Properties

Label 43.7.f.a.2.1
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 2.1
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.68851 - 13.8888i) q^{2} +(4.36630 - 9.06671i) q^{3} +(-108.260 + 135.754i) q^{4} +(1.12402 + 0.256549i) q^{5} -155.130 q^{6} +114.871i q^{7} +(1647.71 + 376.078i) q^{8} +(391.383 + 490.779i) q^{9} +O(q^{10})\) \(q+(-6.68851 - 13.8888i) q^{2} +(4.36630 - 9.06671i) q^{3} +(-108.260 + 135.754i) q^{4} +(1.12402 + 0.256549i) q^{5} -155.130 q^{6} +114.871i q^{7} +(1647.71 + 376.078i) q^{8} +(391.383 + 490.779i) q^{9} +(-3.95482 - 17.3272i) q^{10} +(-143.971 - 180.533i) q^{11} +(758.145 + 1574.30i) q^{12} +(-474.002 + 2076.74i) q^{13} +(1595.43 - 768.317i) q^{14} +(7.23385 - 9.07095i) q^{15} +(-3324.60 - 14566.0i) q^{16} +(-265.325 - 1162.46i) q^{17} +(4198.58 - 8718.44i) q^{18} +(-1735.46 - 1383.99i) q^{19} +(-156.513 + 124.815i) q^{20} +(1041.50 + 501.562i) q^{21} +(-1544.45 + 3207.08i) q^{22} +(10598.8 + 13290.5i) q^{23} +(10604.2 - 13297.2i) q^{24} +(-14076.4 - 6778.86i) q^{25} +(32013.8 - 7306.94i) q^{26} +(13310.9 - 3038.12i) q^{27} +(-15594.2 - 12436.0i) q^{28} +(15411.2 + 32001.6i) q^{29} +(-174.369 - 39.7985i) q^{30} +(20994.6 - 10110.5i) q^{31} +(-95501.7 + 76160.1i) q^{32} +(-2265.46 + 517.077i) q^{33} +(-14370.6 + 11460.2i) q^{34} +(-29.4701 + 129.117i) q^{35} -108996. q^{36} +52619.2i q^{37} +(-7614.28 + 33360.4i) q^{38} +(16759.5 + 13365.3i) q^{39} +(1755.57 + 845.436i) q^{40} +(72824.9 - 35070.6i) q^{41} -17820.0i q^{42} +(78782.3 + 10710.5i) q^{43} +40094.3 q^{44} +(314.012 + 652.053i) q^{45} +(113699. - 236099. i) q^{46} +(-113860. + 142776. i) q^{47} +(-146582. - 33456.5i) q^{48} +104454. q^{49} +240846. i q^{50} +(-11698.2 - 2670.04i) q^{51} +(-230609. - 289175. i) q^{52} +(-23546.0 - 103162. i) q^{53} +(-131226. - 164552. i) q^{54} +(-115.509 - 239.858i) q^{55} +(-43200.5 + 189274. i) q^{56} +(-20125.8 + 9692.05i) q^{57} +(341387. - 428086. i) q^{58} +(9340.51 + 40923.5i) q^{59} +(448.280 + 1964.04i) q^{60} +(-173626. + 360538. i) q^{61} +(-280845. - 223966. i) q^{62} +(-56376.4 + 44958.7i) q^{63} +(835031. + 402130. i) q^{64} +(-1065.57 + 2212.68i) q^{65} +(22334.1 + 28006.1i) q^{66} +(99720.3 - 125045. i) q^{67} +(186533. + 89829.4i) q^{68} +(166779. - 38066.2i) q^{69} +(1990.39 - 454.295i) q^{70} +(23567.9 + 18794.8i) q^{71} +(460313. + 955851. i) q^{72} +(-466171. - 106400. i) q^{73} +(730819. - 351944. i) q^{74} +(-122924. + 98028.5i) q^{75} +(375763. - 85765.4i) q^{76} +(20738.1 - 16538.1i) q^{77} +(73531.8 - 322164. i) q^{78} -226642. q^{79} -17225.4i q^{80} +(-71255.6 + 312191. i) q^{81} +(-974179. - 776882. i) q^{82} +(-649105. - 312592. i) q^{83} +(-180842. + 87089.0i) q^{84} -1374.70i q^{85} +(-378180. - 1.16583e6i) q^{86} +357439. q^{87} +(-169327. - 351610. i) q^{88} +(-467543. + 970862. i) q^{89} +(6955.98 - 8722.52i) q^{90} +(-238557. - 54449.1i) q^{91} -2.95167e6 q^{92} -234497. i q^{93} +(2.74455e6 + 626426. i) q^{94} +(-1595.63 - 2000.85i) q^{95} +(273532. + 1.19842e6i) q^{96} +(-91309.4 - 114498. i) q^{97} +(-698639. - 1.45074e6i) q^{98} +(32254.4 - 141316. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.68851 13.8888i −0.836063 1.73610i −0.659343 0.751842i \(-0.729166\pi\)
−0.176720 0.984261i \(-0.556549\pi\)
\(3\) 4.36630 9.06671i 0.161715 0.335804i −0.804328 0.594185i \(-0.797475\pi\)
0.966043 + 0.258381i \(0.0831890\pi\)
\(4\) −108.260 + 135.754i −1.69156 + 2.12115i
\(5\) 1.12402 + 0.256549i 0.00899213 + 0.00205239i 0.227015 0.973891i \(-0.427103\pi\)
−0.218023 + 0.975944i \(0.569961\pi\)
\(6\) −155.130 −0.718194
\(7\) 114.871i 0.334901i 0.985880 + 0.167451i \(0.0535535\pi\)
−0.985880 + 0.167451i \(0.946446\pi\)
\(8\) 1647.71 + 376.078i 3.21818 + 0.734528i
\(9\) 391.383 + 490.779i 0.536877 + 0.673223i
\(10\) −3.95482 17.3272i −0.00395482 0.0173272i
\(11\) −143.971 180.533i −0.108167 0.135637i 0.724801 0.688958i \(-0.241932\pi\)
−0.832968 + 0.553321i \(0.813360\pi\)
\(12\) 758.145 + 1574.30i 0.438741 + 0.911055i
\(13\) −474.002 + 2076.74i −0.215749 + 0.945260i 0.744830 + 0.667254i \(0.232531\pi\)
−0.960579 + 0.278006i \(0.910327\pi\)
\(14\) 1595.43 768.317i 0.581423 0.279999i
\(15\) 7.23385 9.07095i 0.00214336 0.00268769i
\(16\) −3324.60 14566.0i −0.811671 3.55616i
\(17\) −265.325 1162.46i −0.0540046 0.236610i 0.940721 0.339181i \(-0.110150\pi\)
−0.994726 + 0.102572i \(0.967293\pi\)
\(18\) 4198.58 8718.44i 0.719921 1.49493i
\(19\) −1735.46 1383.99i −0.253020 0.201777i 0.488763 0.872416i \(-0.337448\pi\)
−0.741783 + 0.670640i \(0.766020\pi\)
\(20\) −156.513 + 124.815i −0.0195642 + 0.0156019i
\(21\) 1041.50 + 501.562i 0.112461 + 0.0541585i
\(22\) −1544.45 + 3207.08i −0.145046 + 0.301191i
\(23\) 10598.8 + 13290.5i 0.871112 + 1.09234i 0.994983 + 0.100042i \(0.0318978\pi\)
−0.123871 + 0.992298i \(0.539531\pi\)
\(24\) 10604.2 13297.2i 0.767084 0.961893i
\(25\) −14076.4 6778.86i −0.900892 0.433847i
\(26\) 32013.8 7306.94i 1.82145 0.415734i
\(27\) 13310.9 3038.12i 0.676261 0.154352i
\(28\) −15594.2 12436.0i −0.710377 0.566507i
\(29\) 15411.2 + 32001.6i 0.631890 + 1.31213i 0.933457 + 0.358688i \(0.116776\pi\)
−0.301567 + 0.953445i \(0.597510\pi\)
\(30\) −174.369 39.7985i −0.00645809 0.00147402i
\(31\) 20994.6 10110.5i 0.704729 0.339380i −0.0469602 0.998897i \(-0.514953\pi\)
0.751690 + 0.659517i \(0.229239\pi\)
\(32\) −95501.7 + 76160.1i −2.91448 + 2.32422i
\(33\) −2265.46 + 517.077i −0.0630398 + 0.0143884i
\(34\) −14370.6 + 11460.2i −0.365627 + 0.291578i
\(35\) −29.4701 + 129.117i −0.000687350 + 0.00301148i
\(36\) −108996. −2.33617
\(37\) 52619.2i 1.03882i 0.854526 + 0.519408i \(0.173848\pi\)
−0.854526 + 0.519408i \(0.826152\pi\)
\(38\) −7614.28 + 33360.4i −0.138764 + 0.607967i
\(39\) 16759.5 + 13365.3i 0.282532 + 0.225312i
\(40\) 1755.57 + 845.436i 0.0274307 + 0.0132099i
\(41\) 72824.9 35070.6i 1.05664 0.508852i 0.176864 0.984235i \(-0.443405\pi\)
0.879779 + 0.475383i \(0.157691\pi\)
\(42\) 17820.0i 0.240524i
\(43\) 78782.3 + 10710.5i 0.990885 + 0.134711i
\(44\) 40094.3 0.470679
\(45\) 314.012 + 652.053i 0.00344595 + 0.00715559i
\(46\) 113699. 236099.i 1.16811 2.42561i
