Properties

Label 19.7.f.a.3.8
Level $19$
Weight $7$
Character 19.3
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 19.f (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.37102758878\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.8
Character \(\chi\) \(=\) 19.3
Dual form 19.7.f.a.13.8

$q$-expansion

\(f(q)\) \(=\) \(q+(7.32193 - 8.72593i) q^{2} +(-9.97412 - 27.4037i) q^{3} +(-11.4178 - 64.7536i) q^{4} +(-5.58040 + 31.6480i) q^{5} +(-312.152 - 113.614i) q^{6} +(-45.3132 - 78.4847i) q^{7} +(-17.2882 - 9.98136i) q^{8} +(-93.0319 + 78.0631i) q^{9} +O(q^{10})\) \(q+(7.32193 - 8.72593i) q^{2} +(-9.97412 - 27.4037i) q^{3} +(-11.4178 - 64.7536i) q^{4} +(-5.58040 + 31.6480i) q^{5} +(-312.152 - 113.614i) q^{6} +(-45.3132 - 78.4847i) q^{7} +(-17.2882 - 9.98136i) q^{8} +(-93.0319 + 78.0631i) q^{9} +(235.299 + 280.419i) q^{10} +(124.307 - 215.306i) q^{11} +(-1660.60 + 958.750i) q^{12} +(873.915 - 2401.06i) q^{13} +(-1016.63 - 179.260i) q^{14} +(922.932 - 162.738i) q^{15} +(3740.70 - 1361.50i) q^{16} +(2991.23 + 2509.94i) q^{17} +1383.36i q^{18} +(-812.577 + 6810.70i) q^{19} +2113.04 q^{20} +(-1698.81 + 2024.56i) q^{21} +(-968.579 - 2661.15i) q^{22} +(2402.77 + 13626.8i) q^{23} +(-101.091 + 573.316i) q^{24} +(13712.2 + 4990.85i) q^{25} +(-14552.8 - 25206.1i) q^{26} +(-15344.0 - 8858.88i) q^{27} +(-4564.79 + 3830.31i) q^{28} +(-18852.1 - 22467.1i) q^{29} +(5337.60 - 9245.00i) q^{30} +(-27056.5 + 15621.1i) q^{31} +(15945.7 - 43810.5i) q^{32} +(-7140.03 - 1258.98i) q^{33} +(43803.2 - 7723.68i) q^{34} +(2736.75 - 996.096i) q^{35} +(6117.08 + 5132.84i) q^{36} +44085.6i q^{37} +(53480.1 + 56957.9i) q^{38} -74514.5 q^{39} +(412.366 - 491.438i) q^{40} +(35.5838 + 97.7657i) q^{41} +(5227.64 + 29647.4i) q^{42} +(-20232.0 + 114742. i) q^{43} +(-15361.2 - 5591.00i) q^{44} +(-1951.39 - 3379.90i) q^{45} +(136499. + 78807.8i) q^{46} +(48012.0 - 40286.9i) q^{47} +(-74620.4 - 88929.1i) q^{48} +(54717.9 - 94774.2i) q^{49} +(143950. - 83109.5i) q^{50} +(38946.7 - 107005. i) q^{51} +(-165456. - 29174.3i) q^{52} +(58714.0 - 10352.9i) q^{53} +(-189650. + 69026.9i) q^{54} +(6120.33 + 5135.57i) q^{55} +1809.15i q^{56} +(194743. - 45663.1i) q^{57} -334080. q^{58} +(-130219. + 155189. i) q^{59} +(-21075.7 - 57905.0i) q^{60} +(13673.9 + 77548.4i) q^{61} +(-61797.3 + 350470. i) q^{62} +(10342.3 + 3764.30i) q^{63} +(-138149. - 239282. i) q^{64} +(71112.1 + 41056.6i) q^{65} +(-63264.6 + 53085.3i) q^{66} +(-165255. - 196943. i) q^{67} +(128374. - 222351. i) q^{68} +(349458. - 201760. i) q^{69} +(11346.4 - 31174.1i) q^{70} +(447787. + 78956.9i) q^{71} +(2387.53 - 420.986i) q^{72} +(-331555. + 120676. i) q^{73} +(384688. + 322791. i) q^{74} -425545. i q^{75} +(450295. - 25145.9i) q^{76} -22531.0 q^{77} +(-545590. + 650208. i) q^{78} +(-273242. - 750725. i) q^{79} +(22214.3 + 125983. i) q^{80} +(-105096. + 596031. i) q^{81} +(1113.64 + 405.332i) q^{82} +(-110677. - 191698. i) q^{83} +(150494. + 86888.0i) q^{84} +(-96127.0 + 80660.2i) q^{85} +(853090. + 1.01667e6i) q^{86} +(-427647. + 740707. i) q^{87} +(-4298.09 + 2481.51i) q^{88} +(436029. - 1.19798e6i) q^{89} +(-43780.7 - 7719.72i) q^{90} +(-228047. + 40210.8i) q^{91} +(854948. - 311176. i) q^{92} +(697941. + 585642. i) q^{93} -713928. i q^{94} +(-211011. - 63722.9i) q^{95} -1.35961e6 q^{96} +(-1.00116e6 + 1.19313e6i) q^{97} +(-426353. - 1.17140e6i) q^{98} +(5242.93 + 29734.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} + O(q^{10}) \) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} - 1689 q^{10} + 1677 q^{11} - 9 q^{12} - 10506 q^{13} + 6105 q^{14} + 24138 q^{15} + 23760 q^{16} - 3438 q^{17} - 30918 q^{19} - 76650 q^{20} - 59055 q^{21} + 20490 q^{22} + 42498 q^{23} + 31848 q^{24} + 7914 q^{25} + 109989 q^{26} + 124821 q^{27} - 109476 q^{28} - 27726 q^{29} - 153516 q^{30} - 30789 q^{31} - 114375 q^{32} + 126039 q^{33} + 359796 q^{34} + 160161 q^{35} + 184995 q^{36} - 245244 q^{38} - 390564 q^{39} - 372678 q^{40} - 24708 q^{41} - 244893 q^{42} - 30726 q^{43} - 301419 q^{44} + 293037 q^{45} + 69246 q^{46} - 71454 q^{47} + 1024041 q^{48} - 350346 q^{49} - 104148 q^{50} - 180672 q^{51} + 921801 q^{52} + 822558 q^{53} + 308469 q^{54} + 623517 q^{55} - 17862 q^{57} - 1150644 q^{58} - 463812 q^{59} - 908130 q^{60} - 583698 q^{61} - 429732 q^{62} - 2576043 q^{63} - 328293 q^{64} - 1056789 q^{65} - 1038756 q^{66} + 1120464 q^{67} + 717270 q^{68} + 3771567 q^{69} + 4845345 q^{70} + 94494 q^{71} + 2351634 q^{72} + 950850 q^{73} + 55149 q^{74} - 218814 q^{76} - 343086 q^{77} + 1833471 q^{78} - 4936494 q^{79} - 9642039 q^{80} - 769551 q^{81} - 8627793 q^{82} - 412131 q^{83} - 3125205 q^{84} - 896910 q^{85} + 8878236 q^{86} + 610737 q^{87} + 13604751 q^{88} + 6653022 q^{89} + 3142734 q^{90} + 3409821 q^{91} - 3043740 q^{92} - 816393 q^{93} + 4839186 q^{95} - 5667138 q^{96} - 853656 q^{97} - 17679315 q^{98} - 13991937 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.32193 8.72593i 0.915241 1.09074i −0.0803338 0.996768i \(-0.525599\pi\)
0.995575 0.0939736i \(-0.0299569\pi\)
\(3\) −9.97412 27.4037i −0.369412 1.01495i −0.975586 0.219619i \(-0.929519\pi\)
0.606174 0.795332i \(-0.292704\pi\)
\(4\) −11.4178 64.7536i −0.178403 1.01177i
\(5\) −5.58040 + 31.6480i −0.0446432 + 0.253184i −0.998959 0.0456154i \(-0.985475\pi\)
0.954316 + 0.298800i \(0.0965862\pi\)
\(6\) −312.152 113.614i −1.44515 0.525992i
\(7\) −45.3132 78.4847i −0.132108 0.228818i 0.792381 0.610027i \(-0.208841\pi\)
−0.924489 + 0.381208i \(0.875508\pi\)
\(8\) −17.2882 9.98136i −0.0337661 0.0194948i
\(9\) −93.0319 + 78.0631i −0.127616 + 0.107082i
\(10\) 235.299 + 280.419i 0.235299 + 0.280419i
\(11\) 124.307 215.306i 0.0933937 0.161763i −0.815543 0.578696i \(-0.803562\pi\)
0.908937 + 0.416933i \(0.136895\pi\)
\(12\) −1660.60 + 958.750i −0.960998 + 0.554832i
\(13\) 873.915 2401.06i 0.397777 1.09288i −0.565588 0.824688i \(-0.691351\pi\)
0.963365 0.268194i \(-0.0864270\pi\)
\(14\) −1016.63 179.260i −0.370493 0.0653279i
\(15\) 922.932 162.738i 0.273461 0.0482186i
\(16\) 3740.70 1361.50i 0.913256 0.332398i
\(17\) 2991.23 + 2509.94i 0.608841 + 0.510878i 0.894274 0.447521i \(-0.147693\pi\)
−0.285433 + 0.958399i \(0.592137\pi\)
\(18\) 1383.36i 0.237202i
\(19\) −812.577 + 6810.70i −0.118469 + 0.992958i
\(20\) 2113.04 0.264130
\(21\) −1698.81 + 2024.56i −0.183437 + 0.218612i
\(22\) −968.579 2661.15i −0.0909635 0.249920i
\(23\) 2402.77 + 13626.8i 0.197482 + 1.11998i 0.908839 + 0.417147i \(0.136970\pi\)
