Properties

Label 19.7.f.a.2.1
Level $19$
Weight $7$
Character 19.2
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 2.1
Character \(\chi\) \(=\) 19.2
Dual form 19.7.f.a.10.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.8473 - 2.44165i) q^{2} +(19.5791 - 23.3335i) q^{3} +(125.645 + 45.7311i) q^{4} +(43.8845 - 15.9727i) q^{5} +(-328.090 + 275.300i) q^{6} +(-286.306 - 495.896i) q^{7} +(-848.852 - 490.085i) q^{8} +(-34.5199 - 195.772i) q^{9} +O(q^{10})\) \(q+(-13.8473 - 2.44165i) q^{2} +(19.5791 - 23.3335i) q^{3} +(125.645 + 45.7311i) q^{4} +(43.8845 - 15.9727i) q^{5} +(-328.090 + 275.300i) q^{6} +(-286.306 - 495.896i) q^{7} +(-848.852 - 490.085i) q^{8} +(-34.5199 - 195.772i) q^{9} +(-646.681 + 114.027i) q^{10} +(-671.666 + 1163.36i) q^{11} +(3527.09 - 2036.37i) q^{12} +(-2204.40 - 2627.10i) q^{13} +(2753.75 + 7565.88i) q^{14} +(486.522 - 1336.71i) q^{15} +(4002.36 + 3358.37i) q^{16} +(108.563 - 615.689i) q^{17} +2795.20i q^{18} +(5414.75 - 4210.27i) q^{19} +6244.33 q^{20} +(-17176.6 - 3028.70i) q^{21} +(12141.3 - 14469.4i) q^{22} +(-11079.2 - 4032.50i) q^{23} +(-28055.2 + 10211.2i) q^{24} +(-10298.7 + 8641.65i) q^{25} +(24110.5 + 41760.6i) q^{26} +(13986.3 + 8074.98i) q^{27} +(-13295.1 - 75400.1i) q^{28} +(9134.21 - 1610.61i) q^{29} +(-10000.8 + 17321.9i) q^{30} +(29610.3 - 17095.5i) q^{31} +(-6899.13 - 8222.07i) q^{32} +(13994.6 + 38449.8i) q^{33} +(-3006.59 + 8260.55i) q^{34} +(-20485.2 - 17189.1i) q^{35} +(4615.62 - 26176.5i) q^{36} -19256.2i q^{37} +(-85259.6 + 45079.9i) q^{38} -104460. q^{39} +(-45079.4 - 7948.72i) q^{40} +(61720.5 - 73555.7i) q^{41} +(230454. + 83878.5i) q^{42} +(82814.7 - 30142.1i) q^{43} +(-137593. + 115455. i) q^{44} +(-4641.89 - 8039.99i) q^{45} +(143571. + 82890.6i) q^{46} +(-8680.91 - 49231.9i) q^{47} +(156725. - 27634.9i) q^{48} +(-105118. + 182069. i) q^{49} +(163709. - 94517.5i) q^{50} +(-12240.6 - 14587.8i) q^{51} +(-156832. - 430893. i) q^{52} +(-40530.4 + 111356. i) q^{53} +(-173956. - 145966. i) q^{54} +(-10893.8 + 61781.7i) q^{55} +561257. i q^{56} +(7775.71 - 208778. i) q^{57} -130417. q^{58} +(203764. + 35929.2i) q^{59} +(122258. - 145702. i) q^{60} +(-87212.6 - 31742.8i) q^{61} +(-451764. + 164429. i) q^{62} +(-87199.5 + 73169.1i) q^{63} +(-91731.6 - 158884. i) q^{64} +(-138701. - 80079.0i) q^{65} +(-99906.1 - 566596. i) q^{66} +(325001. - 57306.4i) q^{67} +(41796.5 - 72393.7i) q^{68} +(-311013. + 179563. i) q^{69} +(241694. + 288040. i) q^{70} +(-20049.1 - 