Properties

Label 43.7.h.a.19.17
Level $43$
Weight $7$
Character 43.19
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 19.17
Character \(\chi\) \(=\) 43.19
Dual form 43.7.h.a.34.17

$q$-expansion

\(f(q)\) \(=\) \(q+(7.29137 + 5.81467i) q^{2} +(-0.941423 - 6.24594i) q^{3} +(5.11231 + 22.3985i) q^{4} +(-69.5150 - 101.960i) q^{5} +(29.4538 - 51.0155i) q^{6} +(217.445 - 125.542i) q^{7} +(166.006 - 344.715i) q^{8} +(658.487 - 203.116i) q^{9} +O(q^{10})\) \(q+(7.29137 + 5.81467i) q^{2} +(-0.941423 - 6.24594i) q^{3} +(5.11231 + 22.3985i) q^{4} +(-69.5150 - 101.960i) q^{5} +(29.4538 - 51.0155i) q^{6} +(217.445 - 125.542i) q^{7} +(166.006 - 344.715i) q^{8} +(658.487 - 203.116i) q^{9} +(86.0032 - 1147.63i) q^{10} +(-25.7972 + 113.025i) q^{11} +(135.087 - 53.0176i) q^{12} +(-12.5106 - 166.942i) q^{13} +(2315.46 + 349.000i) q^{14} +(-571.391 + 530.173i) q^{15} +(4539.57 - 2186.14i) q^{16} +(-5416.15 - 3692.67i) q^{17} +(5982.33 + 2347.89i) q^{18} +(-760.111 + 2464.22i) q^{19} +(1928.36 - 2078.28i) q^{20} +(-988.837 - 1239.96i) q^{21} +(-845.301 + 674.105i) q^{22} +(12161.5 + 11284.2i) q^{23} +(-2309.35 - 712.339i) q^{24} +(144.998 - 369.448i) q^{25} +(879.494 - 1289.98i) q^{26} +(-3886.48 - 8070.36i) q^{27} +(3923.60 + 4228.64i) q^{28} +(-2233.98 + 14821.5i) q^{29} +(-7249.01 + 543.238i) q^{30} +(-12012.1 - 30606.3i) q^{31} +(21938.6 + 5007.35i) q^{32} +(730.234 + 54.7235i) q^{33} +(-18019.5 - 58417.8i) q^{34} +(-27916.0 - 13443.6i) q^{35} +(7915.89 + 13710.7i) q^{36} +(22040.2 + 12724.9i) q^{37} +(-19870.9 + 13547.7i) q^{38} +(-1030.93 + 235.303i) q^{39} +(-46686.9 + 7036.92i) q^{40} +(-24928.8 + 31259.7i) q^{41} -14790.8i q^{42} +(-17546.4 + 77546.7i) q^{43} -2663.47 q^{44} +(-66484.4 - 53019.5i) q^{45} +(23059.9 + 152993. i) q^{46} +(37323.8 + 163526. i) q^{47} +(-17928.2 - 26295.8i) q^{48} +(-27302.8 + 47289.8i) q^{49} +(3205.45 - 1850.67i) q^{50} +(-17965.3 + 37305.3i) q^{51} +(3675.29 - 1133.68i) q^{52} +(16034.0 - 213959. i) q^{53} +(18588.7 - 81442.6i) q^{54} +(13317.3 - 5226.66i) q^{55} +(-7179.02 - 95797.4i) q^{56} +(16106.9 + 2427.73i) q^{57} +(-102471. + 95078.9i) q^{58} +(-20404.6 + 9826.32i) q^{59} +(-14796.2 - 10087.9i) q^{60} +(313567. + 123066. i) q^{61} +(90381.0 - 293008. i) q^{62} +(117685. - 126835. i) q^{63} +(-70208.1 - 88038.2i) q^{64} +(-16151.7 + 12880.5i) q^{65} +(5006.21 + 4645.08i) q^{66} +(306550. + 94558.3i) q^{67} +(55021.1 - 140192. i) q^{68} +(59031.4 - 86583.2i) q^{69} +(-125375. - 260345. i) q^{70} +(54311.6 + 58534.0i) q^{71} +(39295.5 - 260709. i) q^{72} +(260902. - 19551.9i) q^{73} +(86712.2 + 220939. i) q^{74} +(-2444.05 - 557.839i) q^{75} +(-59080.7 - 4427.49i) q^{76} +(8579.93 + 27815.4i) q^{77} +(-8885.12 - 4278.85i) q^{78} +(184095. + 318862. i) q^{79} +(-538466. - 310884. i) q^{80} +(368317. - 251115. i) q^{81} +(-363530. + 82973.3i) q^{82} +(49411.7 - 7447.62i) q^{83} +(22718.0 - 28487.5i) q^{84} +808925. i q^{85} +(-578846. + 463395. i) q^{86} +94677.0 q^{87} +(34678.9 + 27655.5i) q^{88} +(-25657.2 - 170225. i) q^{89} +(-176471. - 773170. i) q^{90} +(-23678.6 - 34730.2i) q^{91} +(-190576. + 330088. i) q^{92} +(-179856. + 103840. i) q^{93} +(-678710. + 1.40936e6i) q^{94} +(304090. - 93799.4i) q^{95} +(10622.0 - 141741. i) q^{96} +(-276235. + 1.21027e6i) q^{97} +(-474050. + 186051. i) q^{98} +(5970.10 + 79665.4i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{19}{42}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.29137 + 5.81467i 0.911421 + 0.726834i 0.962334 0.271869i \(-0.0876417\pi\)
−0.0509131 + 0.998703i \(0.516213\pi\)
\(3\) −0.941423 6.24594i −0.0348675 0.231331i 0.964609 0.263685i \(-0.0849378\pi\)
−0.999476 + 0.0323536i \(0.989700\pi\)
\(4\) 5.11231 + 22.3985i 0.0798798 + 0.349976i
\(5\) −69.5150 101.960i −0.556120 0.815678i 0.440507 0.897749i \(-0.354799\pi\)
−0.996626 + 0.0820715i \(0.973846\pi\)
\(6\) 29.4538 51.0155i 0.136360 0.236183i
\(7\) 217.445 125.542i 0.633952 0.366012i −0.148329 0.988938i \(-0.547389\pi\)
0.782281 + 0.622926i \(0.214056\pi\)
\(8\) 166.006 344.715i 0.324230 0.673271i
\(9\) 658.487 203.116i 0.903275 0.278623i
\(10\) 86.0032 1147.63i 0.0860032 1.14763i
\(11\) −25.7972 + 113.025i −0.0193819 + 0.0849174i −0.983694 0.179851i \(-0.942438\pi\)
0.964312 + 0.264769i \(0.0852956\pi\)
\(12\) 135.087 53.0176i 0.0781751 0.0306815i
\(13\) −12.5106 166.942i −0.00569439 0.0759864i 0.993633 0.112669i \(-0.0359400\pi\)
−0.999327 + 0.0366826i \(0.988321\pi\)
\(14\) 2315.46 + 349.000i 0.843827 + 0.127187i
\(15\) −571.391 + 530.173i −0.169301 + 0.157088i
\(16\) 4539.57 2186.14i 1.10829 0.533726i
\(17\) −5416.15 3692.67i −1.10241 0.751612i −0.131564 0.991308i \(-0.542000\pi\)
−0.970848 + 0.239696i \(0.922952\pi\)
\(18\) 5982.33 + 2347.89i 1.02578 + 0.402588i
\(19\) −760.111 + 2464.22i −0.110820 + 0.359268i −0.993946 0.109866i \(-0.964958\pi\)
0.883127 + 0.469134i \(0.155434\pi\)
\(20\) 1928.36 2078.28i 0.241045 0.259785i
\(21\) −988.837 1239.96i −0.106774 0.133891i
\(22\) −845.301 + 674.105i −0.0793859 + 0.0633082i
\(23\) 12161.5 + 11284.2i 0.999548 + 0.927445i 0.997365 0.0725524i \(-0.0231145\pi\)
0.00218357 + 0.999998i \(0.499305\pi\)
\(24\) −2309.35 712.339i −0.167053 0.0515292i
\(25\) 144.998 369.448i 0.00927985 0.0236447i
\(26\) 879.494 1289.98i 0.0500395 0.0733945i
\(27\) −3886.48 8070.36i −0.197454 0.410017i
\(28\) 3923.60 + 4228.64i 0.178736 + 0.192631i
\(29\) −2233.98 + 14821.5i −0.0915977 + 0.607711i 0.895189 + 0.445687i \(0.147040\pi\)
−0.986787 + 0.162024i \(0.948198\pi\)
\(30\) −7249.01 + 543.238i −0.268482 + 0.0201199i
\(31\) −12012.1 30606.3i −0.403212 1.02737i −0.977915 0.209005i \(-0.932978\pi\)
0.574703 0.818362i \(-0.305118\pi\)
\(32\) 21938.6 + 5007.35i 0.669513 + 0.152812i
\(33\) 730.234 + 54.7235i 0.0203198 + 0.00152276i
\(34\) −18019.5 58417.8i −0.458465 1.48631i
\(35\) −27916.0 13443.6i −0.651101 0.313554i
\(36\) 7915.89 + 13710.7i 0.169665 + 0.293868i
\(37\) 22040.2 + 12724.9i 0.435122 + 0.251218i 0.701526 0.712643i \(-0.252502\pi\)
−0.266404 + 0.963861i \(0.585836\pi\)
\(38\) −19870.9 + 13547.7i −0.362132 + 0.246897i
\(39\) −1030.93 + 235.303i −0.0173795 + 0.00396675i
\(40\) −46686.9 + 7036.92i −0.729483 + 0.109952i
\(41\) −24928.8 + 31259.7i −0.361701 + 0.453559i −0.929069 0.369905i \(-0.879390\pi\)
0.567369 + 0.823464i \(0.307962\pi\)
\(42\) 14790.8i 0.199638i
\(43\) −17546.4 + 77546.7i −0.220690 + 0.975344i
\(44\) −2663.47 −0.0312673
\(45\) −66484.4 53019.5i −0.729596 0.581833i