−0.711357 + 0.702831i \(0.751919\pi\)
\(24\) −101.091 + 573.316i −0.00731272 + 0.0414725i
\(25\) 13712.2 + 4990.85i 0.877583 + 0.319414i
\(26\) −14552.8 25206.1i −0.827991 1.43412i
\(27\) −15344.0 8858.88i −0.779558 0.450078i
\(28\) −4564.79 + 3830.31i −0.207944 + 0.174486i
\(29\) −18852.1 22467.1i −0.772977 0.921198i 0.225617 0.974216i \(-0.427560\pi\)
−0.998594 + 0.0530185i \(0.983116\pi\)
\(30\) 5337.60 9245.00i 0.197689 0.342407i
\(31\) −27056.5 + 15621.1i −0.908211 + 0.524356i −0.879855 0.475242i \(-0.842361\pi\)
−0.0283562 + 0.999598i \(0.509027\pi\)
\(32\) 15945.7 43810.5i 0.486624 1.33699i
\(33\) −7140.03 1258.98i −0.198682 0.0350330i
\(34\) 43803.2 7723.68i 1.11447 0.196511i
\(35\) 2736.75 996.096i 0.0638310 0.0232326i
\(36\) 6117.08 + 5132.84i 0.131110 + 0.110015i
\(37\) 44085.6i 0.870345i 0.900347 + 0.435172i \(0.143313\pi\)
−0.900347 + 0.435172i \(0.856687\pi\)
\(38\) 53480.1 + 56957.9i 0.974633 + 1.03801i
\(39\) −74514.5 −1.25617
\(40\) 412.366 491.438i 0.00644321 0.00767872i
\(41\) 35.5838 + 97.7657i 0.000516299 + 0.00141852i 0.939951 0.341311i \(-0.110871\pi\)
−0.939434 + 0.342729i \(0.888649\pi\)
\(42\) 5227.64 + 29647.4i 0.0705599 + 0.400165i
\(43\) −20232.0 + 114742.i −0.254469 + 1.44316i 0.542964 + 0.839756i \(0.317302\pi\)
−0.797433 + 0.603408i \(0.793809\pi\)
\(44\) −15361.2 5591.00i −0.180329 0.0656344i
\(45\) −1951.39 3379.90i −0.0214144 0.0370908i
\(46\) 136499. + 78807.8i 1.40235 + 0.809647i
\(47\) 48012.0 40286.9i 0.462441 0.388034i −0.381587 0.924333i \(-0.624622\pi\)
0.844028 + 0.536299i \(0.180178\pi\)
\(48\) −74620.4 88929.1i −0.674736 0.804119i
\(49\) 54717.9 94774.2i 0.465095 0.805568i
\(50\) 143950. 83109.5i 1.15160 0.664876i
\(51\) 38946.7 107005.i 0.293603 0.806668i
\(52\) −165456. 29174.3i −1.17672 0.207487i
\(53\) 58714.0 10352.9i 0.394379 0.0695397i 0.0270579 0.999634i \(-0.491386\pi\)
0.367321 + 0.930094i \(0.380275\pi\)
\(54\) −189650. + 69026.9i −1.20440 + 0.438366i
\(55\) 6120.33 + 5135.57i 0.0367863 + 0.0308674i
\(56\) 1809.15i 0.0103017i
\(57\) 194743. 45663.1i 1.05157 0.246571i
\(58\) −334080. −1.71225
\(59\) −130219. + 155189.i −0.634043 + 0.755623i −0.983417 0.181361i \(-0.941950\pi\)
0.349374 + 0.936983i \(0.386394\pi\)
\(60\) −21075.7 57905.0i −0.0975727 0.268079i
\(61\) 13673.9 + 77548.4i 0.0602424 + 0.341651i 1.00000 0.000190118i \(-6.05164e-5\pi\)
−0.939758 + 0.341841i \(0.888949\pi\)
\(62\) −61797.3 + 350470.i −0.259295 + 1.47054i
\(63\) 10342.3 + 3764.30i 0.0413615 + 0.0150544i
\(64\) −138149. 239282.i −0.526998 0.912787i
\(65\) 71112.1 + 41056.6i 0.258943 + 0.149501i
\(66\) −63264.6 + 53085.3i −0.220054 + 0.184647i
\(67\) −165255. 196943.i −0.549451 0.654810i 0.417828 0.908526i \(-0.362792\pi\)
−0.967279 + 0.253716i \(0.918347\pi\)
\(68\) 128374. 222351.i 0.408274 0.707152i
\(69\) 349458. 201760.i 1.06377 0.614168i
\(70\) 11346.4 31174.1i 0.0330800 0.0908865i
\(71\) 447787. + 78956.9i 1.25111 + 0.220605i 0.759672 0.650306i \(-0.225359\pi\)
0.491441 + 0.870911i \(0.336470\pi\)
\(72\) 2387.53 420.986i 0.00639664 0.00112790i
\(73\) −331555. + 120676.i −0.852290 + 0.310208i −0.730974 0.682406i \(-0.760934\pi\)
−0.121316 + 0.992614i \(0.538712\pi\)
\(74\) 384688. + 322791.i 0.949321 + 0.796575i
\(75\) 425545.i 1.00870i
\(76\) 450295. 25145.9i 1.02578 0.0572832i
\(77\) −22531.0 −0.0493524
\(78\) −545590. + 650208.i −1.14969 + 1.37015i
\(79\) −273242. 750725.i −0.554199 1.52265i −0.827924 0.560841i \(-0.810478\pi\)
0.273725 0.961808i \(-0.411744\pi\)
\(80\) 22214.3 + 125983.i 0.0433873 + 0.246061i
\(81\) −105096. + 596031.i −0.197757 + 1.12154i
\(82\) 1113.64 + 405.332i 0.00201978 + 0.000735138i
\(83\) −110677. 191698.i −0.193563 0.335261i 0.752865 0.658175i \(-0.228671\pi\)
−0.946429 + 0.322913i \(0.895338\pi\)
\(84\) 150494. + 86888.0i 0.253912 + 0.146596i
\(85\) −96127.0 + 80660.2i −0.156527 + 0.131342i
\(86\) 853090. + 1.01667e6i 1.34122 + 1.59840i
\(87\) −427647. + 740707.i −0.649424 + 1.12483i
\(88\) −4298.09 + 2481.51i −0.00630707 + 0.00364139i
\(89\) 436029. 1.19798e6i 0.618508 1.69934i −0.0921016 0.995750i \(-0.529358\pi\)
0.710609 0.703587i \(-0.248419\pi\)
\(90\) −43780.7 7719.72i −0.0600558 0.0105895i
\(91\) −228047. + 40210.8i −0.302621 + 0.0533603i
\(92\) 854948. 311176.i 1.09793 0.399615i
\(93\) 697941. + 585642.i 0.867700 + 0.728087i
\(94\) 713928.i 0.859549i
\(95\) −211011. 63722.9i −0.246112 0.0743232i
\(96\) −1.35961e6 −1.53674
\(97\) −1.00116e6 + 1.19313e6i −1.09695 + 1.30729i −0.149013 + 0.988835i \(0.547610\pi\)
−0.947937 + 0.318459i \(0.896835\pi\)
\(98\) −426353. 1.17140e6i −0.452993 1.24459i
\(99\) 5242.93 + 29734.1i 0.00540342 + 0.0306443i
\(100\) 166612. 944901.i 0.166612 0.944901i
\(101\) −225523. 82083.7i −0.218891 0.0796697i 0.230247 0.973132i \(-0.426047\pi\)
−0.449138 + 0.893463i \(0.648269\pi\)
\(102\) −648556. 1.12333e6i −0.611149 1.05854i
\(103\) −602565. 347891.i −0.551432 0.318370i 0.198267 0.980148i \(-0.436469\pi\)
−0.749699 + 0.661778i \(0.769802\pi\)
\(104\) −39074.3 + 32787.2i −0.0347369 + 0.0291477i
\(105\) −54593.4 65061.9i −0.0471598 0.0562029i
\(106\) 339561. 588137.i 0.285102 0.493811i
\(107\) −80637.3 + 46556.0i −0.0658240 + 0.0380035i −0.532551 0.846398i \(-0.678766\pi\)
0.466727 + 0.884402i \(0.345433\pi\)
\(108\) −398449. + 1.09473e6i −0.316302 + 0.869032i
\(109\) 1.32388e6 + 233436.i 1.02228 + 0.180255i 0.659567 0.751646i \(-0.270740\pi\)
0.362712 + 0.931901i \(0.381851\pi\)
\(110\) 89625.2 15803.3i 0.0673367 0.0118733i
\(111\) 1.20811e6 439715.i 0.883357 0.321516i
\(112\) −276360. 231894.i −0.196708 0.165057i
\(113\) 637105.i 0.441546i 0.975325 + 0.220773i \(0.0708580\pi\)
−0.975325 + 0.220773i \(0.929142\pi\)
\(114\) 1.02744e6 2.03366e6i 0.693493 1.37266i
\(115\) −444669. −0.292377
\(116\) −1.23957e6 + 1.47727e6i −0.794143 + 0.946423i
\(117\) 106132. + 291596.i 0.0662659 + 0.182064i
\(118\) 400715. + 2.27257e6i 0.243887 + 1.38315i
\(119\) 61449.9 348500.i 0.0364653 0.206805i
\(120\) −17580.2 6398.67i −0.0101737 0.00370293i
\(121\) 854876. + 1.48069e6i 0.482555 + 0.835810i
\(122\) 776801. + 448486.i 0.427790 + 0.246984i
\(123\) 2324.22 1950.25i 0.00124900 0.00104804i
\(124\) 1.32045e6 + 1.57365e6i 0.692558 + 0.825359i
\(125\) −485535. + 840971.i −0.248594 + 0.430577i
\(126\) 108573. 62684.6i 0.0542762 0.0313364i
\(127\) −794711. + 2.18345e6i −0.387970 + 1.06594i 0.579944 + 0.814656i \(0.303074\pi\)
−0.967914 + 0.251282i \(0.919148\pi\)
\(128\) −160990. 28386.8i −0.0767659 0.0135359i
\(129\) 3.34614e6 590015.i 1.55874 0.274849i