\(47\) −113860. + 142776.i −1.09668 + 1.37519i −0.176219 + 0.984351i \(0.556387\pi\)
−0.920459 + 0.390840i \(0.872185\pi\)
\(48\) −146582. 33456.5i −1.32543 0.302521i
\(49\) 104454. 0.887841
\(50\) 240846.i 1.92677i
\(51\) −11698.2 2670.04i −0.0881878 0.0201283i
\(52\) −230609. 289175.i −1.64009 2.05660i
\(53\) −23546.0 103162.i −0.158158 0.692934i −0.990366 0.138471i \(-0.955781\pi\)
0.832209 0.554462i \(-0.187076\pi\)
\(54\) −131226. 164552.i −0.833369 1.04501i
\(55\) −115.509 239.858i −0.000694272 0.00144167i
\(56\) −43200.5 + 189274.i −0.245994 + 1.07777i
\(57\) −20125.8 + 9692.05i −0.108674 + 0.0523349i
\(58\) 341387. 428086.i 1.74970 2.19405i
\(59\) 9340.51 + 40923.5i 0.0454794 + 0.199258i 0.992564 0.121727i \(-0.0388432\pi\)
−0.947084 + 0.320985i \(0.895986\pi\)
\(60\) 448.280 + 1964.04i 0.00207537 + 0.00909279i
\(61\) −173626. + 360538.i −0.764936 + 1.58841i 0.0429568 + 0.999077i \(0.486322\pi\)
−0.807893 + 0.589329i \(0.799392\pi\)
\(62\) −280845. 223966.i −1.17840 0.939740i
\(63\) −56376.4 + 44958.7i −0.225463 + 0.179801i
\(64\) 835031. + 402130.i 3.18539 + 1.53400i
\(65\) −1065.57 + 2212.68i −0.00388009 + 0.00805709i
\(66\) 22334.1 + 28006.1i 0.0776851 + 0.0974140i
\(67\) 99720.3 125045.i 0.331558 0.415760i −0.587910 0.808927i \(-0.700049\pi\)
0.919467 + 0.393166i \(0.128620\pi\)
\(68\) 186533. + 89829.4i 0.593237 + 0.285688i
\(69\) 166779. 38066.2i 0.507684 0.115876i
\(70\) 1990.39 454.295i 0.00580290 0.00132447i
\(71\) 23567.9 + 18794.8i 0.0658485 + 0.0525125i 0.655861 0.754882i \(-0.272306\pi\)
−0.590012 + 0.807394i \(0.700877\pi\)
\(72\) 460313. + 955851.i 1.23326 + 2.56090i
\(73\) −466171. 106400.i −1.19833 0.273511i −0.423627 0.905837i \(-0.639243\pi\)
−0.774703 + 0.632326i \(0.782100\pi\)
\(74\) 730819. 351944.i 1.80349 0.868517i
\(75\) −122924. + 98028.5i −0.291375 + 0.232364i
\(76\) 375763. 85765.4i 0.855998 0.195376i
\(77\) 20738.1 16538.1i 0.0454252 0.0362254i
\(78\) 73531.8 322164.i 0.154950 0.678880i
\(79\) −226642. −0.459684 −0.229842 0.973228i \(-0.573821\pi\)
−0.229842 + 0.973228i \(0.573821\pi\)
\(80\) 17225.4i 0.0336433i
\(81\) −71255.6 + 312191.i −0.134080 + 0.587442i
\(82\) −974179. 776882.i −1.76684 1.40901i
\(83\) −649105. 312592.i −1.13522 0.546694i −0.230659 0.973035i \(-0.574088\pi\)
−0.904562 + 0.426341i \(0.859802\pi\)
\(84\) −180842. + 87089.0i −0.305114 + 0.146935i
\(85\) 1374.70i 0.00223846i
\(86\) −378180. 1.16583e6i −0.594570 1.83291i
\(87\) 357439. 0.542806
\(88\) −169327. 351610.i −0.248472 0.515957i
\(89\) −467543. + 970862.i −0.663210 + 1.37717i 0.249425 + 0.968394i \(0.419759\pi\)
−0.912635 + 0.408776i \(0.865956\pi\)
\(90\) 6955.98 8722.52i 0.00954180 0.0119650i
\(91\) −238557. 54449.1i −0.316569 0.0722548i
\(92\) −2.95167e6 −3.79056
\(93\) 234497.i 0.291534i
\(94\) 2.74455e6 + 626426.i 3.30437 + 0.754200i
\(95\) −1595.63 2000.85i −0.00186106 0.00233370i
\(96\) 273532. + 1.19842e6i 0.309168 + 1.35456i
\(97\) −91309.4 114498.i −0.100046 0.125454i 0.729288 0.684207i \(-0.239851\pi\)
−0.829334 + 0.558753i \(0.811280\pi\)
\(98\) −698639. 1.45074e6i −0.742291 1.54138i
\(99\) 32254.4 141316.i 0.0332417 0.145641i
\(100\) 2.44417e6 1.17705e6i 2.44417 1.17705i
\(101\) 767188. 962023.i 0.744625 0.933730i −0.254822 0.966988i \(-0.582017\pi\)
0.999447 + 0.0332581i \(0.0105883\pi\)
\(102\) 41159.8 + 180333.i 0.0387858 + 0.169932i
\(103\) −787.998 3452.44i −0.000721130 0.00315948i 0.974566 0.224100i \(-0.0719443\pi\)
−0.975287 + 0.220941i \(0.929087\pi\)
\(104\) −1.56203e6 + 3.24359e6i −1.38864 + 2.88354i
\(105\) 1041.99 + 830.960i 0.000900111 + 0.000717815i
\(106\) −1.27531e6 + 1.01703e6i −1.07077 + 0.853914i
\(107\) 1.62781e6 + 783913.i 1.32878 + 0.639906i 0.957451 0.288595i \(-0.0931882\pi\)
0.371328 + 0.928502i \(0.378903\pi\)
\(108\) −1.02860e6 + 2.13591e6i −0.816534 + 1.69555i
\(109\) 565030. + 708526.i 0.436307 + 0.547112i 0.950566 0.310523i \(-0.100504\pi\)
−0.514259 + 0.857635i \(0.671933\pi\)
\(110\) −2558.76 + 3208.58i −0.00192243 + 0.00241066i
\(111\) 477083. + 229751.i 0.348839 + 0.167992i
\(112\) 1.67322e6 381901.i 1.19096 0.271830i
\(113\) −1.94947e6 + 444954.i −1.35108 + 0.308375i −0.835983 0.548756i \(-0.815102\pi\)
−0.515098 + 0.857131i \(0.672245\pi\)
\(114\) 269222. + 214698.i 0.181717 + 0.144915i
\(115\) 8503.58 + 17657.9i 0.00559124 + 0.0116103i
\(116\) −6.01275e6 1.37237e6i −3.85212 0.879220i
\(117\) −1.20474e6 + 580170.i −0.752201 + 0.362241i
\(118\) 505905. 403446.i 0.307909 0.245549i
\(119\) 133534. 30478.2i 0.0792409 0.0180862i
\(120\) 15330.6 12225.8i 0.00887190 0.00707510i
\(121\) 382345. 1.67516e6i 0.215824 0.945585i
\(122\) 6.16875e6 3.39717
\(123\) 813411.i 0.437114i
\(124\) −900342. + 3.94465e6i −0.472218 + 2.06892i
\(125\) −28167.3 22462.6i −0.0144216 0.0115009i
\(126\) 1.00150e6 + 482296.i 0.500654 + 0.241102i
\(127\) 1.76275e6 848894.i 0.860555 0.414422i 0.0490707 0.998795i \(-0.484374\pi\)
0.811485 + 0.584374i \(0.198660\pi\)
\(128\) 6.46956e6i 3.08493i
\(129\) 441096. 667531.i 0.205477 0.310958i
\(130\) 37858.6 0.0172320
\(131\) 654391. + 1.35886e6i 0.291087 + 0.604449i 0.994311 0.106520i \(-0.0339709\pi\)
−0.703223 + 0.710969i \(0.748257\pi\)
\(132\) 175064. 363524.i 0.0761158 0.158056i
\(133\) 158980. 199355.i 0.0675753 0.0847367i
\(134\) −2.40371e6 548632.i −0.999006 0.228017i
\(135\) 15741.0 0.00639782
\(136\) 2.01518e6i 0.801119i
\(137\) 2.24073e6 + 511431.i 0.871419 + 0.198896i 0.634772 0.772700i \(-0.281094\pi\)
0.236648 + 0.971596i \(0.423951\pi\)
\(138\) −1.64420e6 2.06176e6i −0.625628 0.784513i
\(139\) 184760. + 809484.i 0.0687959 + 0.301414i 0.997607 0.0691390i \(-0.0220252\pi\)
−0.928811 + 0.370553i \(0.879168\pi\)
\(140\) −14337.7 17978.9i −0.00522510 0.00655207i
\(141\) 797364. + 1.65574e6i 0.284446 + 0.590658i
\(142\) 103403. 453040.i 0.0361135 0.158224i
\(143\) 443163. 213416.i 0.151550 0.0729825i
\(144\) 5.84752e6 7.33255e6i 1.95832 2.45566i
\(145\) 9112.40 + 39924.0i 0.00298902 + 0.0130958i
\(146\) 1.64021e6 + 7.18622e6i 0.527036 + 2.30910i
\(147\) 456076. 947051.i 0.143577 0.298141i
\(148\) −7.14325e6 5.69655e6i −2.20349 1.75722i