\(46\) 23059.9 + 152993.i 0.236911 + 1.57180i
\(47\) 37323.8 + 163526.i 0.359494 + 1.57505i 0.754456 + 0.656350i \(0.227901\pi\)
−0.394962 + 0.918698i \(0.629242\pi\)
\(48\) −17928.2 26295.8i −0.162111 0.237773i
\(49\) −27302.8 + 47289.8i −0.232070 + 0.401957i
\(50\) 3205.45 1850.67i 0.0256436 0.0148054i
\(51\) −17965.3 + 37305.3i −0.135433 + 0.281229i
\(52\) 3675.29 1133.68i 0.0261386 0.00806268i
\(53\) 16034.0 213959.i 0.107700 1.43715i −0.637571 0.770391i \(-0.720061\pi\)
0.745271 0.666761i \(-0.232320\pi\)
\(54\) 18588.7 81442.6i 0.118051 0.517214i
\(55\) 13317.3 5226.66i 0.0800439 0.0314149i
\(56\) −7179.02 95797.4i −0.0408791 0.545493i
\(57\) 16106.9 + 2427.73i 0.0869739 + 0.0131092i
\(58\) −102471. + 95078.9i −0.525189 + 0.487304i
\(59\) −20404.6 + 9826.32i −0.0993508 + 0.0478448i −0.482899 0.875676i \(-0.660416\pi\)
0.383548 + 0.923521i \(0.374702\pi\)
\(60\) −14796.2 10087.9i −0.0685009 0.0467031i
\(61\) 313567. + 123066.i 1.38147 + 0.542187i 0.935648 0.352935i \(-0.114816\pi\)
0.445821 + 0.895122i \(0.352912\pi\)
\(62\) 90381.0 293008.i 0.379230 1.22943i
\(63\) 117685. 126835.i 0.470653 0.507243i
\(64\) −70208.1 88038.2i −0.267823 0.335839i
\(65\) −16151.7 + 12880.5i −0.0588136 + 0.0469023i
\(66\) 5006.21 + 4645.08i 0.0174131 + 0.0161570i
\(67\) 306550. + 94558.3i 1.01924 + 0.314395i 0.758960 0.651138i \(-0.225708\pi\)
0.260283 + 0.965532i \(0.416184\pi\)
\(68\) 55021.1 140192.i 0.174986 0.445857i
\(69\) 59031.4 86583.2i 0.179695 0.263564i
\(70\) −125375. 260345.i −0.365526 0.759022i
\(71\) 54311.6 + 58534.0i 0.151746 + 0.163543i 0.804350 0.594156i \(-0.202514\pi\)
−0.652604 + 0.757699i \(0.726323\pi\)
\(72\) 39295.5 260709.i 0.105280 0.698486i
\(73\) 260902. 19551.9i 0.670671 0.0502598i 0.264957 0.964260i \(-0.414642\pi\)
0.405714 + 0.914000i \(0.367023\pi\)
\(74\) 86712.2 + 220939.i 0.213986 + 0.545227i
\(75\) −2444.05 557.839i −0.00579331 0.00132229i
\(76\) −59080.7 4427.49i −0.134588 0.0100859i
\(77\) 8579.93 + 27815.4i 0.0187937 + 0.0609276i
\(78\) −8885.12 4278.85i −0.0187232 0.00901660i
\(79\) 184095. + 318862.i 0.373388 + 0.646727i 0.990084 0.140474i \(-0.0448626\pi\)
−0.616696 + 0.787201i \(0.711529\pi\)
\(80\) −538466. 310884.i −1.05169 0.607195i
\(81\) 368317. 251115.i 0.693054 0.472516i
\(82\) −363530. + 82973.3i −0.659324 + 0.150486i
\(83\) 49411.7 7447.62i 0.0864163 0.0130252i −0.105692 0.994399i \(-0.533706\pi\)
0.192108 + 0.981374i \(0.438468\pi\)
\(84\) 22718.0 28487.5i 0.0383295 0.0480636i
\(85\) 808925.i 1.31720i
\(86\) −578846. + 463395.i −0.910055 + 0.728544i
\(87\) 94677.0 0.143776
\(88\) 34678.9 + 27655.5i 0.0508882 + 0.0405820i
\(89\) −25657.2 170225.i −0.0363948 0.241464i 0.963235 0.268659i \(-0.0865805\pi\)
−0.999630 + 0.0271953i \(0.991342\pi\)
\(90\) −176471. 773170.i −0.242073 1.06059i
\(91\) −23678.6 34730.2i −0.0314219 0.0460875i
\(92\) −190576. + 330088.i −0.244740 + 0.423902i
\(93\) −179856. + 103840.i −0.223603 + 0.129097i
\(94\) −678710. + 1.40936e6i −0.817148 + 1.69682i
\(95\) 304090. 93799.4i 0.354676 0.109403i
\(96\) 10622.0 141741.i 0.0120059 0.160207i
\(97\) −276235. + 1.21027e6i −0.302666 + 1.32607i 0.563419 + 0.826171i \(0.309486\pi\)
−0.866085 + 0.499896i \(0.833371\pi\)
\(98\) −474050. + 186051.i −0.503670 + 0.197676i
\(99\) 5970.10 + 79665.4i 0.00615284 + 0.0821040i
\(100\) 9016.35 + 1359.00i 0.00901635 + 0.00135900i
\(101\) −394739. + 366264.i −0.383129 + 0.355492i −0.848102 0.529833i \(-0.822255\pi\)
0.464973 + 0.885325i \(0.346064\pi\)
\(102\) −347910. + 167544.i −0.327843 + 0.157881i
\(103\) −161692. 110239.i −0.147971 0.100885i 0.487072 0.873362i \(-0.338065\pi\)
−0.635042 + 0.772477i \(0.719017\pi\)
\(104\) −59624.2 23400.8i −0.0530057 0.0208032i
\(105\) −57687.3 + 187017.i −0.0498324 + 0.161553i
\(106\) 1.36101e6 1.46682e6i 1.14273 1.23157i
\(107\) −158275. 198471.i −0.129200 0.162011i 0.713024 0.701140i \(-0.247325\pi\)
−0.842224 + 0.539129i \(0.818754\pi\)
\(108\) 160895. 128309.i 0.127724 0.101856i
\(109\) −880905. 817360.i −0.680220 0.631152i 0.262424 0.964953i \(-0.415478\pi\)
−0.942644 + 0.333801i \(0.891669\pi\)
\(110\) 127493. + 39326.3i 0.0957872 + 0.0295464i
\(111\) 58730.0 149642.i 0.0429428 0.109417i
\(112\) 712656. 1.04527e6i 0.507254 0.744005i
\(113\) 34357.3 + 71343.6i 0.0238113 + 0.0494447i 0.912535 0.408998i \(-0.134122\pi\)
−0.888724 + 0.458443i \(0.848407\pi\)
\(114\) 103325. + 111358.i 0.0697416 + 0.0751636i
\(115\) 305130. 2.02441e6i 0.200628 1.33108i
\(116\) −343399. + 25734.2i −0.220001 + 0.0164868i
\(117\) −42146.7 107388.i −0.0263152 0.0670500i
\(118\) −205914. 46998.5i −0.125326 0.0286048i
\(119\) −1.64130e6 122999.i −0.973975 0.0729894i
\(120\) 87904.3 + 284979.i 0.0508705 + 0.164918i
\(121\) 1.58401e6 + 762820.i 0.894134 + 0.430592i
\(122\) 1.57075e6 + 2.72061e6i 0.865020 + 1.49826i
\(123\) 218715. + 126275.i 0.117534 + 0.0678582i
\(124\) 624125. 425521.i 0.327346 0.223180i
\(125\) −1.92757e6 + 439954.i −0.986914 + 0.225257i
\(126\) 1.59559e6 240496.i 0.797645 0.120226i
\(127\) 864416. 1.08394e6i 0.421999 0.529170i −0.524701 0.851287i \(-0.675823\pi\)
0.946700 + 0.322116i \(0.104394\pi\)
\(128\) 2.49034e6i 1.18748i
\(129\) 500870. + 36589.4i 0.233322 + 0.0170446i
\(130\) −192664. −0.0876942
\(131\) −762399. 607993.i −0.339132 0.270449i 0.439083 0.898446i \(-0.355303\pi\)
−0.778215 + 0.627998i \(0.783875\pi\)
\(132\) 2507.46 + 16635.9i 0.00109021 + 0.00723310i
\(133\) 144081. + 631260.i 0.0612423 + 0.268320i
\(134\) 1.68535e6 + 2.47195e6i 0.700447 + 1.02737i
\(135\) −552683. + 957275.i −0.224634 + 0.389077i
\(136\) −2.17203e6 + 1.25402e6i −0.863473 + 0.498527i
\(137\) −303464. + 630150.i −0.118017 + 0.245065i −0.951606 0.307320i \(-0.900568\pi\)
0.833589 + 0.552385i \(0.186282\pi\)
\(138\) 933873. 288062.i 0.355345 0.109610i
\(139\) 236359. 3.15400e6i 0.0880093 1.17440i −0.761979 0.647601i \(-0.775772\pi\)
0.849989 0.526801i \(-0.176609\pi\)
\(140\) 158402. 694003.i 0.0577266 0.252917i
\(141\) 986237. 387069.i 0.351823 0.138080i
\(142\) 55650.0 + 742597.i 0.0194357 + 0.259351i
\(143\) 19191.4 + 2892.64i 0.00656294 + 0.000989204i
\(144\) 2.54521e6 2.36161e6i 0.852384 0.790897i
\(145\) 1.66649e6 802538.i 0.546636 0.263246i
\(146\) 2.01602e6 + 1.37450e6i 0.647794 + 0.441659i
\(147\) 321073. + 126012.i 0.101077 + 0.0396697i
\(148\) −172343. + 558722.i −0.0531628 + 0.172350i
\(149\) −1.55362e6 + 1.67440e6i −0.469661 + 0.506174i −0.922807 0.385262i \(-0.874111\pi\)
