Properties

Label 43.7.f.a.2.12
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0322332 - 0.0669329i) q^{2} +(-17.7426 + 36.8430i) q^{3} +(39.8999 - 50.0329i) q^{4} +(157.975 + 36.0568i) q^{5} +3.03791 q^{6} -203.317i q^{7} +(-9.27029 - 2.11588i) q^{8} +(-588.078 - 737.427i) q^{9} +O(q^{10})\) \(q+(-0.0322332 - 0.0669329i) q^{2} +(-17.7426 + 36.8430i) q^{3} +(39.8999 - 50.0329i) q^{4} +(157.975 + 36.0568i) q^{5} +3.03791 q^{6} -203.317i q^{7} +(-9.27029 - 2.11588i) q^{8} +(-588.078 - 737.427i) q^{9} +(-2.67865 - 11.7360i) q^{10} +(1391.85 + 1745.33i) q^{11} +(1135.43 + 2357.75i) q^{12} +(-91.2481 + 399.784i) q^{13} +(-13.6086 + 6.55355i) q^{14} +(-4131.33 + 5180.53i) q^{15} +(-911.210 - 3992.27i) q^{16} +(2061.63 + 9032.59i) q^{17} +(-30.4025 + 63.1314i) q^{18} +(905.668 + 722.246i) q^{19} +(8107.22 - 6465.29i) q^{20} +(7490.80 + 3607.38i) q^{21} +(71.9560 - 149.418i) q^{22} +(-8856.37 - 11105.5i) q^{23} +(242.435 - 304.004i) q^{24} +(9578.39 + 4612.71i) q^{25} +(29.6999 - 6.77881i) q^{26} +(8539.74 - 1949.14i) q^{27} +(-10172.5 - 8112.33i) q^{28} +(16451.0 + 34160.8i) q^{29} +(479.913 + 109.537i) q^{30} +(6780.13 - 3265.14i) q^{31} +(-713.632 + 569.102i) q^{32} +(-88998.1 + 20313.2i) q^{33} +(538.124 - 429.140i) q^{34} +(7330.96 - 32119.0i) q^{35} -60359.8 q^{36} -39555.7i q^{37} +(19.1495 - 83.8993i) q^{38} +(-13110.2 - 10455.1i) q^{39} +(-1388.18 - 668.514i) q^{40} +(98988.1 - 47670.1i) q^{41} -617.658i q^{42} +(-8976.81 - 78998.6i) q^{43} +142859. q^{44} +(-66312.4 - 137699. i) q^{45} +(-457.857 + 950.749i) q^{46} +(-86015.0 + 107859. i) q^{47} +(163254. + 37261.7i) q^{48} +76311.2 q^{49} -789.792i q^{50} +(-369366. - 84305.4i) q^{51} +(16361.6 + 20516.8i) q^{52} +(-44865.5 - 196568. i) q^{53} +(-405.724 - 508.762i) q^{54} +(156947. + 325904. i) q^{55} +(-430.195 + 1884.81i) q^{56} +(-42678.6 + 20552.9i) q^{57} +(1756.21 - 2202.22i) q^{58} +(3476.38 + 15231.0i) q^{59} +(94357.0 + 413405. i) q^{60} +(-38331.6 + 79596.4i) q^{61} +(-437.091 - 348.568i) q^{62} +(-149931. + 119566. i) q^{63} +(-236061. - 113681. i) q^{64} +(-28829.9 + 59865.8i) q^{65} +(4228.32 + 5302.14i) q^{66} +(39972.9 - 50124.4i) q^{67} +(534185. + 257250. i) q^{68} +(566296. - 129253. i) q^{69} +(-2386.12 + 544.616i) q^{70} +(-160206. - 127760. i) q^{71} +(3891.35 + 8080.47i) q^{72} +(46444.1 + 10600.6i) q^{73} +(-2647.58 + 1275.01i) q^{74} +(-339892. + 271055. i) q^{75} +(72272.2 - 16495.7i) q^{76} +(354855. - 282987. i) q^{77} +(-277.203 + 1214.51i) q^{78} +1367.76 q^{79} -663535. i q^{80} +(73299.1 - 321144. i) q^{81} +(-6381.40 - 5089.00i) q^{82} +(-247910. - 119387. i) q^{83} +(479370. - 230852. i) q^{84} +1.50126e6i q^{85} +(-4998.25 + 3147.22i) q^{86} -1.55047e6 q^{87} +(-9209.97 - 19124.7i) q^{88} +(83533.3 - 173459. i) q^{89} +(-7079.14 + 8876.97i) q^{90} +(81282.9 + 18552.3i) q^{91} -909011. q^{92} +307732. i q^{93} +(9991.88 + 2280.58i) q^{94} +(117031. + 146752. i) q^{95} +(-8305.70 - 36389.7i) q^{96} +(211574. + 265306. i) q^{97} +(-2459.75 - 5107.73i) q^{98} +(468533. - 2.05278e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0322332 0.0669329i −0.00402915 0.00836661i 0.898945 0.438062i \(-0.144335\pi\)
−0.902974 + 0.429696i \(0.858621\pi\)
\(3\) −17.7426 + 36.8430i −0.657134 + 1.36455i 0.259857 + 0.965647i \(0.416325\pi\)
−0.916992 + 0.398907i \(0.869390\pi\)
\(4\) 39.8999 50.0329i 0.623436 0.781764i
\(5\) 157.975 + 36.0568i 1.26380 + 0.288454i 0.801353 0.598192i \(-0.204114\pi\)
0.462448 + 0.886646i \(0.346971\pi\)
\(6\) 3.03791 0.0140644
\(7\) 203.317i 0.592761i −0.955070 0.296380i \(-0.904220\pi\)
0.955070 0.296380i \(-0.0957796\pi\)
\(8\) −9.27029 2.11588i −0.0181060 0.00413259i
\(9\) −588.078 737.427i −0.806691 1.01156i
\(10\) −2.67865 11.7360i −0.00267865 0.0117360i
\(11\) 1391.85 + 1745.33i 1.04572 + 1.31129i 0.948758 + 0.316002i \(0.102341\pi\)
0.0969608 + 0.995288i \(0.469088\pi\)
\(12\) 1135.43 + 2357.75i 0.657078 + 1.36444i
\(13\) −91.2481 + 399.784i −0.0415331 + 0.181968i −0.991440 0.130566i \(-0.958321\pi\)
0.949907 + 0.312534i \(0.101178\pi\)
\(14\) −13.6086 + 6.55355i −0.00495940 + 0.00238832i
\(15\) −4131.33 + 5180.53i −1.22410 + 1.53497i
\(16\) −911.210 3992.27i −0.222463 0.974676i
\(17\) 2061.63 + 9032.59i 0.419627 + 1.83851i 0.534555 + 0.845134i \(0.320479\pi\)
−0.114928 + 0.993374i \(0.536664\pi\)
\(18\) −30.4025 + 63.1314i −0.00521304 + 0.0108250i
\(19\) 905.668 + 722.246i 0.132041 + 0.105299i 0.687283 0.726389i \(-0.258803\pi\)
−0.555242 + 0.831689i \(0.687375\pi\)
\(20\) 8107.22 6465.29i 1.01340 0.808161i
\(21\) 7490.80 + 3607.38i 0.808854 + 0.389524i
\(22\) 71.9560 149.418i 0.00675770 0.0140325i
\(23\) −8856.37 11105.5i −0.727901 0.912759i 0.270855 0.962620i \(-0.412694\pi\)
−0.998756 + 0.0498611i \(0.984122\pi\)
\(24\) 242.435 304.004i 0.0175372 0.0219910i
\(25\) 9578.39 + 4612.71i 0.613017 + 0.295213i
\(26\) 29.6999 6.77881i 0.00168980 0.000385686i
\(27\) 8539.74 1949.14i 0.433864 0.0990266i
\(28\) −10172.5 8112.33i −0.463399 0.369549i
\(29\) 16451.0 + 34160.8i 0.674524 + 1.40066i 0.904078 + 0.427368i \(0.140559\pi\)
−0.229553 + 0.973296i \(0.573727\pi\)
\(30\) 479.913 + 109.537i 0.0177746 + 0.00405693i
\(31\) 6780.13 3265.14i 0.227590 0.109602i −0.316614 0.948554i \(-0.602546\pi\)
0.544204 + 0.838953i \(0.316832\pi\)
\(32\) −713.632 + 569.102i −0.0217783 + 0.0173676i
\(33\) −88998.1 + 20313.2i −2.47650 + 0.565246i
\(34\) 538.124 429.140i 0.0136913 0.0109185i
\(35\) 7330.96 32119.0i 0.170984 0.749132i
\(36\) −60359.8 −1.29372
\(37\) 39555.7i 0.780915i −0.920621 0.390458i \(-0.872317\pi\)
0.920621 0.390458i \(-0.127683\pi\)
\(38\) 19.1495 83.8993i 0.000348984 0.00152900i
\(39\) −13110.2 10455.1i −0.221013 0.176252i
\(40\) −1388.18 668.514i −0.0216904 0.0104455i
\(41\) 98988.1 47670.1i 1.43625 0.691663i 0.456105 0.889926i \(-0.349244\pi\)
0.980149 + 0.198262i \(0.0635298\pi\)
\(42\) 617.658i 0.00833682i
\(43\) −8976.81 78998.6i −0.112906 0.993606i
\(44\) 142859. 1.67706
\(45\) −66312.4 137699.i −0.727709 1.51110i
\(46\) −457.857 + 950.749i −0.00470388 + 0.00976770i
\(47\) −86015.0 + 107859.i −0.828477 + 1.03888i 0.170093 + 0.985428i \(0.445593\pi\)