\(149\) 3.00345e6 2.39517e6i 0.907949 0.724065i −0.0536395 0.998560i \(-0.517082\pi\)
0.961588 + 0.274495i \(0.0885108\pi\)
\(150\) 2.18368e6 + 1.05160e6i 0.647016 + 0.311586i
\(151\) −911094. + 1.89191e6i −0.264626 + 0.549501i −0.990367 0.138467i \(-0.955783\pi\)
0.725741 + 0.687968i \(0.241497\pi\)
\(152\) −2.33905e6 2.93307e6i −0.666052 0.835203i
\(153\) 466669. 585185.i 0.130297 0.163387i
\(154\) −368401. 177413.i −0.100869 0.0485761i
\(155\) 26192.1 5978.17i 0.00703356 0.00160536i
\(156\) −3.62877e6 + 828244.i −0.955842 + 0.218165i
\(157\) −5.46992e6 4.36211e6i −1.41345 1.12719i −0.973371 0.229235i \(-0.926378\pi\)
−0.440083 0.897957i \(-0.645051\pi\)
\(158\) 1.51590e6 + 3.14779e6i 0.384325 + 0.798058i
\(159\) −1.03815e6 236950.i −0.258266 0.0589476i
\(160\) −126884. + 61104.2i −0.0309776 + 0.0149180i
\(161\) −1.52670e6 + 1.21750e6i −0.365826 + 0.291737i
\(162\) 4.81256e6 1.09844e6i 1.13196 0.258362i
\(163\) −312394. + 249126.i −0.0721340 + 0.0575249i −0.658893 0.752237i \(-0.728975\pi\)
0.586759 + 0.809762i \(0.300404\pi\)
\(164\) −3.12305e6 + 1.36830e7i −0.708024 + 3.10206i
\(165\) −2679.07 −0.000596393
\(166\) 1.11061e7i 2.42793i
\(167\) −607628. + 2.66219e6i −0.130463 + 0.571597i 0.866865 + 0.498543i \(0.166132\pi\)
−0.997328 + 0.0730537i \(0.976726\pi\)
\(168\) 1.52747e6 + 1.21811e6i 0.322139 + 0.256897i
\(169\) 260648. + 125522.i 0.0540001 + 0.0260051i
\(170\) −19092.9 + 9194.66i −0.00388620 + 0.00187150i
\(171\) 1.39340e6i 0.278668i
\(172\) −9.98296e6 + 9.53548e6i −1.96189 + 1.87395i
\(173\) 4.38233e6 0.846382 0.423191 0.906040i \(-0.360910\pi\)
0.423191 + 0.906040i \(0.360910\pi\)
\(174\) −2.39073e6 4.96441e6i −0.453820 0.942366i
\(175\) 778695. 1.61698e6i 0.145296 0.301710i
\(176\) −2.15101e6 + 2.69728e6i −0.394553 + 0.494753i
\(177\) 411825. + 93996.3i 0.0742664 + 0.0169508i
\(178\) 1.66113e7 2.94539
\(179\) 7.85496e6i 1.36957i −0.728744 0.684786i \(-0.759896\pi\)
0.728744 0.684786i \(-0.240104\pi\)
\(180\) −122514. 27962.9i −0.0210071 0.00479474i
\(181\) −7.00741e6 8.78701e6i −1.18174 1.48185i −0.840444 0.541898i \(-0.817706\pi\)
−0.341295 0.939956i \(-0.610866\pi\)
\(182\) 839357. + 3.67746e6i 0.139230 + 0.610006i
\(183\) 2.51079e6 + 3.14843e6i 0.409692 + 0.513737i
\(184\) 1.24655e7 + 2.58848e7i 2.00104 + 4.15520i
\(185\) −13499.4 + 59144.8i −0.00213206 + 0.00934117i
\(186\) −3.25689e6 + 1.56844e6i −0.506133 + 0.243741i
\(187\) −171664. + 215260.i −0.0262516 + 0.0329185i
\(188\) −7.05591e6 3.09140e7i −1.06189 4.65244i
\(189\) 348992. + 1.52903e6i 0.0516928 + 0.226481i
\(190\) −17117.1 + 35544.1i −0.00249557 + 0.00518211i
\(191\) 252002. + 200965.i 0.0361662 + 0.0288416i 0.641406 0.767202i \(-0.278351\pi\)
−0.605240 + 0.796043i \(0.706923\pi\)
\(192\) 7.29198e6 5.81516e6i 1.03025 0.821596i
\(193\) −7.37076e6 3.54957e6i −1.02528 0.493747i −0.155834 0.987783i \(-0.549807\pi\)
−0.869441 + 0.494037i \(0.835521\pi\)
\(194\) −979525. + 2.03400e6i −0.134156 + 0.278578i
\(195\) 15409.1 + 19322.4i 0.00207814 + 0.00260590i
\(196\) −1.13081e7 + 1.41800e7i −1.50184 + 1.88325i
\(197\) −1.10934e7 5.34230e6i −1.45099 0.698762i −0.468227 0.883608i \(-0.655107\pi\)
−0.982767 + 0.184846i \(0.940821\pi\)
\(198\) −2.17844e6 + 497215.i −0.280640 + 0.0640543i
\(199\) 7.65792e6 1.74787e6i 0.971744 0.221794i 0.292954 0.956127i \(-0.405362\pi\)
0.678790 + 0.734332i \(0.262505\pi\)
\(200\) −2.06445e7 1.64634e7i −2.58056 2.05793i
\(201\) −698341. 1.45012e6i −0.0859962 0.178573i
\(202\) −1.84927e7 4.22084e6i −2.24360 0.512088i
\(203\) −3.67606e6 + 1.77030e6i −0.439435 + 0.211621i
\(204\) 1.62892e6 1.29902e6i 0.191870 0.153012i
\(205\) 90853.6 20736.7i 0.0105458 0.00240702i
\(206\) −42679.9 + 34036.1i −0.00488226 + 0.00389348i
\(207\) −2.37450e6 + 1.04034e7i −0.267708 + 1.17291i
\(208\) 3.18257e7 3.53662
\(209\) 512562.i 0.0561446i
\(210\) 4571.70 20029.9i 0.000493651 0.00216282i
\(211\) −3.12358e6 2.49097e6i −0.332510 0.265168i 0.442975 0.896534i \(-0.353923\pi\)
−0.775485 + 0.631366i \(0.782495\pi\)
\(212\) 1.65537e7 + 7.97184e6i 1.73735 + 0.836664i
\(213\) 273311. 131620.i 0.0282826 0.0136202i
\(214\) 2.78516e7i 2.84190i
\(215\) 85804.8 + 32250.3i 0.00863368 + 0.00324503i
\(216\) 2.30749e7 2.28970
\(217\) 1.16140e6 + 2.41167e6i 0.113659 + 0.236015i
\(218\) 6.06138e6 1.25866e7i 0.585062 1.21489i
\(219\) −3.00014e6 + 3.76206e6i −0.285634 + 0.358173i
\(220\) 45066.7 + 10286.2i 0.00423241 + 0.000966019i
\(221\) 2.53989e6 0.235309
\(222\) 8.16281e6i 0.746072i
\(223\) 1.47677e6 + 337062.i 0.133167 + 0.0303946i 0.288585 0.957454i \(-0.406815\pi\)
−0.155418 + 0.987849i \(0.549672\pi\)
\(224\) −8.74860e6 1.09704e7i −0.778385 0.976064i
\(225\) −2.18236e6 9.56156e6i −0.191593 0.839423i
\(226\) 1.92189e7 + 2.40998e7i 1.66496 + 2.08779i
\(227\) 4.26801e6 + 8.86262e6i 0.364878 + 0.757678i 0.999890 0.0148249i \(-0.00471908\pi\)
−0.635012 + 0.772502i \(0.719005\pi\)
\(228\) 863082. 3.78141e6i 0.0728194 0.319043i
\(229\) 4.89383e6 2.35674e6i 0.407514 0.196248i −0.218886 0.975750i \(-0.570242\pi\)
0.626399 + 0.779502i \(0.284528\pi\)
\(230\) 188371. 236209.i 0.0154821 0.0194139i
\(231\) −59397.2 260236.i −0.00481871 0.0211121i
\(232\) 1.33580e7 + 5.85251e7i 1.06974 + 4.68682i
\(233\) 184983. 384121.i 0.0146239 0.0303669i −0.893529 0.449006i \(-0.851778\pi\)
0.908153 + 0.418639i \(0.137493\pi\)
\(234\) 1.61158e7 + 1.28519e7i 1.25778 + 1.00304i
\(235\) −164610. + 131272.i −0.0126839 + 0.0101151i
\(236\) −6.56672e6 3.16236e6i −0.499588 0.240589i
\(237\) −989586. + 2.05490e6i −0.0743376 + 0.154364i
\(238\) −1.31645e6 1.65077e6i −0.0976499 0.122449i
\(239\) −1.22896e7 + 1.54106e7i −0.900208 + 1.12883i 0.0909120 + 0.995859i \(0.471022\pi\)
−0.991120 + 0.132967i \(0.957550\pi\)
\(240\) −156178. 75211.2i −0.0112976 0.00544062i
\(241\) −1.10439e7 + 2.52069e6i −0.788988 + 0.180081i −0.597984 0.801508i \(-0.704031\pi\)
−0.191004 + 0.981589i \(0.561174\pi\)
\(242\) −2.58233e7 + 5.89401e6i −1.82208 + 0.415877i
\(243\) 1.03011e7 + 8.21487e6i 0.717902 + 0.572508i
\(244\) −3.01476e7 6.26022e7i −2.07531 4.30943i
\(245\) 117408. + 26797.5i 0.00798358 + 0.00182220i
\(246\) −1.12973e7 + 5.44050e6i −0.758875 + 0.365455i