0.453146 + 0.891436i \(0.350302\pi\)
\(150\) −14576.8 18278.8i −0.00431907 0.00541594i
\(151\) −147238. + 117418.i −0.0427650 + 0.0341039i −0.644639 0.764487i \(-0.722992\pi\)
0.601874 + 0.798591i \(0.294421\pi\)
\(152\) 723270. + 671096.i 0.205954 + 0.191097i
\(153\) −4.31651e6 1.33147e6i −1.20520 0.371754i
\(154\) −99178.3 + 252702.i −0.0271553 + 0.0691906i
\(155\) −2.28559e6 + 3.35234e6i −0.613766 + 0.900230i
\(156\) −10540.9 21888.4i −0.00277653 0.00576553i
\(157\) −1.71619e6 1.84962e6i −0.443473 0.477950i 0.471268 0.881990i \(-0.343796\pi\)
−0.914742 + 0.404039i \(0.867606\pi\)
\(158\) −511773. + 3.39539e6i −0.129750 + 0.860832i
\(159\) −1.35147e6 + 101279.i −0.336213 + 0.0251957i
\(160\) −1.01451e6 2.58494e6i −0.247684 0.631089i
\(161\) 4.06111e6 + 926922.i 0.973122 + 0.222109i
\(162\) 4.14569e6 + 310676.i 0.975105 + 0.0730740i
\(163\) −2.23016e6 7.23001e6i −0.514960 1.66946i −0.722609 0.691257i \(-0.757057\pi\)
0.207648 0.978204i \(-0.433419\pi\)
\(164\) −827614. 398558.i −0.187627 0.0903565i
\(165\) −45182.6 78258.5i −0.0100582 0.0174213i
\(166\) 403585. + 233010.i 0.0882288 + 0.0509389i
\(167\) 5.09298e6 3.47233e6i 1.09351 0.745542i 0.124414 0.992230i \(-0.460295\pi\)
0.969095 + 0.246689i \(0.0793426\pi\)
\(168\) −591586. + 135026.i −0.124764 + 0.0284766i
\(169\) 4.74518e6 715221.i 0.983089 0.148177i
\(170\) −4.70363e6 + 5.89817e6i −0.957386 + 1.20052i
\(171\) 1.77705e6i 0.355395i
\(172\) −1.82663e6 + 3429.94i −0.358976 + 0.000674063i
\(173\) −8.96224e6 −1.73092 −0.865462 0.500974i \(-0.832975\pi\)
−0.865462 + 0.500974i \(0.832975\pi\)
\(174\) 690325. + 550516.i 0.131041 + 0.104501i
\(175\) −14852.2 98538.2i −0.00277126 0.0183861i
\(176\) 129980. + 569482.i 0.0238419 + 0.104458i
\(177\) 80583.9 + 118195.i 0.0145321 + 0.0213147i
\(178\) 802724. 1.39036e6i 0.142333 0.246528i
\(179\) −6.55550e6 + 3.78482e6i −1.14300 + 0.659912i −0.947172 0.320726i \(-0.896073\pi\)
−0.195829 + 0.980638i \(0.562740\pi\)
\(180\) 847668. 1.76020e6i 0.145348 0.301818i
\(181\) −1.89370e6 + 584130.i −0.319357 + 0.0985085i −0.450289 0.892883i \(-0.648679\pi\)
0.130933 + 0.991391i \(0.458203\pi\)
\(182\) 29295.0 390914.i 0.00485936 0.0648436i
\(183\) 473463. 2.07438e6i 0.0772561 0.338481i
\(184\) 5.90872e6 2.31900e6i 0.948505 0.372261i
\(185\) −234695. 3.13179e6i −0.0370672 0.494627i
\(186\) −1.91520e6 288669.i −0.297629 0.0448603i
\(187\) 557086. 516900.i 0.0851918 0.0790464i
\(188\) −3.47193e6 + 1.67199e6i −0.522513 + 0.251629i
\(189\) −1.85827e6 1.26695e6i −0.275247 0.187660i
\(190\) 2.76265e6 + 1.08426e6i 0.402777 + 0.158078i
\(191\) 149578. 484921.i 0.0214669 0.0695939i −0.944206 0.329357i \(-0.893168\pi\)
0.965672 + 0.259763i \(0.0836444\pi\)
\(192\) −483786. + 521397.i −0.0683517 + 0.0736656i
\(193\) 3.64764e6 + 4.57400e6i 0.507388 + 0.636245i 0.967878 0.251420i \(-0.0808976\pi\)
−0.460490 + 0.887665i \(0.652326\pi\)
\(194\) −9.05144e6 + 7.21828e6i −1.23969 + 0.988618i
\(195\) 95656.7 + 88756.4i 0.0129006 + 0.0119701i
\(196\) −1.19880e6 369781.i −0.159213 0.0491107i
\(197\) −5.09619e6 + 1.29849e7i −0.666572 + 1.69840i 0.0480103 + 0.998847i \(0.484712\pi\)
−0.714582 + 0.699551i \(0.753383\pi\)
\(198\) −419698. + 615584.i −0.0540682 + 0.0793034i
\(199\) 372288. + 773064.i 0.0472411 + 0.0980972i 0.923253 0.384192i \(-0.125520\pi\)
−0.876012 + 0.482289i \(0.839806\pi\)
\(200\) −103284. 111313.i −0.0129105 0.0139142i
\(201\) 302011. 2.00371e6i 0.0371908 0.246745i
\(202\) −5.00789e6 + 375289.i −0.607576 + 0.0455315i
\(203\) 1.37495e6 + 3.50332e6i 0.164361 + 0.418785i
\(204\) −927426. 211679.i −0.109242 0.0249337i
\(205\) 4.92016e6 + 368715.i 0.571107 + 0.0427985i
\(206\) −537947. 1.74398e6i −0.0615372 0.199499i
\(207\) 1.03002e7 + 4.96032e6i 1.16127 + 0.559240i
\(208\) −421752. 730495.i −0.0468669 0.0811759i
\(209\) −258910. 149482.i −0.0283602 0.0163738i
\(210\) −1.50806e6 + 1.02818e6i −0.162840 + 0.111023i
\(211\) 9.44415e6 2.15557e6i 1.00535 0.229464i 0.312011 0.950079i \(-0.398998\pi\)
0.693335 + 0.720615i \(0.256140\pi\)
\(212\) 4.87433e6 734687.i 0.511572 0.0771071i
\(213\) 314469. 394332.i 0.0325416 0.0408059i
\(214\) 2.36744e6i 0.241567i
\(215\) 9.12637e6 3.60163e6i 0.918296 0.362396i
\(216\) −3.42715e6 −0.340073
\(217\) −6.45435e6 5.14718e6i −0.631646 0.503721i
\(218\) −1.67032e6 1.10818e7i −0.161224 1.06965i
\(219\) −367740. 1.61117e6i −0.0350113 0.153395i
\(220\) 185151. + 271567.i 0.0173884 + 0.0255040i
\(221\) −548703. + 950381.i −0.0508347 + 0.0880483i
\(222\) 1.29834e6 749596.i 0.118667 0.0685123i
\(223\) 11035.6 22915.8i 0.000995138 0.00206643i −0.900471 0.434917i \(-0.856778\pi\)
0.901466 + 0.432850i \(0.142492\pi\)
\(224\) 5.39909e6 1.66540e6i 0.480370 0.148175i
\(225\) 20438.2 272728.i 0.00179430 0.0239432i
\(226\) −164328. + 719969.i −0.0142360 + 0.0623718i
\(227\) 6.08487e6 2.38814e6i 0.520204 0.204165i −0.0906874 0.995879i \(-0.528906\pi\)
0.610891 + 0.791714i \(0.290811\pi\)
\(228\) 27966.2 + 373182.i 0.00235955 + 0.0314859i
\(229\) −1.48305e6 223535.i −0.123495 0.0186139i 0.0870037 0.996208i \(-0.472271\pi\)
−0.210499 + 0.977594i \(0.567509\pi\)
\(230\) 1.39961e7 1.29865e7i 1.15033 1.06735i
\(231\) 165656. 79775.8i 0.0134391 0.00647195i
\(232\) 4.73832e6 + 3.23053e6i 0.379455 + 0.258708i
\(233\) −1.26857e7 4.97876e6i −1.00287 0.393598i −0.193631 0.981074i \(-0.562026\pi\)
−0.809242 + 0.587476i \(0.800122\pi\)
\(234\) 317119. 1.02808e6i 0.0247500 0.0802375i
\(235\) 1.40785e7 1.51730e7i 1.08481 1.16915i
\(236\) −324409. 406796.i −0.0246807 0.0309486i
\(237\) 1.81828e6 1.45003e6i 0.136589 0.108926i
\(238\) −1.12522e7 1.04405e7i −0.834651 0.774443i
\(239\) 8.39387e6 + 2.58917e6i 0.614849 + 0.189656i 0.586509 0.809943i \(-0.300502\pi\)
0.0283398 + 0.999598i \(0.490978\pi\)
\(240\) −1.43483e6 + 3.65590e6i −0.103793 + 0.264460i
\(241\) 2.47075e6 3.62393e6i 0.176514 0.258898i −0.727778 0.685812i \(-0.759447\pi\)
0.904292 + 0.426914i \(0.140399\pi\)
\(242\) 7.11407e6 + 1.47725e7i 0.501963 + 1.04234i
\(243\) −6.35669e6 6.85088e6i −0.443009 0.477450i
\(244\) −1.15344e6 + 7.65258e6i −0.0794010 + 0.526791i
\(245\) 6.71961e6 503565.i 0.456926 0.0342419i
\(246\) 860482. + 2.19247e6i 0.0578011 + 0.147275i
\(247\) 420891. + 96065.7i 0.0279305 + 0.00637496i
\(248\) −1.25445e7 940081.i −0.822429 0.0616326i
\(249\) −93034.7 301611.i −0.00602625 0.0195366i
\(250\) −1.66128e7 8.00029e6i −1.06322 0.512019i
\(251\) 1.03492e6 + 1.79253e6i 0.0654463 + 0.113356i 0.896892 0.442250i \(-0.145820\pi\)