\(130\) 878935. 319906.i 0.400061 0.145610i
\(131\) −2.98775e6 2.50702e6i −1.32902 1.11518i −0.984306 0.176471i \(-0.943532\pi\)
−0.344713 0.938708i \(-0.612024\pi\)
\(132\) 476717.i 0.207271i
\(133\) 571356. 244839.i 0.242858 0.104070i
\(134\) −2.92849e6 −1.21711
\(135\) 365992. 436172.i 0.148755 0.177279i
\(136\) −26660.5 73249.0i −0.0105987 0.0291196i
\(137\) 95273.1 + 540320.i 0.0370517 + 0.210131i 0.997713 0.0675917i \(-0.0215315\pi\)
−0.960661 + 0.277723i \(0.910420\pi\)
\(138\) 798165. 4.52662e6i 0.303707 1.72241i
\(139\) −2.15114e6 782950.i −0.800984 0.291534i −0.0910898 0.995843i \(-0.529035\pi\)
−0.709894 + 0.704308i \(0.751257\pi\)
\(140\) −95748.5 165841.i −0.0348938 0.0604378i
\(141\) −1.58289e6 913880.i −0.564667 0.326011i
\(142\) 3.96764e6 3.32924e6i 1.38569 1.16273i
\(143\) −408330. 486628.i −0.139638 0.166414i
\(144\) −241721. + 418674.i −0.0809520 + 0.140213i
\(145\) 816241. 471257.i 0.267741 0.154580i
\(146\) −1.37461e6 + 3.77671e6i −0.441694 + 1.21354i
\(147\) −3.14293e6 554183.i −0.989423 0.174462i
\(148\) 2.85470e6 503360.i 0.880593 0.155272i
\(149\) 2.42353e6 882094.i 0.732639 0.266659i 0.0513577 0.998680i \(-0.483645\pi\)
0.681282 + 0.732021i \(0.261423\pi\)
\(150\) −3.71328e6 3.11581e6i −1.10023 0.923203i
\(151\) 5.96088e6i 1.73133i 0.500626 + 0.865664i \(0.333103\pi\)
−0.500626 + 0.865664i \(0.666897\pi\)
\(152\) 82028.0 109634.i 0.0233578 0.0312187i
\(153\) −474214. −0.132404
\(154\) −164970. + 196604.i −0.0451693 + 0.0538307i
\(155\) −343391. 943458.i −0.0922132 0.253354i
\(156\) 850792. + 4.82508e6i 0.224104 + 1.27096i
\(157\) 265002. 1.50290e6i 0.0684780 0.388358i −0.931235 0.364418i \(-0.881268\pi\)
0.999713 0.0239397i \(-0.00762097\pi\)
\(158\) −8.55143e6 3.11247e6i −2.16804 0.789103i
\(159\) −869327. 1.50572e6i −0.216268 0.374587i
\(160\) 1.29753e6 + 749130.i 0.316780 + 0.182893i
\(161\) 960616. 806053.i 0.230183 0.193146i
\(162\) 4.43142e6 + 5.28116e6i 1.04231 + 1.24218i
\(163\) −1.39572e6 + 2.41745e6i −0.322281 + 0.558207i −0.980958 0.194219i \(-0.937783\pi\)
0.658677 + 0.752426i \(0.271116\pi\)
\(164\) 5924.39 3420.45i 0.00134311 0.000775446i
\(165\) 79688.5 218942.i 0.0177396 0.0487391i
\(166\) −2.48311e6 437840.i −0.542840 0.0957174i
\(167\) 3.64099e6 642005.i 0.781754 0.137844i 0.231492 0.972837i \(-0.425639\pi\)
0.550261 + 0.834992i \(0.314528\pi\)
\(168\) 49577.3 18044.7i 0.0104557 0.00380558i
\(169\) −1.30382e6 1.09404e6i −0.270121 0.226659i
\(170\) 1.42939e6i 0.290939i
\(171\) −456068. 697045.i −0.0912098 0.139403i
\(172\) 7.66094e6 1.50555
\(173\) 1.94415e6 2.31695e6i 0.375485 0.447485i −0.544899 0.838502i \(-0.683432\pi\)
0.920384 + 0.391017i \(0.127876\pi\)
\(174\) 3.33216e6 + 9.15503e6i 0.632525 + 1.73785i
\(175\) −229640. 1.30235e6i −0.0428483 0.243005i
\(176\) 171855. 974639.i 0.0315228 0.178775i
\(177\) 5.55157e6 + 2.02061e6i 1.00114 + 0.364386i
\(178\) −7.26092e6 1.25763e7i −1.28745 2.22993i
\(179\) −7.32338e6 4.22815e6i −1.27689 0.737211i −0.300612 0.953747i \(-0.597191\pi\)
−0.976275 + 0.216536i \(0.930524\pi\)
\(180\) −196580. + 164950.i −0.0337072 + 0.0282837i
\(181\) 5.50309e6 + 6.55832e6i 0.928048 + 1.10600i 0.994130 + 0.108191i \(0.0345057\pi\)
−0.0660820 + 0.997814i \(0.521050\pi\)
\(182\) −1.31886e6 + 2.28434e6i −0.218769 + 0.378919i
\(183\) 1.98873e6 1.14819e6i 0.324505 0.187353i
\(184\) 94474.1 259566.i 0.0151656 0.0416671i
\(185\) −1.39522e6 246015.i −0.220358 0.0388550i
\(186\) 1.02205e7 1.80216e6i 1.58831 0.280062i
\(187\) 912237. 332027.i 0.139503 0.0507749i
\(188\) −3.15691e6 2.64896e6i −0.475104 0.398660i
\(189\) 1.60570e6i 0.237836i
\(190\) −2.10105e6 + 1.37469e6i −0.306320 + 0.200421i
\(191\) 1.17957e7 1.69287 0.846437 0.532489i \(-0.178743\pi\)
0.846437 + 0.532489i \(0.178743\pi\)
\(192\) −5.17928e6 + 6.17242e6i −0.731755 + 0.872071i
\(193\) −2.97498e6 8.17370e6i −0.413821 1.13696i −0.955142 0.296148i \(-0.904298\pi\)
0.541321 0.840816i \(-0.317924\pi\)
\(194\) 3.08079e6 + 1.74721e7i 0.421947 + 2.39298i
\(195\) 415821. 2.35824e6i 0.0560793 0.318041i
\(196\) −6.76173e6 2.46107e6i −0.898028 0.326855i
\(197\) −2.01424e6 3.48876e6i −0.263458 0.456323i 0.703700 0.710497i \(-0.251530\pi\)
−0.967159 + 0.254174i \(0.918196\pi\)
\(198\) 297846. + 171962.i 0.0383704 + 0.0221532i
\(199\) −5.20023e6 + 4.36351e6i −0.659878 + 0.553703i −0.910050 0.414498i \(-0.863957\pi\)
0.250172 + 0.968201i \(0.419513\pi\)
\(200\) −187245. 223150.i −0.0234056 0.0278937i
\(201\) −3.74869e6 + 6.49291e6i −0.461627 + 0.799561i
\(202\) −2.36752e6 + 1.36689e6i −0.287237 + 0.165836i
\(203\) −909073. + 2.49766e6i −0.108670 + 0.298569i
\(204\) −7.37366e6 1.30018e6i −0.868546 0.153148i
\(205\) −3292.66 + 580.586i −0.000382196 + 6.73914e-5i
\(206\) −7.44761e6 + 2.71071e6i −0.851952 + 0.310085i
\(207\) −1.28728e6 1.08016e6i −0.145132 0.121780i
\(208\) 1.01715e7i 1.13030i
\(209\) 1.36538e6 + 1.02157e6i 0.149559 + 0.111900i
\(210\) −967454. −0.104465
\(211\) 6.78025e6 8.08039e6i 0.721770 0.860172i −0.273032 0.962005i \(-0.588026\pi\)
0.994801 + 0.101833i \(0.0324709\pi\)
\(212\) −1.34077e6 3.68373e6i −0.140717 0.386617i
\(213\) −2.30257e6 1.30585e7i −0.238273 1.35131i
\(214\) −184176. + 1.04451e6i −0.0187928 + 0.106579i
\(215\) −3.51844e6 1.28061e6i −0.354026 0.128855i
\(216\) 176847. + 306309.i 0.0175484 + 0.0303947i
\(217\) 2.45203e6 + 1.41568e6i 0.239965 + 0.138544i
\(218\) 1.17303e7 9.84289e6i 1.13224 0.950064i
\(219\) 6.61395e6 + 7.88219e6i 0.629692 + 0.750438i
\(220\) 262666. 454950.i 0.0246681 0.0427263i
\(221\) 8.64062e6 4.98866e6i 0.800512 0.462176i
\(222\) 5.00875e6 1.37614e7i 0.457794 1.25778i
\(223\) 784167. + 138270.i 0.0707121 + 0.0124685i 0.208892 0.977939i \(-0.433014\pi\)
−0.138180 + 0.990407i \(0.544125\pi\)
\(224\) −4.16100e6 + 733697.i −0.370215 + 0.0652789i
\(225\) −1.66528e6 + 606111.i −0.146197 + 0.0532114i
\(226\) 5.55934e6 + 4.66484e6i 0.481613 + 0.404121i
\(227\) 4.06849e6i 0.347821i 0.984762 + 0.173910i \(0.0556403\pi\)
−0.984762 + 0.173910i \(0.944360\pi\)
\(228\) −5.18039e6 1.20889e7i −0.437077 1.01996i
\(229\) −1.69119e7 −1.40827 −0.704137 0.710064i \(-0.748666\pi\)
−0.704137 + 0.710064i \(0.748666\pi\)
\(230\) −3.25583e6 + 3.88015e6i −0.267595 + 0.318908i
\(231\) 224727. + 617432.i 0.0182314 + 0.0500902i
\(232\) 101668. + 576586.i 0.00814177 + 0.0461743i
\(233\) −2.98555e6 + 1.69319e7i −0.236024 + 1.33856i 0.604421 + 0.796665i \(0.293405\pi\)
−0.840445 + 0.541896i \(0.817707\pi\)
\(234\) 3.32154e6 + 1.20894e6i 0.259234 + 0.0943535i