55084.4i) q^{71} +(-66642.7 + 183099. i) q^{72} +(-143119. - 120091. i) q^{73} +(-47017.0 + 266647. i) q^{74} +409501. i q^{75} +(872878. - 281378. i) q^{76} +769208. q^{77} +(1.44648e6 + 255054. i) q^{78} +(-40918.9 + 48765.2i) q^{79} +(229283. + 83452.4i) q^{80} +(598436. - 217813. i) q^{81} +(-1.03426e6 + 867846. i) q^{82} +(327396. + 567066. i) q^{83} +(-2.01965e6 - 1.16605e6i) q^{84} +(-5069.97 - 28753.2i) q^{85} +(-1.22035e6 + 215181. i) q^{86} +(141259. - 244667. i) q^{87} +(1.14029e6 - 658347. i) q^{88} +(-448434. - 534423. i) q^{89} +(44646.8 + 122666. i) q^{90} +(-671638. + 1.84531e6i) q^{91} +(-1.20764e6 - 1.01333e6i) q^{92} +(180846. - 1.02563e6i) q^{93} +702923. i q^{94} +(170374. - 271254. i) q^{95} -326928. q^{96} +(235870. + 41590.2i) q^{97} +(1.90014e6 - 2.26450e6i) q^{98} +(250939. + 91334.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} + O(q^{10}) \) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} - 1689q^{10} + 1677q^{11} - 9q^{12} - 10506q^{13} + 6105q^{14} + 24138q^{15} + 23760q^{16} - 3438q^{17} - 30918q^{19} - 76650q^{20} - 59055q^{21} + 20490q^{22} + 42498q^{23} + 31848q^{24} + 7914q^{25} + 109989q^{26} + 124821q^{27} - 109476q^{28} - 27726q^{29} - 153516q^{30} - 30789q^{31} - 114375q^{32} + 126039q^{33} + 359796q^{34} + 160161q^{35} + 184995q^{36} - 245244q^{38} - 390564q^{39} - 372678q^{40} - 24708q^{41} - 244893q^{42} - 30726q^{43} - 301419q^{44} + 293037q^{45} + 69246q^{46} - 71454q^{47} + 1024041q^{48} - 350346q^{49} - 104148q^{50} - 180672q^{51} + 921801q^{52} + 822558q^{53} + 308469q^{54} + 623517q^{55} - 17862q^{57} - 1150644q^{58} - 463812q^{59} - 908130q^{60} - 583698q^{61} - 429732q^{62} - 2576043q^{63} - 328293q^{64} - 1056789q^{65} - 1038756q^{66} + 1120464q^{67} + 717270q^{68} + 3771567q^{69} + 4845345q^{70} + 94494q^{71} + 2351634q^{72} + 950850q^{73} + 55149q^{74} - 218814q^{76} - 343086q^{77} + 1833471q^{78} - 4936494q^{79} - 9642039q^{80} - 769551q^{81} - 8627793q^{82} - 412131q^{83} - 3125205q^{84} - 896910q^{85} + 8878236q^{86} + 610737q^{87} + 13604751q^{88} + 6653022q^{89} + 3142734q^{90} + 3409821q^{91} - 3043740q^{92} - 816393q^{93} + 4839186q^{95} - 5667138q^{96} - 853656q^{97} - 17679315q^{98} - 13991937q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −13.8473 2.44165i −1.73091 0.305206i −0.782594 0.622532i \(-0.786104\pi\)
−0.948316 + 0.317326i \(0.897215\pi\)
\(3\) 19.5791 23.3335i 0.725152 0.864203i −0.269968 0.962869i \(-0.587013\pi\)