−0.831446 + 0.555606i \(0.812486\pi\)
\(252\) 3.44255e6 + 1.98756e6i 0.215119 + 0.124199i
\(253\) −1.58913e6 + 1.08345e6i −0.0981294 + 0.0669035i
\(254\) 1.26056e7 2.87714e6i 0.769238 0.175574i
\(255\) 5.05249e6 761541.i 0.304709 0.0459275i
\(256\) 9.98717e6 1.25235e7i 0.595282 0.746460i
\(257\) 2.91706e7i 1.71849i 0.511566 + 0.859244i \(0.329066\pi\)
−0.511566 + 0.859244i \(0.670934\pi\)
\(258\) 3.43927e6 + 3.17918e6i 0.200266 + 0.185121i
\(259\) 6.39007e6 0.367795
\(260\) −371077. 295924.i −0.0211127 0.0168368i
\(261\) 1.53944e6 + 1.02135e7i 0.0865846 + 0.574451i
\(262\) −2.02365e6 8.86621e6i −0.112521 0.492985i
\(263\) −1.90672e7 2.79665e7i −1.04814 1.53734i −0.827080 0.562084i \(-0.810000\pi\)
−0.221063 0.975260i \(-0.570953\pi\)
\(264\) 140087. 242638.i 0.00761353 0.0131870i
\(265\) −2.29298e7 + 1.32385e7i −1.23215 + 0.711381i
\(266\) −2.62002e6 + 5.44053e6i −0.139207 + 0.289066i
\(267\) −1.03906e6 + 320507.i −0.0545891 + 0.0168385i
\(268\) −550782. + 7.34968e6i −0.0286138 + 0.381824i
\(269\) −7.21737e6 + 3.16214e7i −0.370785 + 1.62452i 0.353793 + 0.935324i \(0.384892\pi\)
−0.724579 + 0.689192i \(0.757966\pi\)
\(270\) −9.59606e6 + 3.76618e6i −0.487530 + 0.191342i
\(271\) 1.62969e6 + 2.17467e7i 0.0818836 + 1.09266i 0.875171 + 0.483813i \(0.160749\pi\)
−0.793288 + 0.608847i \(0.791632\pi\)
\(272\) −3.26597e7 4.92265e6i −1.62295 0.244620i
\(273\) −194631. + 180591.i −0.00956586 + 0.00887582i
\(274\) −5.87678e6 + 2.83011e6i −0.285685 + 0.137579i
\(275\) 38016.4 + 25919.1i 0.00182799 + 0.00124630i
\(276\) 2.24112e6 + 879574.i 0.106595 + 0.0418355i
\(277\) −6.47077e6 + 2.09777e7i −0.304450 + 0.987004i 0.666051 + 0.745907i \(0.267983\pi\)
−0.970501 + 0.241097i \(0.922493\pi\)
\(278\) 2.00629e7 2.16226e7i 0.933810 1.00641i
\(279\) −1.41264e7 1.77140e7i −0.650459 0.815650i
\(280\) −9.26842e6 + 7.39132e6i −0.422213 + 0.336704i
\(281\) −173848. 161308.i −0.00783522 0.00727002i 0.676245 0.736676i \(-0.263606\pi\)
−0.684081 + 0.729406i \(0.739796\pi\)
\(282\) 9.44170e6 + 2.91238e6i 0.421020 + 0.129867i
\(283\) −8.40900e6 + 2.14258e7i −0.371010 + 0.945317i 0.616443 + 0.787400i \(0.288573\pi\)
−0.987452 + 0.157917i \(0.949522\pi\)
\(284\) −1.03341e6 + 1.51574e6i −0.0451149 + 0.0661713i
\(285\) −872143. 1.81102e6i −0.0376750 0.0782329i
\(286\) 123112. + 132683.i 0.00526261 + 0.00567175i
\(287\) −1.49624e6 + 9.92690e6i −0.0632929 + 0.419921i
\(288\) 1.54634e7 1.15882e6i 0.647331 0.0485108i
\(289\) 6.88044e6 + 1.75311e7i 0.285051 + 0.726298i
\(290\) 1.68175e7 + 3.83848e6i 0.689551 + 0.157386i
\(291\) 7.81930e6 + 585976.i 0.317314 + 0.0237794i
\(292\) 1.77175e6 + 5.74386e6i 0.0711628 + 0.230704i
\(293\) −2.32895e7 1.12156e7i −0.925885 0.445883i −0.0907166 0.995877i \(-0.528916\pi\)
−0.835169 + 0.549994i \(0.814630\pi\)
\(294\) 1.60834e6 + 2.78573e6i 0.0632903 + 0.109622i
\(295\) 2.42031e6 + 1.39737e6i 0.0942769 + 0.0544308i
\(296\) 8.04528e6 5.48518e6i 0.310217 0.211503i
\(297\) 1.01241e6 231077.i 0.0386446 0.00882038i
\(298\) −2.10641e7 + 3.17490e6i −0.795964 + 0.119972i
\(299\) 1.73166e6 2.17144e6i 0.0647814 0.0812333i
\(300\) 57594.9i 0.00213315i
\(301\) 5.92000e6 + 1.90650e7i 0.217081 + 0.699096i
\(302\) −1.75631e6 −0.0637648
\(303\) 2.65928e6 + 2.12070e6i 0.0955951 + 0.0762346i
\(304\) 1.93656e6 + 1.28482e7i 0.0689301 + 0.457322i
\(305\) −9.24983e6 4.05262e7i −0.326013 1.42835i
\(306\) −2.37312e7 3.48073e7i −0.828239 1.21480i
\(307\) 1.11755e7 1.93566e7i 0.386236 0.668980i −0.605704 0.795690i \(-0.707108\pi\)
0.991940 + 0.126710i \(0.0404417\pi\)
\(308\) −579160. + 334378.i −0.0198220 + 0.0114442i
\(309\) −536328. + 1.11370e6i −0.0181784 + 0.0377478i
\(310\) −3.61579e7 + 1.11532e7i −1.21372 + 0.374382i
\(311\) 4.36542e6 5.82525e7i 0.145126 1.93657i −0.165849 0.986151i \(-0.553036\pi\)
0.310975 0.950418i \(-0.399345\pi\)
\(312\) −90028.1 + 394439.i −0.00296425 + 0.0129872i
\(313\) 5.16278e7 2.02624e7i 1.68365 0.660782i 0.685888 0.727707i \(-0.259414\pi\)
0.997758 + 0.0669252i \(0.0213189\pi\)
\(314\) −1.75848e6 2.34653e7i −0.0568002 0.757946i
\(315\) −2.11129e7 3.18226e6i −0.675487 0.101813i
\(316\) −6.20087e6 + 5.75357e6i −0.196513 + 0.182337i
\(317\) 1.74596e7 8.40809e6i 0.548095 0.263949i −0.139278 0.990253i \(-0.544478\pi\)
0.687373 + 0.726305i \(0.258764\pi\)
\(318\) −1.04430e7 7.11989e6i −0.324745 0.221407i
\(319\) −1.61757e6 634848.i −0.0498299 0.0195568i
\(320\) −4.09584e6 + 1.32784e7i −0.124995 + 0.405224i
\(321\) −1.09063e6 + 1.17542e6i −0.0329734 + 0.0355368i
\(322\) 2.42213e7 + 3.03726e7i 0.725488 + 0.909733i
\(323\) 1.32164e7 1.05397e7i 0.392199 0.312768i
\(324\) 7.50753e6 + 6.96597e6i 0.220730 + 0.204808i
\(325\) −63490.5 19584.2i −0.00184952 0.000570501i
\(326\) 2.57792e7 6.56844e7i 0.744075 1.89587i
\(327\) −4.27588e6 + 6.27156e6i −0.122287 + 0.179363i
\(328\) 6.63735e6 + 1.37826e7i 0.188093 + 0.390580i
\(329\) 2.86453e7 + 3.08723e7i 0.804389 + 0.866925i
\(330\) 125605. 833334.i 0.00349514 0.0231887i
\(331\) 1.97691e7 1.48149e6i 0.545134 0.0408521i 0.200683 0.979656i \(-0.435684\pi\)
0.344451 + 0.938804i \(0.388065\pi\)
\(332\) 419423. + 1.06867e6i 0.0114614 + 0.0292032i
\(333\) 1.70979e7 + 3.90248e6i 0.463030 + 0.105684i
\(334\) 5.73252e7 + 4.29593e6i 1.53853 + 0.115297i
\(335\) −1.16687e7 3.78290e7i −0.310376 1.00621i
\(336\) −7.19962e6 3.46716e6i −0.189798 0.0914020i
\(337\) 1.11899e6 + 1.93815e6i 0.0292374 + 0.0506406i 0.880274 0.474466i \(-0.157359\pi\)
−0.851036 + 0.525107i \(0.824025\pi\)
\(338\) 3.87577e7 + 2.23768e7i 1.00371 + 0.579491i
\(339\) 413263. 281758.i 0.0106078 0.00723231i
\(340\) −1.81187e7 + 4.13547e6i −0.460988 + 0.105218i
\(341\) 3.76916e6 568109.i 0.0950564 0.0143274i
\(342\) −1.03330e7 + 1.29571e7i −0.258313 + 0.323914i
\(343\) 4.32505e7i 1.07179i
\(344\) 2.38187e7 + 1.89217e7i 0.585116 + 0.464820i
\(345\) −1.29316e7 −0.314915
\(346\) −6.53470e7 5.21125e7i −1.57760 1.25809i
\(347\) 9.45448e6 + 6.27264e7i 0.226282 + 1.50128i 0.756822 + 0.653621i \(0.226751\pi\)
−0.530540 + 0.847660i \(0.678011\pi\)
\(348\) 484018. + 2.12062e6i 0.0114848 + 0.0503182i
\(349\) 1.01213e6 + 1.48452e6i 0.0238101 + 0.0349229i 0.837959 0.545733i \(-0.183749\pi\)
−0.814149 + 0.580656i \(0.802796\pi\)
\(350\) 464674. 804839.i 0.0108379 0.0187718i
\(351\) −1.29866e6 + 749782.i −0.0300313 + 0.0173386i
\(352\) −1.13191e6 + 2.35044e6i −0.0259528 + 0.0538916i
\(353\) −5.18665e7 + 1.59987e7i −1.17913 + 0.363714i −0.821533 0.570161i \(-0.806881\pi\)