\(235\) 1.00707e6 + 1.74430e6i 0.0775993 + 0.134406i
\(236\) 1.15359e7 + 6.66023e6i 0.877635 + 0.506703i
\(237\) −1.78473e7 + 1.49757e7i −1.34069 + 1.12497i
\(238\) −2.59105e6 3.08790e6i −0.192196 0.229051i
\(239\) −2.96315e6 + 5.13232e6i −0.217050 + 0.375941i −0.953905 0.300110i \(-0.902977\pi\)
0.736855 + 0.676051i \(0.236310\pi\)
\(240\) 3.23084e6 1.86533e6i 0.233712 0.134934i
\(241\) −6.89097e6 + 1.89328e7i −0.492300 + 1.35258i 0.406271 + 0.913753i \(0.366829\pi\)
−0.898570 + 0.438829i \(0.855393\pi\)
\(242\) 1.91797e7 + 3.38190e6i 1.35331 + 0.238625i
\(243\) 4.66165e6 821975.i 0.324878 0.0572848i
\(244\) 4.86541e6 1.77086e6i 0.334927 0.121903i
\(245\) 2.69407e6 + 2.26059e6i 0.183194 + 0.153718i
\(246\) 34560.6i 0.00232154i
\(247\) 1.56428e7 + 7.90302e6i 1.03806 + 0.524448i
\(248\) 623679. 0.0408890
\(249\) −4.14933e6 + 4.94497e6i −0.268769 + 0.320307i
\(250\) 3.78320e6 + 1.03943e7i 0.242125 + 0.665233i
\(251\) −1.87130e6 1.06127e7i −0.118338 0.671126i −0.985043 0.172306i \(-0.944878\pi\)
0.866706 0.498820i \(-0.166233\pi\)
\(252\) 125665. 712683.i 0.00785260 0.0445343i
\(253\) 3.23261e6 + 1.17657e6i 0.199614 + 0.0726536i
\(254\) 1.32338e7 + 2.29217e7i 0.807578 + 1.39877i
\(255\) 3.16917e6 + 1.82972e6i 0.191128 + 0.110348i
\(256\) 1.21196e7 1.01695e7i 0.722384 0.606152i
\(257\) −2.07487e7 2.47273e7i −1.22234 1.45673i −0.848470 0.529244i \(-0.822476\pi\)
−0.373868 0.927482i \(-0.621969\pi\)
\(258\) 1.93518e7 3.35182e7i 1.12684 1.95174i
\(259\) 3.46004e6 1.99766e6i 0.199151 0.114980i
\(260\) 1.84662e6 5.07354e6i 0.105065 0.288663i
\(261\) 3.50770e6 + 618502.i 0.197288 + 0.0347872i
\(262\) −4.37522e7 + 7.71470e6i −2.43274 + 0.428958i
\(263\) 1.14792e7 4.17809e6i 0.631023 0.229673i −0.00665370 0.999978i \(-0.502118\pi\)
0.637676 + 0.770304i \(0.279896\pi\)
\(264\) 110872. + 93032.8i 0.00602574 + 0.00505620i
\(265\) 1.91595e6i 0.102955i
\(266\) 2.04698e6 6.77831e6i 0.108760 0.360144i
\(267\) −3.71780e7 −1.95323
\(268\) −1.08659e7 + 1.29495e7i −0.564497 + 0.672741i
\(269\) −1.12677e7 3.09578e7i −0.578868 1.59043i −0.790092 0.612988i \(-0.789967\pi\)
0.211224 0.977438i \(-0.432255\pi\)
\(270\) −1.12624e6 6.38724e6i −0.0572191 0.324506i
\(271\) 45213.0 256415.i 0.00227172 0.0128836i −0.983651 0.180086i \(-0.942362\pi\)
0.985923 + 0.167203i \(0.0534734\pi\)
\(272\) 1.46066e7 + 5.31637e6i 0.725842 + 0.264185i
\(273\) 3.37649e6 + 5.84825e6i 0.165950 + 0.287434i
\(274\) 5.41238e6 + 3.12484e6i 0.263110 + 0.151906i
\(275\) 2.77909e6 2.33193e6i 0.133630 0.112129i
\(276\) −1.70547e7 2.03250e7i −0.811180 0.966727i
\(277\) 3.81330e6 6.60483e6i 0.179416 0.310758i −0.762265 0.647266i \(-0.775912\pi\)
0.941681 + 0.336508i \(0.109246\pi\)
\(278\) −2.25824e7 + 1.30380e7i −1.05108 + 0.606842i
\(279\) 1.29769e6 3.56538e6i 0.0597529 0.164170i
\(280\) −57256.0 10095.8i −0.00260823 0.000459902i
\(281\) 5.44191e6 959555.i 0.245263 0.0432465i −0.0496651 0.998766i \(-0.515815\pi\)
0.294928 + 0.955519i \(0.404704\pi\)
\(282\) −1.95642e7 + 7.12080e6i −0.872400 + 0.317528i
\(283\) 1.26104e7 + 1.05814e7i 0.556377 + 0.466856i 0.877094 0.480319i \(-0.159479\pi\)
−0.320716 + 0.947175i \(0.603924\pi\)
\(284\) 2.98973e7i 1.30520i
\(285\) 358405. + 6.41805e6i 0.0154824 + 0.277248i
\(286\) −7.23604e6 −0.309316
\(287\) 6060.70 7222.86i 0.000256376 0.000305537i
\(288\) 1.93652e6 + 5.32054e6i 0.0810671 + 0.222730i
\(289\) −1.54378e6 8.75521e6i −0.0639576 0.362721i
\(290\) 1.86430e6 1.05730e7i 0.0764403 0.433514i
\(291\) 4.26819e7 + 1.55349e7i 1.73207 + 0.630420i
\(292\) 1.15999e7 + 2.00915e7i 0.465912 + 0.806983i
\(293\) −1.97966e7 1.14296e7i −0.787023 0.454388i 0.0518905 0.998653i \(-0.483475\pi\)
−0.838913 + 0.544265i \(0.816809\pi\)
\(294\) −2.78480e7 + 2.33673e7i −1.09585 + 0.919530i
\(295\) −4.18475e6 4.98719e6i −0.163006 0.194263i
\(296\) 440034. 762161.i 0.0169672 0.0293881i
\(297\) −3.81474e6 + 2.20244e6i −0.145612 + 0.0840689i
\(298\) 1.00478e7 2.76062e7i 0.379685 1.04318i
\(299\) 3.48185e7 + 6.13945e6i 1.30256 + 0.229676i
\(300\) −2.75556e7 + 4.85879e6i −1.02058 + 0.179955i
\(301\) 9.92224e6 3.61140e6i 0.363840 0.132427i
\(302\) 5.20142e7 + 4.36451e7i 1.88843 + 1.58458i
\(303\) 6.99888e6i 0.251594i
\(304\) 6.23318e6 + 2.65831e7i 0.221865 + 0.946204i
\(305\) −2.53056e6 −0.0891901
\(306\) −3.47216e6 + 4.13796e6i −0.121181 + 0.144418i
\(307\) −357689. 982741.i −0.0123620 0.0339644i 0.933358 0.358946i \(-0.116864\pi\)
−0.945720 + 0.324982i \(0.894642\pi\)
\(308\) 257254. + 1.45896e6i 0.00880462 + 0.0499335i
\(309\) −3.52344e6 + 1.99824e7i −0.119424 + 0.677286i
\(310\) −1.07468e7 3.91153e6i −0.360741 0.131299i
\(311\) 7.63569e6 + 1.32254e7i 0.253844 + 0.439671i 0.964581 0.263787i \(-0.0849716\pi\)
−0.710737 + 0.703458i \(0.751638\pi\)
\(312\) 1.28822e6 + 743756.i 0.0424158 + 0.0244887i
\(313\) 1.65990e7 1.39282e7i 0.541313 0.454216i −0.330674 0.943745i \(-0.607276\pi\)
0.871987 + 0.489530i \(0.162831\pi\)
\(314\) −1.11739e7 1.33165e7i −0.360924 0.430133i
\(315\) −176847. + 306308.i −0.00565804 + 0.00980002i
\(316\) −4.54923e7 + 2.62650e7i −1.44171 + 0.832370i
\(317\) 1.77981e7 4.89000e7i 0.558724 1.53508i −0.262768 0.964859i \(-0.584635\pi\)
0.821491 0.570221i \(-0.193142\pi\)
\(318\) −1.95039e7 3.43907e6i −0.606514 0.106945i
\(319\) −7.18075e6 + 1.26616e6i −0.221207 + 0.0390047i
\(320\) 8.34372e6 3.03687e6i 0.254630 0.0926778i
\(321\) 2.08009e6 + 1.74540e6i 0.0628879 + 0.0527692i
\(322\) 1.42841e7i 0.427845i
\(323\) −1.95251e7 + 1.83329e7i −0.579409 + 0.544030i
\(324\) 3.97951e7 1.17002
\(325\) 2.39667e7 2.85624e7i 0.698164 0.832040i
\(326\) 1.08752e7 + 2.98794e7i 0.313895 + 0.862419i
\(327\) −6.80754e6 3.86075e7i −0.194692 1.10415i
\(328\) 360.654 2045.37i 1.02204e−5 5.79630e-5i
\(329\) −5.33748e6 1.94269e6i −0.149882 0.0545525i
\(330\) −1.32700e6 2.29844e6i −0.0369258 0.0639574i
\(331\) 7.57941e6 + 4.37597e6i 0.209002 + 0.120668i 0.600848 0.799364i \(-0.294830\pi\)
−0.391845 + 0.920031i \(0.628163\pi\)
\(332\) −1.11494e7 + 9.35550e6i −0.304677 + 0.255654i
\(333\) −3.44146e6 4.10137e6i −0.0931986 0.111070i
\(334\) 2.10570e7 3.64717e7i 0.565140 0.978852i
\(335\) 7.15503e6 4.13096e6i 0.190317 0.109880i
\(336\) −3.59829e6 + 9.88622e6i −0.0948589 + 0.260623i
\(337\) 2.85464e7 + 5.03350e6i 0.745867 + 0.131517i 0.533649 0.845706i \(-0.320820\pi\)
0.212218 + 0.977222i \(0.431931\pi\)
\(338\) −1.90930e7 + 3.36661e6i −0.494452 + 0.0871852i
\(339\) 1.74590e7 6.35457e6i 0.448148 0.163112i