0.995121 + 0.0986665i \(0.0314577\pi\)
\(4\) 125.645 + 45.7311i 1.96321 + 0.714549i
\(5\) 43.8845 15.9727i 0.351076 0.127781i −0.160462 0.987042i \(-0.551298\pi\)
0.511538 + 0.859261i \(0.329076\pi\)
\(6\) −328.090 + 275.300i −1.51893 + 1.27454i
\(7\) −286.306 495.896i −0.834711 1.44576i −0.894265 0.447537i \(-0.852301\pi\)
0.0595543 0.998225i \(-0.481032\pi\)
\(8\) −848.852 490.085i −1.65791 0.957197i
\(9\) −34.5199 195.772i −0.0473525 0.268549i
\(10\) −646.681 + 114.027i −0.646681 + 0.114027i
\(11\) −671.666 + 1163.36i −0.504632 + 0.874049i 0.495353 + 0.868692i \(0.335039\pi\)
−0.999986 + 0.00535740i \(0.998295\pi\)
\(12\) 3527.09 2036.37i 2.04114 1.17845i
\(13\) −2204.40 2627.10i −1.00337 1.19577i −0.980598 0.196028i \(-0.937196\pi\)
−0.0227706 0.999741i \(-0.507249\pi\)
\(14\) 2753.75 + 7565.88i 1.00355 + 2.75724i
\(15\) 486.522 1336.71i 0.144155 0.396062i
\(16\) 4002.36 + 3358.37i 0.977137 + 0.819916i
\(17\) 108.563 615.689i 0.0220970 0.125318i −0.971764 0.235955i \(-0.924178\pi\)
0.993861 + 0.110637i \(0.0352892\pi\)
\(18\) 2795.20i 0.479287i
\(19\) 5414.75 4210.27i 0.789437 0.613832i
\(20\) 6244.33 0.780541
\(21\) −17176.6 3028.70i −1.85472 0.327038i
\(22\) 12141.3 14469.4i 1.14024 1.35888i
\(23\) −11079.2 4032.50i −0.910594 0.331429i −0.156104 0.987741i \(-0.549893\pi\)
−0.754490 + 0.656312i \(0.772116\pi\)
\(24\) −28055.2 + 10211.2i −2.02945 + 0.738660i
\(25\) −10298.7 + 8641.65i −0.659118 + 0.553066i
\(26\) 24110.5 + 41760.6i 1.37179 + 2.37600i
\(27\) 13986.3 + 8074.98i 0.710576 + 0.410251i
\(28\) −13295.1 75400.1i −0.605643 3.43477i
\(29\) 9134.21 1610.61i 0.374522 0.0660383i 0.0167809 0.999859i \(-0.494658\pi\)
0.357741 + 0.933821i \(0.383547\pi\)
\(30\) −10000.8 + 17321.9i −0.370399 + 0.641550i
\(31\) 29610.3 17095.5i 0.993936 0.573849i 0.0874874 0.996166i \(-0.472116\pi\)
0.906448 + 0.422317i \(0.138783\pi\)
\(32\) −6899.13 8222.07i −0.210545 0.250918i
\(33\) 13994.6 + 38449.8i 0.389420 + 1.06992i
\(34\) −3006.59 + 8260.55i −0.0764959 + 0.210171i
\(35\) −20485.2 17189.1i −0.477788 0.400912i
\(36\) 4615.62 26176.5i 0.0989288 0.561053i
\(37\) 19256.2i 0.380160i −0.981769 0.190080i \(-0.939125\pi\)
0.981769 0.190080i \(-0.0608747\pi\)
\(38\) −85259.6 + 45079.9i −1.55379 + 0.821546i
\(39\) −104460. −1.76098
\(40\) −45079.4 7948.72i −0.704366 0.124199i
\(41\) 61720.5 73555.7i 0.895526 1.06725i −0.101846 0.994800i \(-0.532475\pi\)
0.997372 0.0724461i \(-0.0230805\pi\)
\(42\) 230454. + 83878.5i 3.11055 + 1.13215i