−0.357600 + 0.933875i \(0.616405\pi\)
\(354\) −99697.6 + 1.33037e6i −0.00224737 + 0.0299891i
\(355\) 2.19264e6 9.60658e6i 0.0490097 0.214726i
\(356\) 3.68160e6 1.44492e6i 0.0815994 0.0320254i
\(357\) 776920. + 1.03673e7i 0.0170754 + 0.227856i
\(358\) −6.98061e7 1.05216e7i −1.52140 0.229315i
\(359\) 5.75396e7 5.33890e7i 1.24361 1.15390i 0.261577 0.965183i \(-0.415758\pi\)
0.982031 0.188717i \(-0.0604329\pi\)
\(360\) −2.93134e7 + 1.41166e7i −0.628288 + 0.302568i
\(361\) 3.33765e7 + 2.27557e7i 0.709446 + 0.483692i
\(362\) −1.72042e7 6.75215e6i −0.362668 0.142337i
\(363\) 3.27330e6 1.06118e7i 0.0684330 0.221854i
\(364\) 656851. 707917.i 0.0136196 0.0146784i
\(365\) −2.01301e7 2.52424e7i −0.413969 0.519101i
\(366\) 1.55140e7 1.23720e7i 0.316433 0.252347i
\(367\) −2.52232e7 2.34037e7i −0.510272 0.473464i 0.382510 0.923951i \(-0.375060\pi\)
−0.892783 + 0.450488i \(0.851250\pi\)
\(368\) 7.98769e7 + 2.46388e7i 1.60279 + 0.494396i
\(369\) −1.00659e7 + 2.56476e7i −0.200343 + 0.510466i
\(370\) 1.64991e7 2.41997e7i 0.325728 0.477755i
\(371\) −2.33744e7 4.85374e7i −0.457739 0.950505i
\(372\) −3.24534e6 3.49765e6i −0.0630423 0.0679434i
\(373\) −1.44059e7 + 9.55768e7i −0.277596 + 1.84173i 0.221470 + 0.975167i \(0.428915\pi\)
−0.499066 + 0.866564i \(0.666324\pi\)
\(374\) 7.06753e6 529638.i 0.135099 0.0101243i
\(375\) 4.56258e6 + 1.16253e7i 0.0865201 + 0.220450i
\(376\) 6.25658e7 + 1.42802e7i 1.17699 + 0.268641i
\(377\) 2.50227e6 + 187520.i 0.0466993 + 0.00349963i
\(378\) −6.18244e6 2.00430e7i −0.114468 0.371097i
\(379\) −4.50981e7 2.17181e7i −0.828401 0.398937i −0.0288855 0.999583i \(-0.509196\pi\)
−0.799515 + 0.600646i \(0.794910\pi\)
\(380\) 3.65557e6 + 6.33163e6i 0.0666199 + 0.115389i
\(381\) −7.58403e6 4.37864e6i −0.137128 0.0791707i
\(382\) 3.91029e6 2.66599e6i 0.0701486 0.0478265i
\(383\) 6.65017e7 1.51786e7i 1.18369 0.270168i 0.415016 0.909814i \(-0.363776\pi\)
0.768670 + 0.639646i \(0.220919\pi\)
\(384\) −1.55545e7 + 2.34446e6i −0.274702 + 0.0414047i
\(385\) 2.23962e6 2.80840e6i 0.0392457 0.0492126i
\(386\) 5.45606e7i 0.948674i
\(387\) 4.19693e6 + 5.46274e7i 0.0724100 + 0.942493i
\(388\) −2.85203e7 −0.488269
\(389\) −6.27305e7 5.00259e7i −1.06569 0.849858i −0.0765822 0.997063i \(-0.524401\pi\)
−0.989106 + 0.147205i \(0.952972\pi\)
\(390\) 181379. + 1.20337e6i 0.00305768 + 0.0202864i
\(391\) −2.41996e7 1.06025e8i −0.404835 1.77370i
\(392\) 1.17691e7 + 1.72621e7i 0.195382 + 0.286573i
\(393\) −3.07975e6 + 5.33428e6i −0.0507385 + 0.0878816i
\(394\) −1.12661e8 + 6.50449e7i −1.84198 + 1.06347i
\(395\) 1.97137e7 4.09359e7i 0.319873 0.664222i
\(396\) −1.75386e6 + 540995.i −0.0282430 + 0.00871180i
\(397\) −3.01134e6 + 4.01836e7i −0.0481270 + 0.642210i 0.920027 + 0.391855i \(0.128166\pi\)
−0.968154 + 0.250355i \(0.919453\pi\)
\(398\) −1.78063e6 + 7.80143e6i −0.0282438 + 0.123744i
\(399\) 3.80717e6 1.49420e6i 0.0599354 0.0235229i
\(400\) −149439. 1.99412e6i −0.00233498 0.0311581i
\(401\) −4.49460e7 6.77453e6i −0.697041 0.105062i −0.209043 0.977907i \(-0.567035\pi\)
−0.487998 + 0.872845i \(0.662273\pi\)
\(402\) 1.38530e7 1.28537e7i 0.213239 0.197857i
\(403\) −4.95920e6 + 2.38822e6i −0.0757699 + 0.0364888i
\(404\) −1.02218e7 6.96909e6i −0.155018 0.105690i
\(405\) −5.12071e7 2.00973e7i −0.770842 0.302533i
\(406\) −1.03454e7 + 3.35389e7i −0.154585 + 0.501153i
\(407\) −2.00682e6 + 2.16283e6i −0.0297663 + 0.0320804i
\(408\) 9.87734e6 + 1.23858e7i 0.145432 + 0.182366i
\(409\) 5.37279e7 4.28466e7i 0.785290 0.626247i −0.146515 0.989208i \(-0.546806\pi\)
0.931804 + 0.362961i \(0.118234\pi\)
\(410\) 3.37307e7 + 3.12975e7i 0.489411 + 0.454107i
\(411\) 4.22156e6 + 1.30218e6i 0.0608062 + 0.0187562i
\(412\) 1.64258e6 4.18522e6i 0.0234874 0.0598449i
\(413\) −3.20326e6 + 4.69832e6i −0.0454718 + 0.0666949i
\(414\) 4.62600e7 + 9.60598e7i 0.651935 + 1.35376i
\(415\) −4.19421e6 4.52029e6i −0.0586822 0.0632443i
\(416\) 561472. 3.72512e6i 0.00779917 0.0517441i
\(417\) −1.99222e7 + 1.49296e6i −0.274744 + 0.0205892i
\(418\) −1.01862e6 2.59540e6i −0.0139471 0.0355366i
\(419\) −5.17660e7 1.18153e7i −0.703725 0.160621i −0.144339 0.989528i \(-0.546106\pi\)
−0.559385 + 0.828908i \(0.688963\pi\)
\(420\) −4.48382e6 336016.i −0.0605202 0.00453536i
\(421\) −2.65808e7 8.61729e7i −0.356223 1.15485i −0.939493 0.342568i \(-0.888703\pi\)
0.583270 0.812278i \(-0.301773\pi\)
\(422\) 8.13947e7 + 3.91976e7i 1.08308 + 0.521582i
\(423\) 5.77921e7 + 1.00099e8i 0.763567 + 1.32254i
\(424\) −7.10930e7 4.10456e7i −0.932673 0.538479i
\(425\) −2.14958e6 + 1.46556e6i −0.0280019 + 0.0190913i
\(426\) 4.58582e6 1.04668e6i 0.0593183 0.0135390i
\(427\) 8.36338e7 1.26058e7i 1.07423 0.161914i
\(428\) 3.63629e6 4.55977e6i 0.0463797 0.0581583i
\(429\) 122591.i 0.00155270i
\(430\) 8.74861e7 + 2.68061e7i 1.10036 + 0.337154i
\(431\) −1.44817e8 −1.80879 −0.904393 0.426701i \(-0.859676\pi\)
−0.904393 + 0.426701i \(0.859676\pi\)
\(432\) −3.52859e7 2.81395e7i −0.437673 0.349033i
\(433\) −1.90309e7 1.26262e8i −0.234420 1.55528i −0.728001 0.685576i \(-0.759550\pi\)
0.493581 0.869700i \(-0.335688\pi\)
\(434\) −1.71319e7 7.50599e7i −0.209574 0.918204i
\(435\) −6.58147e6 9.65324e6i −0.0799568 0.117275i
\(436\) 1.38042e7 2.39095e7i 0.166552 0.288477i
\(437\) −3.70509e7 + 2.13914e7i −0.443971 + 0.256327i
\(438\) 6.68712e6 1.38859e7i 0.0795824 0.165254i
\(439\) 1.25437e7 3.86921e6i 0.148263 0.0457329i −0.219736 0.975559i \(-0.570519\pi\)
0.367998 + 0.929827i \(0.380043\pi\)
\(440\) 409045. 5.45832e6i 0.00480190 0.0640769i
\(441\) −8.37320e6 + 3.66854e7i −0.0976283 + 0.427738i
\(442\) −9.52695e6 + 3.73905e6i −0.110328 + 0.0433007i
\(443\) 8.86051e6 + 1.18235e8i 0.101917 + 1.35999i 0.780357 + 0.625334i \(0.215037\pi\)
−0.678440 + 0.734656i \(0.737344\pi\)
\(444\) 3.65199e6 + 550449.i 0.0417235 + 0.00628880i
\(445\) −1.55725e7 + 1.44492e7i −0.176717 + 0.163969i
\(446\) 213713. 102919.i 0.00240894 0.00116008i
\(447\) 1.19208e7 + 8.12746e6i 0.133470 + 0.0909981i
\(448\) −2.63190e7 1.03294e7i −0.292708 0.114879i
\(449\) −3.08397e7 + 9.99799e7i −0.340699 + 1.10452i 0.609476 + 0.792804i \(0.291380\pi\)
−0.950175 + 0.311716i \(0.899096\pi\)
\(450\) 1.73485e6 1.86972e6i 0.0190381 0.0205182i
\(451\) −2.89004e6 3.62399e6i −0.0315046 0.0395055i
\(452\) −1.42234e6 + 1.13428e6i −0.0154024 + 0.0122830i
\(453\) 871999. + 809097.i 0.00938041 + 0.00870374i
\(454\) 5.82533e7 + 1.79688e7i 0.622519 + 0.192022i
\(455\) −1.89506e6 + 4.82854e6i −0.0201182 + 0.0512603i