\(247\) 3.69679e6 2.94809e6i 0.245320 0.195636i
\(248\) 3.83952e7 8.76346e6i 2.51723 0.574541i
\(249\) −5.66837e6 + 4.52037e6i −0.367164 + 0.292803i
\(250\) −123583. + 541452.i −0.00790930 + 0.0346529i
\(251\) 3.04247e7 1.92400 0.962000 0.273050i \(-0.0880324\pi\)
0.962000 + 0.273050i \(0.0880324\pi\)
\(252\) 1.25205e7i 0.782386i
\(253\) 873461. 3.82688e6i 0.0539364 0.236311i
\(254\) −2.35803e7 1.88047e7i −1.43896 1.14753i
\(255\) −12464.0 6002.33i −0.000751685 0.000361992i
\(256\) −3.64126e7 + 1.75354e7i −2.17036 + 1.04519i
\(257\) 6.84569e6i 0.403290i −0.979459 0.201645i \(-0.935371\pi\)
0.979459 0.201645i \(-0.0646288\pi\)
\(258\) −1.22215e7 1.66152e6i −0.711648 0.0967488i
\(259\) −6.04443e6 −0.347901
\(260\) −185021. 384200.i −0.0105269 0.0218593i
\(261\) −9.67405e6 + 2.00884e7i −0.544110 + 1.12986i
\(262\) 1.44960e7 1.81774e7i 0.806018 1.01072i
\(263\) 2.94880e7 + 6.73044e6i 1.62098 + 0.369978i 0.934162 0.356850i \(-0.116149\pi\)
0.686819 + 0.726828i \(0.259006\pi\)
\(264\) −3.92728e6 −0.213442
\(265\) 121996.i 0.00655555i
\(266\) −3.83214e6 874662.i −0.203609 0.0464724i
\(267\) 6.76110e6 + 8.47815e6i 0.355208 + 0.445417i
\(268\) 6.17965e6 + 2.70748e7i 0.321040 + 1.40657i
\(269\) −2.76405e6 3.46601e6i −0.142000 0.178063i 0.705745 0.708465i \(-0.250612\pi\)
−0.847746 + 0.530403i \(0.822041\pi\)
\(270\) −105284. 218625.i −0.00534898 0.0111073i
\(271\) 3.42519e6 1.50068e7i 0.172099 0.754013i −0.813034 0.582216i \(-0.802186\pi\)
0.985132 0.171797i \(-0.0549572\pi\)
\(272\) −1.60504e7 + 7.72946e6i −0.797588 + 0.384098i
\(273\) −1.53529e6 + 1.92519e6i −0.0754573 + 0.0946205i
\(274\) −7.88393e6 3.45418e7i −0.383258 1.67916i
\(275\) 802783. + 3.51722e6i 0.0386012 + 0.169123i
\(276\) −1.28878e7 + 2.67619e7i −0.612990 + 1.27289i
\(277\) −6.74300e6 5.37736e6i −0.317259 0.253006i 0.451892 0.892073i \(-0.350749\pi\)
−0.769151 + 0.639067i \(0.779321\pi\)
\(278\) 1.00070e7 7.98033e6i 0.465769 0.371438i
\(279\) 1.31789e7 + 6.34664e6i 0.606831 + 0.292235i
\(280\) −97116.2 + 201664.i −0.00442402 + 0.00918658i
\(281\) 3.40085e6 + 4.26453e6i 0.153274 + 0.192200i 0.852540 0.522662i \(-0.175061\pi\)
−0.699266 + 0.714862i \(0.746490\pi\)
\(282\) 1.76632e7 2.21489e7i 0.787628 0.987654i
\(283\) 2.34453e7 + 1.12906e7i 1.03442 + 0.498149i 0.872479 0.488652i \(-0.162511\pi\)
0.161938 + 0.986801i \(0.448226\pi\)
\(284\) −5.10293e6 + 1.16471e6i −0.222774 + 0.0508467i
\(285\) −25108.2 + 5730.77i −0.00108463 + 0.000247559i
\(286\) −5.92819e6 4.72757e6i −0.253410 0.202088i
\(287\) 4.02860e6 + 8.36548e6i 0.170415 + 0.353871i
\(288\) −7.47556e7 1.70625e7i −3.12944 0.714273i
\(289\) 2.04663e7 9.85604e6i 0.847901 0.408328i
\(290\) 493550. 393593.i 0.0202366 0.0161381i
\(291\) −1.43681e6 + 327942.i −0.0583069 + 0.0133082i
\(292\) 6.49119e7 5.17655e7i 2.60721 2.07918i
\(293\) −3.43227e6 + 1.50377e7i −0.136451 + 0.597833i 0.859747 + 0.510720i \(0.170621\pi\)
−0.996198 + 0.0871127i \(0.972236\pi\)
\(294\) −1.62039e7 −0.637642
\(295\) 48394.9i 0.00188510i
\(296\) −1.97889e7 + 8.67010e7i −0.763040 + 3.34310i
\(297\) −2.46485e6 1.96565e6i −0.0940853 0.0750305i
\(298\) −5.33547e7 2.56943e7i −2.01615 0.970929i
\(299\) −3.26247e7 + 1.57112e7i −1.22049 + 0.587756i
\(300\) 2.72999e7i 1.01111i
\(301\) −1.23033e6 + 9.04981e6i −0.0451150 + 0.331849i
\(302\) 3.23702e7 1.17523
\(303\) −5.37261e6 1.11563e7i −0.193134 0.401046i
\(304\) −1.43895e7 + 2.98800e7i −0.512182 + 1.06356i
\(305\) −287654. + 360707.i −0.0101384 + 0.0127132i
\(306\) −1.12488e7 2.56748e6i −0.392594 0.0896070i
\(307\) −2.50492e7 −0.865724 −0.432862 0.901460i \(-0.642496\pi\)
−0.432862 + 0.901460i \(0.642496\pi\)
\(308\) 4.60568e6i 0.157631i
\(309\) −34742.9 7929.85i −0.00117758 0.000268775i
\(310\) −258216. 323792.i −0.00866758 0.0108688i
\(311\) 9.21445e6 + 4.03711e7i 0.306329 + 1.34212i 0.860389 + 0.509639i \(0.170221\pi\)
−0.554060 + 0.832477i \(0.686922\pi\)
\(312\) 2.25884e7 + 2.83250e7i 0.743741 + 0.932621i
\(313\) −1.13967e7 2.36655e7i −0.371661 0.771761i 0.628320 0.777955i \(-0.283743\pi\)
−0.999981 + 0.00619355i \(0.998029\pi\)
\(314\) −2.39991e7 + 1.05147e8i −0.775185 + 3.39631i
\(315\) −74902.1 + 36070.9i −0.00239642 + 0.00115405i
\(316\) 2.45363e7 3.07675e7i 0.777584 0.975059i
\(317\) 1.38147e6 + 6.05262e6i 0.0433675 + 0.190005i 0.991972 0.126459i \(-0.0403613\pi\)
−0.948604 + 0.316465i \(0.897504\pi\)
\(318\) 3.65269e6 + 1.60035e7i 0.113588 + 0.497661i
\(319\) 3.55861e6 7.38952e6i 0.109625 0.227638i
\(320\) 835421. + 666226.i 0.0254950 + 0.0203316i
\(321\) 1.42150e7 1.13361e7i 0.429766 0.342727i
\(322\) 2.71210e7 + 1.30608e7i 0.812339 + 0.391202i
\(323\) −1.14837e6 + 2.38462e6i −0.0340781 + 0.0707638i
\(324\) −3.46670e7 4.34710e7i −1.01925 1.27810i
\(325\) 2.07502e7 2.60199e7i 0.604465 0.757975i
\(326\) 5.54951e6 + 2.67250e6i 0.160178 + 0.0771375i
\(327\) 8.89109e6 2.02933e6i 0.254280 0.0580377i
\(328\) 1.33183e8 3.03982e7i 3.77423 0.861443i
\(329\) −1.64009e7 1.30793e7i −0.460553 0.367279i
\(330\) 17919.0 + 37209.2i 0.000498622 + 0.00103540i
\(331\) −1.67994e7 3.83435e6i −0.463243 0.105732i −0.0154719 0.999880i \(-0.504925\pi\)
−0.447771 + 0.894148i \(0.647782\pi\)
\(332\) 1.12708e8 5.42771e7i 3.07992 1.48321i
\(333\) −2.58244e7 + 2.05943e7i −0.699355 + 0.557717i
\(334\) 4.10389e7 9.36685e6i 1.10143 0.251394i
\(335\) 144167. 114970.i 0.00383471 0.00305808i
\(336\) 3.84318e6 1.68381e7i 0.101315 0.443889i
\(337\) −3.55032e7 −0.927637 −0.463818 0.885930i \(-0.653521\pi\)
−0.463818 + 0.885930i \(0.653521\pi\)
\(338\) 4.45965e6i 0.115492i
\(339\) −4.47770e6 + 1.96181e7i −0.114936 + 0.503567i
\(340\) 186620. + 148825.i 0.00474812 + 0.00378650i
\(341\) −4.84788e6 2.33462e6i −0.122261 0.0588779i
\(342\) −1.93527e7 + 9.31976e6i −0.483796 + 0.232984i
\(343\) 2.55132e7i 0.632241i
\(344\) 1.25782e8 + 4.72760e7i 3.08989 + 1.16136i
\(345\) 197228. 0.00480298
\(346\) −2.93112e7 6.08654e7i −0.707629 1.46941i
\(347\) 2.24218e7 4.65594e7i 0.536640 1.11434i −0.439709 0.898141i \(-0.644918\pi\)
0.976348 0.216204i \(-0.0693675\pi\)
\(348\) −3.86964e7 + 4.85237e7i −0.918190 + 1.15137i
\(349\) −2.04138e7 4.65931e6i −0.480228 0.109609i −0.0244474 0.999701i \(-0.507783\pi\)
