Properties

Label 43.6.e.a.4.7
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.14533 + 2.69016i) q^{2} +(12.6069 + 15.8086i) q^{3} +(4.48615 + 19.6551i) q^{4} +(43.8967 + 21.1395i) q^{5} -69.5737 q^{6} +137.995 q^{7} +(-161.703 - 77.8719i) q^{8} +(-36.9042 + 161.688i) q^{9} +O(q^{10})\) \(q+(-2.14533 + 2.69016i) q^{2} +(12.6069 + 15.8086i) q^{3} +(4.48615 + 19.6551i) q^{4} +(43.8967 + 21.1395i) q^{5} -69.5737 q^{6} +137.995 q^{7} +(-161.703 - 77.8719i) q^{8} +(-36.9042 + 161.688i) q^{9} +(-151.042 + 72.7379i) q^{10} +(52.0013 - 227.833i) q^{11} +(-254.163 + 318.710i) q^{12} +(4.63999 + 2.23450i) q^{13} +(-296.045 + 371.229i) q^{14} +(219.216 + 960.449i) q^{15} +(-24.8557 + 11.9699i) q^{16} +(-1217.05 + 586.102i) q^{17} +(-355.794 - 446.152i) q^{18} +(-93.4247 - 409.321i) q^{19} +(-218.573 + 957.630i) q^{20} +(1739.69 + 2181.51i) q^{21} +(501.346 + 628.669i) q^{22} +(469.891 - 2058.73i) q^{23} +(-807.529 - 3538.02i) q^{24} +(-468.364 - 587.310i) q^{25} +(-15.9655 + 7.68857i) q^{26} +(1405.56 - 676.881i) q^{27} +(619.067 + 2712.31i) q^{28} +(2738.41 - 3433.86i) q^{29} +(-3054.06 - 1470.76i) q^{30} +(579.035 - 726.087i) q^{31} +(1299.12 - 5691.80i) q^{32} +(4257.29 - 2050.20i) q^{33} +(1034.27 - 4531.45i) q^{34} +(6057.53 + 2917.15i) q^{35} -3343.55 q^{36} +3042.10 q^{37} +(1301.57 + 626.801i) q^{38} +(23.1717 + 101.522i) q^{39} +(-5452.04 - 6836.64i) q^{40} +(-9698.16 + 12161.1i) q^{41} -9600.83 q^{42} +(4360.63 + 11313.4i) q^{43} +4711.36 q^{44} +(-5037.98 + 6317.42i) q^{45} +(4530.23 + 5680.73i) q^{46} +(-619.220 - 2712.98i) q^{47} +(-502.580 - 242.030i) q^{48} +2235.66 q^{49} +2584.76 q^{50} +(-24608.7 - 11850.9i) q^{51} +(-23.1037 + 101.224i) q^{52} +(24728.1 - 11908.4i) q^{53} +(-1194.47 + 5233.31i) q^{54} +(7098.96 - 8901.82i) q^{55} +(-22314.2 - 10745.9i) q^{56} +(5292.98 - 6637.19i) q^{57} +(3362.83 + 14733.5i) q^{58} +(-25514.7 + 12287.2i) q^{59} +(-17894.3 + 8617.44i) q^{60} +(26948.0 + 33791.7i) q^{61} +(711.069 + 3115.40i) q^{62} +(-5092.60 + 22312.1i) q^{63} +(11974.4 + 15015.4i) q^{64} +(156.444 + 196.175i) q^{65} +(-3617.92 + 15851.2i) q^{66} +(11422.6 + 50045.7i) q^{67} +(-16979.8 - 21292.0i) q^{68} +(38469.4 - 18525.9i) q^{69} +(-20843.0 + 10037.5i) q^{70} +(-17667.4 - 77405.9i) q^{71} +(18558.4 - 23271.6i) q^{72} +(1992.54 + 959.555i) q^{73} +(-6526.31 + 8183.74i) q^{74} +(3379.91 - 14808.4i) q^{75} +(7626.12 - 3672.55i) q^{76} +(7175.93 - 31439.8i) q^{77} +(-322.821 - 155.462i) q^{78} +14224.6 q^{79} -1344.12 q^{80} +(64729.8 + 31172.2i) q^{81} +(-11909.6 - 52179.2i) q^{82} +(-20116.6 - 25225.5i) q^{83} +(-35073.2 + 43980.5i) q^{84} -65814.5 q^{85} +(-39789.9 - 12540.2i) q^{86} +88807.3 q^{87} +(-26150.5 + 32791.7i) q^{88} +(-66784.1 - 83744.6i) q^{89} +(-6186.75 - 27105.9i) q^{90} +(640.296 + 308.350i) q^{91} +42572.5 q^{92} +18778.3 q^{93} +(8626.79 + 4154.44i) q^{94} +(4551.81 - 19942.8i) q^{95} +(106357. - 51218.9i) q^{96} +(40101.0 - 175694. i) q^{97} +(-4796.23 + 6014.28i) q^{98} +(34918.7 + 16815.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.14533 + 2.69016i −0.379245 + 0.475558i −0.934419 0.356176i \(-0.884080\pi\)
0.555174 + 0.831734i \(0.312652\pi\)
\(3\) 12.6069 + 15.8086i 0.808735 + 1.01412i 0.999472 + 0.0324801i \(0.0103405\pi\)
−0.190738 + 0.981641i \(0.561088\pi\)
\(4\) 4.48615 + 19.6551i 0.140192 + 0.614222i
\(5\) 43.8967 + 21.1395i 0.785248 + 0.378156i 0.783143 0.621842i \(-0.213615\pi\)
0.00210567 + 0.999998i \(0.499330\pi\)
\(6\) −69.5737 −0.788982
\(7\) 137.995 1.06443 0.532217 0.846608i \(-0.321359\pi\)
0.532217 + 0.846608i \(0.321359\pi\)
\(8\) −161.703 77.8719i −0.893290 0.430186i
\(9\) −36.9042 + 161.688i −0.151869 + 0.665382i
\(10\) −151.042 + 72.7379i −0.477636 + 0.230017i
\(11\) 52.0013 227.833i 0.129578 0.567720i −0.867899 0.496740i \(-0.834530\pi\)
0.997478 0.0709799i \(-0.0226126\pi\)
\(12\) −254.163 + 318.710i −0.509517 + 0.638915i
\(13\) 4.63999 + 2.23450i 0.00761480 + 0.00366710i 0.437687 0.899127i \(-0.355798\pi\)
−0.430072 + 0.902794i \(0.641512\pi\)
\(14\) −296.045 + 371.229i −0.403681 + 0.506200i
\(15\) 219.216 + 960.449i 0.251562 + 1.10216i
\(16\) −24.8557 + 11.9699i −0.0242731 + 0.0116893i
\(17\) −1217.05 + 586.102i −1.02138 + 0.491870i −0.868140 0.496319i \(-0.834685\pi\)
−0.153239 + 0.988189i \(0.548970\pi\)
\(18\) −355.794 446.152i −0.258832 0.324565i
\(19\) −93.4247 409.321i −0.0593715 0.260123i 0.936528 0.350594i \(-0.114020\pi\)
−0.995899 + 0.0904702i \(0.971163\pi\)
\(20\) −218.573 + 957.630i −0.122186 + 0.535332i
\(21\) 1739.69 + 2181.51i 0.860844 + 1.07946i
\(22\) 501.346 + 628.669i 0.220842 + 0.276927i
\(23\) 469.891 2058.73i 0.185216 0.811482i −0.793879 0.608076i \(-0.791942\pi\)
0.979094 0.203406i \(-0.0652012\pi\)
\(24\) −807.529 3538.02i −0.286174 1.25381i
\(25\) −468.364 587.310i −0.149877 0.187939i
\(26\) −15.9655 + 7.68857i −0.00463179 + 0.00223055i
\(27\) 1405.56 676.881i 0.371056 0.178691i
\(28\) 619.067 + 2712.31i 0.149225 + 0.653799i
\(29\) 2738.41 3433.86i 0.604649 0.758206i −0.381446 0.924391i \(-0.624574\pi\)
0.986095 + 0.166185i \(0.0531451\pi\)
\(30\) −3054.06 1470.76i −0.619546 0.298358i
\(31\) 579.035 726.087i 0.108218 0.135701i −0.724773 0.688988i \(-0.758055\pi\)
0.832991 + 0.553287i \(0.186627\pi\)
\(32\) 1299.12 5691.80i 0.224271 0.982595i
\(33\) 4257.29 2050.20i 0.680531 0.327727i
\(34\) 1034.27 4531.45i 0.153440 0.672264i
\(35\) 6057.53 + 2917.15i 0.835845 + 0.402522i
\(36\) −3343.55 −0.429983
\(37\) 3042.10 0.365316 0.182658 0.983176i \(-0.441530\pi\)
0.182658 + 0.983176i \(0.441530\pi\)
\(38\) 1301.57 + 626.801i 0.146220 + 0.0704159i
\(39\) 23.1717 + 101.522i 0.00243947 + 0.0106880i
\(40\) −5452.04 6836.64i −0.538777 0.675605i
\(41\) −9698.16 + 12161.1i −0.901010 + 1.12983i 0.0899865 + 0.995943i \(0.471318\pi\)
−0.990997 + 0.133888i \(0.957254\pi\)
\(42\) −9600.83 −0.839819
\(43\) 4360.63 + 11313.4i 0.359648 + 0.933088i
\(44\) 4711.36 0.366872
\(45\) −5037.98 + 6317.42i −0.370873 + 0.465060i
\(46\) 4530.23 + 5680.73i 0.315665 + 0.395831i
