Properties

Label 36.6.h.a.11.2
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.50860 + 1.28660i) q^{2} +(-13.2152 - 8.26786i) q^{3} +(28.6893 - 14.1747i) q^{4} +(38.3603 - 22.1474i) q^{5} +(83.4349 + 28.5416i) q^{6} +(-102.940 - 59.4323i) q^{7} +(-139.801 + 114.994i) q^{8} +(106.285 + 218.523i) q^{9} +O(q^{10})\) \(q+(-5.50860 + 1.28660i) q^{2} +(-13.2152 - 8.26786i) q^{3} +(28.6893 - 14.1747i) q^{4} +(38.3603 - 22.1474i) q^{5} +(83.4349 + 28.5416i) q^{6} +(-102.940 - 59.4323i) q^{7} +(-139.801 + 114.994i) q^{8} +(106.285 + 218.523i) q^{9} +(-182.817 + 171.355i) q^{10} +(-349.253 + 604.924i) q^{11} +(-496.331 - 49.8776i) q^{12} +(-271.774 - 470.726i) q^{13} +(643.519 + 194.947i) q^{14} +(-690.052 - 24.4752i) q^{15} +(622.157 - 813.324i) q^{16} +1884.06i q^{17} +(-866.633 - 1067.01i) q^{18} +961.023i q^{19} +(786.601 - 1179.14i) q^{20} +(868.996 + 1636.50i) q^{21} +(1145.60 - 3781.63i) q^{22} +(-566.279 - 980.824i) q^{23} +(2798.26 - 363.821i) q^{24} +(-581.490 + 1007.17i) q^{25} +(2102.73 + 2243.38i) q^{26} +(402.137 - 3766.59i) q^{27} +(-3795.71 - 245.936i) q^{28} +(173.063 + 99.9180i) q^{29} +(3832.71 - 752.994i) q^{30} +(225.699 - 130.308i) q^{31} +(-2380.79 + 5280.74i) q^{32} +(9616.89 - 5106.64i) q^{33} +(-2424.02 - 10378.5i) q^{34} -5265.07 q^{35} +(6146.75 + 4762.74i) q^{36} -11136.8 q^{37} +(-1236.45 - 5293.89i) q^{38} +(-300.339 + 8467.74i) q^{39} +(-2816.00 + 7507.44i) q^{40} +(-8446.51 + 4876.59i) q^{41} +(-6892.47 - 7896.79i) q^{42} +(5303.93 + 3062.23i) q^{43} +(-1445.24 + 22305.4i) q^{44} +(8916.85 + 6028.70i) q^{45} +(4381.33 + 4674.39i) q^{46} +(-589.363 + 1020.81i) q^{47} +(-14946.4 + 5604.37i) q^{48} +(-1339.11 - 2319.40i) q^{49} +(1907.37 - 6296.23i) q^{50} +(15577.1 - 24898.3i) q^{51} +(-14469.4 - 9652.51i) q^{52} -34070.7i q^{53} +(2630.87 + 21266.0i) q^{54} +30940.1i q^{55} +(21225.5 - 3528.78i) q^{56} +(7945.60 - 12700.2i) q^{57} +(-1081.89 - 327.746i) q^{58} +(5319.11 + 9212.96i) q^{59} +(-20144.1 + 9079.09i) q^{60} +(-5470.51 + 9475.20i) q^{61} +(-1075.63 + 1008.20i) q^{62} +(2046.38 - 28811.5i) q^{63} +(6320.66 - 32152.6i) q^{64} +(-20850.7 - 12038.1i) q^{65} +(-46405.4 + 40503.5i) q^{66} +(49766.8 - 28732.9i) q^{67} +(26705.9 + 54052.3i) q^{68} +(-625.799 + 17643.7i) q^{69} +(29003.2 - 6774.02i) q^{70} -70902.1 q^{71} +(-39987.7 - 18327.6i) q^{72} -18551.8 q^{73} +(61348.0 - 14328.5i) q^{74} +(16011.7 - 8502.31i) q^{75} +(13622.2 + 27571.1i) q^{76} +(71904.1 - 41513.8i) q^{77} +(-9240.11 - 47031.8i) q^{78} +(12856.7 + 7422.81i) q^{79} +(5853.17 - 44978.5i) q^{80} +(-36455.9 + 46451.6i) q^{81} +(40254.2 - 37730.4i) q^{82} +(1200.62 - 2079.54i) q^{83} +(48127.8 + 34632.5i) q^{84} +(41726.9 + 72273.0i) q^{85} +(-33157.1 - 10044.6i) q^{86} +(-1460.96 - 2751.30i) q^{87} +(-20736.8 - 124731. i) q^{88} -28779.3i q^{89} +(-56875.8 - 21737.3i) q^{90} +64608.5i q^{91} +(-30149.0 - 20112.4i) q^{92} +(-4060.03 - 144.004i) q^{93} +(1933.20 - 6381.49i) q^{94} +(21284.1 + 36865.2i) q^{95} +(75123.2 - 50102.2i) q^{96} +(-78738.0 + 136378. i) q^{97} +(10360.7 + 11053.8i) q^{98} +(-169310. - 12025.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.50860 + 1.28660i −0.973792 + 0.227440i
\(3\) −13.2152 8.26786i −0.847758 0.530383i
\(4\) 28.6893 14.1747i 0.896542 0.442959i
\(5\) 38.3603 22.1474i 0.686211 0.396184i −0.115980 0.993252i \(-0.537001\pi\)
0.802191 + 0.597068i \(0.203668\pi\)
\(6\) 83.4349 + 28.5416i 0.946170 + 0.323669i
\(7\) −102.940 59.4323i −0.794032 0.458435i 0.0473481 0.998878i \(-0.484923\pi\)
−0.841380 + 0.540444i \(0.818256\pi\)
\(8\) −139.801 + 114.994i −0.772299 + 0.635259i
\(9\) 106.285 + 218.523i 0.437387 + 0.899273i
\(10\) −182.817 + 171.355i −0.578118 + 0.541873i
\(11\) −349.253 + 604.924i −0.870279 + 1.50737i −0.00857110 + 0.999963i \(0.502728\pi\)
−0.861708 + 0.507404i \(0.830605\pi\)
\(12\) −496.331 49.8776i −0.994989 0.0999890i
\(13\) −271.774 470.726i −0.446014 0.772520i 0.552108 0.833773i \(-0.313824\pi\)
−0.998122 + 0.0612530i \(0.980490\pi\)
\(14\) 643.519 + 194.947i 0.877488 + 0.265825i
\(15\) −690.052 24.4752i −0.791870 0.0280865i
\(16\) 622.157 813.324i 0.607575 0.794262i
\(17\) 1884.06i 1.58114i 0.612369 + 0.790572i \(0.290217\pi\)
−0.612369 + 0.790572i \(0.709783\pi\)
\(18\) −866.633 1067.01i −0.630455 0.776226i
\(19\) 961.023i 0.610731i 0.952235 + 0.305366i \(0.0987786\pi\)
−0.952235 + 0.305366i \(0.901221\pi\)
\(20\) 786.601 1179.14i 0.439724 0.659158i
\(21\) 868.996 + 1636.50i 0.430001 + 0.809783i
\(22\) 1145.60 3781.63i 0.504635 1.66580i
\(23\) −566.279 980.824i −0.223208 0.386608i 0.732572 0.680690i \(-0.238320\pi\)
−0.955780 + 0.294081i \(0.904986\pi\)
\(24\) 2798.26 363.821i 0.991653 0.128932i
\(25\) −581.490 + 1007.17i −0.186077 + 0.322294i
\(26\) 2102.73 + 2243.38i 0.610027 + 0.650832i
\(27\) 402.137 3766.59i 0.106161 0.994349i
\(28\) −3795.71 245.936i −0.914951 0.0592825i
\(29\) 173.063 + 99.9180i 0.0382128 + 0.0220622i 0.518985 0.854784i \(-0.326310\pi\)
−0.480772 + 0.876846i \(0.659643\pi\)
\(30\) 3832.71 752.994i 0.777505 0.152753i
\(31\) 225.699 130.308i 0.0421819 0.0243537i −0.478761 0.877945i \(-0.658914\pi\)
0.520943 + 0.853592i \(0.325581\pi\)
\(32\) −2380.79 + 5280.74i −0.411005 + 0.911633i
\(33\) 9616.89 5106.64i 1.53727 0.816302i
\(34\) −2424.02 10378.5i −0.359616 1.53971i
\(35\) −5265.07 −0.726498
\(36\) 6146.75 + 4762.74i 0.790477 + 0.612492i
\(37\) −11136.8 −1.33738 −0.668690 0.743541i \(-0.733145\pi\)
−0.668690 + 0.743541i \(0.733145\pi\)
\(38\) −1236.45 5293.89i −0.138905 0.594725i
\(39\) −300.339 + 8467.74i −0.0316192 + 0.891468i
\(40\) −2816.00 + 7507.44i −0.278280 + 0.741894i
\(41\) −8446.51 + 4876.59i −0.784725 + 0.453061i −0.838102 0.545513i \(-0.816335\pi\)
0.0533772 + 0.998574i \(0.483001\pi\)
\(42\) −6892.47 7896.79i −0.602909 0.690761i
\(43\) 5303.93 + 3062.23i 0.437448 + 0.252561i 0.702515 0.711669i \(-0.252061\pi\)
−0.265066 + 0.964230i \(0.585394\pi\)
\(44\) −1445.24 + 22305.4i −0.112540 + 1.73692i
\(45\) 8916.85 + 6028.70i 0.656417 + 0.443805i
\(46\) 4381.33 + 4674.39i 0.305289 + 0.325710i