\(43\) 82814.7 30142.1i 1.04160 0.379112i 0.236115 0.971725i \(-0.424126\pi\)
0.805487 + 0.592613i \(0.201904\pi\)
\(44\) −137593. + 115455.i −1.61525 + 1.35536i
\(45\) −4641.89 8039.99i −0.0509398 0.0882304i
\(46\) 143571. + 82890.6i 1.47500 + 0.851593i
\(47\) −8680.91 49231.9i −0.0836125 0.474190i −0.997647 0.0685546i \(-0.978161\pi\)
0.914035 0.405636i \(-0.132950\pi\)
\(48\) 156725. 27634.9i 1.41715 0.249881i
\(49\) −105118. + 182069.i −0.893485 + 1.54756i
\(50\) 163709. 94517.5i 1.30967 0.756140i
\(51\) −12240.6 14587.8i −0.0922767 0.109971i
\(52\) −156832. 430893.i −1.11539 3.06450i
\(53\) −40530.4 + 111356.i −0.272241 + 0.747975i 0.725944 + 0.687753i \(0.241403\pi\)
−0.998185 + 0.0602215i \(0.980819\pi\)
\(54\) −173956. 145966.i −1.10473 0.926981i
\(55\) −10893.8 + 61781.7i −0.0654773 + 0.371340i
\(56\) 561257.i 3.19593i
\(57\) 7775.71 208778.i 0.0419870 1.12735i
\(58\) −130417. −0.668419
\(59\) 203764. + 35929.2i 0.992139 + 0.174941i 0.646078 0.763271i \(-0.276408\pi\)
0.346061 + 0.938212i \(0.387519\pi\)
\(60\) 122258. 145702.i 0.566011 0.674546i
\(61\) −87212.6 31742.8i −0.384229 0.139848i 0.142682 0.989769i \(-0.454427\pi\)
−0.526910 + 0.849921i \(0.676650\pi\)
\(62\) −451764. + 164429.i −1.89556 + 0.689926i
\(63\) −87199.5 + 73169.1i −0.348732 + 0.292621i
\(64\) −91731.6 158884.i −0.349928 0.606094i
\(65\) −138701. 80079.0i −0.505055 0.291594i
\(66\) −99906.1 566596.i −0.347504 1.97079i
\(67\) 325001. 57306.4i 1.08059 0.190537i 0.395112 0.918633i \(-0.370706\pi\)
0.685475 + 0.728096i \(0.259595\pi\)
\(68\) 41796.5 72393.7i 0.132927 0.230236i
\(69\) −311013. + 179563.i −0.946741 + 0.546601i
\(70\) 241694. + 288040.i 0.704648 + 0.839767i
\(71\) −20049.1 55084.4i −0.0560169 0.153905i 0.908528 0.417824i \(-0.137207\pi\)
−0.964545 + 0.263919i \(0.914985\pi\)
\(72\) −66642.7 + 183099.i −0.178548 + 0.490557i
\(73\) −143119. 120091.i −0.367900 0.308704i 0.440030 0.897983i \(-0.354968\pi\)
−0.807930 + 0.589278i \(0.799412\pi\)
\(74\) −47017.0 + 266647.i −0.116027 + 0.658022i
\(75\) 409501.i 0.970668i
\(76\) 872878. 281378.i 1.98844 0.640987i
\(77\) 769208. 1.68489
\(78\) 1.44648e6 + 255054.i 3.04810 + 0.537463i
\(79\) −40918.9 + 48765.2i −0.0829932 + 0.0989074i −0.805943 0.591993i \(-0.798341\pi\)
0.722950 + 0.690900i \(0.242786\pi\)
\(80\) 229283. + 83452.4i 0.447819 + 0.162993i
\(81\) 598436. 217813.i 1.12606 0.409853i
\(82\) −1.03426e6 + 867846.i −1.87581 + 1.57399i