\(340\) 6.32059e6 + 5.30361e6i 0.160813 + 0.134938i
\(341\) 7.76725e6i 0.195886i
\(342\) −9.42166e6 1.12409e6i −0.235532 0.0281010i
\(343\) −2.05799e7 −0.509988
\(344\) 1.49505e6 1.78174e6i 0.0367267 0.0437691i
\(345\) 4.43518e6 + 1.21856e7i 0.108008 + 0.296748i
\(346\) −5.98262e6 3.39291e7i −0.144432 0.819113i
\(347\) −1.04524e7 + 5.92783e7i −0.250165 + 1.41875i 0.558021 + 0.829827i \(0.311561\pi\)
−0.808186 + 0.588928i \(0.799550\pi\)
\(348\) 5.28462e7 + 1.92345e7i 1.25394 + 0.456396i
\(349\) −2.50693e7 4.34214e7i −0.589748 1.02147i −0.994265 0.106943i \(-0.965894\pi\)
0.404517 0.914530i \(-0.367440\pi\)
\(350\) −1.30456e7 7.53191e6i −0.304272 0.175671i
\(351\) −3.46801e7 + 2.91001e7i −0.801972 + 0.672934i
\(352\) −7.45050e6 8.87916e6i −0.170827 0.203584i
\(353\) −3.87723e7 + 6.71556e7i −0.881450 + 1.52672i −0.0317205 + 0.999497i \(0.510099\pi\)
−0.849729 + 0.527219i \(0.823235\pi\)
\(354\) 5.82799e7 3.36479e7i 1.31374 0.758487i
\(355\) −4.99766e6 + 1.37310e7i −0.111707 + 0.306914i
\(356\) −8.25520e7 1.45561e7i −1.82969 0.322624i
\(357\) −1.01631e7 + 1.79203e6i −0.223368 + 0.0393858i
\(358\) −9.05158e7 + 3.29451e7i −1.97276 + 0.718028i
\(359\) −5.29748e7 4.44512e7i −1.14495 0.960727i −0.145360 0.989379i \(-0.546434\pi\)
−0.999589 + 0.0286523i \(0.990878\pi\)
\(360\) 77910.0i 0.00166988i
\(361\) −4.57253e7 1.10684e7i −0.971930 0.235269i
\(362\) 9.75207e7 2.05575
\(363\) 3.20497e7 3.81953e7i 0.670045 0.798528i
\(364\) 5.20758e6 + 1.43077e7i 0.107977 + 0.296665i
\(365\) −1.96895e6 1.11665e7i −0.0404909 0.229635i
\(366\) 4.54226e6 2.57605e7i 0.0926465 0.525424i
\(367\) 1.70153e7 + 6.19308e6i 0.344225 + 0.125288i 0.508347 0.861152i \(-0.330257\pi\)
−0.164122 + 0.986440i \(0.552479\pi\)
\(368\) 2.75409e7 + 4.77023e7i 0.552631 + 0.957184i
\(369\) −10942.3 6317.56i −0.000217786 0.000125739i
\(370\) −1.23624e7 + 1.03733e7i −0.244061 + 0.204791i
\(371\) −3.47306e6 4.13903e6i −0.0680127 0.0810544i
\(372\) 2.99534e7 5.18809e7i 0.581859 1.00781i
\(373\) −3.79918e6 + 2.19346e6i −0.0732089 + 0.0422672i −0.536158 0.844118i \(-0.680125\pi\)
0.462949 + 0.886385i \(0.346791\pi\)
\(374\) 3.78209e6 1.03912e7i 0.0722964 0.198633i
\(375\) 2.78885e7 + 4.91749e6i 0.528848 + 0.0932502i
\(376\) −1.23216e6 + 217263.i −0.0231795 + 0.00408717i
\(377\) −7.04200e7 + 2.56308e7i −1.31423 + 0.478342i
\(378\) 1.40112e7 + 1.17568e7i 0.259418 + 0.217677i
\(379\) 4.32482e7i 0.794421i −0.917728 0.397211i \(-0.869978\pi\)
0.917728 0.397211i \(-0.130022\pi\)
\(380\) −1.71701e6 + 1.43913e7i −0.0312911 + 0.262270i
\(381\) 6.77611e7 1.22520
\(382\) 8.63675e7 1.02929e8i 1.54939 1.84649i
\(383\) −5.09521e6 1.39990e7i −0.0906913 0.249172i 0.886051 0.463587i \(-0.153438\pi\)
−0.976743 + 0.214415i \(0.931216\pi\)
\(384\) 827828. + 4.69485e6i 0.0146200 + 0.0829139i
\(385\) 125732. 713061.i 0.00220325 0.0124952i
\(386\) −9.31058e7 3.38877e7i −1.61888 0.589224i
\(387\) −7.07486e6 1.22540e7i −0.122063 0.211420i
\(388\) 8.86906e7 + 5.12055e7i 1.51839 + 0.876641i
\(389\) 5.19804e7 4.36167e7i 0.883061 0.740976i −0.0837452 0.996487i \(-0.526688\pi\)
0.966806 + 0.255511i \(0.0822437\pi\)
\(390\) −1.75332e7 2.08953e7i −0.295575 0.352252i
\(391\) −2.70152e7 + 4.67917e7i −0.451937 + 0.782777i
\(392\) −1.89195e6 + 1.09232e6i −0.0314088 + 0.0181339i
\(393\) −3.89014e7 + 1.06881e8i −0.640897 + 1.76085i
\(394\) −4.51908e7 7.96835e6i −0.738858 0.130281i
\(395\) 2.52838e7 4.45821e6i 0.410252 0.0723385i
\(396\) 1.86553e6 678997.i 0.0300411 0.0109341i
\(397\) −1.64243e7 1.37816e7i −0.262491 0.220256i 0.502038 0.864846i \(-0.332584\pi\)
−0.764529 + 0.644589i \(0.777028\pi\)
\(398\) 7.73262e7i 1.22653i
\(399\) −1.24083e7 1.32152e7i −0.195341 0.208044i
\(400\) 5.80884e7 0.907631
\(401\) 4.60015e7 5.48225e7i 0.713409 0.850208i −0.280563 0.959836i \(-0.590521\pi\)
0.993973 + 0.109627i \(0.0349657\pi\)
\(402\) 2.92091e7 + 8.02514e7i 0.449615 + 1.23531i
\(403\) 1.38621e7 + 7.86159e7i 0.211794 + 1.20114i
\(404\) −2.74024e6 + 1.55407e7i −0.0415570 + 0.235681i
\(405\) −1.82767e7 6.65218e6i −0.275127 0.100138i
\(406\) 1.51382e7 + 2.62202e7i 0.226202 + 0.391794i
\(407\) 9.49189e6 + 5.48015e6i 0.140789 + 0.0812847i
\(408\) −1.74138e6 + 1.46119e6i −0.0256397 + 0.0215142i
\(409\) 4.73854e7 + 5.64717e7i 0.692587 + 0.825393i 0.991666 0.128835i \(-0.0411238\pi\)
−0.299079 + 0.954228i \(0.596679\pi\)
\(410\) −19042.5 + 32982.6i −0.000276295 + 0.000478556i
\(411\) 1.38565e7 8.00005e6i 0.199585 0.115230i
\(412\) −1.56472e7 + 4.29904e7i −0.223741 + 0.614723i
\(413\) 1.80806e7 + 3.18810e6i 0.256663 + 0.0452566i
\(414\) −1.88508e7 + 3.32390e6i −0.265661 + 0.0468432i
\(415\) 6.68449e6 2.43295e6i 0.0935241 0.0340400i
\(416\) −9.12565e7 7.65733e7i −1.26760 1.06365i
\(417\) 6.67583e7i 0.920656i
\(418\) 1.89113e7 4.43431e6i 0.258937 0.0607152i
\(419\) −3.52714e7 −0.479491 −0.239746 0.970836i \(-0.577064\pi\)
−0.239746 + 0.970836i \(0.577064\pi\)
\(420\) −3.58965e6 + 4.27798e6i −0.0484512 + 0.0577419i
\(421\) 1.95145e7 + 5.36155e7i 0.261523 + 0.718529i 0.999065 + 0.0432278i \(0.0137641\pi\)
−0.737542 + 0.675301i \(0.764014\pi\)
\(422\) −2.08644e7 1.18328e8i −0.277632 1.57453i
\(423\) −1.32174e6 + 7.49594e6i −0.0174632 + 0.0990387i
\(424\) −1.11840e6 407063.i −0.0146723 0.00534028i
\(425\) 2.84898e7 + 4.93457e7i 0.371127 + 0.642810i
\(426\) −1.30807e8 7.55216e7i −1.69201 0.976882i
\(427\) 5.46676e6 4.58715e6i 0.0702176 0.0589196i
\(428\) 3.93537e6 + 4.68999e6i 0.0501942 + 0.0598191i
\(429\) −9.26267e6 + 1.60434e7i −0.117318 + 0.203201i
\(430\) −3.69363e7 + 2.13252e7i −0.464566 + 0.268218i
\(431\) 2.59150e7 7.12008e7i 0.323682 0.889310i −0.665990 0.745961i \(-0.731991\pi\)
0.989672 0.143349i \(-0.0457872\pi\)
\(432\) −6.94588e7 1.22475e7i −0.861541 0.151913i
\(433\) 4.53791e7 8.00157e6i 0.558975 0.0985624i 0.112979 0.993597i \(-0.463961\pi\)
0.445996 + 0.895035i \(0.352850\pi\)
\(434\) 3.03068e7 1.10308e7i 0.370741 0.134939i
\(435\) −2.10555e7 1.76676e7i −0.255798 0.214640i
\(436\) 8.83913e7i 1.06647i
\(437\) −9.47603e7 + 5.29172e6i −1.13549 + 0.0634093i
\(438\) 1.17206e8 1.39485
\(439\) 4.03140e7 4.80443e7i 0.476499 0.567870i −0.473231 0.880938i \(-0.656913\pi\)
0.949731 + 0.313069i \(0.101357\pi\)
\(440\) −54549.7 149874.i −0.000640375 0.00175942i
\(441\) 2.30785e6 + 1.30885e7i 0.0269087 + 0.152607i
\(442\) 1.97352e7 1.11924e8i 0.228547 1.29615i
\(443\) −2.31738e7 8.43458e6i −0.266555 0.0970180i 0.205285 0.978702i \(-0.434188\pi\)
−0.471840 + 0.881684i \(0.656410\pi\)
\(444\) −4.22670e7 7.32087e7i −0.482895 0.836399i