\(47\) −619.220 2712.98i −0.0408884 0.179144i 0.950360 0.311152i \(-0.100715\pi\)
−0.991249 + 0.132008i \(0.957858\pi\)
\(48\) −502.580 242.030i −0.0314849 0.0151623i
\(49\) 2235.66 0.133019
\(50\) 2584.76 0.146216
\(51\) −24608.7 11850.9i −1.32484 0.638010i
\(52\) −23.1037 + 101.224i −0.00118488 + 0.00519128i
\(53\) 24728.1 11908.4i 1.20921 0.582325i 0.282923 0.959143i \(-0.408696\pi\)
0.926288 + 0.376818i \(0.122982\pi\)
\(54\) −1194.47 + 5233.31i −0.0557431 + 0.244226i
\(55\) 7098.96 8901.82i 0.316438 0.396800i
\(56\) −22314.2 10745.9i −0.950848 0.457904i
\(57\) 5292.98 6637.19i 0.215781 0.270581i
\(58\) 3362.83 + 14733.5i 0.131261 + 0.575091i
\(59\) −25514.7 + 12287.2i −0.954245 + 0.459540i −0.845172 0.534494i \(-0.820502\pi\)
−0.109072 + 0.994034i \(0.534788\pi\)
\(60\) −17894.3 + 8617.44i −0.641707 + 0.309030i
\(61\) 26948.0 + 33791.7i 0.927260 + 1.16275i 0.986378 + 0.164496i \(0.0525997\pi\)
−0.0591181 + 0.998251i \(0.518829\pi\)
\(62\) 711.069 + 3115.40i 0.0234927 + 0.102928i
\(63\) −5092.60 + 22312.1i −0.161655 + 0.708255i
\(64\) 11974.4 + 15015.4i 0.365430 + 0.458234i
\(65\) 156.444 + 196.175i 0.00459278 + 0.00575916i
\(66\) −3617.92 + 15851.2i −0.102235 + 0.447921i
\(67\) 11422.6 + 50045.7i 0.310869 + 1.36201i 0.853087 + 0.521770i \(0.174728\pi\)
−0.542217 + 0.840238i \(0.682415\pi\)
\(68\) −16979.8 21292.0i −0.445307 0.558397i
\(69\) 38469.4 18525.9i 0.972731 0.468443i
\(70\) −20843.0 + 10037.5i −0.508412 + 0.244838i
\(71\) −17667.4 77405.9i −0.415936 1.82233i −0.554751 0.832016i \(-0.687186\pi\)
0.138815 0.990318i \(-0.455671\pi\)
\(72\) 18558.4 23271.6i 0.421901 0.529047i
\(73\) 1992.54 + 959.555i 0.0437622 + 0.0210748i 0.455637 0.890166i \(-0.349412\pi\)
−0.411875 + 0.911241i \(0.635126\pi\)
\(74\) −6526.31 + 8183.74i −0.138544 + 0.173729i
\(75\) 3379.91 14808.4i 0.0693828 0.303986i
\(76\) 7626.12 3672.55i 0.151450 0.0729346i
\(77\) 7175.93 31439.8i 0.137928 0.604300i
\(78\) −322.821 155.462i −0.00600794 0.00289327i
\(79\) 14224.6 0.256432 0.128216 0.991746i \(-0.459075\pi\)
0.128216 + 0.991746i \(0.459075\pi\)
\(80\) −1344.12 −0.0234808
\(81\) 64729.8 + 31172.2i 1.09621 + 0.527905i
\(82\) −11909.6 52179.2i −0.195597 0.856965i
\(83\) −20116.6 25225.5i −0.320524 0.401924i 0.595301 0.803503i \(-0.297033\pi\)
−0.915824 + 0.401579i \(0.868462\pi\)
\(84\) −35073.2 + 43980.5i −0.542348 + 0.680082i
\(85\) −65814.5 −0.988040
\(86\) −39789.9 12540.2i −0.580132 0.182835i
\(87\) 88807.3 1.25791
\(88\) −26150.5 + 32791.7i −0.359976 + 0.451396i
\(89\) −66784.1 83744.6i −0.893713 1.12068i −0.992090 0.125531i \(-0.959937\pi\)
0.0983770 0.995149i \(-0.468635\pi\)
\(90\) −6186.75 27105.9i −0.0805112 0.352743i
\(91\) 640.296 + 308.350i 0.00810545 + 0.00390338i
\(92\) 42572.5 0.524396
\(93\) 18778.3 0.225138
\(94\) 8626.79 + 4154.44i 0.100700 + 0.0484946i
\(95\) 4551.81 19942.8i 0.0517458 0.226713i
\(96\) 106357. 51218.9i 1.17785 0.567221i
\(97\) 40101.0 175694.i 0.432739 1.89595i −0.0112796 0.999936i \(-0.503590\pi\)
0.444019 0.896018i \(-0.353552\pi\)
\(98\) −4796.23 + 6014.28i −0.0504469 + 0.0632584i
\(99\) 34918.7 + 16815.9i 0.358072 + 0.172438i
\(100\) 9442.50 11840.5i 0.0944250 0.118405i
\(101\) 25296.5 + 110831.i 0.246750 + 1.08108i 0.934731 + 0.355355i \(0.115640\pi\)
−0.687981 + 0.725729i \(0.741503\pi\)
\(102\) 84674.8 40777.2i 0.805849 0.388077i
\(103\) −147188. + 70882.1i −1.36704 + 0.658330i −0.966194 0.257817i \(-0.916997\pi\)
−0.400843 + 0.916147i \(0.631283\pi\)
\(104\) −576.294 722.650i −0.00522469 0.00655156i
\(105\) 30250.8 + 132537.i 0.267771 + 1.17318i
\(106\) −21014.4 + 92070.3i −0.181657 + 0.795893i
\(107\) −25626.6 32134.8i −0.216387 0.271341i 0.661776 0.749701i \(-0.269803\pi\)
−0.878164 + 0.478360i \(0.841231\pi\)
\(108\) 19609.7 + 24589.8i 0.161775 + 0.202860i
\(109\) −36032.9 + 157871.i −0.290491 + 1.27273i 0.593352 + 0.804943i \(0.297804\pi\)
−0.883843 + 0.467783i \(0.845053\pi\)
\(110\) 8717.70 + 38194.7i 0.0686942 + 0.300969i
\(111\) 38351.5 + 48091.3i 0.295444 + 0.370475i
\(112\) −3429.96 + 1651.78i −0.0258371 + 0.0124425i
\(113\) −134881. + 64955.4i −0.993701 + 0.478541i −0.858796 0.512317i \(-0.828787\pi\)
−0.134905 + 0.990859i \(0.543073\pi\)
\(114\) 6499.90 + 28477.9i 0.0468430 + 0.205233i
\(115\) 64147.2 80438.0i 0.452307 0.567175i
\(116\) 79777.8 + 38418.9i 0.550474 + 0.265094i
\(117\) −532.526 + 667.767i −0.00359647 + 0.00450983i
\(118\) 21682.8 94998.7i 0.143354 0.628077i
\(119\) −167947. + 80879.2i −1.08719 + 0.523563i
\(120\) 39344.2 172378.i 0.249418 1.09277i
\(121\) 95898.4 + 46182.2i 0.595453 + 0.286755i
\(122\) −148717. −0.904612
\(123\) −314514. −1.87446
\(124\) 16869.0 + 8123.66i 0.0985222 + 0.0474458i
\(125\) −42024.2 184120.i −0.240560 1.05396i
\(126\) −49097.9 61566.8i −0.275509 0.345478i
\(127\) −20372.1 + 25545.8i −0.112079 + 0.140543i −0.834707 0.550695i \(-0.814363\pi\)
0.722627 + 0.691238i \(0.242934\pi\)
\(128\) 120739. 0.651360
\(129\) −123875. + 211563.i −0.655404 + 1.11935i
\(130\) −863.365 −0.00448060
\(131\) 12867.1 16134.8i 0.0655090 0.0821457i −0.747997 0.663702i \(-0.768984\pi\)
0.813506 + 0.581556i \(0.197556\pi\)
\(132\) 59395.8 + 74480.0i 0.296702 + 0.372053i
\(133\) −12892.2 56484.2i −0.0631970 0.276884i
\(134\) −159136. 76636.0i −0.765609 0.368698i
\(135\) 76008.4 0.358944
\(136\) 242442. 1.12398
\(137\) −177515. 85486.6i −0.808040 0.389132i −0.0162067 0.999869i \(-0.505159\pi\)
−0.791833 + 0.610737i \(0.790873\pi\)
\(138\) −32692.0 + 143233.i −0.146132 + 0.640245i
\(139\) −121072. + 58305.3i −0.531505 + 0.255959i −0.680332 0.732904i \(-0.738165\pi\)
0.148827 + 0.988863i \(0.452450\pi\)
\(140\) −30162.0 + 132148.i −0.130059 + 0.569825i
\(141\) 35081.9 43991.3i 0.148606 0.186346i
\(142\) 246137. + 118533.i 1.02437 + 0.493309i
\(143\) 750.378 940.944i 0.00306860 0.00384790i
\(144\) −1018.10 4460.59i −0.00409152 0.0179261i
\(145\) 192797. 92846.3i 0.761519 0.366728i
\(146\) −6856.01 + 3301.68i −0.0266188 + 0.0128190i
\(147\) 28184.8 + 35342.6i 0.107577 + 0.134898i
\(148\) 13647.3 + 59792.8i 0.0512145 + 0.224385i