\(47\) −589.363 + 1020.81i −0.0389169 + 0.0674061i −0.884828 0.465918i \(-0.845724\pi\)
0.845911 + 0.533324i \(0.179057\pi\)
\(48\) −14946.4 + 5604.37i −0.936340 + 0.351094i
\(49\) −1339.11 2319.40i −0.0796755 0.138002i
\(50\) 1907.37 6296.23i 0.107897 0.356169i
\(51\) 15577.1 24898.3i 0.838612 1.34043i
\(52\) −14469.4 9652.51i −0.742065 0.495030i
\(53\) 34070.7i 1.66606i −0.553227 0.833031i \(-0.686604\pi\)
0.553227 0.833031i \(-0.313396\pi\)
\(54\) 2630.87 + 21266.0i 0.122776 + 0.992434i
\(55\) 30940.1i 1.37916i
\(56\) 21225.5 3528.78i 0.904455 0.150368i
\(57\) 7945.60 12700.2i 0.323921 0.517752i
\(58\) −1081.89 327.746i −0.0422292 0.0127929i
\(59\) 5319.11 + 9212.96i 0.198934 + 0.344564i 0.948183 0.317725i \(-0.102919\pi\)
−0.749249 + 0.662288i \(0.769585\pi\)
\(60\) −20144.1 + 9079.09i −0.722386 + 0.325585i
\(61\) −5470.51 + 9475.20i −0.188236 + 0.326035i −0.944662 0.328045i \(-0.893610\pi\)
0.756426 + 0.654079i \(0.226944\pi\)
\(62\) −1075.63 + 1008.20i −0.0355374 + 0.0333093i
\(63\) 2046.38 28811.5i 0.0649584 0.914565i
\(64\) 6320.66 32152.6i 0.192891 0.981220i
\(65\) −20850.7 12038.1i −0.612120 0.353408i
\(66\) −46405.4 + 40503.5i −1.31132 + 1.14454i
\(67\) 49766.8 28732.9i 1.35442 0.781974i 0.365554 0.930790i \(-0.380879\pi\)
0.988865 + 0.148816i \(0.0475461\pi\)
\(68\) 26705.9 + 54052.3i 0.700382 + 1.41756i
\(69\) −625.799 + 17643.7i −0.0158238 + 0.446136i
\(70\) 29003.2 6774.02i 0.707458 0.165235i
\(71\) −70902.1 −1.66922 −0.834610 0.550842i \(-0.814307\pi\)
−0.834610 + 0.550842i \(0.814307\pi\)
\(72\) −39987.7 18327.6i −0.909065 0.416653i
\(73\) −18551.8 −0.407454 −0.203727 0.979028i \(-0.565305\pi\)
−0.203727 + 0.979028i \(0.565305\pi\)
\(74\) 61348.0 14328.5i 1.30233 0.304174i
\(75\) 16011.7 8502.31i 0.328687 0.174536i
\(76\) 13622.2 + 27571.1i 0.270529 + 0.547546i
\(77\) 71904.1 41513.8i 1.38206 0.797932i
\(78\) −9240.11 47031.8i −0.171965 0.875296i
\(79\) 12856.7 + 7422.81i 0.231772 + 0.133814i 0.611389 0.791330i \(-0.290611\pi\)
−0.379617 + 0.925144i \(0.623944\pi\)
\(80\) 5853.17 44978.5i 0.102251 0.785743i
\(81\) −36455.9 + 46451.6i −0.617385 + 0.786661i
\(82\) 40254.2 37730.4i 0.661115 0.619665i
\(83\) 1200.62 2079.54i 0.0191298 0.0331338i −0.856302 0.516475i \(-0.827244\pi\)
0.875432 + 0.483342i \(0.160577\pi\)
\(84\) 48127.8 + 34632.5i 0.744214 + 0.535532i
\(85\) 41726.9 + 72273.0i 0.626424 + 1.08500i
\(86\) −33157.1 10044.6i −0.483426 0.146449i
\(87\) −1460.96 2751.30i −0.0206938 0.0389709i
\(88\) −20736.8 124731.i −0.285454 1.71699i
\(89\) 28779.3i 0.385129i −0.981284 0.192564i \(-0.938320\pi\)
0.981284 0.192564i \(-0.0616804\pi\)
\(90\) −56875.8 21737.3i −0.740153 0.282878i
\(91\) 64608.5i 0.817874i
\(92\) −30149.0 20112.4i −0.371367 0.247739i
\(93\) −4060.03 144.004i −0.0486768 0.00172650i
\(94\) 1933.20 6381.49i 0.0225661 0.0744908i
\(95\) 21284.1 + 36865.2i 0.241962 + 0.419090i
\(96\) 75123.2 50102.2i 0.831948 0.554854i
\(97\) −78738.0 + 136378.i −0.849680 + 1.47169i 0.0318145 + 0.999494i \(0.489871\pi\)
−0.881494 + 0.472195i \(0.843462\pi\)
\(98\) 10360.7 + 11053.8i 0.108975 + 0.116264i
\(99\) −169310. 12025.5i −1.73618 0.123315i
\(100\) −2406.25 + 37137.5i −0.0240625 + 0.371375i
\(101\) −48022.2 27725.6i −0.468424 0.270444i 0.247156 0.968976i \(-0.420504\pi\)
−0.715580 + 0.698531i \(0.753837\pi\)
\(102\) −53774.1 + 157196.i −0.511767 + 1.49603i
\(103\) −99722.3 + 57574.7i −0.926188 + 0.534735i −0.885604 0.464441i \(-0.846255\pi\)
−0.0405841 + 0.999176i \(0.512922\pi\)
\(104\) 92125.0 + 34555.6i 0.835207 + 0.313281i
\(105\) 69579.2 + 43530.9i 0.615894 + 0.385322i
\(106\) 43835.2 + 187682.i 0.378929 + 1.62240i
\(107\) −162431. −1.37155 −0.685773 0.727815i \(-0.740536\pi\)
−0.685773 + 0.727815i \(0.740536\pi\)
\(108\) −41853.1 113761.i −0.345278 0.938500i
\(109\) 174442. 1.40632 0.703160 0.711032i \(-0.251772\pi\)
0.703160 + 0.711032i \(0.251772\pi\)
\(110\) −39807.4 170437.i −0.313677 1.34302i
\(111\) 147175. + 92077.2i 1.13377 + 0.709324i
\(112\) −112382. + 46747.2i −0.846551 + 0.352136i
\(113\) −79120.9 + 45680.5i −0.582901 + 0.336538i −0.762286 0.647241i \(-0.775923\pi\)
0.179384 + 0.983779i \(0.442589\pi\)
\(114\) −27429.2 + 80182.9i −0.197675 + 0.577856i
\(115\) −43445.3 25083.2i −0.306336 0.176863i
\(116\) 6381.37 + 413.469i 0.0440321 + 0.00285297i
\(117\) 73979.1 109420.i 0.499625 0.738979i
\(118\) −41154.2 43907.0i −0.272088 0.290288i
\(119\) 111974. 193944.i 0.724851 1.25548i
\(120\) 99284.5 75930.4i 0.629402 0.481351i
\(121\) −163430. 283069.i −1.01477 1.75764i
\(122\) 17944.1 59233.4i 0.109150 0.360302i
\(123\) 151942. + 5389.16i 0.905553 + 0.0321187i
\(124\) 4628.10 6937.65i 0.0270301 0.0405190i
\(125\) 189935.i 1.08725i
\(126\) 25796.1 + 161344.i 0.144753 + 0.905370i
\(127\) 188373.i 1.03636i −0.855273 0.518178i \(-0.826611\pi\)
0.855273 0.518178i \(-0.173389\pi\)
\(128\) 6549.41 + 185248.i 0.0353327 + 0.999376i
\(129\) −44774.7 84320.2i −0.236896 0.446126i
\(130\) 130346. + 39486.9i 0.676456 + 0.204925i
\(131\) 123193. + 213376.i 0.627201 + 1.08634i 0.988111 + 0.153743i \(0.0491328\pi\)
−0.360910 + 0.932601i \(0.617534\pi\)
\(132\) 203517. 282823.i 1.01664 1.41280i
\(133\) 57115.8 98927.5i 0.279980 0.484940i
\(134\) −237178. + 222308.i −1.14107 + 1.06953i
\(135\) −67993.9 153394.i −0.321096 0.724392i
\(136\) −216656. 263393.i −1.00444 1.22112i
\(137\) 88854.7 + 51300.3i 0.404463 + 0.233517i 0.688408 0.725324i \(-0.258310\pi\)
−0.283945 + 0.958841i \(0.591643\pi\)
\(138\) −19253.1 97997.4i −0.0860602 0.438043i
\(139\) 194249. 112150.i 0.852750 0.492335i −0.00882796 0.999961i \(-0.502810\pi\)
0.861578 + 0.507626i \(0.169477\pi\)
\(140\) −151051. + 74630.7i −0.651336 + 0.321808i
\(141\) 16228.5 8617.44i 0.0687432 0.0365032i
\(142\) 390572. 91222.4i 1.62547 0.379647i
\(143\) 379671. 1.55263
\(144\) 243856. + 49511.6i 0.980004 + 0.198976i
\(145\) 8851.68 0.0349627
\(146\) 102194. 23868.6i 0.396775 0.0926713i
\(147\) −1479.86 + 41722.9i −0.00564841 + 0.159251i
\(148\) −319507. + 157860.i −1.19902 + 0.592404i
\(149\) −27795.8 + 16047.9i −0.102568 + 0.0592179i −0.550407 0.834897i \(-0.685527\pi\)