−0.998571 + 0.0534497i \(0.982978\pi\)
\(48\) 163254. + 37261.7i 1.47619 + 0.336930i
\(49\) 76311.2 0.648634
\(50\) 789.792i 0.00631833i
\(51\) −369366. 84305.4i −2.78449 0.635543i
\(52\) 16361.6 + 20516.8i 0.116363 + 0.145915i
\(53\) −44865.5 196568.i −0.301359 1.32034i −0.868077 0.496429i \(-0.834644\pi\)
0.566718 0.823912i \(-0.308213\pi\)
\(54\) −405.724 508.762i −0.00257662 0.00323098i
\(55\) 156947. + 325904.i 0.943333 + 1.95885i
\(56\) −430.195 + 1884.81i −0.00244964 + 0.0107326i
\(57\) −42678.6 + 20552.9i −0.230455 + 0.110981i
\(58\) 1756.21 2202.22i 0.00900105 0.0112870i
\(59\) 3476.38 + 15231.0i 0.0169267 + 0.0741605i 0.982686 0.185280i \(-0.0593191\pi\)
−0.965759 + 0.259440i \(0.916462\pi\)
\(60\) 94357.0 + 413405.i 0.436838 + 1.91391i
\(61\) −38331.6 + 79596.4i −0.168876 + 0.350674i −0.968181 0.250251i \(-0.919487\pi\)
0.799305 + 0.600925i \(0.205201\pi\)
\(62\) −437.091 348.568i −0.00183399 0.00146256i
\(63\) −149931. + 119566.i −0.599613 + 0.478175i
\(64\) −236061. 113681.i −0.900503 0.433659i
\(65\) −28829.9 + 59865.8i −0.104979 + 0.217991i
\(66\) 4228.32 + 5302.14i 0.0147074 + 0.0184425i
\(67\) 39972.9 50124.4i 0.132905 0.166657i −0.710926 0.703267i \(-0.751724\pi\)
0.843831 + 0.536610i \(0.180295\pi\)
\(68\) 534185. + 257250.i 1.69889 + 0.818142i
\(69\) 566296. 129253.i 1.72384 0.393455i
\(70\) −2386.12 + 544.616i −0.00695661 + 0.00158780i
\(71\) −160206. 127760.i −0.447615 0.356961i 0.373590 0.927594i \(-0.378127\pi\)
−0.821205 + 0.570633i \(0.806698\pi\)
\(72\) 3891.35 + 8080.47i 0.0104256 + 0.0216491i
\(73\) 46444.1 + 10600.6i 0.119388 + 0.0272496i 0.281798 0.959474i \(-0.409069\pi\)
−0.162409 + 0.986723i \(0.551926\pi\)
\(74\) −2647.58 + 1275.01i −0.00653361 + 0.00314642i
\(75\) −339892. + 271055.i −0.805669 + 0.642500i
\(76\) 72272.2 16495.7i 0.164638 0.0375776i
\(77\) 354855. 282987.i 0.777282 0.619862i
\(78\) −277.203 + 1214.51i −0.000584137 + 0.00255927i
\(79\) 1367.76 0.00277414 0.00138707 0.999999i \(-0.499558\pi\)
0.00138707 + 0.999999i \(0.499558\pi\)
\(80\) 663535.i 1.29597i
\(81\) 73299.1 321144.i 0.137925 0.604289i
\(82\) −6381.40 5089.00i −0.0115738 0.00922976i
\(83\) −247910. 119387.i −0.433571 0.208797i 0.204351 0.978898i \(-0.434491\pi\)
−0.637922 + 0.770101i \(0.720206\pi\)
\(84\) 479370. 230852.i 0.808784 0.389490i
\(85\) 1.50126e6i 2.44455i
\(86\) −4998.25 + 3147.22i −0.00785820 + 0.00494802i
\(87\) −1.55047e6 −2.35454
\(88\) −9209.97 19124.7i −0.0135148 0.0280638i
\(89\) 83533.3 173459.i 0.118492 0.246051i −0.833284 0.552845i \(-0.813542\pi\)
0.951776 + 0.306794i \(0.0992563\pi\)
\(90\) −7079.14 + 8876.97i −0.00971076 + 0.0121769i
\(91\) 81282.9 + 18552.3i 0.107864 + 0.0246192i
\(92\) −909011. −1.16736
\(93\) 307732.i 0.382582i
\(94\) 9991.88 + 2280.58i 0.0120299 + 0.00274576i
\(95\) 117031. + 146752.i 0.136499 + 0.171165i
\(96\) −8305.70 36389.7i −0.00938778 0.0411305i
\(97\) 211574. + 265306.i 0.231818 + 0.290691i 0.884112 0.467276i \(-0.154764\pi\)
−0.652293 + 0.757967i \(0.726193\pi\)
\(98\) −2459.75 5107.73i −0.00261344 0.00542687i
\(99\) 468533. 2.05278e6i 0.482875 2.11561i
\(100\) 612964. 295188.i 0.612964 0.295188i
\(101\) −107348. + 134610.i −0.104191 + 0.130651i −0.831193 0.555984i \(-0.812342\pi\)
0.727002 + 0.686635i \(0.240913\pi\)
\(102\) 6263.04 + 27440.2i 0.00590180 + 0.0258575i
\(103\) −249459. 1.09295e6i −0.228291 1.00021i −0.951033 0.309089i \(-0.899976\pi\)
0.722742 0.691118i \(-0.242881\pi\)
\(104\) 1691.79 3513.05i 0.00150400 0.00312309i
\(105\) 1.05329e6 + 839970.i 0.909871 + 0.725598i
\(106\) −11710.7 + 9339.00i −0.00983256 + 0.00784120i
\(107\) −1.79199e6 862978.i −1.46280 0.704447i −0.478035 0.878341i \(-0.658651\pi\)
−0.984764 + 0.173894i \(0.944365\pi\)
\(108\) 243214. 505038.i 0.193071 0.400916i
\(109\) −1.22138e6 1.53156e6i −0.943130 1.18265i −0.983030 0.183443i \(-0.941276\pi\)
0.0399007 0.999204i \(-0.487296\pi\)
\(110\) 16754.8 21009.8i 0.0125881 0.0157850i
\(111\) 1.45735e6 + 701822.i 1.06560 + 0.513166i
\(112\) −811697. + 185264.i −0.577750 + 0.131868i
\(113\) −899272. + 205253.i −0.623241 + 0.142251i −0.522468 0.852659i \(-0.674989\pi\)
−0.100773 + 0.994909i \(0.532131\pi\)
\(114\) 2751.34 + 2194.12i 0.00185707 + 0.00148097i
\(115\) −998656. 2.07373e6i −0.656632 1.36351i
\(116\) 2.36556e6 + 539923.i 1.51551 + 0.345906i
\(117\) 348473. 167816.i 0.217576 0.104779i
\(118\) 907.401 723.628i 0.000552272 0.000440422i
\(119\) 1.83648e6 419164.i 1.08980 0.248739i
\(120\) 49260.0 39283.6i 0.0285070 0.0227335i
\(121\) −714706. + 3.13133e6i −0.403433 + 1.76756i
\(122\) 6563.17 0.00361438
\(123\) 4.49281e6i 2.41436i
\(124\) 107162. 469509.i 0.0562052 0.246251i
\(125\) −632644. 504517.i −0.323914 0.258313i
\(126\) 12835.7 + 6181.34i 0.00641663 + 0.00309009i
\(127\) −200830. + 96714.5i −0.0980430 + 0.0472150i −0.482263 0.876027i \(-0.660185\pi\)
0.384220 + 0.923242i \(0.374471\pi\)
\(128\) 77881.8i 0.0371369i
\(129\) 3.06981e6 + 1.07091e6i 1.43002 + 0.498866i
\(130\) 4936.27 0.00224682
\(131\) −1.28763e6 2.67378e6i −0.572765 1.18936i −0.963215 0.268734i \(-0.913395\pi\)
0.390450 0.920624i \(-0.372319\pi\)
\(132\) −2.53469e6 + 5.26333e6i −1.10205 + 2.28844i
\(133\) 146845. 184138.i 0.0624172 0.0782687i
\(134\) −4643.42 1059.83i −0.00192985 0.000440476i
\(135\) 1.41935e6 0.576882
\(136\) 88096.9i 0.0350222i
\(137\) 2.66435e6 + 608121.i 1.03617 + 0.236498i 0.706585 0.707628i \(-0.250235\pi\)
0.329582 + 0.944127i \(0.393092\pi\)
\(138\) −26904.8 33737.6i −0.0102375 0.0128374i
\(139\) 184232. + 807173.i 0.0685994 + 0.300554i 0.997576 0.0695847i \(-0.0221674\pi\)
−0.928977 + 0.370138i \(0.879310\pi\)
\(140\) −1.31450e6 1.64833e6i −0.479046 0.600705i
\(141\) −2.44773e6 5.08276e6i −0.873183 1.81318i
\(142\) −3387.40 + 14841.2i −0.00118305 + 0.00518327i
\(143\) −824758. + 397183.i −0.282045 + 0.135826i
\(144\) −2.40814e6 + 3.01972e6i −0.806483 + 1.01130i
\(145\) 1.36712e6 + 5.98972e6i 0.448437 + 1.96473i
\(146\) −787.515 3450.33i −0.000253046 0.00110867i
\(147\) −1.35396e6 + 2.81153e6i −0.426240 + 0.885097i
\(148\) −1.97909e6 1.57827e6i −0.610491 0.486851i
\(149\) 4.63519e6 3.69644e6i 1.40123 1.11744i 0.423901 0.905709i \(-0.360660\pi\)