\(83\) 327396. + 567066.i 0.572584 + 0.991744i 0.996300 + 0.0859487i \(0.0273921\pi\)
−0.423716 + 0.905795i \(0.639275\pi\)
\(84\) −2.01965e6 1.16605e6i −3.40752 1.96733i
\(85\) −5069.97 28753.2i −0.00825560 0.0468198i
\(86\) −1.22035e6 + 215181.i −1.91863 + 0.338306i
\(87\) 141259. 244667.i 0.214515 0.371550i
\(88\) 1.14029e6 658347.i 1.67327 0.966066i
\(89\) −448434. 534423.i −0.636104 0.758080i 0.347645 0.937626i \(-0.386981\pi\)
−0.983749 + 0.179546i \(0.942537\pi\)
\(90\) 44646.8 + 122666.i 0.0612438 + 0.168266i
\(91\) −671638. + 1.84531e6i −0.891274 + 2.44875i
\(92\) −1.20764e6 1.01333e6i −1.55086 1.30133i
\(93\) 180846. 1.02563e6i 0.224833 1.27509i
\(94\) 702923.i 0.846300i
\(95\) 170374. 271254.i 0.198716 0.316377i
\(96\) −326928. −0.369521
\(97\) 235870. + 41590.2i 0.258439 + 0.0455697i 0.301366 0.953509i \(-0.402557\pi\)
−0.0429276 + 0.999078i \(0.513668\pi\)
\(98\) 1.90014e6 2.26450e6i 2.01887 2.40599i
\(99\) 250939. + 91334.5i 0.258621 + 0.0941302i
\(100\) −1.68918e6 + 614811.i −1.68918 + 0.614811i
\(101\) 284679. 238874.i 0.276307 0.231849i −0.494095 0.869408i \(-0.664500\pi\)
0.770401 + 0.637559i \(0.220056\pi\)
\(102\) 133881. + 231888.i 0.126159 + 0.218514i
\(103\) 913585. + 527458.i 0.836059 + 0.482699i 0.855923 0.517104i \(-0.172990\pi\)
−0.0198634 + 0.999803i \(0.506323\pi\)
\(104\) 583707. + 3.31037e6i 0.518913 + 2.94290i
\(105\) −802163. + 141443.i −0.692938 + 0.122184i
\(106\) 833128. 1.44302e6i 0.699511 1.21159i
\(107\) −1.63628e6 + 944704.i −1.33569 + 0.771160i −0.986165 0.165768i \(-0.946990\pi\)
−0.349523 + 0.936928i \(0.613656\pi\)
\(108\) 1.38803e6 + 1.65419e6i 1.10186 + 1.31315i
\(109\) −500210. 1.37432e6i −0.386254 1.06122i −0.968674 0.248336i \(-0.920116\pi\)
0.582420 0.812888i \(-0.302106\pi\)
\(110\) 301699. 828910.i 0.226671 0.622773i
\(111\) −449315. 377020.i −0.328535 0.275674i
\(112\) 519508. 2.94628e6i 0.369775 2.09710i
\(113\) 1.30022e6i 0.901116i −0.892747 0.450558i \(-0.851225\pi\)
0.892747 0.450558i \(-0.148775\pi\)
\(114\) −617436. + 2.87203e6i −0.416752 + 1.93854i
\(115\) −550614. −0.362038
\(116\) 1.22133e6 + 215353.i 0.782451 + 0.137967i
\(117\) −438218. + 522248.i −0.273611 + 0.326076i
\(118\) −2.73386e6 995043.i −1.66391 0.605614i
\(119\) −336400. + 122440.i −0.199625 + 0.0726576i
\(120\) −1.06809e6 + 896230.i −0.618105 + 0.518652i
\(121\) −16489.4 28560.5i −0.00930786 0.0161217i
\(122\) 1.13015e6 + 652494.i 0.622383 + 0.359333i
\(123\) −507876. 2.88031e6i −0.272925 1.54783i