0.447838 + 0.894115i \(0.352194\pi\)
\(150\) −77262.8 + 67436.4i −0.280377 + 0.244718i
\(151\) −65816.4 37999.1i −0.234905 0.135622i 0.377928 0.925835i \(-0.376637\pi\)
−0.612833 + 0.790213i \(0.709970\pi\)
\(152\) −110512. 134352.i −0.387973 0.471667i
\(153\) −411710. + 200247.i −1.42188 + 0.691572i
\(154\) −342679. + 321194.i −1.16436 + 1.09136i
\(155\) 5771.93 9997.28i 0.0192971 0.0334236i
\(156\) 111411. + 247191.i 0.366536 + 0.813245i
\(157\) −255695. 442876.i −0.827890 1.43395i −0.899690 0.436529i \(-0.856208\pi\)
0.0717997 0.997419i \(-0.477126\pi\)
\(158\) −80372.5 24348.0i −0.256133 0.0775925i
\(159\) −281691. + 450252.i −0.883651 + 1.41242i
\(160\) 25626.4 + 255299.i 0.0791385 + 0.788406i
\(161\) 134621.i 0.409306i
\(162\) 141057. 302787.i 0.422286 0.906463i
\(163\) 206451.i 0.608623i 0.952573 + 0.304311i \(0.0984263\pi\)
−0.952573 + 0.304311i \(0.901574\pi\)
\(164\) −173201. + 259633.i −0.502852 + 0.753789i
\(165\) 255809. 408881.i 0.731485 1.16920i
\(166\) −3938.22 + 13000.1i −0.0110925 + 0.0366163i
\(167\) −160986. 278836.i −0.446681 0.773674i 0.551487 0.834184i \(-0.314061\pi\)
−0.998168 + 0.0605096i \(0.980727\pi\)
\(168\) −309675. 128855.i −0.846511 0.352232i
\(169\) 37924.7 65687.4i 0.102142 0.176915i
\(170\) −322843. 344438.i −0.856779 0.914089i
\(171\) −210006. + 102142.i −0.549214 + 0.267126i
\(172\) 195572. + 12671.7i 0.504065 + 0.0326599i
\(173\) 474593. + 274007.i 1.20561 + 0.696058i 0.961797 0.273764i \(-0.0882688\pi\)
0.243812 + 0.969823i \(0.421602\pi\)
\(174\) 11587.7 + 13276.1i 0.0290150 + 0.0332429i
\(175\) 119717. 69118.5i 0.295502 0.170608i
\(176\) 274709. + 660414.i 0.668485 + 1.60707i
\(177\) 5878.18 165729.i 0.0141030 0.397618i
\(178\) 37027.4 + 158534.i 0.0875937 + 0.375035i
\(179\) 169767. 0.396024 0.198012 0.980200i \(-0.436551\pi\)
0.198012 + 0.980200i \(0.436551\pi\)
\(180\) 341273. + 46565.9i 0.785093 + 0.107124i
\(181\) 652433. 1.48027 0.740133 0.672461i \(-0.234763\pi\)
0.740133 + 0.672461i \(0.234763\pi\)
\(182\) −83125.0 355902.i −0.186017 0.796439i
\(183\) 150634. 79987.6i 0.332502 0.176561i
\(184\) 191955. + 72001.4i 0.417980 + 0.156782i
\(185\) −427210. + 246650.i −0.917724 + 0.529848i
\(186\) 22550.4 4430.36i 0.0477938 0.00938981i
\(187\) −1.13971e6 658012.i −2.38337 1.37604i
\(188\) −2438.83 + 37640.3i −0.00503254 + 0.0776710i
\(189\) −265253. + 363832.i −0.540139 + 0.740877i
\(190\) −164676. 175692.i −0.330938 0.353075i
\(191\) −130899. + 226724.i −0.259629 + 0.449690i −0.966143 0.258009i \(-0.916934\pi\)
0.706514 + 0.707699i \(0.250267\pi\)
\(192\) −349362. + 372646.i −0.683948 + 0.729531i
\(193\) 456035. + 789876.i 0.881262 + 1.52639i 0.849939 + 0.526882i \(0.176639\pi\)
0.0313238 + 0.999509i \(0.490028\pi\)
\(194\) 258273. 852557.i 0.492690 1.62637i
\(195\) 176017. + 331477.i 0.331488 + 0.624262i
\(196\) −71294.8 47560.6i −0.132562 0.0884316i
\(197\) 141457.i 0.259693i −0.991534 0.129846i \(-0.958552\pi\)
0.991534 0.129846i \(-0.0414484\pi\)
\(198\) 948136. 151590.i 1.71873 0.274795i
\(199\) 568072.i 1.01688i 0.861097 + 0.508441i \(0.169778\pi\)
−0.861097 + 0.508441i \(0.830222\pi\)
\(200\) −34525.8 207671.i −0.0610336 0.367114i
\(201\) −895240. 31752.9i −1.56297 0.0554362i
\(202\) 300207. + 90944.3i 0.517657 + 0.156818i
\(203\) −11876.7 20571.1i −0.0202281 0.0350362i
\(204\) 93972.2 935115.i 0.158097 1.57322i
\(205\) −216007. + 374136.i −0.358991 + 0.621791i
\(206\) 475255. 445458.i 0.780294 0.731373i
\(207\) 154146. 227992.i 0.250038 0.369823i
\(208\) −551939. 71825.2i −0.884571 0.115111i
\(209\) −581346. 335640.i −0.920596 0.531506i
\(210\) −439290. 150274.i −0.687391 0.235145i
\(211\) 395205. 228172.i 0.611106 0.352822i −0.162292 0.986743i \(-0.551889\pi\)
0.773398 + 0.633920i \(0.218555\pi\)
\(212\) −482941. 977465.i −0.737996 1.49369i
\(213\) 936989. + 586209.i 1.41509 + 0.885326i
\(214\) 894770. 208983.i 1.33560 0.311945i
\(215\) 271281. 0.400242
\(216\) 376917. + 572816.i 0.549681 + 0.835374i
\(217\) −30977.9 −0.0446584
\(218\) −960930. + 224436.i −1.36946 + 0.319854i
\(219\) 245166. + 153383.i 0.345422 + 0.216107i
\(220\) 438566. + 887652.i 0.610912 + 1.23648i
\(221\) 886874. 512037.i 1.22147 0.705213i
\(222\) −929194. 317862.i −1.26539 0.432868i
\(223\) 105529. + 60927.0i 0.142105 + 0.0820441i 0.569367 0.822084i \(-0.307188\pi\)
−0.427262 + 0.904128i \(0.640522\pi\)
\(224\) 558925. 402102.i 0.744275 0.535447i
\(225\) −281894. 20022.0i −0.371218 0.0263664i
\(226\) 377073. 353432.i 0.491082 0.460293i
\(227\) 63879.8 110643.i 0.0822809 0.142515i −0.821948 0.569562i \(-0.807113\pi\)
0.904229 + 0.427047i \(0.140446\pi\)
\(228\) 47933.5 476986.i 0.0610664 0.607670i
\(229\) −194394. 336700.i −0.244959 0.424282i 0.717161 0.696908i \(-0.245441\pi\)
−0.962120 + 0.272626i \(0.912108\pi\)
\(230\) 271595. + 82276.5i 0.338533 + 0.102555i
\(231\) −1.29346e6 45877.2i −1.59486 0.0565675i
\(232\) −35684.4 + 5932.61i −0.0435269 + 0.00723645i
\(233\) 147353.i 0.177815i −0.996040 0.0889077i \(-0.971662\pi\)
0.996040 0.0889077i \(-0.0283376\pi\)
\(234\) −266742. + 697932.i −0.318458 + 0.833247i
\(235\) 52211.3i 0.0616730i
\(236\) 283193. + 188917.i 0.330980 + 0.220796i
\(237\) −108534. 204392.i −0.125514 0.236370i
\(238\) −367291. + 1.21243e6i −0.420308 + 1.38744i
\(239\) −186495. 323018.i −0.211189 0.365790i 0.740898 0.671618i \(-0.234400\pi\)
−0.952087 + 0.305827i \(0.901067\pi\)
\(240\) −449227. + 546009.i −0.503429 + 0.611888i
\(241\) −292951. + 507405.i −0.324902 + 0.562746i −0.981492 0.191501i \(-0.938665\pi\)
0.656591 + 0.754247i \(0.271998\pi\)
\(242\) 1.26447e6 + 1.34905e6i 1.38793 + 1.48077i
\(243\) 865829. 312456.i 0.940625 0.339448i
\(244\) −22637.4 + 349380.i −0.0243418 + 0.375684i
\(245\) −102737. 59315.3i −0.109348 0.0631323i
\(246\) −843919. + 165801.i −0.889125 + 0.174682i
\(247\) 452379. 261181.i 0.471802 0.272395i
\(248\) −16568.4 + 44171.2i −0.0171061 + 0.0456048i
\(249\) −33059.8 + 17555.0i −0.0337911 + 0.0179433i
\(250\) −244369. 1.04627e6i −0.247284 1.05876i
\(251\) −713349. −0.714691 −0.357345 0.933972i \(-0.616318\pi\)
−0.357345 + 0.933972i \(0.616318\pi\)