\(149\) 83254.7 364763.i 0.307216 1.34600i −0.551769 0.833997i \(-0.686047\pi\)
0.858984 0.512002i \(-0.171096\pi\)
\(150\) 32585.8 + 40861.3i 0.118250 + 0.148281i
\(151\) 259746. + 325711.i 0.927056 + 1.16249i 0.986418 + 0.164255i \(0.0525219\pi\)
−0.0593620 + 0.998237i \(0.518907\pi\)
\(152\) −16767.5 + 73463.4i −0.0588655 + 0.257906i
\(153\) −49851.1 218412.i −0.172166 0.754307i
\(154\) 69183.4 + 86753.2i 0.235071 + 0.294770i
\(155\) 40766.9 19632.3i 0.136294 0.0656360i
\(156\) −1891.47 + 910.885i −0.00622284 + 0.00299676i
\(157\) −84292.3 369309.i −0.272922 1.19575i −0.906546 0.422108i \(-0.861290\pi\)
0.633623 0.773642i \(-0.281567\pi\)
\(158\) −30516.4 + 38266.4i −0.0972503 + 0.121948i
\(159\) 500002. + 240788.i 1.56848 + 0.755339i
\(160\) 177349. 222389.i 0.547682 0.686772i
\(161\) 64842.7 284094.i 0.197150 0.863769i
\(162\) −222725. + 107259.i −0.666779 + 0.321104i
\(163\) 28697.4 125732.i 0.0846007 0.370660i −0.914850 0.403793i \(-0.867691\pi\)
0.999451 + 0.0331333i \(0.0105486\pi\)
\(164\) −282535. 136062.i −0.820282 0.395027i
\(165\) 230221. 0.658318
\(166\) 111017. 0.312695
\(167\) −70975.4 34180.0i −0.196932 0.0948376i 0.332819 0.942991i \(-0.392000\pi\)
−0.529751 + 0.848153i \(0.677715\pi\)
\(168\) −111435. 488229.i −0.304613 1.33460i
\(169\) −231481. 290268.i −0.623445 0.781776i
\(170\) 141194. 177052.i 0.374709 0.469870i
\(171\) 69629.9 0.182098
\(172\) −202804. + 136462.i −0.522704 + 0.351716i
\(173\) −331884. −0.843085 −0.421543 0.906809i \(-0.638511\pi\)
−0.421543 + 0.906809i \(0.638511\pi\)
\(174\) −190521. + 238906.i −0.477057 + 0.598210i
\(175\) −64632.0 81046.0i −0.159534 0.200049i
\(176\) 1434.60 + 6285.38i 0.00349099 + 0.0152950i
\(177\) −515905. 248447.i −1.23776 0.596074i
\(178\) 368560. 0.871884
\(179\) 441980. 1.03103 0.515514 0.856881i \(-0.327601\pi\)
0.515514 + 0.856881i \(0.327601\pi\)
\(180\) −146771. 70681.1i −0.337643 0.162601i
\(181\) 163512. 716392.i 0.370982 1.62538i −0.353044 0.935607i \(-0.614854\pi\)
0.724027 0.689772i \(-0.242289\pi\)
\(182\) −2203.16 + 1060.99i −0.00493023 + 0.00237428i
\(183\) −194468. + 852018.i −0.429259 + 1.88071i
\(184\) −236300. + 296310.i −0.514539 + 0.645212i
\(185\) 133538. + 64308.6i 0.286864 + 0.138146i
\(186\) −40285.6 + 50516.5i −0.0853822 + 0.107066i
\(187\) 70244.7 + 307762.i 0.146896 + 0.643593i
\(188\) 50546.0 24341.7i 0.104302 0.0502292i
\(189\) 193960. 93406.3i 0.394965 0.190205i
\(190\) 43884.2 + 55029.0i 0.0881909 + 0.110588i
\(191\) 139408. + 610788.i 0.276507 + 1.21146i 0.902176 + 0.431367i \(0.141969\pi\)
−0.625670 + 0.780088i \(0.715174\pi\)
\(192\) −86412.2 + 378597.i −0.169169 + 0.741180i
\(193\) 44893.8 + 56295.1i 0.0867548 + 0.108787i 0.823314 0.567586i \(-0.192122\pi\)
−0.736560 + 0.676373i \(0.763551\pi\)
\(194\) 386615. + 484800.i 0.737522 + 0.924823i
\(195\) −1128.96 + 4946.31i −0.00212615 + 0.00931526i
\(196\) 10029.5 + 43942.1i 0.0186483 + 0.0817035i
\(197\) 47400.0 + 59437.7i 0.0870187 + 0.109118i 0.823435 0.567411i \(-0.192055\pi\)
−0.736416 + 0.676529i \(0.763483\pi\)
\(198\) −120150. + 57861.1i −0.217801 + 0.104887i
\(199\) −840210. + 404624.i −1.50403 + 0.724301i −0.990974 0.134056i \(-0.957200\pi\)
−0.513052 + 0.858357i \(0.671485\pi\)
\(200\) 30000.8 + 131442.i 0.0530344 + 0.232359i
\(201\) −647148. + 811497.i −1.12983 + 1.41676i
\(202\) −352424. 169718.i −0.607696 0.292651i
\(203\) 377887. 473855.i 0.643609 0.807060i
\(204\) 122533. 536852.i 0.206147 0.903191i
\(205\) −682797. + 328818.i −1.13477 + 0.546476i
\(206\) 125083. 548026.i 0.205367 0.899773i
\(207\) 315530. + 151951.i 0.511817 + 0.246478i
\(208\) −142.077 −0.000227701
\(209\) −98114.8 −0.155371
\(210\) −421445. 202957.i −0.659466 0.317582i
\(211\) 131072. + 574264.i 0.202677 + 0.887985i 0.969299 + 0.245886i \(0.0790789\pi\)
−0.766622 + 0.642099i \(0.778064\pi\)
\(212\) 344996. + 432611.i 0.527199 + 0.661087i
\(213\) 1.00095e6 1.25515e6i 1.51169 1.89559i
\(214\) 141425. 0.211102
\(215\) −47743.3 + 588803.i −0.0704395 + 0.868709i
\(216\) −279993. −0.408331
\(217\) 79904.0 100196.i 0.115191 0.144445i
\(218\) −347395. 435619.i −0.495087 0.620820i
\(219\) 9950.55 + 43596.2i 0.0140196 + 0.0614240i
\(220\) 206813. + 99596.0i 0.288086 + 0.138735i
\(221\) −6956.75 −0.00958133
\(222\) −211650. −0.288228
\(223\) −249289. 120051.i −0.335692 0.161661i 0.258442 0.966027i \(-0.416791\pi\)
−0.594134 + 0.804366i \(0.702505\pi\)
\(224\) 179272. 785440.i 0.238722 1.04591i
\(225\) 112245. 54054.6i 0.147813 0.0711830i
\(226\) 114625. 502203.i 0.149282 0.654046i
\(227\) −490696. + 615314.i −0.632045 + 0.792559i −0.989983 0.141186i \(-0.954908\pi\)
0.357938 + 0.933745i \(0.383480\pi\)
\(228\) 154200. + 74258.7i 0.196448 + 0.0946041i
\(229\) −105570. + 132380.i −0.133030 + 0.166815i −0.843885 0.536524i \(-0.819737\pi\)
0.710855 + 0.703339i \(0.248308\pi\)
\(230\) 78774.3 + 345133.i 0.0981894 + 0.430196i
\(231\) 587485. 282918.i 0.724381 0.348843i
\(232\) −710209. + 342019.i −0.866296 + 0.417186i
\(233\) −47197.6 59184.0i −0.0569548 0.0714191i 0.752538 0.658549i \(-0.228829\pi\)
−0.809493 + 0.587130i \(0.800258\pi\)
\(234\) −653.955 2865.16i −0.000780743 0.00342066i
\(235\) 30169.4 132181.i 0.0356367 0.156135i
\(236\) −355969. 446371.i −0.416037 0.521694i
\(237\) 179328. + 224870.i 0.207385 + 0.260053i
\(238\) 142725. 625318.i 0.163327 0.715581i
\(239\) 109713. + 480685.i 0.124241 + 0.544335i 0.998288 + 0.0584932i \(0.0186296\pi\)
−0.874047 + 0.485841i \(0.838513\pi\)
\(240\) −16945.2 21248.6i −0.0189897 0.0238124i
\(241\) 1.51757e6 730821.i 1.68308 0.810529i 0.686569 0.727064i \(-0.259116\pi\)
0.996511 0.0834641i \(-0.0265984\pi\)
\(242\) −329971. + 158906.i −0.362191 + 0.174422i
\(243\) 238899. + 1.04669e6i 0.259537 + 1.13710i
\(244\) −543287. + 681260.i −0.584190 + 0.732552i
\(245\) 98138.0 + 47260.8i 0.104453 + 0.0503020i
\(246\) 674736. 846093.i 0.710880 0.891416i
\(247\) 481.137 2108.00i 0.000501795 0.00219851i
\(248\) −150173. + 72319.7i −0.155047 + 0.0746667i
\(249\) 145170. 636031.i 0.148381 0.650100i