−0.455780 + 0.890092i \(0.650640\pi\)
\(350\) −2.76662e7 −0.645276
\(351\) 2.90832e7i 0.672544i
\(352\) 2.74989e7 + 6.27644e6i 0.630503 + 0.143908i
\(353\) −4.15892e7 5.21512e7i −0.945489 1.18561i −0.982495 0.186290i \(-0.940353\pi\)
0.0370059 0.999315i \(-0.488218\pi\)
\(354\) −1.44899e6 6.34846e6i −0.0326630 0.143106i
\(355\) 21668.9 + 27172.0i 0.000484342 + 0.000607346i
\(356\) −8.11820e7 1.68576e8i −1.79933 3.73634i
\(357\) 306710. 1.34379e6i 0.00674099 0.0295342i
\(358\) −1.09096e8 + 5.25379e7i −2.37772 + 1.14505i
\(359\) 2.47703e7 3.10610e7i 0.535363 0.671324i −0.438429 0.898766i \(-0.644465\pi\)
0.973792 + 0.227442i \(0.0730363\pi\)
\(360\) 272177. + 1.19248e6i 0.00583369 + 0.0255591i
\(361\) −9.37228e6 4.10626e7i −0.199216 0.872821i
\(362\) −7.51722e7 + 1.56097e8i −1.58464 + 3.29055i
\(363\) −1.35188e7 1.07809e7i −0.282629 0.225389i
\(364\) 3.32179e7 2.64904e7i 0.688760 0.549267i
\(365\) −496686. 239192.i −0.0102142 0.00491889i
\(366\) 2.69346e7 5.59302e7i 0.549373 1.14078i
\(367\) −3.97723e7 4.98729e7i −0.804605 1.00894i −0.999604 0.0281390i \(-0.991042\pi\)
0.194999 0.980803i \(-0.437530\pi\)
\(368\) 1.58353e8 1.98569e8i 3.17748 3.98444i
\(369\) 4.57144e7 + 2.20149e7i 0.909858 + 0.438164i
\(370\) 911743. 208099.i 0.0179998 0.00410833i
\(371\) 1.18503e7 2.70476e6i 0.232064 0.0529672i
\(372\) 3.18339e7 + 2.53867e7i 0.618388 + 0.493148i
\(373\) 4.78277e6 + 9.93152e6i 0.0921622 + 0.191377i 0.941954 0.335741i \(-0.108987\pi\)
−0.849792 + 0.527118i \(0.823273\pi\)
\(374\) 4.13789e6 + 944447.i 0.0790978 + 0.0180536i
\(375\) −326649. + 157306.i −0.00619423 + 0.00298298i
\(376\) −2.41304e8 + 1.92433e8i −4.53942 + 3.62007i
\(377\) −7.37638e7 + 1.68361e7i −1.37664 + 0.314208i
\(378\) 1.89022e7 1.50740e7i 0.349976 0.279096i
\(379\) 1.77148e7 7.76136e7i 0.325401 1.42567i −0.502392 0.864640i \(-0.667546\pi\)
0.827793 0.561034i \(-0.189596\pi\)
\(380\) 444366. 0.00809823
\(381\) 1.96888e7i 0.355996i
\(382\) 1.10565e6 4.84416e6i 0.0198348 0.0869017i
\(383\) 2.45008e7 + 1.95387e7i 0.436098 + 0.347777i 0.816800 0.576921i \(-0.195746\pi\)
−0.380702 + 0.924698i \(0.624318\pi\)
\(384\) −5.86576e7 2.82480e7i −1.03593 0.498878i
\(385\) 27552.8 13268.7i 0.000482818 0.000232513i
\(386\) 1.26113e8i 2.19279i
\(387\) 2.55776e7 + 4.28566e7i 0.441293 + 0.739409i
\(388\) 2.54288e7 0.435341
\(389\) −3.91537e6 8.13034e6i −0.0665156 0.138121i 0.865060 0.501668i \(-0.167280\pi\)
−0.931576 + 0.363547i \(0.881566\pi\)
\(390\) 165302. 343253.i 0.00278666 0.00578656i
\(391\) 1.26376e7 1.58470e7i 0.211414 0.265105i
\(392\) 1.72109e8 + 3.92827e7i 2.85723 + 0.652144i
\(393\) 1.51776e7 0.250050
\(394\) 1.89806e8i 3.10328i
\(395\) −254749. 58144.8i −0.00413353 0.000943452i
\(396\) 1.56923e7 + 1.96775e7i 0.252697 + 0.316872i
\(397\) −1.37131e7 6.00809e7i −0.219161 0.960207i −0.958100 0.286435i \(-0.907530\pi\)
0.738939 0.673773i \(-0.235327\pi\)
\(398\) −7.54959e7 9.46689e7i −1.19750 1.50161i
\(399\) −1.11334e6 2.31187e6i −0.0175270 0.0363952i
\(400\) −5.19425e7 + 2.27575e8i −0.811602 + 3.55586i
\(401\) −1.24317e7 + 5.98679e6i −0.192796 + 0.0928455i −0.527791 0.849374i \(-0.676980\pi\)
0.334995 + 0.942220i \(0.391265\pi\)
\(402\) −1.54696e7 + 1.93983e7i −0.238123 + 0.298597i
\(403\) 1.10453e7 + 4.83926e7i 0.168757 + 0.739374i
\(404\) 4.75425e7 + 2.08297e8i 0.721004 + 3.15893i
\(405\) −160185. + 332627.i −0.00241133 + 0.00500717i
\(406\) 4.91747e7 + 3.92155e7i 0.734791 + 0.585976i
\(407\) 9.49952e6 7.57561e6i 0.140902 0.112366i
\(408\) −1.82711e7 8.79888e6i −0.269019 0.129553i
\(409\) −1.55172e7 + 3.22218e7i −0.226800 + 0.470956i −0.983052 0.183325i \(-0.941314\pi\)
0.756252 + 0.654280i \(0.227028\pi\)
\(410\) −895684. 1.12315e6i −0.0129958 0.0162962i
\(411\) 1.44207e7 1.80830e7i 0.207711 0.260462i
\(412\) 553991. + 266788.i 0.00792156 + 0.00381482i
\(413\) −4.70093e6 + 1.07296e6i −0.0667319 + 0.0152311i
\(414\) 1.60372e8 3.66040e7i 2.26011 0.515854i
\(415\) −649408. 517886.i −0.00908602 0.00724586i
\(416\) −1.12896e8 2.34432e8i −1.56820 3.25639i
\(417\) 8.14608e6 + 1.85929e6i 0.112342 + 0.0256412i
\(418\) 7.11889e6 3.42828e6i 0.0974728 0.0469404i
\(419\) 9.60288e7 7.65804e7i 1.30545 1.04106i 0.309521 0.950893i \(-0.399831\pi\)
0.995927 0.0901675i \(-0.0287402\pi\)
\(420\) −225612. + 51494.5i −0.00304519 + 0.000695045i
\(421\) 3.39158e7 2.70470e7i 0.454523 0.362470i −0.369306 0.929308i \(-0.620405\pi\)
0.823830 + 0.566837i \(0.191833\pi\)
\(422\) −1.37046e7 + 6.00436e7i −0.182359 + 0.798969i
\(423\) −1.14635e8 −1.51459
\(424\) 1.78836e8i 2.34615i
\(425\) −4.14534e6 + 1.81619e7i −0.0540000 + 0.236589i
\(426\) −3.65609e6 2.91563e6i −0.0472920 0.0377142i
\(427\) −4.14154e7 1.99446e7i −0.531959 0.256178i
\(428\) −2.82646e8 + 1.36115e8i −3.60505 + 1.73610i
\(429\) 4.94986e6i 0.0626933i
\(430\) −125987. 1.40743e6i −0.00158460 0.0177020i
\(431\) 2.44738e7 0.305682 0.152841 0.988251i \(-0.451158\pi\)
0.152841 + 0.988251i \(0.451158\pi\)
\(432\) −8.85067e7 1.83786e8i −1.09780 2.27961i
\(433\) −2.70297e7 + 5.61278e7i −0.332949 + 0.691376i −0.998487 0.0549881i \(-0.982488\pi\)
0.665538 + 0.746364i \(0.268202\pi\)
\(434\) 2.57273e7 3.22610e7i 0.314720 0.394647i
\(435\) 401767. + 91700.7i 0.00488098 + 0.00111405i
\(436\) −1.57355e8 −1.89855
\(437\) 3.77338e7i 0.452154i
\(438\) 7.23170e7 + 1.65059e7i 0.860634 + 0.196434i
\(439\) 9.68237e7 + 1.21413e8i 1.14443 + 1.43507i 0.882708 + 0.469921i \(0.155718\pi\)
0.261718 + 0.965144i \(0.415711\pi\)
\(440\) −100120. 438656.i −0.00117534 0.00514951i
\(441\) 4.08814e7 + 5.12637e7i 0.476662 + 0.597715i
\(442\) −1.69881e7 3.52761e7i −0.196733 0.408521i
\(443\) 4.17760e6 1.83033e7i 0.0480525 0.210532i −0.945202 0.326486i \(-0.894135\pi\)
0.993255 + 0.115954i \(0.0369926\pi\)
\(444\) −8.28386e7 + 3.98930e7i −0.946419 + 0.455772i
\(445\) −774599. + 971317.i −0.00879017 + 0.0110225i
\(446\) −5.19596e6 2.27650e7i −0.0585681 0.256604i
\(447\) −8.60237e6 3.76894e7i −0.0963153 0.421985i
\(448\) −4.61931e7 + 9.59209e7i −0.513740 + 1.06679i
\(449\) 6.54068e7 + 5.21602e7i 0.722577 + 0.576236i 0.914215 0.405230i \(-0.132809\pi\)