\(252\) −349685. 855590.i −0.346877 0.848720i
\(253\) 791098. 0.777015
\(254\) 242359. + 1.03767e6i 0.235709 + 1.00919i
\(255\) 46112.6 1.30010e6i 0.0444089 1.25206i
\(256\) −274417. 1.01203e6i −0.261705 0.965148i
\(257\) 487256. 281317.i 0.460176 0.265683i −0.251942 0.967742i \(-0.581069\pi\)
0.712118 + 0.702059i \(0.247736\pi\)
\(258\) 355132. + 406879.i 0.332155 + 0.380554i
\(259\) 1.14642e6 + 661883.i 1.06192 + 0.613101i
\(260\) −768828. 49814.8i −0.705336 0.0457009i
\(261\) −3440.39 + 48438.1i −0.00312613 + 0.0440135i
\(262\) −953148. 1.01690e6i −0.857841 0.915222i
\(263\) −833666. + 1.44395e6i −0.743195 + 1.28725i 0.207838 + 0.978163i \(0.433357\pi\)
−0.951033 + 0.309088i \(0.899976\pi\)
\(264\) −757217. + 1.81980e6i −0.668668 + 1.60699i
\(265\) −754575. 1.30696e6i −0.660067 1.14327i
\(266\) −187349. + 618437.i −0.162348 + 0.535909i
\(267\) −237943. + 380326.i −0.204266 + 0.326496i
\(268\) 1.02050e6 1.52976e6i 0.867911 1.30102i
\(269\) 909140.i 0.766038i −0.923740 0.383019i \(-0.874884\pi\)
0.923740 0.383019i \(-0.125116\pi\)
\(270\) 571907. + 757505.i 0.477437 + 0.632377i
\(271\) 1.38725e6i 1.14744i 0.819050 + 0.573722i \(0.194501\pi\)
−0.819050 + 0.573722i \(0.805499\pi\)
\(272\) 1.53235e6 + 1.17218e6i 1.25584 + 0.960664i
\(273\) 534174. 853817.i 0.433787 0.693359i
\(274\) −555467. 168273.i −0.446974 0.135406i
\(275\) −406174. 703514.i −0.323877 0.560972i
\(276\) 232140. + 515058.i 0.183433 + 0.406989i
\(277\) −540237. + 935718.i −0.423044 + 0.732733i −0.996235 0.0866882i \(-0.972372\pi\)
0.573192 + 0.819421i \(0.305705\pi\)
\(278\) −925748. + 867707.i −0.718424 + 0.673382i
\(279\) 52463.7 + 35470.8i 0.0403505 + 0.0272810i
\(280\) 736063. 605453.i 0.561073 0.461514i
\(281\) −340589. 196639.i −0.257315 0.148561i 0.365794 0.930696i \(-0.380797\pi\)
−0.623109 + 0.782135i \(0.714131\pi\)
\(282\) −78308.9 + 68349.5i −0.0586393 + 0.0511814i
\(283\) 248928. 143719.i 0.184760 0.106671i −0.404767 0.914420i \(-0.632647\pi\)
0.589527 + 0.807749i \(0.299314\pi\)
\(284\) −2.03414e6 + 1.00501e6i −1.49653 + 0.739395i
\(285\) 23521.2 663156.i 0.0171533 0.483619i
\(286\) −2.09146e6 + 488483.i −1.51194 + 0.353130i
\(287\) 1.15931e6 0.830796
\(288\) −1.40701e6 + 41005.1i −0.999576 + 0.0291311i
\(289\) −2.12981e6 −1.50002
\(290\) −48760.3 + 11388.5i −0.0340464 + 0.00795193i
\(291\) 2.16810e6 1.15128e6i 1.50088 0.796980i
\(292\) −532238. + 262965.i −0.365299 + 0.180485i
\(293\) −1.55571e6 + 898188.i −1.05867 + 0.611221i −0.925063 0.379814i \(-0.875988\pi\)
−0.133603 + 0.991035i \(0.542655\pi\)
\(294\) −45528.6 231739.i −0.0307196 0.156362i
\(295\) 408086. + 235608.i 0.273021 + 0.157629i
\(296\) 1.55693e6 1.28066e6i 1.03286 0.849583i
\(297\) 2.13805e6 + 1.55876e6i 1.40646 + 1.02538i
\(298\) 132469. 124164.i 0.0864118 0.0809941i
\(299\) −307799. + 533124.i −0.199108 + 0.344866i
\(300\) 338846. 470886.i 0.217370 0.302073i
\(301\) −363990. 630450.i −0.231565 0.401083i
\(302\) 411446. + 124643.i 0.259594 + 0.0786412i
\(303\) 405393. + 763442.i 0.253671 + 0.477715i
\(304\) 781624. + 597907.i 0.485081 + 0.371065i
\(305\) 484629.i 0.298304i
\(306\) 2.01031e6 1.63279e6i 1.22732 0.996840i
\(307\) 1.13601e6i 0.687918i −0.938985 0.343959i \(-0.888232\pi\)
0.938985 0.343959i \(-0.111768\pi\)
\(308\) 1.47444e6 2.21022e6i 0.885623 1.32757i
\(309\) 1.79387e6 + 63626.2i 1.06880 + 0.0379088i
\(310\) −18932.8 + 62497.2i −0.0111895 + 0.0369365i
\(311\) −176499. 305706.i −0.103477 0.179227i 0.809638 0.586929i \(-0.199663\pi\)
−0.913115 + 0.407703i \(0.866330\pi\)
\(312\) −931753. 1.21834e6i −0.541894 0.708566i
\(313\) 68385.0 118446.i 0.0394548 0.0683377i −0.845624 0.533780i \(-0.820771\pi\)
0.885078 + 0.465442i \(0.154105\pi\)
\(314\) 1.97832e6 + 2.11065e6i 1.13233 + 1.20807i
\(315\) −559599. 1.15054e6i −0.317761 0.653320i
\(316\) 474066. + 30716.2i 0.267068 + 0.0173041i
\(317\) −609932. 352144.i −0.340905 0.196822i 0.319767 0.947496i \(-0.396395\pi\)
−0.660672 + 0.750675i \(0.729729\pi\)
\(318\) 972433. 2.84268e6i 0.539252 1.57638i
\(319\) −120886. + 69793.3i −0.0665117 + 0.0384005i
\(320\) −469633. 1.37337e6i −0.256380 0.749744i
\(321\) 2.14657e6 + 1.34296e6i 1.16274 + 0.727445i
\(322\) −173203. 741573.i −0.0930926 0.398579i
\(323\) −1.81062e6 −0.965654
\(324\) −387461. + 1.84942e6i −0.205053 + 0.978751i
\(325\) 632134. 0.331972
\(326\) −265619. 1.13726e6i −0.138425 0.592672i
\(327\) −2.30529e6 1.44226e6i −1.19222 0.745889i
\(328\) 620051. 1.65305e6i 0.318231 0.848403i
\(329\) 121338. 70054.4i 0.0618025 0.0356817i
\(330\) −883082. + 2.58149e6i −0.446392 + 1.30492i
\(331\) −1.21122e6 699299.i −0.607650 0.350827i 0.164395 0.986395i \(-0.447433\pi\)
−0.772045 + 0.635567i \(0.780766\pi\)
\(332\) 4968.27 76679.0i 0.00247377 0.0381796i
\(333\) −1.18367e6 2.43364e6i −0.584953 1.20267i
\(334\) 1.24556e6 + 1.32887e6i 0.610939 + 0.651805i
\(335\) 1.27272e6 2.20441e6i 0.619611 1.07320i
\(336\) 1.87166e6 + 311386.i 0.904438 + 0.150470i
\(337\) 565468. + 979419.i 0.271227 + 0.469779i 0.969176 0.246368i \(-0.0792372\pi\)
−0.697949 + 0.716147i \(0.745904\pi\)
\(338\) −124399. + 410640.i −0.0592276 + 0.195510i
\(339\) 1.42328e6 + 50481.8i 0.672653 + 0.0238581i
\(340\) 2.22156e6 + 1.48200e6i 1.04222 + 0.695266i
\(341\) 182041.i 0.0847781i
\(342\) 1.02542e6 832855.i 0.474065 0.385038i
\(343\) 2.31610e6i 1.06297i
\(344\) −1.09363e6 + 181819.i −0.498283 + 0.0828406i
\(345\) 366756. + 690679.i 0.165894 + 0.312413i
\(346\) −2.96688e6 898783.i −1.33232 0.403612i
\(347\) 669599. + 1.15978e6i 0.298532 + 0.517073i 0.975800 0.218663i \(-0.0701697\pi\)
−0.677268 + 0.735736i \(0.736836\pi\)
\(348\) −80912.8 58224.3i −0.0358154 0.0257725i
\(349\) −997138. + 1.72709e6i −0.438220 + 0.759019i −0.997552 0.0699247i \(-0.977724\pi\)
0.559333 + 0.828943i \(0.311057\pi\)
\(350\) −570544. + 534773.i −0.248954 + 0.233346i
\(351\) −1.88232e6 + 834364.i −0.815503 + 0.361483i
\(352\) −2.36295e6 3.28452e6i −1.01648 1.41291i
\(353\) 1.57369e6 + 908571.i 0.672175 + 0.388081i 0.796900 0.604111i \(-0.206472\pi\)
−0.124725 + 0.992191i \(0.539805\pi\)
\(354\) 180846. + 920498.i 0.0767009 + 0.390405i