\(250\) 585468. + 281947.i 0.592452 + 0.285310i
\(251\) 915795. 0.917517 0.458758 0.888561i \(-0.348294\pi\)
0.458758 + 0.888561i \(0.348294\pi\)
\(252\) −461393. −0.457689
\(253\) −444610. 214113.i −0.436695 0.210301i
\(254\) −25017.4 109608.i −0.0243309 0.106600i
\(255\) −829719. 1.04043e6i −0.799062 1.00199i
\(256\) −642205. + 805300.i −0.612455 + 0.767994i
\(257\) −112495. −0.106243 −0.0531213 0.998588i \(-0.516917\pi\)
−0.0531213 + 0.998588i \(0.516917\pi\)
\(258\) −303385. 787116.i −0.283756 0.736189i
\(259\) 419795. 0.388855
\(260\) −3154.00 + 3954.99i −0.00289353 + 0.00362838i
\(261\) 454154. + 569491.i 0.412669 + 0.517470i
\(262\) 15801.1 + 69228.9i 0.0142211 + 0.0623066i
\(263\) 68676.2 + 33072.7i 0.0612234 + 0.0294836i 0.464245 0.885707i \(-0.346326\pi\)
−0.403022 + 0.915190i \(0.632040\pi\)
\(264\) −848068. −0.748895
\(265\) 1.33722e6 1.16974
\(266\) 179610. + 86495.5i 0.155642 + 0.0749530i
\(267\) 481941. 2.11152e6i 0.413729 1.81267i
\(268\) −932410. + 449025.i −0.792994 + 0.381886i
\(269\) 72382.0 317126.i 0.0609888 0.267209i −0.935236 0.354026i \(-0.884812\pi\)
0.996224 + 0.0868169i \(0.0276695\pi\)
\(270\) −163063. + 204475.i −0.136128 + 0.170699i
\(271\) −1.13008e6 544218.i −0.934729 0.450142i −0.0964222 0.995341i \(-0.530740\pi\)
−0.838307 + 0.545199i \(0.816454\pi\)
\(272\) 23235.1 29135.9i 0.0190424 0.0238784i
\(273\) 3197.58 + 14009.5i 0.00259666 + 0.0113767i
\(274\) 610801. 294146.i 0.491500 0.236694i
\(275\) −158164. + 76167.8i −0.126118 + 0.0607351i
\(276\) 536708. + 673011.i 0.424097 + 0.531801i
\(277\) 260629. + 1.14189e6i 0.204090 + 0.894179i 0.968414 + 0.249346i \(0.0802157\pi\)
−0.764324 + 0.644832i \(0.776927\pi\)
\(278\) 102889. 450788.i 0.0798470 0.349833i
\(279\) 96030.5 + 120418.i 0.0738582 + 0.0926153i
\(280\) −752355. 943424.i −0.573493 0.719137i
\(281\) −253162. + 1.10917e6i −0.191264 + 0.837981i 0.784670 + 0.619914i \(0.212832\pi\)
−0.975934 + 0.218067i \(0.930025\pi\)
\(282\) 43081.4 + 188752.i 0.0322602 + 0.141341i
\(283\) −1.46817e6 1.84102e6i −1.08971 1.36645i −0.924939 0.380115i \(-0.875884\pi\)
−0.164767 0.986333i \(-0.552687\pi\)
\(284\) 1.44216e6 694509.i 1.06101 0.510954i
\(285\) 372651. 179459.i 0.271763 0.130874i
\(286\) 921.482 + 4037.27i 0.000666149 + 0.00291859i
\(287\) −1.33830e6 + 1.67817e6i −0.959065 + 1.20263i
\(288\) 872351. + 420102.i 0.619741 + 0.298451i
\(289\) 252435. 316544.i 0.177789 0.222940i
\(290\) −163843. + 717842.i −0.114402 + 0.501226i
\(291\) 3.28302e6 1.58102e6i 2.27270 1.09447i
\(292\) −9921.34 + 43468.2i −0.00680947 + 0.0298342i
\(293\) −328878. 158379.i −0.223803 0.107778i 0.318623 0.947882i \(-0.396780\pi\)
−0.542426 + 0.840104i \(0.682494\pi\)
\(294\) −155543. −0.104950
\(295\) −1.37976e6 −0.923097
\(296\) −491916. 236894.i −0.326333 0.157154i
\(297\) −81124.8 355431.i −0.0533657 0.233810i
\(298\) 802662. + 1.00651e6i 0.523591 + 0.656562i
\(299\) 6780.52 8502.50i 0.00438616 0.00550007i
\(300\) 306223. 0.196442
\(301\) 601745. + 1.56120e6i 0.382822 + 0.993210i
\(302\) −1.43346e6 −0.904413
\(303\) −1.43318e6 + 1.79714e6i −0.896794 + 1.12454i
\(304\) 7221.64 + 9055.65i 0.00448179 + 0.00561999i
\(305\) 468586. + 2.05301e6i 0.288430 + 1.26369i
\(306\) 694511. + 334459.i 0.424009 + 0.204192i
\(307\) −928956. −0.562534 −0.281267 0.959629i \(-0.590755\pi\)
−0.281267 + 0.959629i \(0.590755\pi\)
\(308\) 650145. 0.390511
\(309\) −2.97614e6 1.43323e6i −1.77320 0.853926i
\(310\) −34644.5 + 151787.i −0.0204753 + 0.0897080i
\(311\) 2.47917e6 1.19391e6i 1.45347 0.699954i 0.470277 0.882519i \(-0.344154\pi\)
0.983194 + 0.182565i \(0.0584399\pi\)
\(312\) 4158.78 18220.8i 0.00241868 0.0105969i
\(313\) −106203. + 133174.i −0.0612739 + 0.0768351i −0.811524 0.584319i \(-0.801362\pi\)
0.750250 + 0.661154i \(0.229933\pi\)
\(314\) 1.17433e6 + 565530.i 0.672152 + 0.323692i
\(315\) −695216. + 871774.i −0.394769 + 0.495025i
\(316\) 63813.6 + 279586.i 0.0359497 + 0.157506i
\(317\) −10194.2 + 4909.27i −0.00569777 + 0.00274390i −0.436730 0.899592i \(-0.643864\pi\)
0.431033 + 0.902336i \(0.358149\pi\)
\(318\) −1.72043e6 + 828515.i −0.954045 + 0.459444i
\(319\) −639944. 802464.i −0.352099 0.441518i
\(320\) 208218. + 912261.i 0.113669 + 0.498017i
\(321\) 184932. 810241.i 0.100173 0.438886i
\(322\) 625150. + 783914.i 0.336004 + 0.421336i
\(323\) 353606. + 443408.i 0.188588 + 0.236482i
\(324\) −322306. + 1.41212e6i −0.170571 + 0.747322i
\(325\) −860.860 3771.67i −0.000452089 0.00198073i
\(326\) 276673. + 346937.i 0.144186 + 0.180803i
\(327\) −2.94997e6 + 1.42063e6i −1.52563 + 0.734704i
\(328\) 2.51523e6 1.21127e6i 1.29090 0.621665i
\(329\) −85449.4 374378.i −0.0435230 0.190687i
\(330\) −493901. + 619332.i −0.249664 + 0.313068i
\(331\) −312059. 150280.i −0.156555 0.0753930i 0.353965 0.935258i \(-0.384833\pi\)
−0.510521 + 0.859865i \(0.670547\pi\)
\(332\) 405563. 508560.i 0.201936 0.253219i
\(333\) −112266. + 491870.i −0.0554802 + 0.243075i
\(334\) 244216. 117608.i 0.119786 0.0576860i
\(335\) −556528. + 2.43831e6i −0.270941 + 1.18707i
\(336\) −69353.6 33398.9i −0.0335136 0.0161393i
\(337\) −1.26440e6 −0.606471 −0.303235 0.952916i \(-0.598067\pi\)
−0.303235 + 0.952916i \(0.598067\pi\)
\(338\) 1.27747e6 0.608218
\(339\) −2.72729e6 1.31339e6i −1.28894 0.620720i
\(340\) −295254. 1.29359e6i −0.138515 0.606876i
\(341\) −135316. 169681.i −0.0630177 0.0790216i
\(342\) −149379. + 187316.i −0.0690597 + 0.0865982i
\(343\) −2.01077e6 −0.922843
\(344\) 175872. 2.16898e6i 0.0801312 0.988234i
\(345\) 2.08031e6 0.940980
\(346\) 712002. 892823.i 0.319736 0.400936i
\(347\) 643000. + 806296.i 0.286673 + 0.359477i 0.904227 0.427052i \(-0.140448\pi\)
−0.617554 + 0.786528i \(0.711876\pi\)
\(348\) 398403. + 1.74552e6i 0.176350 + 0.772638i
\(349\) 12158.9 + 5855.40i 0.00534354 + 0.00257332i 0.436554 0.899678i \(-0.356199\pi\)
−0.431210 + 0.902252i \(0.641913\pi\)
\(350\) 356684. 0.155637
\(351\) 8034.27 0.00348080
\(352\) −1.22922e6 591962.i −0.528778 0.254646i
\(353\) 129050. 565403.i 0.0551213 0.241502i −0.939860 0.341559i \(-0.889045\pi\)