\(445\) 3.54805e7 + 2.04847e7i 0.402633 + 0.232460i
\(446\) 6.94815e6 5.83019e6i 0.0783185 0.0657170i
\(447\) −4.83452e7 5.76156e7i −0.541291 0.645086i
\(448\) −1.25200e7 + 2.16852e7i −0.139242 + 0.241174i
\(449\) −4.64537e7 + 2.68201e7i −0.513194 + 0.296292i −0.734145 0.678992i \(-0.762417\pi\)
0.220952 + 0.975285i \(0.429084\pi\)
\(450\) −6.90415e6 + 1.89690e7i −0.0757657 + 0.208165i
\(451\) 25472.9 + 4491.56i 0.000277682 + 4.89629e-5i
\(452\) 4.12549e7 7.27435e6i 0.446745 0.0787732i
\(453\) 1.63350e8 5.94545e7i 1.75721 0.639573i
\(454\) 3.55013e7 + 2.97892e7i 0.379382 + 0.318340i
\(455\) 7.44162e6i 0.0790011i
\(456\) −3.82254e6 1.15436e6i −0.0403141 0.0121744i
\(457\) −1.03671e8 −1.08620 −0.543100 0.839668i \(-0.682750\pi\)
−0.543100 + 0.839668i \(0.682750\pi\)
\(458\) −1.23828e8 + 1.47572e8i −1.28891 + 1.53606i
\(459\) −2.36623e7 6.50116e7i −0.244692 0.672284i
\(460\) 5.07714e6 + 2.87939e7i 0.0521610 + 0.295820i
\(461\) 1.95577e7 1.10917e8i 0.199625 1.13213i −0.706053 0.708159i \(-0.749526\pi\)
0.905677 0.423968i \(-0.139363\pi\)
\(462\) 7.03310e6 + 2.55984e6i 0.0713216 + 0.0259589i
\(463\) −6.09641e7 1.05593e8i −0.614230 1.06388i −0.990519 0.137375i \(-0.956133\pi\)
0.376289 0.926502i \(-0.377200\pi\)
\(464\) −1.01109e8 5.83754e7i −1.01213 0.584354i
\(465\) −2.24292e7 + 1.88203e7i −0.223077 + 0.187184i
\(466\) 1.25887e8 + 1.50026e8i 1.24401 + 1.48255i
\(467\) 3.97262e6 6.88077e6i 0.0390055 0.0675595i −0.845864 0.533399i \(-0.820914\pi\)
0.884869 + 0.465840i \(0.154248\pi\)
\(468\) 1.76701e7 1.02018e7i 0.172386 0.0995269i
\(469\) −7.96878e6 + 2.18941e7i −0.0772456 + 0.212230i
\(470\) 2.25944e7 + 3.98400e6i 0.217624 + 0.0383730i
\(471\) −4.38282e7 + 7.72810e6i −0.419461 + 0.0739622i
\(472\) 3.80025e6 1.38318e6i 0.0361399 0.0131538i
\(473\) 2.21896e7 + 1.86193e7i 0.209684 + 0.175946i
\(474\) 2.65385e8i 2.49196i
\(475\) −4.51334e7 + 8.93345e7i −0.421131 + 0.833563i
\(476\) −2.32682e7 −0.215746
\(477\) −4.65410e6 + 5.54654e6i −0.0428825 + 0.0511054i
\(478\) 2.30883e7 + 6.34347e7i 0.211402 + 0.580822i
\(479\) 2.04920e7 + 1.16216e8i 0.186457 + 1.05745i 0.924069 + 0.382225i \(0.124842\pi\)
−0.737612 + 0.675224i \(0.764047\pi\)
\(480\) 7.58718e6 4.30290e7i 0.0686052 0.389079i
\(481\) 1.05852e8 + 3.85271e7i 0.951184 + 0.346203i
\(482\) 1.14751e8 + 1.98755e8i 1.02474 + 1.77491i
\(483\) −3.16701e7 1.82848e7i −0.281066 0.162274i
\(484\) 8.61191e7 7.22625e7i 0.759562 0.637348i
\(485\) −3.21734e7 3.83428e7i −0.282015 0.336092i
\(486\) 2.69598e7 4.66957e7i 0.234859 0.406788i
\(487\) −1.45462e8 + 8.39825e7i −1.25940 + 0.727113i −0.972957 0.230985i \(-0.925805\pi\)
−0.286440 + 0.958098i \(0.592472\pi\)
\(488\) 537641. 1.47716e6i 0.00462629 0.0127106i
\(489\) 8.01682e7 + 1.41358e7i 0.685607 + 0.120891i
\(490\) 3.94516e7 6.95637e6i 0.335333 0.0591282i
\(491\) 7.82706e7 2.84882e7i 0.661232 0.240669i 0.0104639 0.999945i \(-0.496669\pi\)
0.650768 + 0.759276i \(0.274447\pi\)
\(492\) −152824. 128234.i −0.00128320 0.00107673i
\(493\) 1.14522e8i 0.955759i
\(494\) 1.83497e8 7.86326e7i 1.52211 0.652261i
\(495\) −970284. −0.00799988
\(496\) −7.99421e7 + 9.52713e7i −0.655135 + 0.780759i
\(497\) −1.40937e7 3.87222e7i −0.114804 0.315421i
\(498\) 1.27684e7 + 7.24135e7i 0.103383 + 0.586315i
\(499\) 1.96954e7 1.11698e8i 0.158512 0.898968i −0.796992 0.603990i \(-0.793577\pi\)
0.955504 0.294978i \(-0.0953123\pi\)
\(500\) 5.99996e7 + 2.18381e7i 0.479997 + 0.174705i
\(501\) −5.39090e7 9.33731e7i −0.428694 0.742520i
\(502\) −1.06307e8 6.13764e7i −0.840332 0.485166i
\(503\) −9.05306e7 + 7.59642e7i −0.711363 + 0.596904i −0.924981 0.380013i \(-0.875920\pi\)
0.213618 + 0.976917i \(0.431475\pi\)
\(504\) −141228. 168309.i −0.00110313 0.00131466i
\(505\) 3.85630e6 6.67930e6i 0.0299431 0.0518629i
\(506\) 3.39356e7 1.95927e7i 0.261941 0.151232i
\(507\) −1.69762e7 + 4.66416e7i −0.130261 + 0.357890i
\(508\) 1.50460e8 + 2.65302e7i 1.14770 + 0.202371i
\(509\) 1.48184e8 2.61288e7i 1.12369 0.198137i 0.419231 0.907879i \(-0.362300\pi\)
0.704462 + 0.709742i \(0.251188\pi\)
\(510\) 3.91704e7 1.42569e7i 0.295289 0.107477i
\(511\) 2.44951e7 + 2.05538e7i 0.183576 + 0.154039i
\(512\) 1.90678e8i 1.42066i
\(513\) 7.28034e7 9.73050e7i 0.539261 0.720748i
\(514\) −3.67689e8 −2.70764
\(515\) 1.43726e7 1.71286e7i 0.105224 0.125401i
\(516\) −7.64111e7 2.09938e8i −0.556170 1.52806i
\(517\) −2.70578e6 1.53452e7i −0.0195804 0.111046i
\(518\) 7.90276e6 4.48188e7i 0.0568578 0.322456i
\(519\) −8.28842e7 3.01674e7i −0.592884 0.215792i
\(520\) −819601. 1.41959e6i −0.00582898 0.0100961i
\(521\) 2.23504e8 + 1.29040e8i 1.58042 + 0.912456i 0.994797 + 0.101873i \(0.0324836\pi\)
0.585624 + 0.810583i \(0.300850\pi\)
\(522\) 3.10801e7 2.60793e7i 0.218510 0.183352i
\(523\) 6.13200e7 + 7.30783e7i 0.428644 + 0.510838i 0.936531 0.350586i \(-0.114017\pi\)
−0.507886 + 0.861424i \(0.669573\pi\)
\(524\) −1.28225e8 + 2.22093e8i −0.891209 + 1.54362i
\(525\) −3.33988e7 + 1.92828e7i −0.230809 + 0.133258i
\(526\) 4.75922e7 1.30759e8i 0.327023 0.898489i
\(527\) −1.20140e8 2.11840e7i −0.820838 0.144736i
\(528\) −2.84228e7 + 5.01171e6i −0.193092 + 0.0340474i
\(529\) −4.08074e7 + 1.48527e7i −0.275659 + 0.100332i
\(530\) 1.67185e7 + 1.40285e7i 0.112297 + 0.0942286i
\(531\) 2.46028e7i 0.164324i
\(532\) −2.23779e7 3.42018e7i −0.148622 0.227151i
\(533\) 265839. 0.00175565
\(534\) −2.72215e8 + 3.24413e8i −1.78767 + 2.13047i
\(535\) −1.02342e6 2.81181e6i −0.00668330 0.0183622i
\(536\) 891201. + 5.05425e6i 0.00578737 + 0.0328218i
\(537\) −4.28227e7 + 2.42860e8i −0.276536 + 1.56831i
\(538\) −3.52637e8 1.28349e8i −2.26455 0.824228i
\(539\) −1.36036e7 2.35622e7i −0.0868738 0.150470i
\(540\) −3.24225e7 1.87192e7i −0.205904 0.118879i
\(541\) 1.05759e8 8.87425e7i 0.667923 0.560454i −0.244527 0.969643i \(-0.578633\pi\)
0.912450 + 0.409188i \(0.134188\pi\)
\(542\) −1.90642e6 2.27198e6i −0.0119735 0.0142694i
\(543\) 1.24834e8 2.16218e8i 0.779709 1.35049i
\(544\) 1.57659e8 9.10245e7i 0.979315 0.565408i
\(545\) −1.47756e7 + 4.05955e7i −0.0912756 + 0.250778i
\(546\) 7.57538e7 + 1.33574e7i 0.465400 + 0.0820626i
\(547\) −2.46926e8 + 4.35398e7i −1.50871 + 0.266026i −0.865984 0.500071i \(-0.833307\pi\)
−0.642725 + 0.766097i \(0.722196\pi\)
\(548\) 3.38999e7 1.23385e7i 0.205995 0.0749760i
\(549\) −7.32577e6 6.14705e6i −0.0442727 0.0371492i
\(550\) 4.13244e7i 0.248381i
\(551\) 1.68335e8 1.10140e8i 1.00628 0.658400i
\(552\) −8.05535e6 −0.0478924
\(553\) −4.65390e7 + 5.54630e7i −0.275196 + 0.327966i