0.977327 0.211734i \(-0.0679110\pi\)
\(150\) 29098.3 + 14013.0i 0.00862170 + 0.00415199i
\(151\) −531524. + 1.10372e6i −0.154380 + 0.320574i −0.963786 0.266675i \(-0.914075\pi\)
0.809406 + 0.587249i \(0.199789\pi\)
\(152\) −6867.62 8611.73i −0.00195558 0.00245222i
\(153\) 5.44847e6 6.83217e6i 1.52125 1.90759i
\(154\) −30379.2 14629.9i −0.00831792 0.00400570i
\(155\) 1.18882e6 271341.i 0.319243 0.0728652i
\(156\) −1.04620e6 + 238787.i −0.275574 + 0.0628981i
\(157\) 2.12495e6 + 1.69459e6i 0.549098 + 0.437891i 0.858332 0.513095i \(-0.171501\pi\)
−0.309234 + 0.950986i \(0.600072\pi\)
\(158\) −44.0873 91.5482i −1.11774e−5 2.32102e-5i
\(159\) 8.03819e6 + 1.83466e6i 1.99971 + 0.456421i
\(160\) −133256. + 64172.7i −0.0325332 + 0.0156672i
\(161\) −2.25794e6 + 1.80065e6i −0.541048 + 0.431471i
\(162\) −23857.8 + 5445.38i −0.00561157 + 0.00128081i
\(163\) −3.57879e6 + 2.85399e6i −0.826369 + 0.659007i −0.942492 0.334228i \(-0.891525\pi\)
0.116124 + 0.993235i \(0.462953\pi\)
\(164\) 1.56454e6 6.85469e6i 0.354695 1.55402i
\(165\) −1.47919e7 −3.29286
\(166\) 20441.6i 0.00446879i
\(167\) 506967. 2.22117e6i 0.108851 0.476905i −0.890892 0.454215i \(-0.849920\pi\)
0.999743 0.0226902i \(-0.00722315\pi\)
\(168\) −61809.1 49291.1i −0.0130354 0.0103954i
\(169\) 4.19730e6 + 2.02131e6i 0.869581 + 0.418768i
\(170\) 100484. 48390.4i 0.0204526 0.00984945i
\(171\) 1.09260e6i 0.218511i
\(172\) −4.31070e6 2.70290e6i −0.847155 0.531184i
\(173\) 4.18906e6 0.809055 0.404528 0.914526i \(-0.367436\pi\)
0.404528 + 0.914526i \(0.367436\pi\)
\(174\) 49976.5 + 103777.i 0.00948677 + 0.0196995i
\(175\) 937842. 1.94745e6i 0.174991 0.363373i
\(176\) 5.69955e6 7.14701e6i 1.04545 1.31095i
\(177\) −622836. 142158.i −0.112319 0.0256361i
\(178\) −14302.6 −0.00253604
\(179\) 2.25740e6i 0.393594i 0.980444 + 0.196797i \(0.0630541\pi\)
−0.980444 + 0.196797i \(0.936946\pi\)
\(180\) −9.53535e6 2.17638e6i −1.63501 0.373179i
\(181\) −3.56034e6 4.46452e6i −0.600420 0.752903i 0.385023 0.922907i \(-0.374193\pi\)
−0.985443 + 0.170004i \(0.945622\pi\)
\(182\) −1378.25 6038.50i −0.000228620 0.00100165i
\(183\) −2.25246e6 2.82450e6i −0.367540 0.460880i
\(184\) 58603.1 + 121691.i 0.00940735 + 0.0195346i
\(185\) 1.42625e6 6.24881e6i 0.225258 0.986921i
\(186\) 20597.4 9919.19i 0.00320091 0.00154148i
\(187\) −1.28953e7 + 1.61702e7i −1.97200 + 2.47282i
\(188\) 1.96453e6 + 8.60716e6i 0.295655 + 1.29535i
\(189\) −396293. 1.73627e6i −0.0586991 0.257177i
\(190\) 6050.28 12563.5i 0.000882093 0.00183169i
\(191\) 3.68371e6 + 2.93766e6i 0.528670 + 0.421600i 0.851108 0.524990i \(-0.175931\pi\)
−0.322438 + 0.946591i \(0.604502\pi\)
\(192\) 8.37670e6 6.68020e6i 1.18350 0.943812i
\(193\) −6.90178e6 3.32372e6i −0.960040 0.462331i −0.112845 0.993613i \(-0.535996\pi\)
−0.847195 + 0.531282i \(0.821711\pi\)
\(194\) 10938.0 22712.9i 0.00149807 0.00311077i
\(195\) −1.69412e6 2.12435e6i −0.228475 0.286499i
\(196\) 3.04481e6 3.81807e6i 0.404382 0.507079i
\(197\) −78654.8 37878.2i −0.0102879 0.00495439i 0.428733 0.903431i \(-0.358960\pi\)
−0.439021 + 0.898477i \(0.644674\pi\)
\(198\) −152501. + 34807.3i −0.0196461 + 0.00448409i
\(199\) 9.67973e6 2.20933e6i 1.22830 0.280351i 0.441330 0.897345i \(-0.354507\pi\)
0.786968 + 0.616994i \(0.211650\pi\)
\(200\) −79034.5 63027.9i −0.00987932 0.00787849i
\(201\) 1.13751e6 + 2.36206e6i 0.140077 + 0.290872i
\(202\) 12470.0 + 2846.20i 0.00151291 + 0.000345312i
\(203\) 6.94547e6 3.34476e6i 0.830259 0.399832i
\(204\) −1.89557e7 + 1.51167e7i −2.23280 + 1.78060i
\(205\) 1.73565e7 3.96150e6i 2.01465 0.459831i
\(206\) −65113.6 + 51926.4i −0.00744853 + 0.00594000i
\(207\) −2.98128e6 + 1.30618e7i −0.336118 + 1.47263i
\(208\) 1.67919e6 0.186600
\(209\) 2.58595e6i 0.283257i
\(210\) 22270.8 97574.6i 0.00240479 0.0105361i
\(211\) 5.18084e6 + 4.13159e6i 0.551510 + 0.439814i 0.859176 0.511680i \(-0.170977\pi\)
−0.307666 + 0.951494i \(0.599548\pi\)
\(212\) −1.16250e7 5.59831e6i −1.22007 0.587556i
\(213\) 7.54954e6 3.63567e6i 0.781235 0.376223i
\(214\) 147760.i 0.0150770i
\(215\) 1.43032e6 1.28035e7i 0.143919 1.28829i
\(216\) −83290.0 −0.00826479
\(217\) −663859. 1.37852e6i −0.0649675 0.134906i
\(218\) −63142.9 + 131118.i −0.00609474 + 0.0126559i
\(219\) −1.21460e6 + 1.52306e6i −0.115638 + 0.145005i
\(220\) 2.25681e7 + 5.15102e6i 2.11947 + 0.483755i
\(221\) −3.79921e6 −0.351978
\(222\) 120166.i 0.0109831i
\(223\) 810890. + 185080.i 0.0731219 + 0.0166896i 0.258925 0.965897i \(-0.416632\pi\)
−0.185803 + 0.982587i \(0.559489\pi\)
\(224\) 115708. + 145093.i 0.0102948 + 0.0129093i
\(225\) −2.23131e6 9.77599e6i −0.195890 0.858249i
\(226\) 42724.6 + 53574.9i 0.00370128 + 0.00464126i
\(227\) −6.79132e6 1.41023e7i −0.580599 1.20563i −0.959897 0.280352i \(-0.909549\pi\)
0.379298 0.925275i \(-0.376166\pi\)
\(228\) −674550. + 2.95540e6i −0.0569127 + 0.249351i
\(229\) −8.96446e6 + 4.31706e6i −0.746479 + 0.359485i −0.768142 0.640280i \(-0.778818\pi\)
0.0216625 + 0.999765i \(0.493104\pi\)
\(230\) −106611. + 133686.i −0.00876230 + 0.0109876i
\(231\) 4.13003e6 + 1.80948e7i 0.335056 + 1.46798i
\(232\) −80225.1 351489.i −0.00642460 0.0281480i
\(233\) −6.49889e6 + 1.34951e7i −0.513773 + 1.06686i 0.469197 + 0.883094i \(0.344544\pi\)
−0.982970 + 0.183767i \(0.941171\pi\)
\(234\) −22464.8 17915.0i −0.00175329 0.00139820i
\(235\) −1.74773e7 + 1.39377e7i −1.34670 + 1.07396i
\(236\) 900759. + 433783.i 0.0685287 + 0.0330017i
\(237\) −24267.7 + 50392.4i −0.00182299 + 0.00378547i
\(238\) −87251.4 109410.i −0.00647205 0.00811569i
\(239\) −8.50768e6 + 1.06683e7i −0.623186 + 0.781450i −0.988789 0.149321i \(-0.952291\pi\)
0.365603 + 0.930771i \(0.380863\pi\)
\(240\) 2.44466e7 + 1.17729e7i 1.76842 + 0.851624i
\(241\) 2.05474e6 468981.i 0.146793 0.0335046i −0.148493 0.988913i \(-0.547442\pi\)
0.295286 + 0.955409i \(0.404585\pi\)
\(242\) 232626. 53095.4i 0.0164139 0.00374637i
\(243\) 1.55238e7 + 1.23798e7i 1.08188 + 0.862772i
\(244\) 2.45301e6 + 5.09373e6i 0.168861 + 0.350644i
\(245\) 1.20553e7 + 2.75154e6i 0.819745 + 0.187101i
\(246\) 300716. 144817.i 0.0202000 0.00972782i
\(247\) −371383. + 296168.i −0.0246452 + 0.0196539i