0.994982 + 0.100056i \(0.0319023\pi\)
\(354\) 1.77515e6 854867.i 0.752881 0.362569i
\(355\) 860785. 3.77135e6i 0.362513 1.58827i
\(356\) 1.34641e6 1.68834e6i 0.563055 0.706049i
\(357\) −3.39588e6 1.63537e6i −1.41021 0.679119i
\(358\) −948194. + 1.18900e6i −0.391012 + 0.490313i
\(359\) −259522. 1.13704e6i −0.106277 0.465630i −0.999860 0.0167317i \(-0.994674\pi\)
0.893583 0.448898i \(-0.148183\pi\)
\(360\) 1.30660e6 629228.i 0.531359 0.255889i
\(361\) 2.07207e6 997858.i 0.836830 0.402996i
\(362\) 1.57642e6 + 1.97677e6i 0.632269 + 0.792840i
\(363\) 478908. + 2.09823e6i 0.190759 + 0.835771i
\(364\) −3188.20 + 13968.4i −0.00126122 + 0.00552577i
\(365\) 67181.2 + 84242.6i 0.0263946 + 0.0330978i
\(366\) −1.87487e6 2.35101e6i −0.731591 0.917386i
\(367\) −358195. + 1.56936e6i −0.138821 + 0.608213i 0.856874 + 0.515525i \(0.172403\pi\)
−0.995695 + 0.0926883i \(0.970454\pi\)
\(368\) 12963.2 + 56795.5i 0.00498991 + 0.0218622i
\(369\) −1.60840e6 2.01687e6i −0.614933 0.771102i
\(370\) −459484. + 221276.i −0.174488 + 0.0840291i
\(371\) 3.41236e6 1.64331e6i 1.28712 0.619847i
\(372\) 84242.1 + 369089.i 0.0315625 + 0.138284i
\(373\) 2.55973e6 3.20980e6i 0.952624 1.19455i −0.0281892 0.999603i \(-0.508974\pi\)
0.980813 0.194950i \(-0.0624545\pi\)
\(374\) −978628. 471283.i −0.361775 0.174222i
\(375\) 2.38088e6 2.98553e6i 0.874297 1.09633i
\(376\) −111135. + 486916.i −0.0405399 + 0.177617i
\(377\) 20379.1 9814.08i 0.00738470 0.00355628i
\(378\) −164831. + 722172.i −0.0593348 + 0.259963i
\(379\) 1.35895e6 + 654435.i 0.485965 + 0.234028i 0.660790 0.750571i \(-0.270222\pi\)
−0.174825 + 0.984600i \(0.555936\pi\)
\(380\) 412398. 0.146507
\(381\) −660671. −0.233170
\(382\) −1.94220e6 935313.i −0.680981 0.327943i
\(383\) 1.03506e6 + 4.53489e6i 0.360552 + 1.57968i 0.751796 + 0.659396i \(0.229188\pi\)
−0.391243 + 0.920287i \(0.627955\pi\)
\(384\) 1.52214e6 + 1.90871e6i 0.526777 + 0.660558i
\(385\) 979623. 1.22841e6i 0.336827 0.422368i
\(386\) −247755. −0.0846358
\(387\) −1.99017e6 + 287548.i −0.675479 + 0.0975960i
\(388\) 3.63319e6 1.22520
\(389\) −1.65665e6 + 2.07737e6i −0.555082 + 0.696050i −0.977640 0.210285i \(-0.932561\pi\)
0.422558 + 0.906336i \(0.361132\pi\)
\(390\) −10884.4 13648.6i −0.00362362 0.00454387i
\(391\) 634741. + 2.78098e6i 0.209969 + 0.919933i
\(392\) −361512. 174095.i −0.118825 0.0572230i
\(393\) 417282. 0.136285
\(394\) −261586. −0.0848933
\(395\) 624412. + 300701.i 0.201362 + 0.0969710i
\(396\) −173869. + 761769.i −0.0557165 + 0.244110i
\(397\) −2.75626e6 + 1.32734e6i −0.877694 + 0.422675i −0.817782 0.575528i \(-0.804796\pi\)
−0.0599125 + 0.998204i \(0.519082\pi\)
\(398\) 714027. 3.12835e6i 0.225947 0.989939i
\(399\) 730405. 915899.i 0.229685 0.288015i
\(400\) 18671.5 + 8991.73i 0.00583485 + 0.00280992i
\(401\) 338486. 424448.i 0.105119 0.131815i −0.726489 0.687178i \(-0.758849\pi\)
0.831608 + 0.555363i \(0.187421\pi\)
\(402\) −794712. 3.48186e6i −0.245270 1.07460i
\(403\) 4309.16 2075.18i 0.00132169 0.000636493i
\(404\) −2.06492e6 + 994413.i −0.629433 + 0.303119i
\(405\) 2.18246e6 + 2.73672e6i 0.661163 + 0.829073i
\(406\) 464054. + 2.03315e6i 0.139718 + 0.612146i
\(407\) 158193. 693089.i 0.0473371 0.207397i
\(408\) 3.05644e6 + 3.83266e6i 0.909004 + 1.13986i
\(409\) 2.46738e6 + 3.09399e6i 0.729336 + 0.914558i 0.998826 0.0484453i \(-0.0154267\pi\)
−0.269490 + 0.963003i \(0.586855\pi\)
\(410\) 580254. 2.54226e6i 0.170474 0.746896i
\(411\) −886493. 3.88398e6i −0.258863 1.13415i
\(412\) −2.05350e6 2.57501e6i −0.596009 0.747371i
\(413\) −3.52090e6 + 1.69558e6i −1.01573 + 0.489150i
\(414\) −1.08569e6 + 522841.i −0.311318 + 0.149923i
\(415\) −349799. 1.53257e6i −0.0997009 0.436818i
\(416\) 18746.2 23507.0i 0.00531105 0.00665984i
\(417\) −2.44807e6 1.17893e6i −0.689420 0.332007i
\(418\) 210489. 263945.i 0.0589235 0.0738877i
\(419\) 537105. 2.35321e6i 0.149460 0.654826i −0.843576 0.537010i \(-0.819554\pi\)
0.993035 0.117816i \(-0.0375893\pi\)
\(420\) −2.46933e6 + 1.18917e6i −0.683055 + 0.328942i
\(421\) 264218. 1.15762e6i 0.0726537 0.318316i −0.925522 0.378694i \(-0.876373\pi\)
0.998176 + 0.0603775i \(0.0192304\pi\)
\(422\) −1.82606e6 879382.i −0.499152 0.240379i
\(423\) 461508. 0.125409
\(424\) −4.92594e6 −1.33068
\(425\) 914248. + 440278.i 0.245523 + 0.118237i
\(426\) 1.22919e6 + 5.38541e6i 0.328166 + 1.43779i
\(427\) 3.71869e6 + 4.66309e6i 0.987007 + 1.23767i
\(428\) 516647. 647855.i 0.136328 0.170950i
\(429\) 24334.9 0.00638392
\(430\) −1.48155e6 1.39162e6i −0.386407 0.362951i
\(431\) −1.66063e6 −0.430605 −0.215303 0.976547i \(-0.569074\pi\)
−0.215303 + 0.976547i \(0.569074\pi\)
\(432\) −26833.9 + 33648.7i −0.00691791 + 0.00867478i
\(433\) −3.70387e6 4.64451e6i −0.949371 1.19047i −0.981591 0.190993i \(-0.938829\pi\)
0.0322199 0.999481i \(-0.489742\pi\)
\(434\) 98124.0 + 429909.i 0.0250064 + 0.109560i
\(435\) 3.89835e6 + 1.87735e6i 0.987774 + 0.475687i
\(436\) −3.26461e6 −0.822461
\(437\) −886578. −0.222082
\(438\) −138628. 66759.7i −0.0345276 0.0166276i
\(439\) −1.02138e6 + 4.47498e6i −0.252946 + 1.10823i 0.675675 + 0.737200i \(0.263852\pi\)
−0.928621 + 0.371030i \(0.879005\pi\)
\(440\) −1.84112e6 + 886639.i −0.453368 + 0.218331i
\(441\) −82505.1 + 361478.i −0.0202015 + 0.0885087i
\(442\) 14924.5 18714.8i 0.00363367 0.00455648i
\(443\) −6.56066e6 3.15945e6i −1.58832 0.764895i −0.589249 0.807952i \(-0.700576\pi\)
−0.999073 + 0.0430566i \(0.986290\pi\)
\(444\) −773189. + 969548.i −0.186135 + 0.233406i
\(445\) −1.16128e6 5.08790e6i −0.277995 1.21797i
\(446\) 857765. 413078.i 0.204189 0.0983320i
\(447\) 6.81597e6 3.28240e6i 1.61346 0.777002i
\(448\) 1.65241e6 + 2.07206e6i 0.388976 + 0.487760i
\(449\) 1.51755e6 + 6.64882e6i 0.355244 + 1.55643i 0.764877 + 0.644177i \(0.222800\pi\)
−0.409632 + 0.912251i \(0.634343\pi\)
\(450\) −95388.3 + 417924.i −0.0222057 + 0.0972894i
\(451\) 2.26638e6 + 2.84195e6i 0.524676 + 0.657923i
\(452\) −1.88180e6 2.35971e6i −0.433240 0.543265i
\(453\) −1.87443e6 + 8.21242e6i −0.429165 + 1.88029i
\(454\) −602586. 2.64010e6i −0.137208 0.601148i