−0.191638 + 0.981466i \(0.561380\pi\)
\(450\) −1.18202e8 + 9.42630e7i −1.29714 + 1.03444i
\(451\) −1.68161e7 8.09818e6i −0.183313 0.0882791i
\(452\) 1.50646e8 3.12819e8i 1.63133 3.38749i
\(453\) 1.31753e7 + 1.65212e7i 0.141731 + 0.177725i
\(454\) 9.45447e7 1.18555e8i 1.01035 1.26693i
\(455\) −254173. 122403.i −0.00269833 0.00129945i
\(456\) −3.68063e7 + 8.40080e6i −0.388175 + 0.0885984i
\(457\) −829990. + 189440.i −0.00869610 + 0.00198483i −0.226867 0.973926i \(-0.572848\pi\)
0.218171 + 0.975911i \(0.429991\pi\)
\(458\) −6.54648e7 5.22064e7i −0.681414 0.543410i
\(459\) −7.06339e6 1.46673e7i −0.0730425 0.151674i
\(460\) −3.31772e6 757248.i −0.0340852 0.00777973i
\(461\) 6.66907e7 3.21166e7i 0.680711 0.327813i −0.0613779 0.998115i \(-0.519549\pi\)
0.742089 + 0.670301i \(0.233835\pi\)
\(462\) −3.21710e6 + 2.56555e6i −0.0326241 + 0.0260168i
\(463\) 1.79636e8 4.10008e7i 1.80988 0.413094i 0.822154 0.569265i \(-0.192772\pi\)
0.987730 + 0.156171i \(0.0499152\pi\)
\(464\) 4.14901e8 3.30872e8i 4.15327 3.31212i
\(465\) 60160.1 263579.i 0.000598342 0.00262151i
\(466\) −6.57224e6 −0.0649465
\(467\) 7.31844e7i 0.718568i 0.933228 + 0.359284i \(0.116979\pi\)
−0.933228 + 0.359284i \(0.883021\pi\)
\(468\) 5.16644e7 2.26357e8i 0.504027 2.20829i
\(469\) 1.43641e7 + 1.14550e7i 0.139239 + 0.111039i
\(470\) 2.92421e6 + 1.40823e6i 0.0281654 + 0.0135637i
\(471\) −6.34333e7 + 3.05479e7i −0.607092 + 0.292360i
\(472\) 7.09426e7i 0.674654i
\(473\) −9.40873e6 1.57648e7i −0.0889094 0.148972i
\(474\) 3.51590e7 0.330142
\(475\) 1.50473e7 + 3.12461e7i 0.140404 + 0.291551i
\(476\) −1.03188e7 + 2.14272e7i −0.0956773 + 0.198676i
\(477\) 4.14142e7 5.19317e7i 0.381587 0.478495i
\(478\) 2.96235e8 + 6.76136e7i 2.71239 + 0.619085i
\(479\) −8.57154e7 −0.779924 −0.389962 0.920831i \(-0.627512\pi\)
−0.389962 + 0.920831i \(0.627512\pi\)
\(480\) 1.41722e6i 0.0128149i
\(481\) −1.09276e8 2.49416e7i −0.981952 0.224124i
\(482\) 1.08876e8 + 1.36527e8i 0.972284 + 1.21921i
\(483\) 4.37271e6 + 1.91581e7i 0.0388069 + 0.170024i
\(484\) 1.86017e8 + 2.33258e8i 1.64065 + 2.05731i
\(485\) −73258.8 152123.i −0.000642147 0.00133343i
\(486\) 4.51958e7 1.98016e8i 0.393721 1.72501i
\(487\) −1.03846e8 + 5.00094e7i −0.899086 + 0.432977i −0.825559 0.564316i \(-0.809140\pi\)
−0.0735275 + 0.997293i \(0.523426\pi\)
\(488\) −4.21675e8 + 5.28764e8i −3.62843 + 4.54990i
\(489\) 894747. + 3.92014e6i 0.00765198 + 0.0335255i
\(490\) −413095. 1.80989e6i −0.00351125 0.0153838i
\(491\) −4.62842e7 + 9.61102e7i −0.391010 + 0.811942i 0.608816 + 0.793311i \(0.291645\pi\)
−0.999826 + 0.0186301i \(0.994069\pi\)
\(492\) 1.10424e8 + 8.80598e7i 0.927185 + 0.739405i
\(493\) 3.31117e7 2.64057e7i 0.276338 0.220372i
\(494\) −6.56715e7 3.16257e7i −0.544748 0.262337i
\(495\) 72508.8 150566.i 0.000597826 0.00124140i
\(496\) −2.17068e8 2.72195e8i −1.77890 2.23067i
\(497\) −2.15898e6 + 2.70727e6i −0.0175865 + 0.0220528i
\(498\) 1.00696e8 + 4.84924e7i 0.815309 + 0.392632i
\(499\) −2.21595e8 + 5.05777e7i −1.78344 + 0.407059i −0.981673 0.190576i \(-0.938965\pi\)
−0.801769 + 0.597634i \(0.796107\pi\)
\(500\) 6.09878e6 1.39201e6i 0.0487902 0.0111360i
\(501\) 2.14842e7 + 1.71331e7i 0.170847 + 0.136246i
\(502\) −2.03496e8 4.22563e8i −1.60859 3.34026i
\(503\) 1.00241e8 + 2.28794e7i 0.787667 + 0.179780i 0.597390 0.801951i \(-0.296204\pi\)
0.190277 + 0.981730i \(0.439061\pi\)
\(504\) −1.09800e8 + 5.28767e7i −0.857649 + 0.413022i
\(505\) 1.10914e6 884507.i 0.00861214 0.00686795i
\(506\) −5.89931e7 + 1.34648e7i −0.455354 + 0.103932i
\(507\) 2.27614e6 1.81516e6i 0.0174652 0.0139281i
\(508\) −7.55944e7 + 3.31201e8i −0.576632 + 2.52639i
\(509\) 1.33991e8 1.01607 0.508033 0.861337i \(-0.330373\pi\)
0.508033 + 0.861337i \(0.330373\pi\)
\(510\) 213256.i 0.00160765i
\(511\) 1.22223e7 5.35496e7i 0.0915992 0.401322i
\(512\) 1.63373e8 + 1.30286e8i 1.21722 + 0.970704i
\(513\) −2.73052e7 1.31495e7i −0.202252 0.0973996i
\(514\) −9.50786e7 + 4.57874e7i −0.700154 + 0.337176i
\(515\) 4082.76i 2.98904e-5i
\(516\) 4.28668e7 + 1.32147e8i 0.312013 + 0.961854i
\(517\) 4.21685e7 0.305152
\(518\) 4.04282e7 + 8.39500e7i 0.290867 + 0.603992i
\(519\) 1.91345e7 3.97333e7i 0.136872 0.284219i
\(520\) −2.58789e6 + 3.24511e6i −0.0184050 + 0.0230791i
\(521\) 1.47771e8 + 3.37279e7i 1.04491 + 0.238493i 0.710325 0.703874i \(-0.248548\pi\)
0.334581 + 0.942367i \(0.391405\pi\)
\(522\) 3.43709e8 2.41646
\(523\) 1.02568e8i 0.716980i −0.933534 0.358490i \(-0.883292\pi\)
0.933534 0.358490i \(-0.116708\pi\)
\(524\) −2.55314e8 5.82738e7i −1.77452 0.405023i
\(525\) −1.12607e7 1.41204e7i −0.0778190 0.0975819i
\(526\) −1.03753e8 4.54570e8i −0.712922 3.12352i
\(527\) −1.73234e7 2.17229e7i −0.118359 0.148418i
\(528\) 1.50635e7 + 3.12797e7i 0.102335 + 0.212501i
\(529\) −3.13614e7 + 1.37403e8i −0.211850 + 0.928175i
\(530\) −1.69439e6 + 815973.i −0.0113811 + 0.00548085i
\(531\) −1.64287e7 + 2.06009e7i −0.109728 + 0.137595i
\(532\) 9.85197e6 + 4.31643e7i 0.0654317 + 0.286675i
\(533\) 3.83133e7 + 1.67862e8i 0.253028 + 1.10859i
\(534\) 7.25299e7 1.50610e8i 0.476314 0.989076i
\(535\) 1.62857e6 + 1.29874e6i 0.0106352 + 0.00848130i
\(536\) 2.11337e8 1.68535e8i 1.37240 1.09445i
\(537\) −7.12186e7 3.42971e7i −0.459908 0.221480i
\(538\) −2.96515e7 + 6.15719e7i −0.190414 + 0.395399i
\(539\) −1.50382e7 1.88574e7i −0.0960353 0.120424i
\(540\) −1.70412e6 + 2.13691e6i −0.0108223 + 0.0135708i
\(541\) −1.13048e6 544410.i −0.00713955 0.00343823i 0.430311 0.902681i \(-0.358404\pi\)
−0.437450 + 0.899243i \(0.644118\pi\)
\(542\) −2.31336e8 + 5.28008e7i −1.45293 + 0.331622i
\(543\) −1.10266e8 + 2.51674e7i −0.688717 + 0.157195i
\(544\) 1.13872e8 + 9.08101e7i 0.707328 + 0.564076i
\(545\) 453331. + 941352.i 0.00280044 + 0.00581517i
\(546\) 3.70074e7 + 8.44669e6i 0.227358 + 0.0518930i
\(547\) −5.58408e7 + 2.68915e7i −0.341185 + 0.164306i −0.596628 0.802518i \(-0.703493\pi\)
0.255443 + 0.966824i \(0.417779\pi\)
\(548\) −3.12010e8 + 2.48819e8i −1.89595 + 1.51197i
\(549\) −2.44899e8 + 5.58966e7i −1.48003 + 0.337807i
\(550\) 4.34807e7 3.46747e7i 0.261341 0.208413i
\(551\) 1.75443e7 7.68665e7i 0.104877 0.459496i
\(552\) 2.89118e8 1.71893