\(456\) 3.51072e6 5.14928e6i 0.0370256 0.0543066i
\(457\) 3.95726e7 + 8.21734e7i 0.414616 + 0.860959i 0.998783 + 0.0493256i \(0.0157072\pi\)
−0.584167 + 0.811634i \(0.698579\pi\)
\(458\) −9.51372e6 1.02534e7i −0.0990271 0.106726i
\(459\) −8.75140e6 + 5.80618e7i −0.0904981 + 0.600416i
\(460\) 4.69035e7 3.51493e6i 0.481872 0.0361113i
\(461\) −3.31805e7 8.45425e7i −0.338672 0.862923i −0.994180 0.107734i \(-0.965640\pi\)
0.655507 0.755189i \(-0.272455\pi\)
\(462\) 1.67173e6 + 381562.i 0.0169528 + 0.00386936i
\(463\) 9.57788e7 + 7.17763e6i 0.964998 + 0.0723166i 0.547899 0.836544i \(-0.315428\pi\)
0.417099 + 0.908861i \(0.363047\pi\)
\(464\) 2.22605e7 + 7.21668e7i 0.222834 + 0.722410i
\(465\) 2.30902e7 + 1.11197e7i 0.229652 + 0.110594i
\(466\) −6.35461e7 1.10065e8i −0.627958 1.08766i
\(467\) 1.70985e7 + 9.87181e6i 0.167883 + 0.0969273i 0.581587 0.813484i \(-0.302432\pi\)
−0.413704 + 0.910411i \(0.635765\pi\)
\(468\) 2.18986e6 1.49302e6i 0.0213638 0.0145656i
\(469\) 7.85291e7 1.79237e7i 0.761223 0.173744i
\(470\) 1.90878e8 2.87702e7i 1.83849 0.277108i
\(471\) −9.93692e6 + 1.24605e7i −0.0951019 + 0.119254i
\(472\) 8.66498e6i 0.0824027i
\(473\) −8.31207e6 3.98367e6i −0.0785463 0.0376444i
\(474\) 2.16892e7 0.203661
\(475\) 800187. + 638128.i 0.00746639 + 0.00595425i
\(476\) −5.63586e6 3.73915e7i −0.0522564 0.346699i
\(477\) −3.29004e7 1.44146e8i −0.303142 1.32815i
\(478\) 4.61476e7 + 6.76862e7i 0.422538 + 0.619750i
\(479\) −5.54156e7 + 9.59826e7i −0.504226 + 0.873345i 0.495762 + 0.868458i \(0.334889\pi\)
−0.999988 + 0.00488677i \(0.998444\pi\)
\(480\) −1.51903e7 + 8.77012e6i −0.137354 + 0.0793016i
\(481\) 1.84859e6 3.83864e6i 0.0166114 0.0344939i
\(482\) 3.90871e7 1.20568e7i 0.349054 0.107669i
\(483\) 1.96627e6 2.62381e7i 0.0174503 0.232858i
\(484\) −8.98805e6 + 3.93792e7i −0.0792738 + 0.347321i
\(485\) 1.42601e8 5.59667e7i 1.24996 0.490574i
\(486\) −6.51333e6 8.69144e7i −0.0567407 0.757152i
\(487\) −2.17988e8 3.28564e7i −1.88732 0.284468i −0.899127 0.437688i \(-0.855798\pi\)
−0.988192 + 0.153220i \(0.951036\pi\)
\(488\) 9.44766e7 8.76615e7i 0.812952 0.754309i
\(489\) −4.30587e7 + 2.07360e7i −0.368243 + 0.177336i
\(490\) 5.19233e7 + 3.54007e7i 0.441340 + 0.300901i
\(491\) −7.45124e7 2.92440e7i −0.629483 0.247054i 0.0290826 0.999577i \(-0.490741\pi\)
−0.658566 + 0.752523i \(0.728837\pi\)
\(492\) −1.71023e6 + 5.54443e6i −0.0143602 + 0.0465545i
\(493\) 6.68303e7 7.20259e7i 0.557741 0.601102i
\(494\) 2.51028e6 + 3.14780e6i 0.0208229 + 0.0261111i
\(495\) 7.70765e6 6.14665e6i 0.0635487 0.0506784i
\(496\) −1.21439e8 1.12679e8i −0.995209 0.923419i
\(497\) 1.91583e7 + 5.90955e6i 0.156059 + 0.0481377i
\(498\) 1.07542e6 2.74013e6i 0.00870743 0.0221862i
\(499\) 1.04696e8 1.53560e8i 0.842611 1.23588i −0.127163 0.991882i \(-0.540587\pi\)
0.969775 0.244002i \(-0.0784604\pi\)
\(500\) −1.97086e7 4.09254e7i −0.157669 0.327403i
\(501\) −2.64826e7 2.85415e7i −0.210595 0.226967i
\(502\) −2.87701e6 + 1.90877e7i −0.0227421 + 0.150884i
\(503\) 9.37641e7 7.02664e6i 0.736771 0.0552133i 0.298941 0.954271i \(-0.403366\pi\)
0.437829 + 0.899058i \(0.355747\pi\)
\(504\) −2.41853e7 6.16232e7i −0.188912 0.481340i
\(505\) 6.47844e7 + 1.47866e7i 0.503033 + 0.114814i
\(506\) −1.78869e7 1.34044e6i −0.138065 0.0103465i
\(507\) −8.93446e6 2.89648e7i −0.0685558 0.222252i
\(508\) 2.86979e7 + 1.38202e7i 0.218906 + 0.105420i
\(509\) 1.20859e7 + 2.09333e7i 0.0916482 + 0.158739i 0.908205 0.418526i \(-0.137453\pi\)
−0.816557 + 0.577265i \(0.804120\pi\)
\(510\) 4.12677e7 + 2.38259e7i 0.311100 + 0.179614i
\(511\) 5.42775e7 3.70057e7i 0.406777 0.277336i
\(512\) −9.74518e6 + 2.22427e6i −0.0726072 + 0.0165721i
\(513\) 2.28413e7 3.44277e6i 0.169188 0.0255009i
\(514\) −1.69618e8 + 2.12694e8i −1.24906 + 1.56627i
\(515\) 2.41493e7i 0.176800i
\(516\) 1.74106e6 + 1.14058e7i 0.0126725 + 0.0830187i
\(517\) −1.94454e7 −0.140717
\(518\) 4.65924e7 + 3.71562e7i 0.335216 + 0.267326i
\(519\) 8.43726e6 + 5.59776e7i 0.0603531 + 0.400416i
\(520\) 1.75884e6 + 7.70597e6i 0.0125088 + 0.0548046i
\(521\) −2.49381e7 3.65775e7i −0.176340 0.258643i 0.727885 0.685699i \(-0.240503\pi\)
−0.904225 + 0.427056i \(0.859551\pi\)
\(522\) −4.81636e7 + 8.34217e7i −0.338616 + 0.586499i
\(523\) −4.51127e7 + 2.60459e7i −0.315351 + 0.182068i −0.649318 0.760517i \(-0.724946\pi\)
0.333967 + 0.942585i \(0.391612\pi\)
\(524\) 9.72050e6 2.01848e7i 0.0675608 0.140292i
\(525\) −601481. + 185532.i −0.00415666 + 0.00128216i
\(526\) 2.35898e7 3.14784e8i 0.162094 2.16299i
\(527\) −4.79596e7 + 2.10125e8i −0.327676 + 1.43564i
\(528\) 3.43458e6 1.34797e6i 0.0233331 0.00915755i
\(529\) 9.50567e6 + 1.26844e8i 0.0642119 + 0.856848i
\(530\) −2.44167e8 3.68023e7i −1.64006 0.247199i
\(531\) −1.14403e7 + 1.06150e7i −0.0764103 + 0.0708984i
\(532\) −1.34027e7 + 6.45439e6i −0.0890136 + 0.0428667i
\(533\) 5.53043e6 + 3.77059e6i 0.0365239 + 0.0249016i
\(534\) −9.43979e6 3.70485e6i −0.0619924 0.0243302i
\(535\) −9.23354e6 + 2.99344e7i −0.0602985 + 0.195483i
\(536\) 8.34848e7 8.99752e7i 0.542142 0.584290i
\(537\) 2.98113e7 + 3.73821e7i 0.192512 + 0.241402i
\(538\) −2.36493e8 + 1.88596e8i −1.51869 + 1.21112i
\(539\) −4.64060e6 4.30585e6i −0.0296352 0.0274975i
\(540\) −2.42670e7 7.48538e6i −0.154111 0.0475371i
\(541\) −7.68502e6 + 1.95811e7i −0.0485348 + 0.123665i −0.953085 0.302702i \(-0.902111\pi\)
0.904550 + 0.426367i \(0.140207\pi\)
\(542\) −1.14567e8 + 1.68039e8i −0.719553 + 1.05539i
\(543\) 5.43121e6 + 1.12780e7i 0.0339232 + 0.0704423i
\(544\) −1.00332e8 1.08133e8i −0.623224 0.671676i
\(545\) −2.21018e7 + 1.46636e8i −0.136533 + 0.905837i
\(546\) −2.46921e6 + 185041.i −0.0151698 + 0.00113682i
\(547\) 8.08832e7 + 2.06087e8i 0.494193 + 1.25918i 0.932764 + 0.360486i \(0.117389\pi\)
−0.438572 + 0.898696i \(0.644515\pi\)
\(548\) −1.56658e7 3.57561e6i −0.0951942 0.0217275i
\(549\) 2.31477e8 + 1.73468e7i 1.39891 + 0.104834i
\(550\) 126480. + 410039.i 0.000760212 + 0.00246455i
\(551\) −3.48253e7 1.67710e7i −0.208180 0.100254i
\(552\) −2.00469e7 3.47223e7i −0.119188 0.206439i
\(553\) 8.00612e7 + 4.62234e7i 0.473420 + 0.273329i
\(554\) −1.69159e8 + 1.15331e8i −0.994870 + 0.678291i
\(555\) −1.93400e7 + 4.41423e6i −0.113130 + 0.0258212i
\(556\) 7.18531e7 1.08301e7i 0.418043 0.0630099i
\(557\) −2.38928e7 + 2.99606e7i −0.138261 + 0.173374i −0.846141 0.532958i \(-0.821080\pi\)
0.707880 + 0.706333i \(0.249652\pi\)
\(558\) 2.11300e8i 1.21618i
\(559\) 1.31653e7 + 1.95908e6i 0.0753696 + 0.0112154i