\(248\) −69762.5 + 15922.8i −0.00457369 + 0.00104392i
\(249\) 8.79715e6 7.01549e6i 0.569828 0.454423i
\(250\) −13376.6 + 58606.9i −0.000856104 + 0.00375084i
\(251\) −1.47709e7 −0.934085 −0.467043 0.884235i \(-0.654681\pi\)
−0.467043 + 0.884235i \(0.654681\pi\)
\(252\) 1.22722e7i 0.766867i
\(253\) 7.05604e6 3.09145e7i 0.435712 1.90898i
\(254\) 12946.8 + 10324.7i 0.000790059 + 0.000630051i
\(255\) −5.53108e7 2.66363e7i −3.33572 1.60640i
\(256\) −1.51027e7 + 7.27308e6i −0.900192 + 0.433510i
\(257\) 3.14440e7i 1.85241i 0.377015 + 0.926207i \(0.376950\pi\)
−0.377015 + 0.926207i \(0.623050\pi\)
\(258\) −27270.7 239990.i −0.00158795 0.0139744i
\(259\) −8.04234e6 −0.462896
\(260\) 1.84495e6 + 3.83108e6i 0.104970 + 0.217972i
\(261\) 1.55166e7 3.22206e7i 0.872722 1.81223i
\(262\) −137460. + 172369.i −0.00764314 + 0.00958419i
\(263\) 1.88487e7 + 4.30210e6i 1.03613 + 0.236490i 0.706570 0.707644i \(-0.250242\pi\)
0.329562 + 0.944134i \(0.393099\pi\)
\(264\) 868019. 0.0471756
\(265\) 3.26706e7i 1.75558i
\(266\) −17058.2 3893.41i −0.000906332 0.000206864i
\(267\) 4.90863e6 + 6.15523e6i 0.257885 + 0.323378i
\(268\) −912955. 3.99992e6i −0.0474291 0.207801i
\(269\) −1.71746e7 2.15363e7i −0.882328 1.10640i −0.993638 0.112619i \(-0.964076\pi\)
0.111310 0.993786i \(-0.464495\pi\)
\(270\) −45750.0 95000.9i −0.00232434 0.00482655i
\(271\) 7.97351e6 3.49342e7i 0.400628 1.75527i −0.224236 0.974535i \(-0.571989\pi\)
0.624865 0.780733i \(-0.285154\pi\)
\(272\) 3.41820e7 1.64612e7i 1.69860 0.818001i
\(273\) −2.12569e6 + 2.66554e6i −0.104475 + 0.131008i
\(274\) −45177.2 197934.i −0.00219618 0.00962209i
\(275\) 5.28102e6 + 2.31376e7i 0.253933 + 1.11255i
\(276\) 1.61282e7 3.34906e7i 0.767114 1.59293i
\(277\) 2.30107e7 + 1.83504e7i 1.08266 + 0.863389i 0.991194 0.132419i \(-0.0422745\pi\)
0.0914623 + 0.995809i \(0.470846\pi\)
\(278\) 48088.0 38348.9i 0.00223822 0.00178492i
\(279\) −6.39505e6 3.07969e6i −0.294463 0.141806i
\(280\) −135920. + 282241.i −0.00619170 + 0.0128572i
\(281\) −1.54092e7 1.93225e7i −0.694483 0.870854i 0.302115 0.953271i \(-0.402307\pi\)
−0.996598 + 0.0824175i \(0.973736\pi\)
\(282\) −261306. + 327667.i −0.0116520 + 0.0146112i
\(283\) 309817. + 149200.i 0.0136693 + 0.00658279i 0.440706 0.897652i \(-0.354728\pi\)
−0.427037 + 0.904234i \(0.640442\pi\)
\(284\) −1.27844e7 + 2.91796e6i −0.558118 + 0.127387i
\(285\) −7.48323e6 + 1.70800e6i −0.323262 + 0.0737824i
\(286\) 53169.2 + 42401.0i 0.00227280 + 0.00181250i
\(287\) −9.69215e6 2.01260e7i −0.409991 0.851355i
\(288\) 839342. + 191574.i 0.0351368 + 0.00801973i
\(289\) −5.55901e7 + 2.67708e7i −2.30305 + 1.10909i
\(290\) 356843. 284573.i 0.0146313 0.0116681i
\(291\) −1.35285e7 + 3.08780e6i −0.548999 + 0.125306i
\(292\) 2.38349e6 1.90077e6i 0.0957338 0.0763452i
\(293\) −7.20360e6 + 3.15610e7i −0.286383 + 1.25472i 0.603067 + 0.797691i \(0.293945\pi\)
−0.889449 + 0.457034i \(0.848912\pi\)
\(294\) 231826. 0.00912264
\(295\) 2.53147e6i 0.0986067i
\(296\) −83695.2 + 366693.i −0.00322720 + 0.0141393i
\(297\) 1.52879e7 + 1.21917e7i 0.583552 + 0.465367i
\(298\) −396820. 191099.i −0.0149950 0.00722119i
\(299\) 5.24795e6 2.52728e6i 0.196325 0.0945452i
\(300\) 2.78208e7i 1.03040i
\(301\) −1.60618e7 + 1.82514e6i −0.588971 + 0.0669262i
\(302\) 91007.9 0.00330414
\(303\) −3.05480e6 6.34336e6i −0.109813 0.228030i
\(304\) 2.05815e6 4.27379e6i 0.0732582 0.152122i
\(305\) −8.92543e6 + 1.11921e7i −0.314579 + 0.394470i
\(306\) −632918. 144459.i −0.0220894 0.00504175i
\(307\) 2.71062e7 0.936814 0.468407 0.883513i \(-0.344828\pi\)
0.468407 + 0.883513i \(0.344828\pi\)
\(308\) 2.90456e7i 0.994095i
\(309\) 4.46937e7 + 1.02010e7i 1.51485 + 0.345756i
\(310\) −56481.2 70825.1i −0.00189591 0.00237740i
\(311\) 1.17891e7 + 5.16514e7i 0.391922 + 1.71712i 0.657867 + 0.753134i \(0.271459\pi\)
−0.265945 + 0.963988i \(0.585684\pi\)
\(312\) 99414.1 + 124661.i 0.00327329 + 0.00410457i
\(313\) −1.58186e7 3.28477e7i −0.515864 1.07120i −0.982415 0.186709i \(-0.940218\pi\)
0.466551 0.884494i \(-0.345497\pi\)
\(314\) 44930.0 196851.i 0.00145127 0.00635842i
\(315\) −2.79966e7 + 1.34824e7i −0.895723 + 0.431357i
\(316\) 54573.5 68433.1i 0.00172950 0.00216873i
\(317\) −5.64607e6 2.47370e7i −0.177243 0.776551i −0.982896 0.184163i \(-0.941042\pi\)
0.805653 0.592388i \(-0.201815\pi\)
\(318\) −136297. 597156.i −0.00423843 0.0185698i
\(319\) −3.67245e7 + 7.62591e7i −1.13131 + 2.34920i
\(320\) −3.31928e7 2.64704e7i −1.01296 0.807813i
\(321\) 6.35893e7 5.07108e7i 1.92251 1.53315i
\(322\) 193303. + 93090.1i 0.00578991 + 0.00278828i
\(323\) −4.65660e6 + 9.66953e6i −0.138185 + 0.286945i
\(324\) −1.31431e7 1.64810e7i −0.386424 0.484561i
\(325\) −2.71810e6 + 3.40839e6i −0.0791799 + 0.0992885i
\(326\) 306382. + 147546.i 0.00884322 + 0.00425867i
\(327\) 7.80978e7 1.78253e7i 2.23355 0.509793i
\(328\) −1.01851e6 + 232469.i −0.0288632 + 0.00658784i
\(329\) 2.19297e7 + 1.74883e7i 0.615806 + 0.491089i
\(330\) 476790. + 990066.i 0.0132674 + 0.0275500i
\(331\) −4.62482e7 1.05559e7i −1.27530 0.291078i −0.469321 0.883028i \(-0.655501\pi\)
−0.805975 + 0.591950i \(0.798358\pi\)
\(332\) −1.58649e7 + 7.64012e6i −0.433533 + 0.208779i
\(333\) −2.91694e7 + 2.32618e7i −0.789942 + 0.629957i
\(334\) −165010. + 37662.6i −0.00442866 + 0.00101081i
\(335\) 8.12204e6 6.47711e6i 0.216038 0.172285i
\(336\) 7.57594e6 3.31924e7i 0.199719 0.875025i
\(337\) 1.89918e7 0.496222 0.248111 0.968732i \(-0.420190\pi\)
0.248111 + 0.968732i \(0.420190\pi\)
\(338\) 346091.i 0.00896273i
\(339\) 8.39332e6 3.67736e7i 0.215444 0.943923i
\(340\) 7.51123e7 + 5.99001e7i 1.91106 + 1.52402i
\(341\) 1.51357e7 + 7.28896e6i 0.381715 + 0.183824i
\(342\) −73130.9 + 35218.0i −0.00182820 + 0.000880413i
\(343\) 3.94354e7i 0.977246i
\(344\) −83934.3 + 751334.i −0.00206188 + 0.0184569i
\(345\) 9.41211e7 2.29208
\(346\) −135027. 280386.i −0.00325980 0.00676905i
\(347\) −1.04527e7 + 2.17053e7i −0.250173 + 0.519490i −0.987802 0.155716i \(-0.950231\pi\)
0.737628 + 0.675207i \(0.235946\pi\)
\(348\) −6.18635e7 + 7.75744e7i −1.46790 + 1.84069i
\(349\) 4.41004e7 + 1.00656e7i 1.03745 + 0.236791i 0.707133 0.707080i \(-0.249988\pi\)
0.330315 + 0.943871i \(0.392845\pi\)