\(355\) −2.71983e6 + 1.57029e6i −1.14544 + 0.661318i
\(356\) −407938. 825661.i −0.170596 0.345284i
\(357\) −3.08326e6 + 1.63724e6i −1.28038 + 0.679894i
\(358\) −935180. + 218422.i −0.385645 + 0.0900717i
\(359\) −1.16638e6 −0.477644 −0.238822 0.971063i \(-0.576761\pi\)
−0.238822 + 0.971063i \(0.576761\pi\)
\(360\) −1.93985e6 + 182568.i −0.788882 + 0.0742450i
\(361\) 1.55253e6 0.627008
\(362\) −3.59399e6 + 839418.i −1.44147 + 0.336672i
\(363\) −180608. + 5.09204e6i −0.0719399 + 2.02827i
\(364\) 915805. + 1.85358e6i 0.362284 + 0.733258i
\(365\) −711652. + 410873.i −0.279599 + 0.161427i
\(366\) −726869. + 634424.i −0.283631 + 0.247558i
\(367\) 1.42589e6 + 823237.i 0.552612 + 0.319051i 0.750175 0.661240i \(-0.229969\pi\)
−0.197563 + 0.980290i \(0.563303\pi\)
\(368\) −1.15004e6 149658.i −0.442684 0.0576076i
\(369\) −1.96339e6 1.32745e6i −0.750655 0.507519i
\(370\) 2.03599e6 1.90834e6i 0.773164 0.724689i
\(371\) −2.02490e6 + 3.50723e6i −0.763780 + 1.32291i
\(372\) −118521. + 53418.3i −0.0444056 + 0.0200139i
\(373\) 973750. + 1.68658e6i 0.362389 + 0.627677i 0.988354 0.152175i \(-0.0486278\pi\)
−0.625964 + 0.779852i \(0.715294\pi\)
\(374\) 7.12481e6 + 2.15838e6i 2.63387 + 0.797901i
\(375\) 1.57035e6 2.51003e6i 0.576659 0.921725i
\(376\) −34993.3 210483.i −0.0127648 0.0767800i
\(377\) 108620.i 0.0393602i
\(378\) 993068. 2.34548e6i 0.357478 0.844310i
\(379\) 4.71999e6i 1.68789i −0.536432 0.843943i \(-0.680228\pi\)
0.536432 0.843943i \(-0.319772\pi\)
\(380\) 1.13318e6 + 755942.i 0.402569 + 0.268553i
\(381\) −1.55744e6 + 2.48939e6i −0.549666 + 0.878579i
\(382\) 429369. 1.41734e6i 0.150547 0.496955i
\(383\) −252323. 437037.i −0.0878943 0.152237i 0.818727 0.574184i \(-0.194680\pi\)
−0.906621 + 0.421946i \(0.861347\pi\)
\(384\) 1.44505e6 2.50225e6i 0.500098 0.865969i
\(385\) 1.83884e6 3.18497e6i 0.632256 1.09510i
\(386\) −3.52837e6 3.76438e6i −1.20533 1.28595i
\(387\) −105439. + 1.48450e6i −0.0357869 + 0.503853i
\(388\) −325824. + 5.02869e6i −0.109876 + 1.69580i
\(389\) 1.60551e6 + 926943.i 0.537947 + 0.310584i 0.744247 0.667905i \(-0.232809\pi\)
−0.206299 + 0.978489i \(0.566142\pi\)
\(390\) −1.39608e6 1.59951e6i −0.464783 0.532508i
\(391\) 1.84793e6 1.06690e6i 0.611284 0.352925i
\(392\) 453926. + 170265.i 0.149200 + 0.0559642i
\(393\) 136141. 3.83835e6i 0.0444639 1.25361i
\(394\) 181998. + 779232.i 0.0590645 + 0.252887i
\(395\) 657583. 0.212059
\(396\) −5.02787e6 + 2.05492e6i −1.61119 + 0.658501i
\(397\) −2.32765e6 −0.741209 −0.370605 0.928791i \(-0.620850\pi\)
−0.370605 + 0.928791i \(0.620850\pi\)
\(398\) −730879. 3.12928e6i −0.231280 0.990233i
\(399\) −1.57272e6 + 835125.i −0.494559 + 0.262615i
\(400\) 457378. + 1.09956e6i 0.142931 + 0.343612i
\(401\) 3.17463e6 1.83287e6i 0.985897 0.569208i 0.0818519 0.996645i \(-0.473917\pi\)
0.904045 + 0.427436i \(0.140583\pi\)
\(402\) 4.97237e6 976898.i 1.53461 0.301498i
\(403\) −122678. 70828.3i −0.0376275 0.0217242i
\(404\) −1.77073e6 114731.i −0.539757 0.0349725i
\(405\) −369683. + 2.58930e6i −0.111993 + 0.784413i
\(406\) 91890.7 + 98037.2i 0.0276666 + 0.0295173i
\(407\) 3.88955e6 6.73690e6i 1.16389 2.01592i
\(408\) 685459. + 5.27208e6i 0.203860 + 1.56795i
\(409\) 699640. + 1.21181e6i 0.206807 + 0.358201i 0.950707 0.310090i \(-0.100359\pi\)
−0.743900 + 0.668291i \(0.767026\pi\)
\(410\) 708536. 2.33888e6i 0.208163 0.687144i
\(411\) −750092. 1.41258e6i −0.219033 0.412486i
\(412\) −2.04486e6 + 3.06531e6i −0.593501 + 0.889675i
\(413\) 1.26451e6i 0.364793i
\(414\) −555794. + 1.45424e6i −0.159372 + 0.416999i
\(415\) 106362.i 0.0303157i
\(416\) 3.13282e6 314466.i 0.887569 0.0890922i
\(417\) −3.49428e6 123937.i −0.984052 0.0349030i
\(418\) 3.63424e6 + 1.10095e6i 1.01736 + 0.308196i
\(419\) 1.83298e6 + 3.17481e6i 0.510061 + 0.883452i 0.999932 + 0.0116570i \(0.00371063\pi\)
−0.489871 + 0.871795i \(0.662956\pi\)
\(420\) 2.61322e6 + 262609.i 0.722857 + 0.0726418i
\(421\) 2.68932e6 4.65804e6i 0.739498 1.28085i −0.213224 0.977003i \(-0.568396\pi\)
0.952722 0.303845i \(-0.0982704\pi\)
\(422\) −1.88346e6 + 1.76538e6i −0.514844 + 0.482566i
\(423\) −285711. 20293.1i −0.0776382 0.00551438i
\(424\) 3.91793e6 + 4.76312e6i 1.05838 + 1.28670i
\(425\) −1.89756e6 1.09556e6i −0.509594 0.294214i
\(426\) −5.91571e6 2.02366e6i −1.57937 0.540274i
\(427\) 1.12627e6 650249.i 0.298931 0.172588i
\(428\) −4.66005e6 + 2.30241e6i −1.22965 + 0.607538i
\(429\) −5.01745e6 3.13907e6i −1.31625 0.823488i
\(430\) −1.49438e6 + 349029.i −0.389753 + 0.0910312i
\(431\) 7.43683e6 1.92839 0.964194 0.265198i \(-0.0854372\pi\)
0.964194 + 0.265198i \(0.0854372\pi\)
\(432\) −2.81327e6 2.67048e6i −0.725273 0.688461i
\(433\) 4.75454e6 1.21868 0.609339 0.792910i \(-0.291435\pi\)
0.609339 + 0.792910i \(0.291435\pi\)
\(434\) 170645. 39856.0i 0.0434879 0.0101571i
\(435\) −116977. 73184.4i −0.0296399 0.0185437i
\(436\) 5.00462e6 2.47266e6i 1.26083 0.622942i
\(437\) 942594. 544207.i 0.236114 0.136320i
\(438\) −1.54786e6 529498.i −0.385521 0.131880i
\(439\) −1.50776e6 870508.i −0.373398 0.215582i 0.301544 0.953452i \(-0.402498\pi\)
−0.674942 + 0.737871i \(0.735831\pi\)
\(440\) −3.55794e6 4.32546e6i −0.876126 1.06513i
\(441\) 364516. 539144.i 0.0892524 0.132010i
\(442\) −4.22665e6 + 3.96165e6i −1.02906 + 0.964541i
\(443\) 412027. 713652.i 0.0997509 0.172774i −0.811831 0.583893i \(-0.801529\pi\)
0.911582 + 0.411119i \(0.134862\pi\)
\(444\) 5.52752e6 + 555475.i 1.33068 + 0.133723i
\(445\) −637386. 1.10399e6i −0.152582 0.264279i
\(446\) −659703. 199850.i −0.157040 0.0475736i
\(447\) 500010. + 17734.7i 0.118361 + 0.00419812i
\(448\) −2.56155e6 + 2.93413e6i −0.602987 + 0.690692i
\(449\) 3.08674e6i 0.722577i 0.932454 + 0.361289i \(0.117663\pi\)
−0.932454 + 0.361289i \(0.882337\pi\)
\(450\) 1.57860e6 252390.i 0.367486 0.0587545i
\(451\) 6.81266e6i 1.57716i
\(452\) −1.62242e6 + 2.43206e6i −0.373523 + 0.559922i
\(453\) 555609. + 1.04633e6i 0.127211 + 0.239565i
\(454\) −209535. + 691676.i −0.0477109 + 0.157494i
\(455\) 1.43091e6 + 2.47840e6i 0.324028 + 0.561234i
\(456\) 349641. + 2.68919e6i 0.0787426 + 0.605634i