\(560\) −1.56116e8 −0.888963
\(561\) −3.75298e6 2.99290e6i −0.0212563 0.0169513i
\(562\) −329641. 2.18702e6i −0.00185709 0.0123210i
\(563\) 5.51809e7 + 2.41763e8i 0.309217 + 1.35477i 0.855775 + 0.517348i \(0.173081\pi\)
−0.546558 + 0.837421i \(0.684062\pi\)
\(564\) 1.37117e7 + 2.01114e7i 0.0764283 + 0.112100i
\(565\) 4.88583e6 8.46251e6i 0.0270890 0.0469195i
\(566\) −1.85897e8 + 1.07328e8i −1.02523 + 0.591919i
\(567\) 4.85635e7 1.00843e8i 0.266416 0.553219i
\(568\) 2.91936e7 9.00502e6i 0.159310 0.0491405i
\(569\) 2.23153e7 2.97777e8i 0.121134 1.61642i −0.523568 0.851984i \(-0.675399\pi\)
0.644702 0.764434i \(-0.276981\pi\)
\(570\) 4.17139e6 1.82761e7i 0.0225246 0.0986866i
\(571\) −1.86624e8 + 7.32446e7i −1.00244 + 0.393430i −0.809081 0.587697i \(-0.800035\pi\)
−0.193363 + 0.981127i \(0.561939\pi\)
\(572\) 33321.6 + 444646.i 0.000178048 + 0.00237589i
\(573\) −3.16960e6 477741.i −0.0168477 0.00253939i
\(574\) −6.86313e7 + 6.36805e7i −0.362900 + 0.336722i
\(575\) 5.93233e6 2.85686e6i 0.0312048 0.0150274i
\(576\) −6.41132e7 4.37116e7i −0.335490 0.228733i
\(577\) 2.28611e8 + 8.97233e7i 1.19006 + 0.467066i 0.875988 0.482332i \(-0.160210\pi\)
0.314076 + 0.949398i \(0.398305\pi\)
\(578\) −5.17697e7 + 1.67833e8i −0.268097 + 0.869149i
\(579\) 2.51349e7 2.70890e7i 0.129492 0.139559i
\(580\) 2.64952e7 + 3.32240e7i 0.135795 + 0.170281i
\(581\) 9.80937e6 7.82271e6i 0.0500164 0.0398868i
\(582\) 5.36062e7 + 4.97392e7i 0.271923 + 0.252308i
\(583\) 2.37691e7 + 7.33180e6i 0.119952 + 0.0370003i
\(584\) 3.65715e7 9.31826e7i 0.183613 0.467839i
\(585\) −8.01943e6 + 1.17624e7i −0.0400568 + 0.0587525i
\(586\) −1.04597e8 2.17198e8i −0.519789 1.07935i
\(587\) −1.84545e8 1.98892e8i −0.912405 0.983338i 0.0875131 0.996163i \(-0.472108\pi\)
−0.999918 + 0.0128250i \(0.995918\pi\)
\(588\) −1.18105e6 + 7.83576e6i −0.00580947 + 0.0385433i
\(589\) 8.45512e7 6.33623e6i 0.413784 0.0310088i
\(590\) 9.52215e6 + 2.42620e7i 0.0463638 + 0.118133i
\(591\) 8.59005e7 + 1.96062e7i 0.416134 + 0.0949798i
\(592\) 1.27872e8 + 9.58266e6i 0.616324 + 0.0461871i
\(593\) −4.03849e7 1.30925e8i −0.193667 0.627853i −0.999369 0.0355312i \(-0.988688\pi\)
0.805702 0.592322i \(-0.201788\pi\)
\(594\) 8.72552e6 + 4.20199e6i 0.0416324 + 0.0200491i
\(595\) 1.01554e8 + 1.75897e8i 0.482111 + 0.835041i
\(596\) −4.54465e7 2.62386e7i −0.214665 0.123937i
\(597\) 4.47803e6 3.05307e6i 0.0210457 0.0143487i
\(598\) 2.52524e7 5.76370e6i 0.118086 0.0269524i
\(599\) 2.19301e8 3.30543e7i 1.02038 0.153797i 0.382516 0.923949i \(-0.375058\pi\)
0.637860 + 0.770152i \(0.279820\pi\)
\(600\) −598023. + 749897.i −0.00276862 + 0.00347174i
\(601\) 1.30280e8i 0.600143i −0.953917 0.300071i \(-0.902989\pi\)
0.953917 0.300071i \(-0.0970105\pi\)
\(602\) −6.76918e7 + 1.73433e8i −0.310275 + 0.794953i
\(603\) 2.21066e8 1.00825
\(604\) −3.38271e6 2.69762e6i −0.0153516 0.0122425i
\(605\) −3.23356e7 2.14533e8i −0.146021 0.968786i
\(606\) 7.05858e6 + 3.09257e7i 0.0317175 + 0.138964i
\(607\) 5.95504e7 + 8.73444e7i 0.266268 + 0.390543i 0.935966 0.352090i \(-0.114529\pi\)
−0.669698 + 0.742633i \(0.733577\pi\)
\(608\) −2.90150e7 + 5.02554e7i −0.129096 + 0.223600i
\(609\) 2.05871e7 1.18860e7i 0.0911472 0.0526238i
\(610\) 1.68202e8 3.49276e8i 0.741042 1.53879i
\(611\) 2.68325e7 8.27672e6i 0.117635 0.0362856i
\(612\) 7.75551e6 1.03490e8i 0.0338342 0.451486i
\(613\) −2.64746e7 + 1.15993e8i −0.114934 + 0.503558i 0.884389 + 0.466751i \(0.154576\pi\)
−0.999322 + 0.0368065i \(0.988281\pi\)
\(614\) 1.94037e8 7.61539e7i 0.838261 0.328993i
\(615\) −2.32898e6 3.10781e7i −0.0100125 0.133607i
\(616\) 1.10127e7 + 1.65990e6i 0.0471142 + 0.00710133i
\(617\) −2.50828e8 + 2.32734e8i −1.06788 + 0.990844i −0.999977 0.00684821i \(-0.997820\pi\)
−0.0678993 + 0.997692i \(0.521630\pi\)
\(618\) −1.03864e7 + 5.00181e6i −0.0440046 + 0.0211915i
\(619\) −3.50838e8 2.39198e8i −1.47923 1.00852i −0.990714 0.135964i \(-0.956587\pi\)
−0.488514 0.872556i \(-0.662461\pi\)
\(620\) −8.67720e7 3.40555e7i −0.364087 0.142893i
\(621\) 4.38023e7 1.42004e8i 0.182904 0.592959i
\(622\) 3.70549e8 3.99357e8i 1.53984 1.65955i
\(623\) −2.69494e7 3.37935e7i −0.111451 0.139756i
\(624\) −4.16558e6 + 3.32194e6i −0.0171444 + 0.0136722i
\(625\) 1.74306e8 + 1.61733e8i 0.713959 + 0.662457i
\(626\) 4.94257e8 + 1.52458e8i 2.01479 + 0.621480i
\(627\) −689910. + 1.75786e6i −0.00279891 + 0.00713152i
\(628\) 3.26549e7 4.78959e7i 0.131847 0.193384i
\(629\) −7.23843e7 1.50308e8i −0.290866 0.603989i
\(630\) −1.35438e8 1.45968e8i −0.541651 0.583761i
\(631\) 1.43174e7 9.49895e7i 0.0569869 0.378083i −0.942099 0.335335i \(-0.891151\pi\)
0.999086 0.0427484i \(-0.0136114\pi\)
\(632\) 1.40477e8 1.05273e7i 0.556486 0.0417029i
\(633\) −2.23545e7 5.69583e7i −0.0881360 0.224567i
\(634\) 1.76194e8 + 4.02152e7i 0.691392 + 0.157806i
\(635\) −1.70608e8 1.27853e7i −0.666315 0.0499334i
\(636\) −9.17761e6 2.97531e7i −0.0356745 0.115654i
\(637\) 8.23624e6 + 3.96636e6i 0.0318648 + 0.0153453i
\(638\) −8.10284e6 1.40345e7i −0.0312015 0.0540426i
\(639\) 4.76527e7 + 2.75123e7i 0.182635 + 0.105445i
\(640\) −2.53914e8 + 1.73116e8i −0.968605 + 0.660384i
\(641\) 2.34290e8 5.34751e7i 0.889568 0.203038i 0.246770 0.969074i \(-0.420631\pi\)
0.642798 + 0.766036i \(0.277774\pi\)
\(642\) −1.47869e7 + 2.22877e6i −0.0558820 + 0.00842286i
\(643\) −4.67258e7 + 5.85923e7i −0.175762 + 0.220398i −0.861907 0.507066i \(-0.830730\pi\)
0.686145 + 0.727464i \(0.259301\pi\)
\(644\) 9.57014e7i 0.358311i
\(645\) −3.10873e7 5.36121e7i −0.115852 0.199795i
\(646\) 1.57651e8 0.584789
\(647\) −2.47367e8 1.97268e8i −0.913332 0.728358i 0.0494106 0.998779i \(-0.484266\pi\)
−0.962742 + 0.270421i \(0.912837\pi\)
\(648\) −2.54200e7 1.68651e8i −0.0934224 0.619817i
\(649\) −584239. 2.55972e6i −0.00213726 0.00936393i
\(650\) −349057. 511972.i −0.00127103 0.00186426i
\(651\) −2.60727e7 + 4.51592e7i −0.0945023 + 0.163683i
\(652\) 1.50540e8 8.69143e7i 0.543137 0.313580i
\(653\) −1.07493e8 + 2.23211e8i −0.386046 + 0.801633i 0.613879 + 0.789400i \(0.289608\pi\)
−0.999925 + 0.0122328i \(0.996106\pi\)
\(654\) −6.76441e7 + 2.08654e7i −0.241822 + 0.0745923i
\(655\) −8.99266e6 + 1.19999e8i −0.0320010 + 0.427024i
\(656\) −4.48278e7 + 1.96403e8i −0.158795 + 0.695725i
\(657\) 1.67830e8 6.58683e7i 0.591797 0.232263i
\(658\) 2.93512e7 + 3.91665e8i 0.103026 + 1.37479i
\(659\) 1.13872e8 + 1.71634e7i 0.397888 + 0.0599720i 0.344939 0.938625i \(-0.387900\pi\)
0.0529493 + 0.998597i \(0.483138\pi\)