\(455\) 21588.5 + 27071.1i 0.00488871 + 0.00613025i
\(456\) −1.37274e6 + 661077.i −0.309155 + 0.148881i
\(457\) 5.48055e6 2.63929e6i 1.22753 0.591149i 0.296134 0.955146i \(-0.404303\pi\)
0.931400 + 0.363997i \(0.118588\pi\)
\(458\) −129642. 567999.i −0.0288790 0.126527i
\(459\) −1.31392e6 + 1.64760e6i −0.291096 + 0.365023i
\(460\) 1.86879e6 + 899963.i 0.411781 + 0.198303i
\(461\) −3.55348e6 + 4.45592e6i −0.778756 + 0.976529i 0.221243 + 0.975219i \(0.428988\pi\)
−0.999999 + 0.00131020i \(0.999583\pi\)
\(462\) −499256. + 2.18738e6i −0.108822 + 0.476782i
\(463\) 283414. 136485.i 0.0614425 0.0295892i −0.402910 0.915240i \(-0.632001\pi\)
0.464353 + 0.885650i \(0.346287\pi\)
\(464\) −26962.2 + 118129.i −0.00581380 + 0.0254719i
\(465\) 824304. + 396964.i 0.176789 + 0.0851370i
\(466\) 260469. 0.0555637
\(467\) −5.47302e6 −1.16127 −0.580637 0.814163i \(-0.697196\pi\)
−0.580637 + 0.814163i \(0.697196\pi\)
\(468\) −15514.0 7471.16i −0.00327424 0.00157679i
\(469\) 1.57626e6 + 6.90606e6i 0.330900 + 1.44977i
\(470\) 290865. + 364733.i 0.0607360 + 0.0761606i
\(471\) 4.77558e6 5.98839e6i 0.991913 1.24382i
\(472\) 5.08262e6 1.05010
\(473\) 2.80432e6 405180.i 0.576335 0.0832714i
\(474\) −989656. −0.202320
\(475\) −196641. + 246580.i −0.0399890 + 0.0501447i
\(476\) −2.34313e6 2.93819e6i −0.474000 0.594377i
\(477\) 1.01288e6 + 4.43771e6i 0.203827 + 0.893024i
\(478\) −1.52849e6 736083.i −0.305980 0.147352i
\(479\) −6.52886e6 −1.30017 −0.650083 0.759864i \(-0.725266\pi\)
−0.650083 + 0.759864i \(0.725266\pi\)
\(480\) 5.75147e6 1.13940
\(481\) 14115.3 + 6797.57i 0.00278181 + 0.00133965i
\(482\) −1.28966e6 + 5.65035e6i −0.252846 + 1.10779i
\(483\) 5.30859e6 2.55648e6i 1.03541 0.498626i
\(484\) −477502. + 2.09207e6i −0.0926535 + 0.405942i
\(485\) 5.47440e6 6.86468e6i 1.05677 1.32515i
\(486\) −3.32827e6 1.60281e6i −0.639187 0.307816i
\(487\) 5.43630e6 6.81691e6i 1.03868 1.30246i 0.0867209 0.996233i \(-0.472361\pi\)
0.951958 0.306229i \(-0.0990674\pi\)
\(488\) −1.72614e6 7.56270e6i −0.328115 1.43756i
\(489\) 2.34943e6 1.13142e6i 0.444314 0.213970i
\(490\) −337678. + 162617.i −0.0635349 + 0.0305968i
\(491\) 2.61882e6 + 3.28389e6i 0.490231 + 0.614731i 0.963995 0.265921i \(-0.0856762\pi\)
−0.473763 + 0.880652i \(0.657105\pi\)
\(492\) −1.41096e6 6.18180e6i −0.262785 1.15134i
\(493\) −1.32020e6 + 5.78417e6i −0.244637 + 1.07182i
\(494\) 4638.66 + 5816.70i 0.000855215 + 0.00107241i
\(495\) 1.17733e6 + 1.47633e6i 0.215967 + 0.270814i
\(496\) −5701.14 + 24978.3i −0.00104054 + 0.00455889i
\(497\) −2.43801e6 1.06816e7i −0.442736 1.93975i
\(498\) 1.39959e6 + 1.75503e6i 0.252887 + 0.317111i
\(499\) 1.24343e6 598803.i 0.223547 0.107655i −0.318758 0.947836i \(-0.603266\pi\)
0.542305 + 0.840181i \(0.317552\pi\)
\(500\) 3.43037e6 1.65198e6i 0.613643 0.295515i
\(501\) −354445. 1.55293e6i −0.0630892 0.276412i
\(502\) −1.96468e6 + 2.46364e6i −0.347963 + 0.436332i
\(503\) 2.09129e6 + 1.00711e6i 0.368548 + 0.177483i 0.608986 0.793181i \(-0.291577\pi\)
−0.240438 + 0.970665i \(0.577291\pi\)
\(504\) 2.56097e6 3.21136e6i 0.449085 0.563135i
\(505\) −1.23249e6 + 5.39989e6i −0.215058 + 0.942229i
\(506\) 1.52983e6 736730.i 0.265625 0.127918i
\(507\) 1.67046e6 7.31877e6i 0.288613 1.26450i
\(508\) −593497. 285813.i −0.102037 0.0491386i
\(509\) −5.88112e6 −1.00616 −0.503079 0.864241i \(-0.667799\pi\)
−0.503079 + 0.864241i \(0.667799\pi\)
\(510\) 4.57896e6 0.779545
\(511\) 274960. + 132414.i 0.0465819 + 0.0224327i
\(512\) 71096.5 + 311494.i 0.0119860 + 0.0525140i
\(513\) −408375. 512087.i −0.0685119 0.0859112i
\(514\) 241338. 302628.i 0.0402919 0.0505245i
\(515\) −7.95950e6 −1.32241
\(516\) −4.71401e6 1.48567e6i −0.779411 0.245640i
\(517\) −650306. −0.107002
\(518\) −900599. + 1.12932e6i −0.147471 + 0.184923i
\(519\) −4.18404e6 5.24662e6i −0.681832 0.854991i
\(520\) −10020.9 43904.6i −0.00162517 0.00712035i
\(521\) 286102. + 137780.i 0.0461771 + 0.0222377i 0.456830 0.889554i \(-0.348985\pi\)
−0.410653 + 0.911792i \(0.634699\pi\)
\(522\) −2.50633e6 −0.402589
\(523\) −9.32969e6 −1.49146 −0.745732 0.666246i \(-0.767900\pi\)
−0.745732 + 0.666246i \(0.767900\pi\)
\(524\) 374855. + 180520.i 0.0596396 + 0.0287209i
\(525\) 466411. 2.04348e6i 0.0738534 0.323573i
\(526\) −236304. + 113798.i −0.0372398 + 0.0179337i
\(527\) −279155. + 1.22306e6i −0.0437844 + 0.191832i
\(528\) −81277.1 + 101918.i −0.0126877 + 0.0159099i
\(529\) 1.78139e6 + 857871.i 0.276770 + 0.133285i
\(530\) −2.86879e6 + 3.59735e6i −0.443618 + 0.556279i
\(531\) −1.04509e6 4.57886e6i −0.160849 0.704727i
\(532\) 1.05237e6 506794.i 0.161209 0.0776340i
\(533\) −72173.4 + 34756.9i −0.0110042 + 0.00529935i
\(534\) 4.64641e6 + 5.82642e6i 0.705123 + 0.884196i
\(535\) −445610. 1.95235e6i −0.0673086 0.294898i
\(536\) 2.05009e6 8.98202e6i 0.308220 1.35040i
\(537\) 5.57201e6 + 6.98708e6i 0.833828 + 1.04559i
\(538\) 697837. + 875060.i 0.103944 + 0.130341i
\(539\) 116257. 509356.i 0.0172364 0.0755178i
\(540\) 340985. + 1.49395e6i 0.0503212 + 0.220472i
\(541\) 3.21888e6 + 4.03635e6i 0.472837 + 0.592919i 0.959863 0.280468i \(-0.0904897\pi\)
−0.487026 + 0.873387i \(0.661918\pi\)
\(542\) 3.88843e6 1.87257e6i 0.568560 0.273804i
\(543\) 1.33865e7 6.44661e6i 1.94836 0.938279i
\(544\) 1.75488e6 + 7.68863e6i 0.254244 + 1.11391i
\(545\) −4.91904e6 + 6.16828e6i −0.709396 + 0.889555i
\(546\) −44547.7 21453.1i −0.00639505 0.00307970i
\(547\) 5.65820e6 7.09515e6i 0.808555 1.01390i −0.190923 0.981605i \(-0.561148\pi\)
0.999478 0.0322913i \(-0.0102804\pi\)
\(548\) 883891. 3.87258e6i 0.125732 0.550870i
\(549\) −6.45819e6 + 3.11010e6i −0.914492 + 0.440396i
\(550\) 134411. 588892.i 0.0189464 0.0830097i
\(551\) −1.66138e6 800080.i −0.233126 0.112268i
\(552\) −7.66326e6 −1.07045
\(553\) 1.96292e6 0.272954
\(554\) −3.63100e6 1.74860e6i −0.502634 0.242056i
\(555\) 666878. + 2.92178e6i 0.0918996 + 0.402639i
\(556\) −1.68915e6 2.11812e6i −0.231729 0.290579i
\(557\) 5.60345e6 7.02651e6i 0.765276 0.959625i −0.234647 0.972081i \(-0.575393\pi\)
0.999922 + 0.0124555i \(0.00396480\pi\)