\(554\) −2.97126e7 8.16347e7i −0.174748 0.480115i
\(555\) 7.17439e6 + 4.06880e7i 0.0419668 + 0.238006i
\(556\) −2.61376e7 + 1.48233e8i −0.152069 + 0.862426i
\(557\) 1.52907e8 + 5.56536e7i 0.884835 + 0.322053i 0.744159 0.668002i \(-0.232850\pi\)
0.140675 + 0.990056i \(0.455073\pi\)
\(558\) −2.16096e7 3.74290e7i −0.124378 0.215430i
\(559\) 2.57821e8 + 1.48853e8i 1.47599 + 0.852161i
\(560\) 8.88118e6 7.45219e6i 0.0505716 0.0424346i
\(561\) −1.81975e7 2.16870e7i −0.103068 0.122832i
\(562\) 3.14722e7 5.45115e7i 0.177304 0.307100i
\(563\) 2.05673e8 1.18745e8i 1.15253 0.665413i 0.203027 0.979173i \(-0.434922\pi\)
0.949502 + 0.313760i \(0.101589\pi\)
\(564\) −4.11039e7 + 1.12932e8i −0.229111 + 0.629477i
\(565\) −2.01631e7 3.55530e6i −0.111792 0.0197120i
\(566\) 1.84665e8 3.25614e7i 1.01844 0.179578i
\(567\) 5.15415e7 1.87596e7i 0.282754 0.102914i
\(568\) −6.95334e6 5.83455e6i −0.0379445 0.0318392i
\(569\) 9.94382e7i 0.539779i 0.962891 + 0.269890i \(0.0869872\pi\)
−0.962891 + 0.269890i \(0.913013\pi\)
\(570\) 5.86277e7 + 4.38651e7i 0.316576 + 0.236861i
\(571\) −3.43503e8 −1.84511 −0.922554 0.385868i \(-0.873902\pi\)
−0.922554 + 0.385868i \(0.873902\pi\)
\(572\) −2.68487e7 + 3.19970e7i −0.143461 + 0.170971i
\(573\) −1.17652e8 3.23246e8i −0.625368 1.71818i
\(574\) −18650.2 105771.i −9.86161e−5 0.000559280i
\(575\) −3.50618e7 + 1.98845e8i −0.184430 + 1.04595i
\(576\) 3.15314e7 + 1.14765e7i 0.164997 + 0.0600539i
\(577\) −5.62150e7 9.73672e7i −0.292634 0.506857i 0.681798 0.731541i \(-0.261198\pi\)
−0.974432 + 0.224684i \(0.927865\pi\)
\(578\) −8.77008e7 5.06341e7i −0.454172 0.262216i
\(579\) −1.94317e8 + 1.63051e8i −1.00109 + 0.840016i
\(580\) −3.98353e7 4.74738e7i −0.204166 0.243316i
\(581\) −1.00302e7 + 1.73729e7i −0.0511426 + 0.0885816i
\(582\) 4.48070e8 2.58693e8i 2.27288 1.31225i
\(583\) 5.06953e6 1.39284e7i 0.0255836 0.0702904i
\(584\) 6.93651e6 + 1.22309e6i 0.0348259 + 0.00614075i
\(585\) −9.82070e6 + 1.73165e6i −0.0490540 + 0.00864955i
\(586\) −2.44683e8 + 8.90572e7i −1.21594 + 0.442564i
\(587\) 1.24250e7 + 1.04258e7i 0.0614303 + 0.0515462i 0.672986 0.739655i \(-0.265011\pi\)
−0.611556 + 0.791202i \(0.709456\pi\)
\(588\) 2.09843e8i 1.03220i
\(589\) −8.44050e7 1.96967e8i −0.413069 0.963935i
\(590\) −7.41584e7 −0.361081
\(591\) −7.55146e7 + 8.99948e7i −0.365821 + 0.435968i
\(592\) 6.00226e7 + 1.64911e8i 0.289301 + 0.794848i
\(593\) 2.47707e7 + 1.40481e8i 0.118788 + 0.673682i 0.984805 + 0.173666i \(0.0555614\pi\)
−0.866016 + 0.500016i \(0.833327\pi\)
\(594\) −8.71290e6 + 4.94133e7i −0.0415722 + 0.235768i
\(595\) 1.06864e7 + 3.88954e6i 0.0507319 + 0.0184649i
\(596\) −8.47902e7 1.46861e8i −0.400504 0.693693i
\(597\) 1.71444e8 + 9.89833e7i 0.805748 + 0.465199i
\(598\) 3.08511e8 2.58872e8i 1.44267 1.21055i
\(599\) 1.72934e8 + 2.06095e8i 0.804638 + 0.958931i 0.999761 0.0218481i \(-0.00695502\pi\)
−0.195123 + 0.980779i \(0.562511\pi\)
\(600\) −4.24752e6 + 7.35692e6i −0.0196644 + 0.0340598i
\(601\) −1.40948e8 + 8.13766e7i −0.649287 + 0.374866i −0.788183 0.615441i \(-0.788978\pi\)
0.138896 + 0.990307i \(0.455645\pi\)
\(602\) 4.11371e7 1.13023e8i 0.188558 0.518058i
\(603\) 3.07479e7 + 5.42169e6i 0.140237 + 0.0247276i
\(604\) 3.85988e8 6.80601e7i 1.75171 0.308874i
\(605\) −5.16314e7 + 1.87923e7i −0.233157 + 0.0848621i
\(606\) 6.10717e7 + 5.12453e7i 0.274424 + 0.230269i
\(607\) 2.82405e8i 1.26272i −0.775490 0.631359i \(-0.782497\pi\)
0.775490 0.631359i \(-0.217503\pi\)
\(608\) 2.85423e8 + 1.44201e8i 1.26992 + 0.641589i
\(609\) 7.75122e7 0.343177
\(610\) −1.85286e7 + 2.20815e7i −0.0816305 + 0.0972834i
\(611\) −5.47729e7 1.50487e8i −0.240128 0.659745i
\(612\) 5.41448e6 + 3.07071e7i 0.0236212 + 0.133963i
\(613\) −2.79189e7 + 1.58336e8i −0.121204 + 0.687381i 0.862286 + 0.506421i \(0.169032\pi\)
−0.983490 + 0.180961i \(0.942079\pi\)
\(614\) −1.11943e7 4.07439e6i −0.0483606 0.0176018i
\(615\) 48751.6 + 84440.3i 0.000209587 + 0.000363015i
\(616\) 389521. + 224890.i 0.00166643 + 0.000962117i
\(617\) −2.68006e8 + 2.24884e8i −1.14101 + 0.957419i −0.999471 0.0325138i \(-0.989649\pi\)
−0.141537 + 0.989933i \(0.545204\pi\)
\(618\) 1.48567e8 + 1.77055e8i 0.629443 + 0.750141i
\(619\) −5.61877e7 + 9.73200e7i −0.236902 + 0.410327i −0.959824 0.280603i \(-0.909466\pi\)
0.722921 + 0.690930i \(0.242799\pi\)
\(620\) −5.71715e7 + 3.30080e7i −0.239886 + 0.138498i
\(621\) 8.38498e7 2.30375e8i 0.350128 0.961970i
\(622\) 1.71312e8 + 3.02069e7i 0.711896 + 0.125526i
\(623\) −1.13781e8 + 2.00626e7i −0.470550 + 0.0829706i
\(624\) −2.78736e8 + 1.01452e8i −1.14720 + 0.417547i
\(625\) 1.50756e8 + 1.26499e8i 0.617495 + 0.518140i
\(626\) 2.46823e8i 1.00615i
\(627\) 1.43764e7 4.76056e7i 0.0583239 0.193132i
\(628\) −1.00344e8 −0.405147
\(629\) −1.10652e8 + 1.31870e8i −0.444640 + 0.529901i
\(630\) 1.37796e6 + 3.78592e6i 0.00551081 + 0.0151408i
\(631\) 7.81845e7 + 4.43406e8i 0.311195 + 1.76487i 0.592806 + 0.805345i \(0.298020\pi\)
−0.281611 + 0.959529i \(0.590869\pi\)
\(632\) −2.76940e6 + 1.57060e7i −0.0109707 + 0.0622179i
\(633\) −2.89060e8 1.05209e8i −1.13966 0.414803i
\(634\) −2.96381e8 5.13348e8i −1.16301 2.01439i
\(635\) −6.46671e7 3.73356e7i −0.252559 0.145815i
\(636\) −8.75748e7 + 7.34840e7i −0.340414 + 0.285642i
\(637\) −1.79740e8 2.14206e8i −0.695387 0.828730i
\(638\) −4.15285e7 + 7.19295e7i −0.159913 + 0.276978i
\(639\) −4.78221e7 + 2.76101e7i −0.183285 + 0.105819i
\(640\) 1.79677e6 4.93660e6i 0.00685415 0.0188316i
\(641\) −5.03235e8 8.87340e7i −1.91072 0.336912i −0.913214 0.407481i \(-0.866407\pi\)
−0.997507 + 0.0705695i \(0.977518\pi\)
\(642\) 3.04605e7 5.37101e6i 0.115115 0.0202979i
\(643\) 1.82655e8 6.64809e7i 0.687065 0.250071i 0.0251871 0.999683i \(-0.491982\pi\)
0.661878 + 0.749611i \(0.269760\pi\)
\(644\) −6.31629e7 5.30000e7i −0.236486 0.198435i
\(645\) 1.09191e8i 0.406919i
\(646\) 1.70102e7 + 3.04606e8i 0.0630975 + 1.12990i
\(647\) 4.86247e8 1.79533 0.897664 0.440681i \(-0.145263\pi\)
0.897664 + 0.440681i \(0.145263\pi\)
\(648\) 7.76612e6 9.25531e6i 0.0285417 0.0340146i
\(649\) 1.72260e7 + 4.73280e7i 0.0630159 + 0.173135i
\(650\) −7.37511e7 4.18263e8i −0.268552 1.52303i
\(651\) 1.43380e7 8.13149e7i 0.0519692 0.294732i
\(652\) 1.72475e8 + 6.27757e7i 0.622276 + 0.226490i
\(653\) −4.85494e7 8.40900e7i −0.174359 0.301998i 0.765580 0.643340i \(-0.222452\pi\)
−0.939939 + 0.341342i \(0.889119\pi\)
\(654\) −3.86731e8 2.23279e8i −1.38253 0.798206i
\(655\) 9.60152e7 8.05663e7i 0.341677 0.286701i
\(656\) 266217. + 317265.i 0.000943026 + 0.00112385i