\(350\) −160578. −0.00374526
\(351\) 3.59191e6i 0.0830623i
\(352\) −1.98654e6 453415.i −0.0455480 0.0103960i
\(353\) 4.67001e7 + 5.85601e7i 1.06168 + 1.33130i 0.940922 + 0.338623i \(0.109961\pi\)
0.120758 + 0.992682i \(0.461467\pi\)
\(354\) 10560.9 + 46270.4i 0.000238063 + 0.00104302i
\(355\) −2.07020e7 2.59595e7i −0.462729 0.580244i
\(356\) −5.34567e6 1.11004e7i −0.118482 0.246030i
\(357\) −1.71407e7 + 7.50984e7i −0.376725 + 1.65054i
\(358\) 151094. 72763.1i 0.00329305 0.00158585i
\(359\) −2.92537e7 + 3.66830e7i −0.632262 + 0.792832i −0.990012 0.140986i \(-0.954973\pi\)
0.357749 + 0.933818i \(0.383544\pi\)
\(360\) 323380. + 1.41682e6i 0.00693116 + 0.0303674i
\(361\) −1.01701e7 4.45581e7i −0.216174 0.947120i
\(362\) −184062. + 382209.i −0.00388006 + 0.00805704i
\(363\) −1.02687e8 8.18900e7i −2.14681 1.71203i
\(364\) 4.17141e6 3.32659e6i 0.0864925 0.0689755i
\(365\) 6.95479e6 + 3.34925e6i 0.143023 + 0.0688762i
\(366\) −116448. + 241806.i −0.00237513 + 0.00493202i
\(367\) 2.19725e7 + 2.75526e7i 0.444509 + 0.557397i 0.952725 0.303833i \(-0.0982664\pi\)
−0.508216 + 0.861229i \(0.669695\pi\)
\(368\) −3.62663e7 + 4.54765e7i −0.727713 + 0.912523i
\(369\) −9.33659e7 4.49627e7i −1.85827 0.894897i
\(370\) −464224. + 105956.i −0.00916478 + 0.00209180i
\(371\) −3.99657e7 + 9.12191e6i −0.782647 + 0.178634i
\(372\) 1.53967e7 + 1.22785e7i 0.299089 + 0.238515i
\(373\) 5.85312e6 + 1.21541e7i 0.112788 + 0.234206i 0.949720 0.313100i \(-0.101368\pi\)
−0.836932 + 0.547306i \(0.815653\pi\)
\(374\) 1.49798e6 + 341904.i 0.0286346 + 0.00653566i
\(375\) 2.98126e7 1.43570e7i 0.565336 0.272252i
\(376\) 1.02560e6 817891.i 0.0192937 0.0153862i
\(377\) −1.51581e7 + 3.45973e6i −0.282891 + 0.0645681i
\(378\) −103440. + 82490.7i −0.00191520 + 0.00152732i
\(379\) −3.65644e6 + 1.60199e7i −0.0671647 + 0.294268i −0.997344 0.0728384i \(-0.976794\pi\)
0.930179 + 0.367106i \(0.119651\pi\)
\(380\) 1.20120e7 0.218909
\(381\) 9.11513e6i 0.164812i
\(382\) 77888.3 341251.i 0.00139728 0.00612187i
\(383\) −7.00710e7 5.58798e7i −1.24722 0.994623i −0.999668 0.0257473i \(-0.991803\pi\)
−0.247549 0.968875i \(-0.579625\pi\)
\(384\) −2.86940e6 1.38183e6i −0.0506753 0.0244040i
\(385\) 6.62618e7 3.19100e7i 1.16113 0.559171i
\(386\) 569090.i 0.00989508i
\(387\) −5.29766e7 + 5.30771e7i −0.914011 + 0.915744i
\(388\) 2.17158e7 0.371776
\(389\) 2.74301e7 + 5.69591e7i 0.465991 + 0.967641i 0.993037 + 0.117804i \(0.0375855\pi\)
−0.527045 + 0.849837i \(0.676700\pi\)
\(390\) −87582.4 + 181867.i −0.00147646 + 0.00306591i
\(391\) 8.20532e7 1.02891e8i 1.37267 1.72127i
\(392\) −707427. 161466.i −0.0117442 0.00268054i
\(393\) 1.21356e8 1.99933
\(394\) 6485.53i 0.000106037i
\(395\) 216072. + 49317.1i 0.00350596 + 0.000800213i
\(396\) −8.40120e7 1.05348e8i −1.35287 1.69644i
\(397\) −1.89221e7 8.29030e7i −0.302411 1.32495i −0.866476 0.499218i \(-0.833621\pi\)
0.564066 0.825730i \(-0.309236\pi\)
\(398\) −459885. 576678.i −0.00729458 0.00914712i
\(399\) 4.17876e6 + 8.67729e6i 0.0657853 + 0.136605i
\(400\) 9.68727e6 4.24427e7i 0.151364 0.663167i
\(401\) −1.49064e7 + 7.17852e6i −0.231174 + 0.111327i −0.545885 0.837860i \(-0.683807\pi\)
0.314711 + 0.949187i \(0.398092\pi\)
\(402\) 121434. 152273.i 0.00186923 0.00234393i
\(403\) 686677. + 3.00853e6i 0.0104915 + 0.0459662i
\(404\) 2.45176e6 + 1.07419e7i 0.0371821 + 0.162905i
\(405\) 2.31588e7 4.80898e7i 0.348620 0.723916i
\(406\) −447749. 357068.i −0.00669047 0.00533547i
\(407\) 6.90376e7 5.50557e7i 1.02401 0.816618i
\(408\) 3.24575e6 + 1.56307e6i 0.0477897 + 0.0230143i
\(409\) 5.67676e6 1.17879e7i 0.0829718 0.172293i −0.855355 0.518042i \(-0.826661\pi\)
0.938327 + 0.345749i \(0.112375\pi\)
\(410\) −824609. 1.03403e6i −0.0119646 0.0150031i
\(411\) −6.96776e7 + 8.73729e7i −1.00362 + 1.25849i
\(412\) −6.46370e7 3.11276e7i −0.924251 0.445096i
\(413\) 3.09672e6 706807.i 0.0439595 0.0100335i
\(414\) 970363. 221479.i 0.0136752 0.00312127i
\(415\) −3.48589e7 2.77990e7i −0.487718 0.388942i
\(416\) −162401. 337228.i −0.00225584 0.00468429i
\(417\) −3.30074e7 7.53372e6i −0.455201 0.103897i
\(418\) 173085. 83353.3i 0.00236990 0.00114129i
\(419\) 3.94256e6 3.14409e6i 0.0535964 0.0427417i −0.596325 0.802743i \(-0.703373\pi\)
0.649922 + 0.760001i \(0.274802\pi\)
\(420\) 8.40523e7 1.91844e7i 1.13449 0.258940i
\(421\) 5.80877e7 4.63234e7i 0.778463 0.620804i −0.151499 0.988457i \(-0.548410\pi\)
0.929963 + 0.367653i \(0.119839\pi\)
\(422\) 109544. 479943.i 0.00145764 0.00638634i
\(423\) 1.30122e8 1.71921
\(424\) 1.91718e6i 0.0251515i
\(425\) −2.19176e7 + 9.60273e7i −0.285513 + 1.25092i
\(426\) −486692. 388124.i −0.00629543 0.00502043i
\(427\) 1.61833e7 + 7.79347e6i 0.207866 + 0.100103i
\(428\) −1.14678e8 + 5.52258e7i −1.46267 + 0.704386i
\(429\) 3.74336e7i 0.474122i
\(430\) −903078. + 316961.i −0.0113585 + 0.00398658i
\(431\) 9.55171e6 0.119302 0.0596512 0.998219i \(-0.481001\pi\)
0.0596512 + 0.998219i \(0.481001\pi\)
\(432\) −1.55630e7 3.23169e7i −0.193038 0.400847i
\(433\) −3.86517e7 + 8.02610e7i −0.476107 + 0.988646i 0.515199 + 0.857070i \(0.327718\pi\)
−0.991306 + 0.131576i \(0.957996\pi\)
\(434\) −70869.8 + 88867.9i −0.000866946 + 0.00108712i
\(435\) −2.44935e8 5.59049e7i −2.97566 0.679176i
\(436\) −1.25361e8 −1.51253
\(437\) 1.64544e7i 0.197169i
\(438\) 141093. + 32203.5i 0.00167912 + 0.000383249i
\(439\) 3.12967e7 + 3.92449e7i 0.369918 + 0.463863i 0.931597 0.363493i \(-0.118416\pi\)
−0.561679 + 0.827355i \(0.689844\pi\)
\(440\) −765370. 3.35331e6i −0.00898491 0.0393655i
\(441\) −4.48769e7 5.62739e7i −0.523248 0.656132i
\(442\) 122460. + 254292.i 0.00141817 + 0.00294487i
\(443\) −1.49059e7 + 6.53071e7i −0.171454 + 0.751189i 0.813947 + 0.580939i \(0.197315\pi\)
−0.985401 + 0.170250i \(0.945543\pi\)
\(444\) 9.32622e7 4.49127e7i 1.06551 0.513122i
\(445\) 1.94505e7 2.43902e7i 0.220725 0.276780i
\(446\) −13749.6 60240.9i −0.000154983 0.000679027i
\(447\) 5.39473e7 + 2.36359e8i 0.604015 + 2.64636i
\(448\) −2.31133e7 + 4.79953e7i −0.257056 + 0.533783i
\(449\) 1.54528e7 + 1.23232e7i 0.170714 + 0.136140i 0.705120 0.709088i \(-0.250893\pi\)
−0.534406 + 0.845228i \(0.679465\pi\)
\(450\) −582413. + 464459.i −0.00639137 + 0.00509694i