\(553\) 2.60346e7i 0.153949i
\(554\) −2.95847e7 + 1.29619e8i −0.173995 + 0.762323i
\(555\) 477306. + 380639.i 0.00279202 + 0.00222656i
\(556\) −1.29893e8 6.25530e7i −0.755719 0.363935i
\(557\) 1.23337e8 5.93960e7i 0.713720 0.343710i −0.0415379 0.999137i \(-0.513226\pi\)
0.755258 + 0.655427i \(0.227511\pi\)
\(558\) 2.25490e8i 1.29785i
\(559\) −5.95858e7 + 1.58533e8i −0.341120 + 0.907580i
\(560\) 1.97870e6 0.0112672
\(561\) 1.20217e6 + 2.49632e6i 0.00680888 + 0.0141388i
\(562\) 3.64827e7 7.57572e7i 0.205531 0.426791i
\(563\) 4.69001e7 5.88108e7i 0.262814 0.329558i −0.632863 0.774264i \(-0.718120\pi\)
0.895677 + 0.444706i \(0.146692\pi\)
\(564\) −3.11096e8 7.10056e7i −1.73403 0.395782i
\(565\) −2.30539e6 −0.0127820
\(566\) 4.01144e8i 2.21234i
\(567\) −3.58617e7 8.18521e6i −0.196735 0.0449035i
\(568\) 3.17647e7 + 3.98317e7i 0.173340 + 0.217362i
\(569\) 2.22747e6 + 9.75918e6i 0.0120914 + 0.0529757i 0.980614 0.195951i \(-0.0627793\pi\)
−0.968522 + 0.248927i \(0.919922\pi\)
\(570\) 247530. + 310392.i 0.00133660 + 0.00167605i
\(571\) 2.60687e7 + 5.41323e7i 0.140027 + 0.290769i 0.959175 0.282813i \(-0.0912676\pi\)
−0.819148 + 0.573582i \(0.805553\pi\)
\(572\) −1.90048e7 + 8.32654e7i −0.101549 + 0.444914i
\(573\) 2.92240e6 1.40735e6i 0.0155337 0.00748066i
\(574\) 8.92413e7 1.11905e8i 0.471879 0.591717i
\(575\) −5.90993e7 2.58931e8i −0.310870 1.36201i
\(576\) 1.29460e8 + 5.67202e8i 0.677437 + 2.96805i
\(577\) 8.27096e7 1.71748e8i 0.430555 0.894056i −0.566970 0.823739i \(-0.691884\pi\)
0.997525 0.0703177i \(-0.0224013\pi\)
\(578\) −2.73778e8 2.18330e8i −1.41780 1.13066i
\(579\) −6.43659e7 + 5.13301e7i −0.331604 + 0.264446i
\(580\) −6.40635e6 3.08513e6i −0.0328342 0.0158121i
\(581\) 3.59078e7 7.45634e7i 0.183088 0.380187i
\(582\) 1.41648e7 + 1.77621e7i 0.0718526 + 0.0901003i
\(583\) −1.52342e7 + 1.91031e7i −0.0768803 + 0.0964048i
\(584\) −7.28097e8 3.50633e8i −3.65553 1.76041i
\(585\) −1.50298e6 + 343046.i −0.00750735 + 0.00171350i
\(586\) 2.31813e8 5.29099e7i 1.15198 0.262932i
\(587\) −8.83194e7 7.04324e7i −0.436658 0.348223i 0.380357 0.924840i \(-0.375801\pi\)
−0.817015 + 0.576616i \(0.804373\pi\)
\(588\) 7.91909e7 + 1.64442e8i 0.389532 + 0.808872i
\(589\) −5.04281e7 1.15099e7i −0.246790 0.0563281i
\(590\) 672149. 323690.i 0.00327272 0.00157606i
\(591\) −9.68741e7 + 7.72545e7i −0.469294 + 0.374250i
\(592\) 7.66453e8 1.74938e8i 3.69420 0.843177i
\(593\) −2.25368e8 + 1.79725e8i −1.08076 + 0.861876i −0.990970 0.134085i \(-0.957190\pi\)
−0.0897882 + 0.995961i \(0.528619\pi\)
\(594\) −1.08145e7 + 4.73812e7i −0.0515995 + 0.226072i
\(595\) 157913. 0.000749664
\(596\) 6.67031e8i 3.15070i
\(597\) 1.75893e7 7.70639e7i 0.0826659 0.362183i
\(598\) 4.36421e8 + 3.48035e8i 2.04081 + 1.62749i
\(599\) 2.97054e8 + 1.43054e8i 1.38215 + 0.665608i 0.969457 0.245263i \(-0.0788743\pi\)
0.412692 + 0.910871i \(0.364589\pi\)
\(600\) −2.39409e8 + 1.15293e8i −1.10837 + 0.533765i
\(601\) 2.36278e8i 1.08843i 0.838946 + 0.544214i \(0.183172\pi\)
−0.838946 + 0.544214i \(0.816828\pi\)
\(602\) 1.33920e8 4.34420e7i 0.613843 0.199122i
\(603\) 1.00399e8 0.457905
\(604\) −1.58198e8 3.28502e8i −0.717945 1.49083i
\(605\) 859523. 1.78482e6i 0.00388143 0.00805986i
\(606\) −1.19014e8 + 1.49239e8i −0.534785 + 0.670599i
\(607\) −2.32483e8 5.30627e7i −1.03950 0.237259i −0.331488 0.943459i \(-0.607551\pi\)
−0.708012 + 0.706200i \(0.750408\pi\)
\(608\) 2.71144e8 1.20640
\(609\) 4.10595e7i 0.181786i
\(610\) 6.93377e6 + 1.58259e6i 0.0305478 + 0.00697234i
\(611\) −2.42539e8 3.04134e8i −1.06331 1.33334i
\(612\) 2.89194e7 + 1.26704e8i 0.126164 + 0.552760i
\(613\) 1.09104e8 + 1.36812e8i 0.473653 + 0.593942i 0.960061 0.279790i \(-0.0902647\pi\)
−0.486408 + 0.873732i \(0.661693\pi\)
\(614\) 1.67542e8 + 3.47905e8i 0.723800 + 1.50299i
\(615\) 208680. 914286.i 0.000897130 0.00393058i
\(616\) 4.03899e7 1.94507e7i 0.172795 0.0832135i
\(617\) 4.96337e6 6.22386e6i 0.0211310 0.0264975i −0.771154 0.636649i \(-0.780320\pi\)
0.792285 + 0.610152i \(0.208891\pi\)
\(618\) 122242. + 535577.i 0.000517911 + 0.00226912i
\(619\) −5.78770e7 2.53576e8i −0.244025 1.06914i −0.937315 0.348484i \(-0.886697\pi\)
0.693290 0.720659i \(-0.256161\pi\)
\(620\) −2.02400e6 + 4.20287e6i −0.00849248 + 0.0176348i
\(621\) 1.81458e8 + 1.44708e8i 0.757705 + 0.604250i
\(622\) 4.99077e8 3.98001e8i 2.07394 1.65391i
\(623\) −1.11524e8 5.37072e7i −0.461216 0.222110i
\(624\) 1.38960e8 2.88554e8i 0.571923 1.18761i
\(625\) 1.52180e8 + 1.90828e8i 0.623331 + 0.781632i
\(626\) −2.52459e8 + 3.16574e8i −1.02913 + 1.29048i
\(627\) 4.64726e6 + 2.23800e6i 0.0188536 + 0.00907941i
\(628\) 1.18435e9 2.70319e8i 4.78189 1.09144i
\(629\) 6.11679e7 1.39612e7i 0.245794 0.0561009i
\(630\) 1.00197e6 + 799041.i 0.00400711 + 0.00319556i
\(631\) 1.18234e8 + 2.45516e8i 0.470603 + 0.977218i 0.992273 + 0.124070i \(0.0395949\pi\)
−0.521670 + 0.853147i \(0.674691\pi\)
\(632\) −3.73439e8 8.52351e7i −1.47934 0.337650i
\(633\) −3.62233e7 + 1.74442e7i −0.142816 + 0.0687767i
\(634\) 7.48238e7 5.96700e7i 0.293611 0.234147i
\(635\) 2.19914e6 501939.i 0.00858878 0.00196033i
\(636\) 1.44557e8 1.15280e8i 0.561911 0.448109i
\(637\) −4.95112e7 + 2.16923e8i −0.191551 + 0.839241i
\(638\) −1.26434e8 −0.486856
\(639\) 1.89226e7i 0.0725235i
\(640\) 1.65976e6 7.27188e6i 0.00633148 0.0277400i
\(641\) −1.76524e8 1.40773e8i −0.670240 0.534498i 0.228189 0.973617i \(-0.426719\pi\)
−0.898429 + 0.439118i \(0.855291\pi\)
\(642\) −2.52522e8 1.21608e8i −0.954322 0.459577i
\(643\) 2.04712e8 9.85839e7i 0.770033 0.370828i −0.00725462 0.999974i \(-0.502309\pi\)
0.777288 + 0.629145i \(0.216595\pi\)
\(644\) 3.39061e8i 1.26946i
\(645\) 667053. 637153.i 0.00248589 0.00237446i
\(646\) 4.08004e7 0.151345
\(647\) −8.74152e7 1.81520e8i −0.322756 0.670210i 0.674953 0.737861i \(-0.264164\pi\)
−0.997709 + 0.0676510i \(0.978450\pi\)
\(648\) −2.34816e8 + 4.87601e8i −0.862985 + 1.79201i
\(649\) 6.04329e6 7.57805e6i 0.0221075 0.0277219i
\(650\) −5.00173e8 1.14161e8i −1.82129 0.415699i
\(651\) 2.69370e7 0.0976351
\(652\) 6.93790e7i 0.250314i
\(653\) 3.13024e8 + 7.14456e7i 1.12418 + 0.256588i 0.743906 0.668284i \(-0.232971\pi\)