\(558\) −529963. −0.0720543
\(559\) −5046.58 + 62238.0i −0.000683074 + 0.00842414i
\(560\) −185482. −0.0249938
\(561\) −3.97972e6 + 4.99041e6i −0.533882 + 0.669466i
\(562\) −2.44074e6 3.06059e6i −0.325973 0.408757i
\(563\) 2.13777e6 + 9.36618e6i 0.284243 + 1.24535i 0.892295 + 0.451453i \(0.149094\pi\)
−0.608052 + 0.793897i \(0.708049\pi\)
\(564\) 1.02204e6 + 492187.i 0.135291 + 0.0651527i
\(565\) −7.29397e6 −0.961265
\(566\) 8.10235e6 1.06309
\(567\) 8.93240e6 + 4.30162e6i 1.16684 + 0.561920i
\(568\) −3.17088e6 + 1.38925e7i −0.412391 + 1.80680i
\(569\) 5.47429e6 2.63628e6i 0.708838 0.341359i −0.0444838 0.999010i \(-0.514164\pi\)
0.753322 + 0.657651i \(0.228450\pi\)
\(570\) −316686. + 1.38749e6i −0.0408265 + 0.178872i
\(571\) −4.07451e6 + 5.10928e6i −0.522980 + 0.655796i −0.971239 0.238107i \(-0.923473\pi\)
0.448259 + 0.893904i \(0.352044\pi\)
\(572\) 21860.7 + 10527.5i 0.00279366 + 0.00134536i
\(573\) −7.89819e6 + 9.90401e6i −1.00494 + 1.26016i
\(574\) −1.64346e6 7.20048e6i −0.208200 0.912182i
\(575\) −1.42919e6 + 688262.i −0.180269 + 0.0868129i
\(576\) −2.86971e6 + 1.38198e6i −0.360398 + 0.173559i
\(577\) 4.89695e6 + 6.14059e6i 0.612331 + 0.767839i 0.987243 0.159221i \(-0.0508983\pi\)
−0.374911 + 0.927061i \(0.622327\pi\)
\(578\) 309996. + 1.35818e6i 0.0385955 + 0.169098i
\(579\) −323972. + 1.41942e6i −0.0401617 + 0.175960i
\(580\) 2.68982e6 + 3.37293e6i 0.332012 + 0.416330i
\(581\) −2.77600e6 3.48099e6i −0.341176 0.427822i
\(582\) −2.78998e6 + 1.22237e7i −0.341423 + 1.49587i
\(583\) −1.42724e6 6.25313e6i −0.173910 0.761950i
\(584\) −247476. 310325.i −0.0300263 0.0376517i
\(585\) −37492.4 + 18055.4i −0.00452954 + 0.00218131i
\(586\) 1.13162e6 544958.i 0.136131 0.0655570i
\(587\) −16503.2 72305.0i −0.00197684 0.00866110i 0.973930 0.226849i \(-0.0728425\pi\)
−0.975907 + 0.218188i \(0.929985\pi\)
\(588\) −568221. + 712527.i −0.0677757 + 0.0849881i
\(589\) −351298. 169176.i −0.0417242 0.0200933i
\(590\) 2.96003e6 3.71177e6i 0.350080 0.438986i
\(591\) −342058. + 1.49865e6i −0.0402838 + 0.176495i
\(592\) −75613.4 + 36413.5i −0.00886736 + 0.00427030i
\(593\) 1.97318e6 8.64508e6i 0.230426 1.00956i −0.718862 0.695153i \(-0.755337\pi\)
0.949288 0.314408i \(-0.101806\pi\)
\(594\) 1.13021e6 + 544278.i 0.131429 + 0.0632929i
\(595\) −9.08208e6 −1.05170
\(596\) 7.54295e6 0.869812
\(597\) −1.69890e7 8.18147e6i −1.95089 0.939497i
\(598\) 8326.63 + 36481.4i 0.000952174 + 0.00417175i
\(599\) −5.32613e6 6.67875e6i −0.606519 0.760551i 0.379859 0.925044i \(-0.375973\pi\)
−0.986378 + 0.164493i \(0.947401\pi\)
\(600\) −1.69970e6 + 2.13135e6i −0.192749 + 0.241700i
\(601\) 1.40091e7 1.58206 0.791032 0.611774i \(-0.209544\pi\)
0.791032 + 0.611774i \(0.209544\pi\)
\(602\) −5.49081e6 1.73049e6i −0.617512 0.194616i
\(603\) −8.51332e6 −0.953466
\(604\) −5.23662e6 + 6.56652e6i −0.584062 + 0.732391i
\(605\) 3.23335e6 + 4.05450e6i 0.359141 + 0.450348i
\(606\) −1.75997e6 7.71095e6i −0.194681 0.852955i
\(607\) 1.04618e7 + 5.03814e6i 1.15249 + 0.555008i 0.909779 0.415092i \(-0.136251\pi\)
0.242706 + 0.970100i \(0.421965\pi\)
\(608\) −2.45114e6 −0.268911
\(609\) 1.22550e7 1.33897
\(610\) −6.52821e6 3.14382e6i −0.710345 0.342084i
\(611\) 3188.98 13971.9i 0.000345581 0.00151409i
\(612\) 4.06927e6 1.95966e6i 0.439176 0.211496i
\(613\) 3.54366e6 1.55258e7i 0.380892 1.66880i −0.313801 0.949489i \(-0.601603\pi\)
0.694693 0.719306i \(-0.255540\pi\)
\(614\) 1.99292e6 2.49904e6i 0.213338 0.267518i
\(615\) −1.38061e7 6.64868e6i −1.47192 0.708839i
\(616\) −3.60864e6 + 4.52510e6i −0.383171 + 0.480481i
\(617\) 3.96536e6 + 1.73734e7i 0.419343 + 1.83726i 0.536172 + 0.844109i \(0.319870\pi\)
−0.116829 + 0.993152i \(0.537273\pi\)
\(618\) 1.02404e7 4.93153e6i 1.07857 0.519410i
\(619\) 6.72572e6 3.23893e6i 0.705524 0.339763i −0.0464814 0.998919i \(-0.514801\pi\)
0.752006 + 0.659157i \(0.229087\pi\)
\(620\) 568761. + 713204.i 0.0594225 + 0.0745134i
\(621\) −733054. 3.21172e6i −0.0762794 0.334202i
\(622\) −2.10685e6 + 9.23071e6i −0.218352 + 0.956663i
\(623\) −9.21588e6 1.15563e7i −0.951298 1.19289i
\(624\) −1791.15 2246.03i −0.000184149 0.000230916i
\(625\) 1.52512e6 6.68199e6i 0.156172 0.684236i
\(626\) −130420. 571406.i −0.0133017 0.0582786i
\(627\) −1.23693e6 1.55106e6i −0.125654 0.157565i
\(628\) 6.88065e6 3.31355e6i 0.696195 0.335270i
\(629\) −3.70239e6 + 1.78298e6i −0.373126 + 0.179688i
\(630\) −853742. 3.74049e6i −0.0856989 0.375471i
\(631\) −5.43217e6 + 6.81172e6i −0.543125 + 0.681057i −0.975339 0.220714i \(-0.929161\pi\)
0.432214 + 0.901771i \(0.357733\pi\)
\(632\) −2.30015e6 1.10770e6i −0.229068 0.110313i
\(633\) −7.42589e6 + 9.31177e6i −0.736612 + 0.923683i
\(634\) 8663.23 37956.1i 0.000855966 0.00375023i
\(635\) −1.43429e6 + 690719.i −0.141157 + 0.0679778i
\(636\) −2.48963e6 + 1.09078e7i −0.244058 + 1.06929i
\(637\) 10373.4 + 4995.58i 0.00101292 + 0.000487795i
\(638\) 3.53165e6 0.343499
\(639\) 1.31676e7 1.27572
\(640\) 5.30003e6 + 2.55236e6i 0.511479 + 0.246315i
\(641\) 3.96474e6 + 1.73707e7i 0.381127 + 1.66983i 0.693956 + 0.720017i \(0.255866\pi\)
−0.312829 + 0.949809i \(0.601277\pi\)
\(642\) 1.78294e6 + 2.23573e6i 0.170726 + 0.214083i
\(643\) −7.55402e6 + 9.47244e6i −0.720528 + 0.903513i −0.998368 0.0571143i \(-0.981810\pi\)
0.277840 + 0.960627i \(0.410381\pi\)
\(644\) 5.87480e6 0.558185
\(645\) −9.91004e6 + 6.66825e6i −0.937943 + 0.631121i
\(646\) −1.95144e6 −0.183982
\(647\) −8.57113e6 + 1.07479e7i −0.804965 + 1.00939i 0.194628 + 0.980877i \(0.437650\pi\)
−0.999593 + 0.0285174i \(0.990921\pi\)
\(648\) −8.03955e6 1.00813e7i −0.752132 0.943144i
\(649\) 1.47263e6 + 6.45202e6i 0.137241 + 0.601290i
\(650\) 11993.2 + 5775.64i 0.00111341 + 0.000536188i
\(651\) 2.59131e6 0.239644
\(652\) 2.60001e6 0.239528
\(653\) 6.20971e6 + 2.99044e6i 0.569886 + 0.274443i 0.696556 0.717502i \(-0.254715\pi\)
−0.126670 + 0.991945i \(0.540429\pi\)
\(654\) 2.50694e6 1.09836e7i 0.229192 1.00416i
\(655\) 905903. 436260.i 0.0825047 0.0397322i
\(656\) 95487.4 418358.i 0.00866337 0.0379567i
\(657\) −228681. + 286757.i −0.0206689 + 0.0259179i