\(451\) 2.20977e8 + 1.06417e8i 2.40889 + 1.16006i
\(452\) −2.56115e7 + 5.31828e7i −0.277344 + 0.575911i
\(453\) −3.12337e7 3.91658e7i −0.335992 0.421320i
\(454\) −725003. + 909125.i −0.00774769 + 0.00971529i
\(455\) 1.21717e7 + 5.86160e6i 0.129217 + 0.0622275i
\(456\) 439131. 100229.i 0.00463127 0.00105706i
\(457\) 3.33401e7 7.60967e6i 0.349316 0.0797291i −0.0442629 0.999020i \(-0.514094\pi\)
0.393579 + 0.919291i \(0.371237\pi\)
\(458\) 577906. + 460865.i 0.00601535 + 0.00479708i
\(459\) 3.52116e7 + 7.31175e7i 0.364122 + 0.756107i
\(460\) −1.43601e8 3.27760e7i −1.47531 0.336730i
\(461\) 5.33968e7 2.57145e7i 0.545020 0.262468i −0.141051 0.990002i \(-0.545048\pi\)
0.686071 + 0.727535i \(0.259334\pi\)
\(462\) 1.07802e6 859689.i 0.0109320 0.00871797i
\(463\) 1.07180e8 2.44632e7i 1.07987 0.246474i 0.354657 0.934996i \(-0.384598\pi\)
0.725215 + 0.688523i \(0.241741\pi\)
\(464\) 1.21389e8 9.68044e7i 1.21514 0.969039i
\(465\) −1.10958e7 + 4.86140e7i −0.110357 + 0.483507i
\(466\) 1.11274e6 0.0109961
\(467\) 1.25740e8i 1.23459i 0.786733 + 0.617293i \(0.211771\pi\)
−0.786733 + 0.617293i \(0.788229\pi\)
\(468\) 5.50772e6 2.41309e7i 0.0537322 0.235416i
\(469\) −1.01911e7 8.12717e6i −0.0987880 0.0787808i
\(470\) 1.49624e6 + 720550.i 0.0144114 + 0.00694017i
\(471\) −1.00136e8 + 4.82230e7i −0.958358 + 0.461521i
\(472\) 148552.i 0.00141270i
\(473\) 1.25384e8 1.25622e8i 1.18484 1.18708i
\(474\) 4155.13 3.90166e−5
\(475\) 5.34333e6 + 1.10955e7i 0.0498576 + 0.103530i
\(476\) 5.23033e7 1.08609e8i 0.484963 1.00704i
\(477\) −1.18570e8 + 1.48683e8i −1.09250 + 1.36995i
\(478\) 988289. + 225571.i 0.00904900 + 0.00206537i
\(479\) −1.30810e8 −1.19024 −0.595118 0.803638i \(-0.702895\pi\)
−0.595118 + 0.803638i \(0.702895\pi\)
\(480\) 6.04814e6i 0.0546887i
\(481\) 1.58137e7 + 3.60938e6i 0.142102 + 0.0324338i
\(482\) −97621.1 122413.i −0.000871771 0.00109317i
\(483\) −2.62794e7 1.15138e8i −0.233225 1.02182i
\(484\) 1.28153e8 + 1.60699e8i 1.13030 + 1.41735i
\(485\) 2.38574e7 + 4.95404e7i 0.209121 + 0.434244i
\(486\) 328236. 1.43810e6i 0.00285942 0.0125279i
\(487\) 6.52857e7 3.14400e7i 0.565238 0.272204i −0.129365 0.991597i \(-0.541294\pi\)
0.694604 + 0.719393i \(0.255580\pi\)
\(488\) 523762. 656777.i 0.00450687 0.00565143i
\(489\) −4.16523e7 1.82491e8i −0.356215 1.56068i
\(490\) −204411. 895584.i −0.00173747 0.00761234i
\(491\) 6.40860e7 1.33076e8i 0.541400 1.12423i −0.433411 0.901197i \(-0.642690\pi\)
0.974811 0.223033i \(-0.0715957\pi\)
\(492\) 2.24788e8 + 1.79263e8i 1.88746 + 1.50520i
\(493\) −2.74645e8 + 2.19022e8i −2.29208 + 1.82788i
\(494\) 31794.3 + 15311.3i 0.000263735 + 0.000127008i
\(495\) 1.48033e8 3.07394e8i 1.22052 2.53443i
\(496\) −1.92135e7 2.40929e7i −0.157456 0.197444i
\(497\) −2.59758e7 + 3.25727e7i −0.211593 + 0.265329i
\(498\) −753127. 362687.i −0.00609790 0.00293659i
\(499\) −4.90168e7 + 1.11878e7i −0.394497 + 0.0900413i −0.415167 0.909745i \(-0.636277\pi\)
0.0206706 + 0.999786i \(0.493420\pi\)
\(500\) −5.04849e7 + 1.15228e7i −0.403879 + 0.0921827i
\(501\) 7.28395e7 + 5.80876e7i 0.579234 + 0.461923i
\(502\) 476114. + 988660.i 0.00376357 + 0.00781513i
\(503\) −3.85703e6 880342.i −0.0303074 0.00691748i 0.207340 0.978269i \(-0.433519\pi\)
−0.237648 + 0.971351i \(0.576376\pi\)
\(504\) 1.64290e6 791177.i 0.0128327 0.00617991i
\(505\) −2.18119e7 + 1.73944e7i −0.169363 + 0.135063i
\(506\) −2.29664e6 + 524193.i −0.0177272 + 0.00404613i
\(507\) −1.48942e8 + 1.18778e8i −1.14286 + 0.911403i
\(508\) −3.17418e6 + 1.39070e7i −0.0242125 + 0.106082i
\(509\) 1.92433e8 1.45924 0.729619 0.683854i \(-0.239698\pi\)
0.729619 + 0.683854i \(0.239698\pi\)
\(510\) 4.56068e6i 0.0343811i
\(511\) 2.15528e6 9.44288e6i 0.0161525 0.0707688i
\(512\) 4.87061e6 + 3.88418e6i 0.0362888 + 0.0289394i
\(513\) 9.14193e6 + 4.40252e6i 0.0677152 + 0.0326099i
\(514\) 2.10464e6 1.01354e6i 0.0154984 0.00746365i
\(515\) 1.81654e8i 1.32991i
\(516\) 1.76066e8 1.10862e8i 1.28152 0.806929i
\(517\) −3.07970e8 −2.22863
\(518\) 259230. + 538297.i 0.00186508 + 0.00387287i
\(519\) −7.43249e7 + 1.54337e8i −0.531658 + 1.10400i
\(520\) 393930. 493973.i 0.00280162 0.00351312i
\(521\) −1.96002e8 4.47362e7i −1.38595 0.316334i −0.536454 0.843930i \(-0.680236\pi\)
−0.849495 + 0.527596i \(0.823093\pi\)
\(522\) −2.65677e6 −0.0186785
\(523\) 1.19910e8i 0.838206i −0.907939 0.419103i \(-0.862345\pi\)
0.907939 0.419103i \(-0.137655\pi\)
\(524\) −1.85153e8 4.22601e7i −1.28688 0.293722i
\(525\) 5.51100e7 + 6.91058e7i 0.380849 + 0.477569i
\(526\) −319603. 1.40027e6i −0.00219610 0.00962176i
\(527\) 4.34708e7 + 5.45106e7i 0.297006 + 0.372434i
\(528\) 1.62192e8 + 3.36795e8i 1.10186 + 2.28804i
\(529\) −1.19566e7 + 5.23852e7i −0.0807681 + 0.353868i
\(530\) −2.18674e6 + 1.05308e6i −0.0146882 + 0.00707347i
\(531\) 9.18737e6 1.15206e7i 0.0613632 0.0769470i
\(532\) −3.35385e6 1.46942e7i −0.0222745 0.0975910i
\(533\) 1.00253e7 + 4.39237e7i 0.0662088 + 0.290080i
\(534\) 253766. 526951.i 0.00166652 0.00346056i
\(535\) −2.51974e8 2.00942e8i −1.64549 1.31223i
\(536\) −476618. + 380090.i −0.00309511 + 0.00246827i
\(537\) −8.31692e7 4.00522e7i −0.537081 0.258644i
\(538\) −887893. + 1.84373e6i −0.00570183 + 0.0118400i
\(539\) 1.06214e8 + 1.33188e8i 0.678289 + 0.850548i
\(540\) 5.66318e7 7.10140e7i 0.359649 0.450985i
\(541\) −7.87493e7 3.79237e7i −0.497342 0.239507i 0.168359 0.985726i \(-0.446153\pi\)
−0.665701 + 0.746219i \(0.731867\pi\)
\(542\) −2.59526e6 + 592351.i −0.0162998 + 0.00372033i
\(543\) 2.27656e8 5.19610e7i 1.42193 0.324547i
\(544\) −6.61171e6 5.27266e6i −0.0410693 0.0327517i
\(545\) −1.37724e8 2.85988e8i −0.850788 1.76668i
\(546\) 246930. + 56360.1i 0.00151704 + 0.000346253i
\(547\) 4.24787e7 2.04567e7i 0.259543 0.124989i −0.299588 0.954069i \(-0.596849\pi\)
0.559131 + 0.829079i \(0.311135\pi\)
\(548\) 1.36733e8 1.09041e8i 0.830870 0.662597i
\(549\) 8.12385e7 1.85422e7i 0.490959 0.112058i
\(550\) 1.37844e6 1.09927e6i 0.00828517 0.00660720i
\(551\) −9.77339e6 + 4.28200e7i −0.0584239 + 0.255972i
\(552\) −5.52322e6 −0.0328379
\(553\) 278089.i 0.00164440i
\(554\) 486539. 2.13166e6i 0.00286146 0.0125369i
\(555\) 2.04919e8 + 1.63418e8i 1.19868 + 0.955917i