\(457\) 1.12118e6 1.94195e6i 0.251123 0.434958i −0.712712 0.701456i \(-0.752534\pi\)
0.963835 + 0.266499i \(0.0858668\pi\)
\(458\) 1.50404e6 + 1.60464e6i 0.335038 + 0.357449i
\(459\) 7.09647e6 + 757648.i 1.57221 + 0.167856i
\(460\) −1.60196e6 103796.i −0.352986 0.0228711i
\(461\) −3.91078e6 2.25789e6i −0.857059 0.494823i 0.00596751 0.999982i \(-0.498100\pi\)
−0.863026 + 0.505159i \(0.831434\pi\)
\(462\) 7.18418e6 1.41144e6i 1.56593 0.307650i
\(463\) −7.40455e6 + 4.27502e6i −1.60526 + 0.926799i −0.614853 + 0.788642i \(0.710784\pi\)
−0.990410 + 0.138157i \(0.955882\pi\)
\(464\) 188938. 78591.7i 0.0407403 0.0169466i
\(465\) −158934. + 84395.0i −0.0340866 + 0.0181002i
\(466\) 189584. + 811709.i 0.0404423 + 0.173155i
\(467\) −7.67458e6 −1.62841 −0.814203 0.580581i \(-0.802826\pi\)
−0.814203 + 0.580581i \(0.802826\pi\)
\(468\) 571418. 4.18782e6i 0.120598 0.883839i
\(469\) −6.83065e6 −1.43394
\(470\) −67174.9 287611.i −0.0140269 0.0600567i
\(471\) −282570. + 7.96677e6i −0.0586913 + 1.65474i
\(472\) −1.80305e6 676315.i −0.372524 0.139732i
\(473\) −3.70483e6 + 2.13898e6i −0.761404 + 0.439597i
\(474\) 860837. + 986273.i 0.175985 + 0.201628i
\(475\) −967913. 558825.i −0.196835 0.113643i
\(476\) 463357. 7.15133e6i 0.0937342 1.44667i
\(477\) 7.44524e6 3.62121e6i 1.49824 0.728714i
\(478\) 1.44292e6 + 1.53943e6i 0.288850 + 0.308171i
\(479\) 2.80988e6 4.86685e6i 0.559562 0.969191i −0.437970 0.898989i \(-0.644303\pi\)
0.997533 0.0702012i \(-0.0223641\pi\)
\(480\) 1.77212e6 3.58572e6i 0.351067 0.710351i
\(481\) 3.02668e6 + 5.24236e6i 0.596491 + 1.03315i
\(482\) 960922. 3.17200e6i 0.188396 0.621893i
\(483\) 1.11303e6 1.77905e6i 0.217089 0.346992i
\(484\) −8.70111e6 5.80450e6i −1.68835 1.12629i
\(485\) 6.97536e6i 1.34652i
\(486\) −4.36750e6 + 2.83517e6i −0.838769 + 0.544488i
\(487\) 4.64134e6i 0.886790i 0.896326 + 0.443395i \(0.146226\pi\)
−0.896326 + 0.443395i \(0.853774\pi\)
\(488\) −324810. 1.95372e6i −0.0617419 0.371375i
\(489\) 1.70691e6 2.72830e6i 0.322803 0.515965i
\(490\) 642252. + 194563.i 0.120841 + 0.0366075i
\(491\) −32004.7 55433.7i −0.00599115 0.0103770i 0.863014 0.505180i \(-0.168574\pi\)
−0.869005 + 0.494803i \(0.835240\pi\)
\(492\) 4.43549e6 1.99911e6i 0.826094 0.372327i
\(493\) −188251. + 326060.i −0.0348835 + 0.0604200i
\(494\) −2.15594e6 + 2.02077e6i −0.397483 + 0.372563i
\(495\) −6.76114e6 + 3.28848e6i −1.24024 + 0.603228i
\(496\) 34438.1 264639.i 0.00628543 0.0483002i
\(497\) 7.29865e6 + 4.21388e6i 1.32541 + 0.765228i
\(498\) 159527. 139238.i 0.0288245 0.0251585i
\(499\) 3.98798e6 2.30246e6i 0.716972 0.413944i −0.0966654 0.995317i \(-0.530818\pi\)
0.813637 + 0.581373i \(0.197484\pi\)
\(500\) 2.69226e6 + 5.44910e6i 0.481607 + 0.974765i
\(501\) −177907. + 5.01590e6i −0.0316664 + 0.892800i
\(502\) 3.92956e6 917792.i 0.695960 0.162549i
\(503\) −4.30022e6 −0.757829 −0.378914 0.925432i \(-0.623703\pi\)
−0.378914 + 0.925432i \(0.623703\pi\)
\(504\) 3.02707e6 + 4.26320e6i 0.530819 + 0.747583i
\(505\) −2.45620e6 −0.428583
\(506\) −4.35785e6 + 1.01782e6i −0.756651 + 0.176724i
\(507\) −1.04428e6 + 554520.i −0.180425 + 0.0958070i
\(508\) −2.67012e6 5.40429e6i −0.459063 0.929136i
\(509\) −6.05140e6 + 3.49378e6i −1.03529 + 0.597724i −0.918495 0.395433i \(-0.870595\pi\)
−0.116793 + 0.993156i \(0.537261\pi\)
\(510\) 1.41868e6 + 7.22104e6i 0.241524 + 1.22935i
\(511\) 1.90971e6 + 1.10257e6i 0.323531 + 0.186791i
\(512\) 2.81373e6 + 5.22181e6i 0.474359 + 0.880331i
\(513\) 3.61978e6 + 386463.i 0.607280 + 0.0648357i
\(514\) −2.32216e6 + 2.17657e6i −0.387689 + 0.363382i
\(515\) −2.55025e6 + 4.41717e6i −0.423707 + 0.733882i
\(516\) −2.47977e6 1.78442e6i −0.410003 0.295035i
\(517\) −411674. 713040.i −0.0677372 0.117324i
\(518\) −7.16672e6 2.17108e6i −1.17354 0.355509i
\(519\) −4.00642e6 7.54493e6i −0.652887 1.22952i
\(520\) 4.29926e6 714761.i 0.697245 0.115919i
\(521\) 6.03385e6i 0.973868i −0.873439 0.486934i \(-0.838115\pi\)
0.873439 0.486934i \(-0.161885\pi\)
\(522\) −43368.5 271253.i −0.00696624 0.0435710i
\(523\) 1.21106e6i 0.193603i 0.995304 + 0.0968013i \(0.0308612\pi\)
−0.995304 + 0.0968013i \(0.969139\pi\)
\(524\) 6.55885e6 + 4.37540e6i 1.04352 + 0.696129i
\(525\) −2.15355e6 76383.4i −0.341001 0.0120948i
\(526\) 2.73455e6 9.02675e6i 0.430945 1.42255i
\(527\) 245507. + 425230.i 0.0385067 + 0.0666956i
\(528\) 1.82986e6 1.09988e7i 0.285649 1.71696i
\(529\) 2.57683e6 4.46320e6i 0.400356 0.693437i
\(530\) 5.83819e6 + 6.22870e6i 0.902793 + 0.963181i
\(531\) −1.44791e6 + 2.14155e6i −0.222846 + 0.329604i
\(532\) 236350. 3.64776e6i 0.0362057 0.558789i
\(533\) 4.59108e6 + 2.65066e6i 0.699997 + 0.404144i
\(534\) 821410. 2.40120e6i 0.124654 0.364397i
\(535\) −6.23092e6 + 3.59743e6i −0.941170 + 0.543385i
\(536\) −3.65334e6 + 9.73979e6i −0.549260 + 1.46433i
\(537\) −2.24352e6 1.40361e6i −0.335733 0.210044i
\(538\) 1.16970e6 + 5.00809e6i 0.174228 + 0.745962i
\(539\) 1.87075e6 0.277360
\(540\) −4.12501e6 3.43698e6i −0.608752 0.507215i
\(541\) −4.95265e6 −0.727519 −0.363760 0.931493i \(-0.618507\pi\)
−0.363760 + 0.931493i \(0.618507\pi\)
\(542\) −1.78483e6 7.64180e6i −0.260975 1.11737i
\(543\) −8.62206e6 5.39422e6i −1.25491 0.785108i
\(544\) −9.94922e6 4.48555e6i −1.44142 0.649858i
\(545\) 6.69165e6 3.86342e6i 0.965032 0.557161i
\(546\) −1.84403e6 + 5.39060e6i −0.264720 + 0.773848i
\(547\) 381241. + 220109.i 0.0544792 + 0.0314536i 0.526992 0.849870i \(-0.323320\pi\)
−0.472513 + 0.881324i \(0.656653\pi\)
\(548\) 3.27635e6 + 212285.i 0.466056 + 0.0301972i
\(549\) −2.65199e6 188361.i −0.375526 0.0266723i
\(550\) 3.14259e6 + 3.35280e6i 0.442977 + 0.472607i
\(551\) −96023.5 + 166318.i −0.0134741 + 0.0233378i
\(552\) −1.94144e6 2.53858e6i −0.271192 0.354603i
\(553\) −882310. 1.52821e6i −0.122690 0.212505i
\(554\) 1.77206e6 5.84957e6i 0.245304 0.809747i
\(555\) 7.68495e6 + 272575.i 1.05903 + 0.0375624i
\(556\) 3.98319e6 5.97092e6i 0.546442 0.819132i
\(557\) 2.77476e6i 0.378955i 0.981885 + 0.189477i \(0.0606794\pi\)
−0.981885 + 0.189477i \(0.939321\pi\)
\(558\) −334638. 127895.i −0.0454978 0.0173887i
\(559\) 3.32893e6i 0.450583i
\(560\) −3.27570e6 + 4.28221e6i −0.441402 + 0.577030i