\(657\) 2.14249e7 3.71090e7i 0.0755479 0.130853i
\(658\) −5.60324e7 + 3.23503e7i −0.196681 + 0.113554i
\(659\) 3.72714e7 1.02402e8i 0.130233 0.357811i −0.857388 0.514670i \(-0.827915\pi\)
0.987621 + 0.156859i \(0.0501367\pi\)
\(660\) −1.50872e7 2.66027e6i −0.0524778 0.00925326i
\(661\) 2.18889e8 3.85961e7i 0.757915 0.133641i 0.218680 0.975797i \(-0.429825\pi\)
0.539234 + 0.842156i \(0.318714\pi\)
\(662\) 9.36803e7 3.40968e7i 0.322905 0.117528i
\(663\) −2.22890e8 1.87027e8i −0.764804 0.641747i
\(664\) 4.41882e6i 0.0150939i
\(665\) 4.56029e6 + 1.94486e7i 0.0155070 + 0.0661338i
\(666\) −6.09863e7 −0.206448
\(667\) 2.60857e8 3.10877e8i 0.879072 1.04764i
\(668\) −8.31442e7 2.28437e8i −0.278935 0.766367i
\(669\) −4.03228e6 2.28682e7i −0.0134670 0.0763754i
\(670\) 1.63422e7 9.26809e7i 0.0543356 0.308153i
\(671\) 1.83964e7 + 6.69574e6i 0.0608927 + 0.0221631i
\(672\) 6.16083e7 + 1.06709e8i 0.203017 + 0.351635i
\(673\) 1.88919e8 + 1.09073e8i 0.619771 + 0.357825i 0.776780 0.629772i \(-0.216852\pi\)
−0.157009 + 0.987597i \(0.550185\pi\)
\(674\) 2.52937e8 2.12239e8i 0.826099 0.693179i
\(675\) −1.66188e8 1.98055e8i −0.540366 0.643983i
\(676\) −5.59561e7 + 9.69187e7i −0.181137 + 0.313738i
\(677\) −3.61663e8 + 2.08806e8i −1.16557 + 0.672942i −0.952633 0.304124i \(-0.901636\pi\)
−0.212937 + 0.977066i \(0.568303\pi\)
\(678\) 7.23842e7 1.98874e8i 0.232250 0.638100i
\(679\) 1.39008e8 + 2.45109e7i 0.444049 + 0.0782979i
\(680\) 2.46696e6 434992.i 0.00784578 0.00138342i
\(681\) 1.11491e8 4.05796e7i 0.353021 0.128489i
\(682\) 6.77765e7 + 5.68712e7i 0.213661 + 0.179283i
\(683\) 2.79371e8i 0.876837i 0.898771 + 0.438418i \(0.144461\pi\)
−0.898771 + 0.438418i \(0.855539\pi\)
\(684\) −3.99288e7 + 3.74908e7i −0.124772 + 0.117154i
\(685\) −1.76317e7 −0.0548559
\(686\) −1.50684e8 + 1.79579e8i −0.466762 + 0.556266i
\(687\) 1.68682e8 + 4.63449e8i 0.520233 + 1.42933i
\(688\) 8.05391e7 + 4.56760e8i 0.247310 + 1.40256i
\(689\) 2.64532e7 1.50023e8i 0.0808761 0.458671i
\(690\) 1.38804e8 + 5.05207e7i 0.422529 + 0.153788i
\(691\) 1.29786e8 + 2.24796e8i 0.393363 + 0.681324i 0.992891 0.119030i \(-0.0379784\pi\)
−0.599528 + 0.800354i \(0.704645\pi\)
\(692\) −1.72229e8 9.94364e7i −0.519742 0.300073i
\(693\) 2.09610e6 1.75884e6i 0.00629814 0.00528477i
\(694\) 4.40727e8 + 5.25238e8i 1.31853 + 1.57137i
\(695\) 3.67830e7 6.37101e7i 0.109570 0.189781i
\(696\) 1.47865e7 8.53701e6i 0.0438570 0.0253208i
\(697\) −138947. + 381754.i −0.000410346 + 0.00112742i
\(698\) −5.62448e8 9.91747e7i −1.65393 0.291632i
\(699\) 4.93775e8 8.70658e7i 1.44576 0.254927i
\(700\) −8.17100e7 + 2.97400e7i −0.238222 + 0.0867056i
\(701\) 3.93585e7 + 3.30257e7i 0.114257 + 0.0958733i 0.698126 0.715975i \(-0.254017\pi\)
−0.583869 + 0.811848i \(0.698462\pi\)
\(702\) 5.15685e8i 1.49064i
\(703\) −3.00253e8 3.58229e7i −0.864216 0.103109i
\(704\) −6.86917e7 −0.196873
\(705\) 3.77556e7 4.49954e7i 0.107749 0.128411i
\(706\) 3.02107e8 + 8.30033e8i 0.858514 + 2.35875i
\(707\) 3.77685e6 + 2.14196e7i 0.0106874 + 0.0606112i
\(708\) 6.74548e7 3.82555e8i 0.190070 1.07794i
\(709\) −1.21658e8 4.42799e7i −0.341352 0.124242i 0.165656 0.986184i \(-0.447026\pi\)
−0.507007 + 0.861942i \(0.669248\pi\)
\(710\) 8.32230e7 + 1.44146e8i 0.232524 + 0.402744i
\(711\) 8.40241e7 + 4.85113e7i 0.233773 + 0.134969i
\(712\) −1.94956e7 + 1.63588e7i −0.0540129 + 0.0453222i
\(713\) −2.77876e8 3.31159e8i −0.766623 0.913626i
\(714\) −5.87762e7 + 1.01803e8i −0.161476 + 0.279684i
\(715\) 1.76795e7 1.02072e7i 0.0483672 0.0279248i
\(716\) −1.90171e8 + 5.22491e8i −0.518091 + 1.42344i
\(717\) 1.70199e8 + 3.00107e7i 0.461743 + 0.0814177i
\(718\) −7.75756e8 + 1.36787e8i −2.09581 + 0.369548i
\(719\) 5.96507e8 2.17111e8i 1.60483 0.584110i 0.624421 0.781088i \(-0.285335\pi\)
0.980408 + 0.196978i \(0.0631128\pi\)
\(720\) −1.19013e7 9.98637e6i −0.0318857 0.0267553i
\(721\) 6.30562e7i 0.168237i
\(722\) −4.31380e8 + 3.17954e8i −1.14617 + 0.844797i
\(723\) 5.87560e8 1.55467
\(724\) 3.61842e8 4.31226e8i 0.953461 1.13629i
\(725\) −1.46375e8 4.02162e8i −0.384108 1.05533i
\(726\) −9.86244e7 5.59327e8i −0.257736 1.46169i
\(727\) 6.11374e7 3.46727e8i 0.159112 0.902370i −0.795817 0.605537i \(-0.792958\pi\)
0.954929 0.296833i \(-0.0959305\pi\)
\(728\) 4.34388e6 + 1.58104e6i 0.0112586 + 0.00409779i
\(729\) 1.51584e8 + 2.62551e8i 0.391264 + 0.677689i
\(730\) −1.11855e8 6.45793e7i −0.287531 0.166006i
\(731\) −3.48514e8 + 2.92438e8i −0.892211 + 0.748654i
\(732\) −9.70564e7 1.15667e8i −0.247452 0.294902i
\(733\) 2.63026e8 4.55574e8i 0.667861 1.15677i −0.310640 0.950528i \(-0.600543\pi\)
0.978501 0.206242i \(-0.0661233\pi\)
\(734\) 1.78626e8 1.03130e8i 0.451705 0.260792i
\(735\) 3.50776e7 9.63748e7i 0.0883421 0.242718i
\(736\) 6.35309e8 + 1.12022e8i 1.59350 + 0.280977i
\(737\) −6.29453e7 + 1.10989e7i −0.157239 + 0.0277255i
\(738\) −135245. + 49225.3i −0.000336476 + 0.000122467i
\(739\) −4.58575e8 3.84790e8i −1.13626 0.953433i −0.136947 0.990578i \(-0.543729\pi\)
−0.999310 + 0.0371454i \(0.988174\pi\)
\(740\) 9.31545e7i 0.229884i
\(741\) 6.05487e7 5.07496e8i 0.148816 1.24732i
\(742\) −6.15464e7 −0.150657
\(743\) 9.76755e7 1.16405e8i 0.238133 0.283796i −0.633721 0.773562i \(-0.718473\pi\)
0.871854 + 0.489766i \(0.162918\pi\)
\(744\) −6.22065e6 1.70911e7i −0.0151049 0.0415003i
\(745\) 1.43922e7 + 8.16225e7i 0.0348065 + 0.197397i
\(746\) −8.67736e6 + 4.92118e7i −0.0209012 + 0.118537i
\(747\) 2.52610e7 + 9.19426e6i 0.0606023 + 0.0220574i
\(748\) −3.19157e7 5.52796e7i −0.0762605 0.132087i
\(749\) 7.30786e6 + 4.21920e6i 0.0173918 + 0.0100412i
\(750\) 2.47107e8 2.07347e8i 0.585735 0.491490i
\(751\) −5.81056e7 6.92475e7i −0.137182 0.163487i 0.693079 0.720861i \(-0.256253\pi\)
−0.830262 + 0.557374i \(0.811809\pi\)
\(752\) 1.24748e8 2.16070e8i 0.293346 0.508089i
\(753\) −2.72162e8 + 1.57133e8i −0.637445 + 0.368029i
\(754\) −2.91958e8 + 8.02147e8i −0.681092 + 1.87129i
\(755\) −1.88650e8 3.32641e7i −0.438345 0.0772920i
\(756\) 1.03975e8 1.83335e7i 0.240637 0.0424307i
\(757\) −4.82747e8 + 1.75706e8i −1.11284 + 0.405040i −0.832034 0.554725i \(-0.812824\pi\)
−0.280805 + 0.959765i \(0.590601\pi\)
\(758\) −3.77381e8 3.16660e8i −0.866508 0.727087i
\(759\) 1.00321e8i 0.229438i
\(760\) 3.01196e6 + 3.20783e6i 0.00686133 + 0.00730753i
\(761\) 8.89026e7 0.201725 0.100863 0.994900i \(-0.467840\pi\)
0.100863 + 0.994900i \(0.467840\pi\)
\(762\) 4.96142e8 5.91279e8i 1.12135 1.33637i
\(763\) −4.16681e7 1.14482e8i −0.0938058 0.257729i
\(764\) −1.34681e8 7.63816e8i