\(556\) 4.77360e7 + 2.29885e7i 0.277729 + 0.133747i
\(557\) 1.12757e8 5.43011e7i 0.652499 0.314227i −0.0781891 0.996939i \(-0.524914\pi\)
0.730688 + 0.682712i \(0.239199\pi\)
\(558\) 527307.i 0.00303502i
\(559\) 3.24015e7 + 3.61969e6i 0.185494 + 0.0207222i
\(560\) −1.34908e8 −0.768198
\(561\) −3.66962e8 7.62005e8i −2.07842 4.31588i
\(562\) −796626. + 1.65421e6i −0.00448792 + 0.00931927i
\(563\) 5.69586e7 7.14238e7i 0.319179 0.400237i −0.596197 0.802838i \(-0.703322\pi\)
0.915376 + 0.402601i \(0.131894\pi\)
\(564\) −3.51969e8 8.03346e7i −1.96186 0.447781i
\(565\) −1.49463e8 −0.828685
\(566\) 25546.2i 0.000140889i
\(567\) −6.52941e7 1.49029e7i −0.358199 0.0817566i
\(568\) 1.21483e6 + 1.52335e6i 0.00662936 + 0.00831296i
\(569\) −1.12689e7 4.93724e7i −0.0611711 0.268008i 0.935089 0.354413i \(-0.115319\pi\)
−0.996260 + 0.0864049i \(0.972462\pi\)
\(570\) 355530. + 445820.i 0.00191978 + 0.00240733i
\(571\) 8.45601e7 + 1.75591e8i 0.454211 + 0.943178i 0.994796 + 0.101889i \(0.0324886\pi\)
−0.540585 + 0.841289i \(0.681797\pi\)
\(572\) −1.30356e7 + 5.71126e7i −0.0696534 + 0.305171i
\(573\) −1.73591e8 + 8.35968e7i −0.922704 + 0.444351i
\(574\) −1.03468e6 + 1.29745e6i −0.00547104 + 0.00686047i
\(575\) −3.36032e7 1.47225e8i −0.176757 0.774423i
\(576\) 5.49910e7 + 2.40931e8i 0.287756 + 1.26074i
\(577\) −1.59432e8 + 3.31064e8i −0.829943 + 1.72339i −0.151868 + 0.988401i \(0.548529\pi\)
−0.678074 + 0.734993i \(0.737185\pi\)
\(578\) 3.58369e6 + 2.85790e6i 0.0185587 + 0.0148001i
\(579\) 2.44911e8 1.95310e8i 1.26175 1.00621i
\(580\) 3.54231e8 + 1.70589e8i 1.81553 + 0.874312i
\(581\) −2.42734e7 + 5.04043e7i −0.123766 + 0.257004i
\(582\) 642743. + 805974.i 0.00326038 + 0.00408839i
\(583\) 2.80630e8 3.51899e8i 1.41621 1.77588i
\(584\) −408121. 196541.i −0.00204904 0.000986765i
\(585\) 6.11009e7 1.39459e7i 0.305197 0.0696591i
\(586\) 2.34467e6 535155.i 0.0116517 0.00265942i
\(587\) −3.71333e7 2.96128e7i −0.183590 0.146408i 0.527382 0.849628i \(-0.323174\pi\)
−0.710973 + 0.703220i \(0.751745\pi\)
\(588\) 8.66460e7 + 1.79922e8i 0.426203 + 0.885020i
\(589\) 8.49879e6 + 1.93979e6i 0.0415921 + 0.00949313i
\(590\) 169438. 81597.2i 0.000825004 0.000397301i
\(591\) 2.79109e6 2.22582e6i 0.0135211 0.0107827i
\(592\) −1.57917e8 + 3.60435e7i −0.761139 + 0.173725i
\(593\) 1.70936e8 1.36317e8i 0.819726 0.653710i −0.121085 0.992642i \(-0.538637\pi\)
0.940811 + 0.338932i \(0.110066\pi\)
\(594\) 323249. 1.41624e6i 0.00154233 0.00675739i
\(595\) 3.05232e8 1.44903
\(596\) 3.79400e8i 1.79208i
\(597\) −9.03454e7 + 3.95829e8i −0.424603 + 1.86031i
\(598\) −338316. 269798.i −0.00158205 0.00126164i
\(599\) 2.31577e8 + 1.11521e8i 1.07749 + 0.518893i 0.886514 0.462701i \(-0.153120\pi\)
0.190978 + 0.981594i \(0.438834\pi\)
\(600\) 3.72442e6 1.79358e6i 0.0172427 0.00830363i
\(601\) 2.44038e8i 1.12417i 0.827078 + 0.562087i \(0.190001\pi\)
−0.827078 + 0.562087i \(0.809999\pi\)
\(602\) 639883. + 1.01623e6i 0.00293299 + 0.00465803i
\(603\) −6.04702e7 −0.275797
\(604\) 3.40146e7 + 7.06320e7i 0.154367 + 0.320546i
\(605\) −2.25811e8 + 4.68902e8i −1.01972 + 2.11747i
\(606\) −326113. + 408933.i −0.00146538 + 0.00183753i
\(607\) −1.54027e8 3.51556e7i −0.688700 0.157191i −0.136171 0.990685i \(-0.543480\pi\)
−0.552528 + 0.833494i \(0.686337\pi\)
\(608\) −1.05735e6 −0.00470442
\(609\) 3.15237e8i 1.39568i
\(610\) 1.03682e6 + 236647.i 0.00456786 + 0.00104258i
\(611\) −3.52718e7 4.42294e7i −0.154634 0.193904i
\(612\) −1.24440e8 5.45206e8i −0.542881 2.37852i
\(613\) −2.18682e7 2.74218e7i −0.0949361 0.119046i 0.732094 0.681203i \(-0.238543\pi\)
−0.827030 + 0.562157i \(0.809972\pi\)
\(614\) −873719. 1.81430e6i −0.00377456 0.00783796i
\(615\) −1.61996e8 + 7.09751e8i −0.696433 + 3.05127i
\(616\) −3.88838e6 + 1.87254e6i −0.0166351 + 0.00801106i
\(617\) −7.73767e7 + 9.70273e7i −0.329424 + 0.413084i −0.918768 0.394798i \(-0.870815\pi\)
0.589344 + 0.807882i \(0.299386\pi\)
\(618\) −757834. 3.32029e6i −0.00321077 0.0140673i
\(619\) −2.13716e7 9.36351e7i −0.0901084 0.394791i 0.909681 0.415307i \(-0.136326\pi\)
−0.999790 + 0.0205169i \(0.993469\pi\)
\(620\) 3.38579e7 7.03067e7i 0.142064 0.295000i
\(621\) −9.72774e7 7.75761e7i −0.406197 0.323931i
\(622\) 3.07718e6 2.45397e6i 0.0127874 0.0101976i
\(623\) −3.52671e7 1.69837e7i −0.145850 0.0702375i
\(624\) −2.97933e7 + 6.18664e7i −0.122621 + 0.254625i
\(625\) −1.85320e8 2.32384e8i −0.759072 0.951846i
\(626\) −1.68871e6 + 2.11757e6i −0.00688385 + 0.00863207i
\(627\) −9.52740e7 4.58815e7i −0.386520 0.186138i
\(628\) 1.69571e8 3.87034e7i 0.684655 0.156268i
\(629\) 3.57290e8 8.15492e7i 1.43572 0.327693i
\(630\) 1.80484e6 + 1.43931e6i 0.00721800 + 0.00575616i
\(631\) −2.64521e7 5.49283e7i −0.105286 0.218629i 0.841670 0.539993i \(-0.181573\pi\)
−0.946956 + 0.321364i \(0.895859\pi\)
\(632\) −12679.5 2894.02i −5.02288e−5 1.14644e-5i
\(633\) −2.44142e8 + 1.17572e8i −0.962566 + 0.463548i
\(634\) −1.47373e6 + 1.17526e6i −0.00578296 + 0.00461176i
\(635\) −3.52133e7 + 8.03720e6i −0.137526 + 0.0313895i
\(636\) 4.12517e8 3.28971e8i 1.60350 1.27875i
\(637\) −6.96325e6 + 3.05080e7i −0.0269398 + 0.118031i
\(638\) 6.28799e6 0.0242131
\(639\) 1.93273e8i 0.740746i
\(640\) −2.80817e6 + 1.23034e7i −0.0107123 + 0.0469337i
\(641\) 4.00713e8 + 3.19558e8i 1.52145 + 1.21332i 0.904614 + 0.426232i \(0.140159\pi\)
0.616841 + 0.787088i \(0.288412\pi\)
\(642\) −5.44390e6 2.62165e6i −0.0205734 0.00990761i
\(643\) −3.51411e7 + 1.69231e7i −0.132185 + 0.0636570i −0.498807 0.866713i \(-0.666228\pi\)
0.366622 + 0.930370i \(0.380514\pi\)
\(644\) 1.84817e8i 0.691967i
\(645\) 4.46340e8 + 2.79865e8i 1.66336 + 1.04296i
\(646\) 797307. 0.00295752
\(647\) 2.51220e7 + 5.21663e7i 0.0927557 + 0.192609i 0.942185 0.335093i \(-0.108768\pi\)
−0.849429 + 0.527703i \(0.823054\pi\)
\(648\) −1.35901e6 + 2.82201e6i −0.00499456 + 0.0103713i
\(649\) −2.17445e7 + 2.72667e7i −0.0795455 + 0.0997469i
\(650\) 315746. + 72067.0i 0.00114974 + 0.000262420i
\(651\) 6.25672e7 0.226780
\(652\) 2.92932e8i 1.05687i
\(653\) −6.54627e7 1.49414e7i −0.235101 0.0536602i 0.103347 0.994645i \(-0.467045\pi\)
−0.338448 + 0.940985i \(0.609902\pi\)