\(561\) 9.62120e6 + 1.81188e7i 1.29069 + 2.43064i
\(562\) 2.12917e6 + 645007.i 0.284360 + 0.0861437i
\(563\) −1.99125e6 3.44895e6i −0.264762 0.458581i 0.702740 0.711447i \(-0.251960\pi\)
−0.967501 + 0.252867i \(0.918627\pi\)
\(564\) 343435. 477262.i 0.0454618 0.0631770i
\(565\) −2.02340e6 + 3.50464e6i −0.266662 + 0.461872i
\(566\) −1.18634e6 + 1.11196e6i −0.155656 + 0.145897i
\(567\) 6.51349e6 2.61505e6i 0.850856 0.341604i
\(568\) 9.91219e6 8.15334e6i 1.28914 1.06039i
\(569\) −6.64391e6 3.83587e6i −0.860287 0.496687i 0.00382141 0.999993i \(-0.498784\pi\)
−0.864108 + 0.503306i \(0.832117\pi\)
\(570\) 723645. + 3.68333e6i 0.0932907 + 0.474846i
\(571\) 4.95051e6 2.85818e6i 0.635418 0.366859i −0.147429 0.989073i \(-0.547100\pi\)
0.782847 + 0.622214i \(0.213766\pi\)
\(572\) 1.08925e7 5.38172e6i 1.39200 0.687750i
\(573\) 3.60438e6 1.91395e6i 0.458611 0.243526i
\(574\) −6.38617e6 + 1.49156e6i −0.809022 + 0.188956i
\(575\) 1.31714e6 0.166136
\(576\) 7.69789e6 2.03613e6i 0.966753 0.255711i
\(577\) −9.39744e6 −1.17509 −0.587544 0.809192i \(-0.699905\pi\)
−0.587544 + 0.809192i \(0.699905\pi\)
\(578\) 1.17323e7 2.74020e6i 1.46071 0.341164i
\(579\) 503968. 1.42088e7i 0.0624750 1.76142i
\(580\) 253949. 125470.i 0.0313456 0.0154871i
\(581\) −247183. + 142711.i −0.0303794 + 0.0175395i
\(582\) −1.04620e7 + 9.13139e6i −1.28028 + 1.11745i
\(583\) 2.06102e7 + 1.18993e7i 2.51137 + 1.44994i
\(584\) 2.59356e6 2.13335e6i 0.314676 0.258839i
\(585\) 414499. 5.83583e6i 0.0500765 0.705039i
\(586\) 7.41416e6 6.94932e6i 0.891904 0.835985i
\(587\) −7.92251e6 + 1.37222e7i −0.949002 + 1.64372i −0.201471 + 0.979495i \(0.564572\pi\)
−0.747532 + 0.664226i \(0.768761\pi\)
\(588\) 548953. + 1.21798e6i 0.0654775 + 0.145277i
\(589\) 125229. + 216902.i 0.0148736 + 0.0257618i
\(590\) −2.55111e6 772831.i −0.301717 0.0914017i
\(591\) −1.16955e6 + 1.86939e6i −0.137737 + 0.220157i
\(592\) −6.92882e6 + 9.05780e6i −0.812559 + 1.06223i
\(593\) 945465.i 0.110410i −0.998475 0.0552050i \(-0.982419\pi\)
0.998475 0.0552050i \(-0.0175812\pi\)
\(594\) −1.37832e7 5.83575e6i −1.60281 0.678626i
\(595\) 9.91969e6i 1.14870i
\(596\) −569970. + 854401.i −0.0657258 + 0.0985249i
\(597\) 4.69674e6 7.50721e6i 0.539338 0.862071i
\(598\) 1.00963e6 3.33278e6i 0.115454 0.381113i
\(599\) −3.63749e6 6.30031e6i −0.414223 0.717455i 0.581123 0.813815i \(-0.302613\pi\)
−0.995347 + 0.0963599i \(0.969280\pi\)
\(600\) −1.26073e6 + 3.02988e6i −0.142970 + 0.343595i
\(601\) −2.93990e6 + 5.09206e6i −0.332007 + 0.575053i −0.982905 0.184112i \(-0.941059\pi\)
0.650898 + 0.759165i \(0.274392\pi\)
\(602\) 2.81621e6 + 3.00459e6i 0.316719 + 0.337904i
\(603\) 1.15683e7 + 7.82134e6i 1.29561 + 0.875967i
\(604\) −2.42686e6 157244.i −0.270677 0.0175380i
\(605\) −1.25385e7 7.23908e6i −1.39269 0.804072i
\(606\) −3.21539e6 3.68392e6i −0.355674 0.407501i
\(607\) −3.03686e6 + 1.75333e6i −0.334544 + 0.193149i −0.657857 0.753143i \(-0.728537\pi\)
0.323313 + 0.946292i \(0.395203\pi\)
\(608\) −5.07492e6 2.28800e6i −0.556763 0.251013i
\(609\) −13125.0 + 370046.i −0.00143403 + 0.0404309i
\(610\) −623521. 2.66963e6i −0.0678464 0.290487i
\(611\) 640694. 0.0694300
\(612\) −8.97326e6 + 1.15808e7i −0.968438 + 1.24986i
\(613\) 1.60744e7 1.72776 0.863880 0.503697i \(-0.168027\pi\)
0.863880 + 0.503697i \(0.168027\pi\)
\(614\) 1.46159e6 + 6.25783e6i 0.156460 + 0.669889i
\(615\) 5.94789e6 3.15837e6i 0.634125 0.336725i
\(616\) −5.27841e6 + 1.40722e7i −0.560469 + 1.49421i
\(617\) 5.66445e6 3.27037e6i 0.599024 0.345847i −0.169633 0.985507i \(-0.554258\pi\)
0.768658 + 0.639660i \(0.220925\pi\)
\(618\) −9.96359e6 + 1.95750e6i −1.04941 + 0.206172i
\(619\) −9.47481e6 5.47028e6i −0.993903 0.573830i −0.0874641 0.996168i \(-0.527876\pi\)
−0.906439 + 0.422338i \(0.861210\pi\)
\(620\) 23884.7 368631.i 0.00249541 0.0385135i
\(621\) −3.92208e6 + 1.73851e6i −0.408120 + 0.180904i
\(622\) 1.36558e6 + 1.45693e6i 0.141528 + 0.150995i
\(623\) −1.71042e6 + 2.96254e6i −0.176556 + 0.305805i
\(624\) 6.70016e6 + 5.51254e6i 0.688849 + 0.566748i
\(625\) 2.38940e6 + 4.13856e6i 0.244674 + 0.423788i
\(626\) −224313. + 740457.i −0.0228780 + 0.0755203i
\(627\) 4.90760e6 + 9.24206e6i 0.498541 + 0.938858i
\(628\) −1.36133e7 9.08144e6i −1.37742 0.918874i
\(629\) 2.09823e7i 2.11459i
\(630\) 4.56289e6 + 5.61789e6i 0.458024 + 0.563926i
\(631\) 1.64472e7i 1.64444i 0.569168 + 0.822221i \(0.307265\pi\)
−0.569168 + 0.822221i \(0.692735\pi\)
\(632\) −2.65096e6 + 440728.i −0.264004 + 0.0438912i
\(633\) −7.10923e6 252154.i −0.705201 0.0250125i
\(634\) 3.81294e6 + 1.15509e6i 0.376736 + 0.114128i
\(635\) −4.17196e6 7.22604e6i −0.410587 0.711158i
\(636\) −1.69936e6 + 1.69103e7i −0.166588 + 1.65771i
\(637\) −727867. + 1.26070e6i −0.0710728 + 0.123102i
\(638\) 576115. 539994.i 0.0560347 0.0525216i
\(639\) −7.53584e6 1.54938e7i −0.730095 1.50108i
\(640\) 4.35399e6 + 6.96113e6i 0.420182 + 0.671784i
\(641\) −6.01469e6 3.47258e6i −0.578187 0.333816i 0.182226 0.983257i \(-0.441670\pi\)
−0.760413 + 0.649440i \(0.775003\pi\)
\(642\) −1.35524e7 4.63606e6i −1.29772 0.443927i
\(643\) −1.22490e7 + 7.07195e6i −1.16835 + 0.674546i −0.953290 0.302055i \(-0.902327\pi\)
−0.215057 + 0.976601i \(0.568994\pi\)
\(644\) 1.90821e6 + 3.86219e6i 0.181306 + 0.366960i
\(645\) −3.58504e6 2.24291e6i −0.339309 0.212282i
\(646\) 9.97399e6 2.32954e6i 0.940346 0.219628i
\(647\) 1.06848e7 1.00347 0.501736 0.865021i \(-0.332695\pi\)
0.501736 + 0.865021i \(0.332695\pi\)
\(648\) −245082. 1.06862e7i −0.0229284 0.999737i
\(649\) −7.43086e6 −0.692512
\(650\) −3.48217e6 + 813301.i −0.323271 + 0.0755036i
\(651\) 409380. + 256121.i 0.0378595 + 0.0236860i
\(652\) 2.92638e6 + 5.92295e6i 0.269595 + 0.545656i
\(653\) 7.15281e6 4.12968e6i 0.656438 0.378995i −0.134480 0.990916i \(-0.542936\pi\)
0.790919 + 0.611921i \(0.209603\pi\)
\(654\) 1.45545e7 + 4.97885e6i 1.33062 + 0.455182i
\(655\) 9.45143e6 + 5.45678e6i 0.860784 + 0.496974i
\(656\) −1.28880e6 + 9.90376e6i −0.116930 + 0.898546i
\(657\) −1.97178e6 4.05400e6i −0.178215 0.366412i
\(658\) −578270. + 542014.i −0.0520674 + 0.0488030i