\(658\) 1.19045e6 + 573293.i 0.107189 + 0.0516193i
\(659\) 2.22316e6 2.78775e6i 0.199414 0.250058i −0.672062 0.740495i \(-0.734591\pi\)
0.871477 + 0.490437i \(0.163163\pi\)
\(660\) 1.03281e6 + 4.52503e6i 0.0922910 + 0.404353i
\(661\) 1.60098e7 7.70993e6i 1.42522 0.686352i 0.447121 0.894474i \(-0.352449\pi\)
0.978103 + 0.208122i \(0.0667351\pi\)
\(662\) 1.07375e6 517090.i 0.0952264 0.0458586i
\(663\) −87703.3 109976.i −0.00774876 0.00971663i
\(664\) 1.28856e6 + 5.64555e6i 0.113419 + 0.496919i
\(665\) 628128. 2.75201e6i 0.0550800 0.241321i
\(666\) −1.08236e6 1.35724e6i −0.0945555 0.118569i
\(667\) −5.78262e6 7.25117e6i −0.503280 0.631093i
\(668\) 353405. 1.54837e6i 0.0306430 0.134256i
\(669\) −1.24493e6 5.45439e6i −0.107542 0.471173i
\(670\) −5.36551e6 6.72814e6i −0.461768 0.579039i
\(671\) 9.10018e6 4.38241e6i 0.780268 0.375757i
\(672\) 1.46768e7 7.06796e6i 1.25374 0.603769i
\(673\) −4.94179e6 2.16514e7i −0.420578 1.84267i −0.529076 0.848574i \(-0.677461\pi\)
0.108498 0.994097i \(-0.465396\pi\)
\(674\) 2.71256e6 3.40144e6i 0.230001 0.288412i
\(675\) −1.05585e6 508472.i −0.0891957 0.0429544i
\(676\) 4.66679e6 5.85197e6i 0.392782 0.492533i
\(677\) −2.77106e6 + 1.21408e7i −0.232367 + 1.01807i 0.715303 + 0.698814i \(0.246289\pi\)
−0.947670 + 0.319251i \(0.896569\pi\)
\(678\) 9.38419e6 4.51919e6i 0.784012 0.377560i
\(679\) 5.53375e6 2.42449e7i 0.460622 2.01812i
\(680\) 1.06424e7 + 5.12510e6i 0.882606 + 0.425041i
\(681\) −1.59134e7 −1.31491
\(682\) 746765. 0.0614785
\(683\) −1.65150e7 7.95321e6i −1.35465 0.652365i −0.391213 0.920300i \(-0.627944\pi\)
−0.963437 + 0.267935i \(0.913659\pi\)
\(684\) 312370. + 1.36858e6i 0.0255287 + 0.111849i
\(685\) −5.98517e6 7.50516e6i −0.487360 0.611130i
\(686\) 4.31378e6 5.40931e6i 0.349984 0.438865i
\(687\) −3.42365e6 −0.276756
\(688\) −243806. 229006.i −0.0196369 0.0184449i
\(689\) 141348. 0.0113433
\(690\) −4.46296e6 + 5.59637e6i −0.356862 + 0.447490i
\(691\) 3.94769e6 + 4.95024e6i 0.314520 + 0.394395i 0.913814 0.406134i \(-0.133123\pi\)
−0.599294 + 0.800529i \(0.704552\pi\)
\(692\) −1.48888e6 6.52323e6i −0.118194 0.517842i
\(693\) 4.81861e6 + 2.32052e6i 0.381143 + 0.183549i
\(694\) −3.54851e6 −0.279671
\(695\) −6.54722e6 −0.514156
\(696\) −1.43604e7 6.91560e6i −1.12368 0.541136i
\(697\) 4.67552e6 2.04848e7i 0.364543 1.59717i
\(698\) −41836.8 + 20147.5i −0.00325027 + 0.00156525i
\(699\) 340598. 1.49226e6i 0.0263663 0.115518i
\(700\) 1.30302e6 1.63393e6i 0.100509 0.126035i
\(701\) 3.02859e6 + 1.45849e6i 0.232780 + 0.112101i 0.546638 0.837369i \(-0.315907\pi\)
−0.313858 + 0.949470i \(0.601622\pi\)
\(702\) −17236.2 + 21613.5i −0.00132007 + 0.00165532i
\(703\) −284207. 1.24519e6i −0.0216894 0.0950273i
\(704\) 4.04369e6 1.94734e6i 0.307501 0.148084i
\(705\) 2.46994e6 1.18946e6i 0.187160 0.0901315i
\(706\) 1.24417e6 + 1.56014e6i 0.0939438 + 0.117802i
\(707\) 3.49080e6 + 1.52942e7i 0.262649 + 1.15074i
\(708\) 2.56882e6 1.12547e7i 0.192597 0.843825i
\(709\) 7.23843e6 + 9.07670e6i 0.540790 + 0.678129i 0.974878 0.222742i \(-0.0715006\pi\)
−0.434088 + 0.900871i \(0.642929\pi\)
\(710\) 8.29886e6 + 1.04064e7i 0.617835 + 0.774740i
\(711\) −524946. + 2.29994e6i −0.0389440 + 0.170625i
\(712\) 4.27782e6 + 1.87423e7i 0.316244 + 1.38555i
\(713\) −1.22273e6 1.53326e6i −0.0900756 0.112951i
\(714\) 1.16847e7 5.62706e6i 0.857773 0.413082i
\(715\) 52830.2 25441.7i 0.00386472 0.00186115i
\(716\) 1.98279e6 + 8.68717e6i 0.144542 + 0.633280i
\(717\) −6.21580e6 + 7.79437e6i −0.451543 + 0.566218i
\(718\) 3.61559e6 + 1.74118e6i 0.261739 + 0.126047i
\(719\) −7.00220e6 + 8.78048e6i −0.505141 + 0.633426i −0.967380 0.253329i \(-0.918475\pi\)
0.462240 + 0.886755i \(0.347046\pi\)
\(720\) 49603.6 217328.i 0.00356600 0.0156237i
\(721\) −2.03113e7 + 9.78139e6i −1.45512 + 0.700749i
\(722\) −1.76089e6 + 7.71495e6i −0.125715 + 0.550795i
\(723\) 3.06851e7 + 1.47772e7i 2.18314 + 1.05134i
\(724\) 1.48143e7 1.05035
\(725\) −3.29931e6 −0.233119
\(726\) −6.67200e6 3.21307e6i −0.469802 0.226245i
\(727\) −3.02442e6 1.32508e7i −0.212230 0.929838i −0.963048 0.269330i \(-0.913198\pi\)
0.750818 0.660509i \(-0.229659\pi\)
\(728\) −79525.8 99722.2i −0.00556134 0.00697370i
\(729\) −2.64978e6 + 3.32272e6i −0.184668 + 0.231566i
\(730\) −370752. −0.0257500
\(731\) −1.19379e7 1.12132e7i −0.826295 0.776136i
\(732\) −1.76189e7 −1.21535
\(733\) −1.31381e7 + 1.64747e7i −0.903180 + 1.13255i 0.0874760 + 0.996167i \(0.472120\pi\)
−0.990656 + 0.136385i \(0.956452\pi\)
\(734\) −3.45337e6 4.33039e6i −0.236594 0.296679i
\(735\) 490093. + 2.14724e6i 0.0334626 + 0.146609i
\(736\) −1.11074e7 5.34905e6i −0.755820 0.363984i
\(737\) 1.19960e7 0.813521
\(738\) 8.87625e6 0.599914
\(739\) −1.05155e7 5.06401e6i −0.708304 0.341101i 0.0448063 0.998996i \(-0.485733\pi\)
−0.753110 + 0.657895i \(0.771447\pi\)
\(740\) −664920. + 2.91321e6i −0.0446365 + 0.195565i
\(741\) 39390.2 18969.3i 0.00263537 0.00126913i
\(742\) −2.89989e6 + 1.27053e7i −0.193362 + 0.847176i
\(743\) 9.33600e6 1.17070e7i 0.620424 0.777987i −0.367980 0.929834i \(-0.619951\pi\)
0.988404 + 0.151846i \(0.0485219\pi\)
\(744\) −3.03650e6 1.46230e6i −0.201113 0.0968509i
\(745\) 1.13655e7 1.42519e7i 0.750238 0.940768i
\(746\) 3.14340e6 + 1.37722e7i 0.206801 + 0.906056i
\(747\) 4.82104e6 2.32169e6i 0.316110 0.152231i
\(748\) −5.73397e6 + 2.76134e6i −0.374716 + 0.180454i
\(749\) −3.53635e6 4.43444e6i −0.230330 0.288825i
\(750\) 2.92378e6 + 1.28099e7i 0.189798 + 0.831558i
\(751\) −781987. + 3.42611e6i −0.0505941 + 0.221667i −0.993904 0.110245i \(-0.964837\pi\)
0.943310 + 0.331912i \(0.107694\pi\)
\(752\) 47865.1 + 60021.0i 0.00308656 + 0.00387042i
\(753\) 1.15454e7 + 1.44774e7i 0.742027 + 0.930473i
\(754\) −17318.6 + 75877.6i −0.00110939 + 0.00486055i
\(755\) 4.51660e6 + 1.97885e7i 0.288366 + 1.26342i
\(756\) 2.70605e6 + 3.39328e6i 0.172199 + 0.215931i
\(757\) −2.19111e6 + 1.05518e6i −0.138971 + 0.0669250i −0.502077 0.864823i \(-0.667431\pi\)
0.363106 + 0.931748i \(0.381716\pi\)
\(758\) −4.67593e6 + 2.25181e6i −0.295594 + 0.142350i