\(654\) −3.71044e6 4.65274e6i −0.0132645 0.0166332i
\(655\) −1.07005e8 4.68819e8i −0.380785 1.66833i
\(656\) −2.80511e8 3.51750e8i −0.993662 1.24601i
\(657\) −1.94956e7 4.04831e7i −0.0687450 0.142750i
\(658\) 463681. 2.03152e6i 0.00162758 0.00713088i
\(659\) −1.69848e8 + 8.17946e7i −0.593478 + 0.285804i −0.706415 0.707798i \(-0.749689\pi\)
0.112937 + 0.993602i \(0.463974\pi\)
\(660\) −5.90196e8 + 7.40082e8i −2.05288 + 2.57424i
\(661\) 2.57725e7 + 1.12917e8i 0.0892385 + 0.390980i 0.999747 0.0225118i \(-0.00716634\pi\)
−0.910508 + 0.413491i \(0.864309\pi\)
\(662\) 784193. + 3.43577e6i 0.00270302 + 0.0118427i
\(663\) 6.74079e7 1.39974e8i 0.231297 0.480293i
\(664\) 2.04559e6 + 1.63130e6i 0.00698738 + 0.00557225i
\(665\) 2.98373e7 2.37944e7i 0.101460 0.0809115i
\(666\) 2.49720e6 + 1.20259e6i 0.00845340 + 0.00407094i
\(667\) 2.33678e8 4.85238e8i 0.787482 1.63522i
\(668\) −9.09036e7 1.13990e8i −0.304966 0.382416i
\(669\) −2.12062e7 + 2.65918e7i −0.0708247 + 0.0888114i
\(670\) −695331. 334854.i −0.00231189 0.00111335i
\(671\) −1.92274e8 + 4.38852e7i −0.636433 + 0.145262i
\(672\) −7.39864e6 + 1.68869e6i −0.0243806 + 0.00556471i
\(673\) −1.32650e8 1.05785e8i −0.435174 0.347040i 0.381271 0.924463i \(-0.375487\pi\)
−0.816444 + 0.577424i \(0.804058\pi\)
\(674\) −612165. 1.27117e6i −0.00199935 0.00415169i
\(675\) 9.07878e7 + 2.07217e7i 0.295200 + 0.0673774i
\(676\) 2.68604e8 1.29353e8i 0.869506 0.418732i
\(677\) 2.39981e8 1.91378e8i 0.773411 0.616775i −0.155177 0.987887i \(-0.549595\pi\)
0.928588 + 0.371112i \(0.121023\pi\)
\(678\) −2.73190e6 + 623539.i −0.00876549 + 0.00200067i
\(679\) 5.39412e7 4.30167e7i 0.172310 0.137413i
\(680\) 3.17649e6 1.39171e7i 0.0101023 0.0442611i
\(681\) 6.40067e8 2.02667
\(682\) 1.24802e6i 0.00393431i
\(683\) 1.05309e8 4.61391e8i 0.330526 1.44813i −0.487589 0.873073i \(-0.662124\pi\)
0.818115 0.575055i \(-0.195019\pi\)
\(684\) −5.46660e7 4.35947e7i −0.170824 0.136228i
\(685\) 3.98974e8 + 1.92136e8i 1.24129 + 0.597774i
\(686\) −2.63953e6 + 1.27113e6i −0.00817624 + 0.00393747i
\(687\) 4.06873e8i 1.25484i
\(688\) −3.07204e8 + 1.07822e8i −0.943326 + 0.331087i
\(689\) 8.26788e7 0.252776
\(690\) −3.03382e6 6.29980e6i −0.00923513 0.0191769i
\(691\) −2.79766e8 + 5.80939e8i −0.847931 + 1.76075i −0.232423 + 0.972615i \(0.574665\pi\)
−0.615507 + 0.788131i \(0.711049\pi\)
\(692\) 1.67143e8 2.09591e8i 0.504394 0.632490i
\(693\) −4.17365e8 9.52608e7i −1.25405 0.286229i
\(694\) 1.78972e6 0.00535436
\(695\) 1.34156e8i 0.399628i
\(696\) 1.43733e7 + 3.28061e6i 0.0426313 + 0.00973032i
\(697\) 6.34661e8 + 7.95840e8i 1.87432 + 2.35032i
\(698\) −747775. 3.27621e6i −0.00219889 0.00963399i
\(699\) −3.81891e8 4.78877e8i −1.11817 1.40214i
\(700\) −6.00167e7 1.24626e8i −0.174976 0.363341i
\(701\) −4.76065e7 + 2.08578e8i −0.138201 + 0.605500i 0.857628 + 0.514270i \(0.171937\pi\)
−0.995830 + 0.0912302i \(0.970920\pi\)
\(702\) 240417. 115779.i 0.000694950 0.000334670i
\(703\) 2.85690e7 3.58243e7i 0.0822296 0.103113i
\(704\) −1.30152e8 5.70232e8i −0.373020 1.63431i
\(705\) −2.03412e8 8.91206e8i −0.580509 2.54338i
\(706\) 2.41430e6 5.01335e6i 0.00686084 0.0142467i
\(707\) 2.73685e7 + 2.18257e7i 0.0774450 + 0.0617603i
\(708\) −3.19637e7 + 2.54902e7i −0.0900652 + 0.0718246i
\(709\) −4.48178e8 2.15831e8i −1.25751 0.605586i −0.317996 0.948092i \(-0.603010\pi\)
−0.939516 + 0.342506i \(0.888724\pi\)
\(710\) −1.07025e6 + 2.22240e6i −0.00299027 + 0.00620936i
\(711\) −804350. 1.00862e6i −0.00223788 0.00280621i
\(712\) −1.14140e6 + 1.43127e6i −0.00316225 + 0.00396534i
\(713\) −9.63085e7 4.63797e7i −0.265703 0.127956i
\(714\) 5.57905e6 1.27338e6i 0.0153273 0.00349836i
\(715\) −1.44612e8 + 3.30068e7i −0.395628 + 0.0902996i
\(716\) 1.12944e8 + 9.00699e7i 0.307698 + 0.245381i
\(717\) −2.42103e8 5.02732e8i −0.656814 1.36389i
\(718\) 3.39824e6 + 775625.i 0.00918079 + 0.00209546i
\(719\) 1.72539e8 8.30904e7i 0.464195 0.223545i −0.187142 0.982333i \(-0.559923\pi\)
0.651337 + 0.758788i \(0.274208\pi\)
\(720\) −4.89308e8 + 3.90210e8i −1.31095 + 1.04544i
\(721\) −2.22216e8 + 5.07194e7i −0.592884 + 0.135322i
\(722\) −2.65459e6 + 2.11696e6i −0.00705319 + 0.00562473i
\(723\) −1.91779e7 + 8.40237e7i −0.0507440 + 0.222324i
\(724\) −3.65430e8 −0.962916
\(725\) 4.03089e8i 1.05776i
\(726\) −2.17121e6 + 9.51269e6i −0.00567403 + 0.0248596i
\(727\) −3.11538e7 2.48443e7i −0.0810788 0.0646582i 0.582112 0.813109i \(-0.302227\pi\)
−0.663190 + 0.748451i \(0.730798\pi\)
\(728\) −714262. 343971.i −0.00185124 0.000891512i
\(729\) −5.15189e8 + 2.48102e8i −1.32979 + 0.640395i
\(730\) 573461.i 0.00147413i
\(731\) 6.95055e8 2.43950e8i 1.77937 0.624522i
\(732\) −2.31191e8 −0.589437
\(733\) −2.41434e7 5.01342e7i −0.0613036 0.127298i 0.868066 0.496449i \(-0.165363\pi\)
−0.929370 + 0.369151i \(0.879649\pi\)
\(734\) 1.13593e6 2.35879e6i 0.00287253 0.00596487i
\(735\) −3.15267e8 + 3.95332e8i −0.793992 + 0.995635i
\(736\) 1.26404e7 + 2.88508e6i 0.0317049 + 0.00723644i
\(737\) 1.43120e8 0.357518
\(738\) 7.69854e6i 0.0191531i
\(739\) 3.30956e8 + 7.55387e7i 0.820045 + 0.187170i 0.611907 0.790930i \(-0.290403\pi\)
0.208138 + 0.978100i \(0.433260\pi\)
\(740\) −2.55739e8 3.20686e8i −0.631105 0.791381i
\(741\) −4.32240e6 1.89377e7i −0.0106236 0.0465449i
\(742\) 1.89878e6 + 2.38099e6i 0.00464796 + 0.00582836i
\(743\) −2.30861e8 4.79387e8i −0.562838 1.16875i −0.967169 0.254133i \(-0.918210\pi\)
0.404331 0.914613i \(-0.367504\pi\)
\(744\) 651126. 2.85277e6i 0.00158105 0.00692704i
\(745\) 8.65527e8 4.16816e8i 2.09320 1.00803i
\(746\) 624847. 783533.i 0.00150507 0.00188730i
\(747\) 5.77512e7 + 2.53024e8i 0.138548 + 0.607017i
\(748\) 2.94521e8 + 1.29038e9i 0.703740 + 3.08328i
\(749\) −1.75458e8 + 3.64343e8i −0.417569 + 0.867091i
\(750\) −1.92191e6 1.53267e6i −0.00455564 0.00363301i
\(751\) −2.40050e7 + 1.91433e7i −0.0566737 + 0.0451957i −0.651417 0.758720i \(-0.725825\pi\)
0.594743 + 0.803916i \(0.297254\pi\)
\(752\) 5.08982e8 + 2.45113e8i 1.19687 + 0.576384i
\(753\) 2.62075e8 5.44204e8i 0.613820 1.27461i
\(754\) 720162. + 903055.i 0.00168003 + 0.00210669i
\(755\) −1.23764e8 + 1.55195e8i −0.287577 + 0.360610i
\(756\) −1.02683e8 4.94495e7i −0.237647 0.114445i
\(757\)