\(660\) 1.52189e6 1.41210e6i 0.00529359 0.00491173i
\(661\) −4.18296e8 + 2.01441e8i −1.44837 + 0.697497i −0.982311 0.187257i \(-0.940040\pi\)
−0.466058 + 0.884754i \(0.654326\pi\)
\(662\) 1.52758e8 + 1.04149e8i 0.526539 + 0.358988i
\(663\) 6.45258e6 + 2.53245e6i 0.0221408 + 0.00868962i
\(664\) 5.63533e6 1.82693e7i 0.0192493 0.0624047i
\(665\) 5.43473e7 5.85724e7i 0.184805 0.199172i
\(666\) 1.01975e8 + 1.27873e8i 0.345201 + 0.432868i
\(667\) −1.94417e8 + 1.55043e8i −0.655175 + 0.522484i
\(668\) 1.03812e8 + 9.63233e7i 0.348271 + 0.323148i
\(669\) −153520. 47354.5i −0.000512726 0.000158155i
\(670\) 1.34883e8 3.43675e8i 0.448468 1.14268i
\(671\) −2.19987e7 + 3.22662e7i −0.0728165 + 0.106802i
\(672\) −1.54848e7 3.21545e7i −0.0510267 0.105958i
\(673\) −2.05196e8 2.21148e8i −0.673168 0.725502i 0.300422 0.953806i \(-0.402872\pi\)
−0.973590 + 0.228304i \(0.926682\pi\)
\(674\) −3.11074e6 + 2.06384e7i −0.0101598 + 0.0674056i
\(675\) −3.54511e6 + 265669.i −0.0115271 + 0.000863833i
\(676\) 4.02787e7 + 1.02628e8i 0.130387 + 0.332222i
\(677\) −3.31221e8 7.55991e7i −1.06746 0.243641i −0.347517 0.937674i \(-0.612975\pi\)
−0.719944 + 0.694032i \(0.755832\pi\)
\(678\) 4.65158e6 + 348588.i 0.0149249 + 0.00111847i
\(679\) 9.18734e7 + 2.97846e8i 0.293481 + 0.951443i
\(680\) 2.78848e8 + 1.34286e8i 0.886832 + 0.427076i
\(681\) −2.06446e7 3.57575e7i −0.0653679 0.113221i
\(682\) 3.07857e7 + 1.77741e7i 0.0970501 + 0.0560319i
\(683\) −2.40530e8 + 1.63991e8i −0.754932 + 0.514704i −0.878564 0.477624i \(-0.841498\pi\)
0.123632 + 0.992328i \(0.460546\pi\)
\(684\) −3.98032e7 + 9.08482e6i −0.124380 + 0.0283889i
\(685\) 8.53452e7 1.28637e7i 0.265526 0.0400216i
\(686\) −2.51487e8 + 3.15355e8i −0.779011 + 0.976849i
\(687\) 9.47351e6i 0.0292173i
\(688\) 8.98749e7 + 3.90387e8i 0.275977 + 1.19875i
\(689\) −3.59194e7 −0.109817
\(690\) −9.42888e7 7.51928e7i −0.287021 0.228891i
\(691\) −4.32218e7 2.86758e8i −0.130999 0.869123i −0.953724 0.300683i \(-0.902785\pi\)
0.822725 0.568440i \(-0.192453\pi\)
\(692\) −4.58177e7 2.00740e8i −0.138266 0.605782i
\(693\) 1.12995e7 + 1.65734e7i 0.0339517 + 0.0497980i
\(694\) −2.95797e8 + 5.12336e8i −0.884944 + 1.53277i
\(695\) −3.38011e8 + 1.95151e8i −1.00688 + 0.581321i
\(696\) 1.57169e7 3.26366e7i 0.0466166 0.0968003i
\(697\) 2.50450e8 7.72535e7i 0.739643 0.228150i
\(698\) −1.25220e6 + 1.67094e7i −0.00368219 + 0.0491355i
\(699\) −1.91544e7 + 8.39210e7i −0.0560838 + 0.245719i
\(700\) 2.13118e6 836425.i 0.00621334 0.00243856i
\(701\) −4.23354e7 5.64926e8i −0.122899 1.63998i −0.628930 0.777462i \(-0.716507\pi\)
0.506031 0.862515i \(-0.331112\pi\)
\(702\) −1.38288e7 2.08435e6i −0.0399734 0.00602503i
\(703\) −4.81101e7 + 4.46396e7i −0.138475 + 0.128486i
\(704\) 1.17617e7 5.66414e6i 0.0337095 0.0162336i
\(705\) −1.08024e8 7.36493e7i −0.308285 0.210185i
\(706\) −4.71205e8 1.84934e8i −1.33905 0.525537i
\(707\) −3.98525e7 + 1.29199e8i −0.112771 + 0.365595i
\(708\) −2.23542e6 + 2.40921e6i −0.00629881 + 0.00678850i
\(709\) 1.34847e8 + 1.69093e8i 0.378358 + 0.474446i 0.934153 0.356873i \(-0.116157\pi\)
−0.555794 + 0.831320i \(0.687586\pi\)
\(710\) 7.18465e7 5.72957e7i 0.200738 0.160084i
\(711\) 1.85990e8 + 1.72574e8i 0.517465 + 0.480138i
\(712\) −6.29381e7 1.94138e7i −0.174371 0.0537863i
\(713\) 1.99283e8 5.07766e8i 0.549797 1.40086i
\(714\) −5.46175e7 + 8.01091e7i −0.150050 + 0.220083i
\(715\) −1.03916e6 2.15783e6i −0.00284291 0.00590336i
\(716\) −1.18288e8 1.27484e8i −0.322256 0.347310i
\(717\) 8.26958e6 5.48651e7i 0.0224350 0.148846i
\(718\) 7.29982e8 5.47046e7i 1.97214 0.147792i
\(719\) 7.29973e7 + 1.85994e8i 0.196390 + 0.500394i 0.994815 0.101700i \(-0.0324283\pi\)
−0.798425 + 0.602095i \(0.794333\pi\)
\(720\) −4.17719e8 9.53416e7i −1.11914 0.255438i
\(721\) −4.89988e7 3.67195e6i −0.130731 0.00979696i
\(722\) 1.11043e8 + 3.59994e8i 0.295040 + 0.956497i
\(723\) −2.49608e7 1.20205e7i −0.0660457 0.0318059i
\(724\) −2.27648e7 3.94298e7i −0.0599858 0.103898i
\(725\) 5.15184e6 + 2.97442e6i 0.0135191 + 0.00780527i
\(726\) 8.55708e7 5.83412e7i 0.223623 0.152463i
\(727\) −4.81333e8 + 1.09861e8i −1.25269 + 0.285918i −0.796867 0.604154i \(-0.793511\pi\)
−0.455820 + 0.890072i \(0.650654\pi\)
\(728\) −1.59028e7 + 2.39696e6i −0.0412173 + 0.00621251i
\(729\) 1.65810e8 2.07919e8i 0.427985 0.536676i
\(730\) 3.01102e8i 0.774007i
\(731\) 3.81388e8 3.55212e8i 0.976371 0.909358i
\(732\) 4.88834e7 0.124632
\(733\) −5.82851e8 4.64808e8i −1.47994 1.18022i −0.941248 0.337716i \(-0.890346\pi\)
−0.538696 0.842500i \(-0.681083\pi\)
\(734\) −4.78268e7 3.17310e8i −0.120944 0.802408i
\(735\) −9.47124e6 4.14962e7i −0.0238531 0.104507i
\(736\) 2.10303e8 + 3.08457e8i 0.527486 + 0.773680i
\(737\) −1.85956e7 + 3.22086e7i −0.0464524 + 0.0804579i
\(738\) −2.22527e8 + 1.28476e8i −0.553621 + 0.319633i
\(739\) 1.69067e8 3.51071e8i 0.418915 0.869885i −0.579574 0.814920i \(-0.696781\pi\)
0.998488 0.0549652i \(-0.0175048\pi\)
\(740\) 6.89475e7 2.12675e7i 0.170147 0.0524833i
\(741\) 203783. 2.71930e6i 0.000500857 0.00668348i
\(742\) 1.11798e8 4.89818e8i 0.273666 1.19901i
\(743\) −4.17583e8 + 1.63889e8i −1.01807 + 0.399562i −0.814912 0.579585i \(-0.803215\pi\)
−0.203155 + 0.979147i \(0.565119\pi\)
\(744\) 5.93801e6 + 7.92372e7i 0.0144186 + 0.192402i
\(745\) 2.78721e8 + 4.20104e7i 0.674063 + 0.101599i
\(746\) −6.60787e8 + 6.13121e8i −1.59164 + 1.47683i
\(747\) 3.10243e7 1.49405e7i 0.0744286 0.0358429i
\(748\) 1.44258e7 + 9.83533e6i 0.0344695 + 0.0235009i
\(749\) −5.93327e7 2.32864e7i −0.141205 0.0554187i
\(750\) −3.43297e7 + 1.11294e8i −0.0813740 + 0.263808i
\(751\) −4.42328e8 + 4.76716e8i −1.04430 + 1.12549i −0.0523777 + 0.998627i \(0.516680\pi\)
−0.991921 + 0.126859i \(0.959511\pi\)
\(752\) 5.26925e8 + 6.60743e8i 1.23907 + 1.55374i
\(753\) 1.02218e7 8.15157e6i 0.0239409 0.0190922i
\(754\) 1.71546e7 + 1.59172e7i 0.0400191 + 0.0371323i
\(755\) 2.22071e7 + 6.85000e6i 0.0516003 + 0.0159166i
\(756\) 1.88776e7 4.80994e7i 0.0436900 0.111320i
\(757\) 8.65855e6 1.26998e7i 0.0199599 0.0292757i −0.816129 0.577870i \(-0.803884\pi\)
0.836089 + 0.548594i \(0.184837\pi\)
\(758\) −2.02543e8 4.20585e8i −0.465061 0.965709i
\(759\) 8.26323e6 + 8.90564e6i 0.0188984 + 0.0203676i
\(760\) 1.81467e7 1.20396e8i 0.0413388 0.274265i
\(761\) 8.32355e8 6.23764e7i 1.88866 0.141536i 0.920321 0.391164i \(-0.127927\pi\)
0.968342 + 0.249628i \(0.0803083\pi\)
\(762\) −2.98376e7 7.60249e7i −0.0674371 0.171827i
\(763\) −2.94162e8 6.71406e7i −0.662236 0.151151i