\(659\) −1.13554e6 + 1.96681e6i −0.101856 + 0.176420i −0.912450 0.409189i \(-0.865812\pi\)
0.810593 + 0.585610i \(0.199145\pi\)
\(660\) 1.54322e6 1.53565e7i 0.137901 1.37225i
\(661\) 6.82941e6 + 1.18289e7i 0.607967 + 1.05303i 0.991575 + 0.129533i \(0.0413480\pi\)
−0.383608 + 0.923496i \(0.625319\pi\)
\(662\) 7.57185e6 + 2.29381e6i 0.671517 + 0.203429i
\(663\) −1.59537e7 565856.i −1.40954 0.0499944i
\(664\) 71286.6 + 428786.i 0.00627463 + 0.0377416i
\(665\) 5.05986e6i 0.443695i
\(666\) 9.65149e6 + 1.18831e7i 0.843158 + 1.03811i
\(667\) 226326.i 0.0196979i
\(668\) −8.57100e6 5.71770e6i −0.743174 0.495770i
\(669\) −890850. 1.67766e6i −0.0769555 0.144923i
\(670\) −4.17470e6 + 1.37807e7i −0.359284 + 1.18600i
\(671\) −3.82118e6 6.61848e6i −0.327636 0.567482i
\(672\) −1.07109e7 + 692767.i −0.914957 + 0.0591785i
\(673\) −5.08153e6 + 8.80146e6i −0.432471 + 0.749061i −0.997085 0.0762934i \(-0.975691\pi\)
0.564615 + 0.825355i \(0.309025\pi\)
\(674\) −4.37505e6 4.66770e6i −0.370966 0.395779i
\(675\) 3.55975e6 + 2.59525e6i 0.300719 + 0.219240i
\(676\) 156935. 2.42210e6i 0.0132085 0.203857i
\(677\) 2.00175e7 + 1.15571e7i 1.67856 + 0.969120i 0.962578 + 0.271006i \(0.0873564\pi\)
0.715987 + 0.698113i \(0.245977\pi\)
\(678\) −7.90523e6 + 1.55310e6i −0.660451 + 0.129756i
\(679\) 1.62105e7 9.35916e6i 1.34935 0.779045i
\(680\) −1.41444e7 5.30550e6i −1.17304 0.440001i
\(681\) −1.75897e6 + 934025.i −0.145342 + 0.0771775i
\(682\) −234213. 1.00279e6i −0.0192819 0.0825563i
\(683\) −5.18871e6 −0.425606 −0.212803 0.977095i \(-0.568259\pi\)
−0.212803 + 0.977095i \(0.568259\pi\)
\(684\) −4.57710e6 + 5.90717e6i −0.374068 + 0.482769i
\(685\) 4.54466e6 0.370062
\(686\) −2.97989e6 1.27585e7i −0.241763 1.03511i
\(687\) −214826. + 6.05680e6i −0.0173658 + 0.489611i
\(688\) 5.79046e6 2.40863e6i 0.466382 0.193999i
\(689\) −1.60379e7 + 9.25951e6i −1.28707 + 0.743088i
\(690\) −2.90894e6 3.33281e6i −0.232601 0.266494i
\(691\) −1.57664e6 910275.i −0.125614 0.0725233i 0.435876 0.900007i \(-0.356438\pi\)
−0.561490 + 0.827483i \(0.689772\pi\)
\(692\) 1.74997e7 + 1.13386e6i 1.38920 + 0.0900108i
\(693\) 1.67141e7 + 1.13004e7i 1.32205 + 0.893843i
\(694\) −5.18072e6 5.52726e6i −0.408311 0.435623i
\(695\) 4.96764e6 8.60420e6i 0.390111 0.675691i
\(696\) 520628. + 216633.i 0.0407384 + 0.0169512i
\(697\) −9.18777e6 1.59137e7i −0.716355 1.24076i
\(698\) 3.27076e6 1.07968e7i 0.254104 0.838795i
\(699\) −1.21829e6 + 1.94730e6i −0.0943102 + 0.150744i
\(700\) 2.45486e6 3.67991e6i 0.189357 0.283852i
\(701\) 1.38877e7i 1.06742i −0.845667 0.533711i \(-0.820797\pi\)
0.845667 0.533711i \(-0.179203\pi\)
\(702\) 9.29546e6 7.01796e6i 0.711915 0.537487i
\(703\) 1.07027e7i 0.816779i
\(704\) 1.72424e7 + 1.50529e7i 1.31119 + 1.14469i
\(705\) 431676. 689985.i 0.0327103 0.0522838i
\(706\) −9.83780e6 2.98025e6i −0.742824 0.225030i
\(707\) 3.29560e6 + 5.70814e6i 0.247962 + 0.429483i
\(708\) −2.18052e6 4.83798e6i −0.163484 0.362728i
\(709\) −2.24469e6 + 3.88792e6i −0.167703 + 0.290470i −0.937612 0.347684i \(-0.886968\pi\)
0.769909 + 0.638154i \(0.220302\pi\)
\(710\) 1.29621e7 1.21494e7i 0.965006 0.904504i
\(711\) −255584. + 3.59842e6i −0.0189609 + 0.266955i
\(712\) 3.30946e6 + 4.02338e6i 0.244657 + 0.297434i
\(713\) −255617. 147581.i −0.0188307 0.0108719i
\(714\) 1.48780e7 1.29858e7i 1.09219 0.953286i
\(715\) 1.45643e7 8.40871e6i 1.06543 0.615126i
\(716\) 4.87051e6 2.40640e6i 0.355052 0.175422i
\(717\) −206097. + 5.81067e6i −0.0149718 + 0.422113i
\(718\) 6.42513e6 1.50066e6i 0.465126 0.108635i
\(719\) −603305. −0.0435226 −0.0217613 0.999763i \(-0.506927\pi\)
−0.0217613 + 0.999763i \(0.506927\pi\)
\(720\) 1.04510e7 3.50149e6i 0.751320 0.251723i
\(721\) 1.36872e7 0.980564
\(722\) −8.55228e6 + 1.99748e6i −0.610575 + 0.142607i
\(723\) 8.06657e6 4.28341e6i 0.573909 0.304750i
\(724\) 1.87179e7 9.24803e6i 1.32712 0.655696i
\(725\) −201269. + 116203.i −0.0142210 + 0.00821052i
\(726\) −5.55650e6 2.82824e7i −0.391255 1.99147i
\(727\) −1.84417e7 1.06473e7i −1.29409 0.747144i −0.314714 0.949186i \(-0.601909\pi\)
−0.979377 + 0.202043i \(0.935242\pi\)
\(728\) −7.42961e6 9.03234e6i −0.519562 0.631643i
\(729\) −1.40255e7 3.02937e6i −0.977460 0.211122i
\(730\) 3.39158e6 3.17894e6i 0.235556 0.220788i
\(731\) −5.76941e6 + 9.99291e6i −0.399335 + 0.691669i
\(732\) 3.18778e6 4.42998e6i 0.219893 0.305579i
\(733\) −4.21399e6 7.29884e6i −0.289690 0.501758i 0.684046 0.729439i \(-0.260219\pi\)
−0.973736 + 0.227682i \(0.926885\pi\)
\(734\) −8.91382e6 2.70034e6i −0.610694 0.185003i
\(735\) 867285. + 1.63328e6i 0.0592166 + 0.111517i
\(736\) 6.52767e6 655234.i 0.444185 0.0445863i
\(737\) 4.01402e7i 2.72214i
\(738\) 1.25234e7 + 4.78631e6i 0.846412 + 0.323489i
\(739\) 1.72623e7i 1.16275i 0.813635 + 0.581376i \(0.197486\pi\)
−0.813635 + 0.581376i \(0.802514\pi\)
\(740\) −8.76020e6 + 1.31318e7i −0.588077 + 0.881545i
\(741\) −8.13770e6 288633.i −0.544447 0.0193108i
\(742\) 6.64197e6 2.19251e7i 0.442881 1.46195i
\(743\) 8.79333e6 + 1.52305e7i 0.584361 + 1.01214i 0.994955 + 0.100324i \(0.0319881\pi\)
−0.410594 + 0.911818i \(0.634679\pi\)
\(744\) 584157. 446749.i 0.0386898 0.0295890i
\(745\) −710838. + 1.23121e6i −0.0469224 + 0.0812719i
\(746\) −7.53395e6 8.03789e6i −0.495651 0.528805i
\(747\) 582036. + 41340.0i 0.0381635 + 0.00271062i
\(748\) −4.20247e7 2.72291e6i −2.74632 0.177942i
\(749\) 1.67206e7 + 9.65367e6i 1.08905 + 0.628764i
\(750\) −5.42105e6 + 1.58472e7i −0.351909 + 1.02872i
\(751\) −1.82336e7 + 1.05272e7i −1.17970 + 0.681101i −0.955945 0.293544i \(-0.905165\pi\)
−0.223756 + 0.974645i \(0.571832\pi\)
\(752\) 463571. + 1.11445e6i 0.0298931 + 0.0718645i
\(753\) 9.42708e6 + 5.89787e6i 0.605885 + 0.379060i
\(754\) 139750. + 598346.i 0.00895209 + 0.0383287i
\(755\) −3.36632e6 −0.214926
\(756\) −2.45273e6 + 1.41980e7i −0.156079 + 0.903487i
\(757\) −7.12325e6 −0.451792 −0.225896 0.974151i \(-0.572531\pi\)
−0.225896 + 0.974151i \(0.572531\pi\)
\(758\) 6.07272e6 + 2.60005e7i 0.383893 + 1.64365i
\(759\) −1.04546e7 6.54069e6i −0.658720 0.412116i
\(760\) −7.21483e6 2.70624e6i −0.453098 0.169954i
\(761\) −4.12690e6 + 2.38267e6i −0.258323 + 0.149143i −0.623569