0.380278 + 0.924872i \(0.375828\pi\)
\(654\) −8.76531e7 1.09914e8i −0.313353 0.392933i
\(655\) 386932. + 1.69526e6i 0.00137693 + 0.00603271i
\(656\) −7.52954e8 9.44174e8i −2.66721 3.34457i
\(657\) −1.30232e8 2.70430e8i −0.459222 0.953584i
\(658\) −7.19583e7 + 3.15270e8i −0.252583 + 1.10664i
\(659\) 3.14354e8 1.51385e8i 1.09841 0.528964i 0.205249 0.978710i \(-0.434200\pi\)
0.893157 + 0.449746i \(0.148485\pi\)
\(660\) 290036. 363694.i 0.00100884 0.00126504i
\(661\) 6.04597e7 + 2.64891e8i 0.209345 + 0.917199i 0.965004 + 0.262234i \(0.0844593\pi\)
−0.755660 + 0.654965i \(0.772684\pi\)
\(662\) 5.91081e7 + 2.58970e8i 0.203739 + 0.892637i
\(663\) 1.10899e7 2.30285e7i 0.0380529 0.0790177i
\(664\) −9.51974e8 7.59174e8i −3.25178 2.59321i
\(665\) 229841. 183292.i 0.000781559 0.000623272i
\(666\) 4.58757e8 + 2.20926e8i 1.55296 + 0.747866i
\(667\) −2.61977e8 + 5.44002e8i −0.882849 + 1.83325i
\(668\) −2.95621e8 3.70697e8i −0.991758 1.24363i
\(669\) 9.50405e6 1.19177e7i 0.0317417 0.0398029i
\(670\) −2.56106e6 1.23334e6i −0.00851521 0.00410071i
\(671\) 9.00862e7 2.05616e7i 0.298188 0.0680595i
\(672\) −1.37664e8 + 3.14210e7i −0.453642 + 0.103541i
\(673\) −4.14595e7 3.30628e7i −0.136012 0.108466i 0.553120 0.833101i \(-0.313437\pi\)
−0.689133 + 0.724635i \(0.742008\pi\)
\(674\) 2.37463e8 + 4.93098e8i 0.775563 + 1.61047i
\(675\) −2.07964e8 4.74665e7i −0.676204 0.154339i
\(676\) −4.52578e7 + 2.17950e7i −0.146505 + 0.0705533i
\(677\) 2.34682e8 1.87153e8i 0.756335 0.603157i −0.167534 0.985866i \(-0.553580\pi\)
0.923869 + 0.382710i \(0.125009\pi\)
\(678\) 3.02421e8 6.90257e7i 0.970339 0.221473i
\(679\) 1.31526e7 1.04888e7i 0.0420147 0.0335056i
\(680\) 516993. 2.26509e6i 0.00164421 0.00720377i
\(681\) 9.89902e7 0.313437
\(682\) 8.29465e7i 0.261484i
\(683\) −1.08659e7 + 4.76065e7i −0.0341038 + 0.149419i −0.989113 0.147157i \(-0.952988\pi\)
0.955009 + 0.296576i \(0.0958448\pi\)
\(684\) 1.89159e8 + 1.50849e8i 0.591097 + 0.471384i
\(685\) 2.38740e6 + 1.14971e6i 0.00742770 + 0.00357699i
\(686\) 3.54348e8 1.70645e8i 1.09763 0.528593i
\(687\) 5.46612e7i 0.168581i
\(688\) −1.05911e8 1.18315e9i −0.325218 3.63309i
\(689\) 2.25401e8 0.689125
\(690\) −1.31916e6 2.73926e6i −0.00401560 0.00833847i
\(691\) 1.60332e8 3.32933e8i 0.485944 1.00907i −0.503478 0.864008i \(-0.667947\pi\)
0.989422 0.145065i \(-0.0463392\pi\)
\(692\) −4.74431e8 + 5.94917e8i −1.43171 + 1.79531i
\(693\) 1.62331e7 + 3.70510e6i 0.0487755 + 0.0111327i
\(694\) −7.96625e8 −2.38328
\(695\) 957273.i 0.00285155i
\(696\) 5.88955e8 + 1.34425e8i 1.74684 + 0.398706i
\(697\) −6.00905e7 7.53511e7i −0.177463 0.222531i
\(698\) 7.18253e7 + 3.14687e8i 0.211209 + 0.925365i
\(699\) −2.67502e6 3.35437e6i −0.00783241 0.00982154i
\(700\) 1.35209e8 + 2.80765e8i 0.394196 + 0.818556i
\(701\) 5.88728e7 2.57939e8i 0.170907 0.748794i −0.814719 0.579856i \(-0.803109\pi\)
0.985627 0.168939i \(-0.0540340\pi\)
\(702\) 4.03932e8 1.94523e8i 1.16761 0.562290i
\(703\) 7.28242e7 9.13187e7i 0.209609 0.262841i
\(704\) −4.76220e7 2.08646e8i −0.136487 0.597987i
\(705\) 471470. + 2.06565e6i 0.00134551 + 0.00589506i
\(706\) −4.46149e8 + 9.26439e8i −1.26785 + 2.63271i
\(707\) 1.10509e8 + 8.81277e7i 0.312707 + 0.249376i
\(708\) −5.73445e7 + 4.57307e7i −0.161582 + 0.128857i
\(709\) 3.66320e8 + 1.76411e8i 1.02783 + 0.494978i 0.870293 0.492535i \(-0.163929\pi\)
0.157540 + 0.987513i \(0.449644\pi\)
\(710\) 232454. 482696.i 0.000649474 0.00134865i
\(711\) −8.87039e7 1.11231e8i −0.246794 0.309469i
\(712\) −1.13549e9 + 1.42386e9i −3.14590 + 3.94483i
\(713\) 3.56891e8 + 1.71870e8i 0.984617 + 0.474167i
\(714\) −2.07150e7 + 4.72807e6i −0.0569104 + 0.0129894i
\(715\) 552873. 126190.i 0.00151254 0.000345228i
\(716\) 1.06634e9 + 8.50378e8i 2.90507 + 2.31672i
\(717\) 8.60639e7 + 1.78713e8i 0.233487 + 0.484841i
\(718\) −5.97077e8 1.36279e8i −1.61308 0.368176i
\(719\) −7.09078e7 + 3.41474e7i −0.190769 + 0.0918694i −0.526830 0.849971i \(-0.676619\pi\)
0.336061 + 0.941840i \(0.390905\pi\)
\(720\) 8.45386e6 6.74173e6i 0.0226495 0.0180623i
\(721\) 396586. 90518.2i 0.00105811 0.000241507i
\(722\) −5.07625e8 + 4.04818e8i −1.34875 + 1.07559i
\(723\) −2.53665e7 + 1.11138e8i −0.0671189 + 0.294067i
\(724\) 1.95149e9 5.14223
\(725\) 5.54939e8i 1.45623i
\(726\) −5.93131e7 + 2.59868e8i −0.155003 + 0.679114i
\(727\) −5.87787e8 4.68744e8i −1.52974 1.21992i −0.894043 0.447982i \(-0.852143\pi\)
−0.635693 0.771942i \(-0.719286\pi\)
\(728\) −3.72595e8 1.79432e8i −0.965701 0.465057i
\(729\) −9.08627e7 + 4.37572e7i −0.234532 + 0.112945i
\(730\) 8.49822e6i 0.0218454i
\(731\) −8.45234e6 9.44232e7i −0.0216384 0.241728i
\(732\) −6.99230e8 −1.78273
\(733\) 2.43406e8 + 5.05437e8i 0.618043 + 1.28338i 0.941460 + 0.337124i \(0.109454\pi\)
−0.323417 + 0.946257i \(0.604832\pi\)
\(734\) −4.26659e8 + 8.85966e8i −1.07893 + 2.24042i
\(735\) 755601. 947494.i 0.00190296 0.00238624i
\(736\) −2.02441e9 4.62059e8i −5.07768 1.15895i
\(737\) −3.69316e7 −0.0922563
\(738\) 7.82165e8i 1.94594i
\(739\) 1.08425e8 + 2.47472e7i 0.268655 + 0.0613187i 0.354726 0.934970i \(-0.384574\pi\)
−0.0860713 + 0.996289i \(0.527431\pi\)
\(740\) −6.56768e6 8.23561e6i −0.0162075 0.0203236i
\(741\) −1.05882e7 4.63899e7i −0.0260236 0.114017i
\(742\) −1.16827e8 1.46496e8i −0.285977 0.358604i
\(743\) −1.35249e8 2.80848e8i −0.329737 0.684706i 0.668522 0.743693i \(-0.266927\pi\)
−0.998259 + 0.0589864i \(0.981213\pi\)
\(744\) 8.81893e7 3.86382e8i 0.214140 0.938207i
\(745\) 3.99040e6 1.92168e6i 0.00965046 0.00464742i
\(746\) 1.05948e8 1.32854e8i 0.255197 0.320006i
\(747\) −1.00635e8 4.40910e8i −0.241428 1.05776i
\(748\) −1.06380e7 4.66082e7i −0.0254188 0.111367i
\(749\) −9.00490e7 + 1.86989e8i −0.214306 + 0.445010i
\(750\) 4.36959e6 + 3.48463e6i 0.0103575 + 0.00825986i
\(751\) 2.99306e8 2.38689e8i 0.706637 0.563524i −0.202874 0.979205i \(-0.565028\pi\)
0.909510 + 0.415681i \(0.136457\pi\)
\(752\) 2.45823e9 + 1.18382e9i 5.78054 + 2.78376i
\(753\) 1.32843e8 2.75852e8i 0.311139 0.646087i
\(754\) 7.27204e8 + 9.11885e8i 1.69645 + 2.12729i
\(755\) −1.50945e6 + 1.89279e6i −0.00350734 + 0.00439807i
\(756\) −2.45354e8 1.18156e8i −0.567842 0.273458i
\(757\) −5.14900e7 +