\(124\) 4.50220e6 793859.i 2.36135 0.416369i
\(125\) −678775. + 1.17567e6i −0.347533 + 0.601944i
\(126\) 1.38613e6 800282.i 0.692935 0.400066i
\(127\) 1.22763e6 + 1.46303e6i 0.599316 + 0.714237i 0.977368 0.211548i \(-0.0678504\pi\)
−0.378052 + 0.925784i \(0.623406\pi\)
\(128\) 1.11724e6 + 3.06958e6i 0.532740 + 1.46369i
\(129\) 918118. 2.52251e6i 0.427690 1.17507i
\(130\) 1.72511e6 + 1.44754e6i 0.785210 + 0.658869i
\(131\) 58029.2 329100.i 0.0258127 0.146391i −0.969178 0.246363i \(-0.920764\pi\)
0.994990 + 0.0999724i \(0.0318755\pi\)
\(132\) 5.47103e6i 2.37874i
\(133\) −3.63813e6 1.47973e6i −1.54641 0.628966i
\(134\) −4.64030e6 −1.92855
\(135\) 742759. + 130969.i 0.301889 + 0.0532311i
\(136\) −393893. + 469424.i −0.156589 + 0.186616i
\(137\) −1.81564e6 660838.i −0.706102 0.257000i −0.0360883 0.999349i \(-0.511490\pi\)
−0.670014 + 0.742348i \(0.733712\pi\)
\(138\) 4.74511e6 1.72708e6i 1.80555 0.657166i
\(139\) −92305.6 + 77453.6i −0.0343703 + 0.0288401i −0.659811 0.751432i \(-0.729364\pi\)
0.625441 + 0.780272i \(0.284919\pi\)
\(140\) −1.78779e6 3.09654e6i −0.651526 1.12848i
\(141\) −1.31871e6 761360.i −0.470428 0.271602i
\(142\) 143128. + 811721.i 0.0499874 + 0.283493i
\(143\) 4.53689e6 799976.i 1.55149 0.273570i
\(144\) 519316. 899481.i 0.173918 0.301234i
\(145\) 375125. 216578.i 0.123047 0.0710413i
\(146\) 1.68859e6 + 2.01238e6i 0.542583 + 0.646625i
\(147\) 2.19019e6 + 6.01751e6i 0.689494 + 1.89437i
\(148\) 880609. 2.41945e6i 0.271643 0.746332i
\(149\) 547655. + 459537.i 0.165557 + 0.138919i 0.721802 0.692099i \(-0.243314\pi\)
−0.556245 + 0.831018i \(0.687758\pi\)
\(150\) 999857. 5.67047e6i 0.296254 1.68014i
\(151\) 1.10024e6i 0.319563i −0.987152 0.159782i \(-0.948921\pi\)
0.987152 0.159782i \(-0.0510790\pi\)
\(152\) −6.65971e6 + 920210.i −1.89638 + 0.262033i
\(153\) −124282. −0.0347005
\(154\) −1.06514e7 1.87814e6i −2.91639 0.514239i
\(155\) 1.02637e6 1.22318e6i 0.275620 0.328471i
\(156\) −1.31249e7 4.77706e6i −3.45717 1.25831i
\(157\) 2.10769e6 767135.i 0.544637 0.198232i −0.0550250 0.998485i \(-0.517524\pi\)
0.599662 + 0.800253i \(0.295302\pi\)
\(158\) 685683. 575356.i 0.173841 0.145870i
\(159\) 1.80478e6 + 3.12597e6i 0.448986 + 0.777667i
\(160\) −434093. 250624.i −0.105980 0.0611875i
\(161\) 1.17234e6 + 6.64866e6i 0.280915 + 1.59315i
\(162\) −8.81854e6 + 1.55495e6i −2.07420 + 0.365738i
\(163\) −2.90678e6 + 5.03468e6i −0.671195 + 1.16254i 0.306370 + 0.951912i \(0.400885\pi\)
−0.977566 + 0.210632i \(0.932448\pi\)
\(164\) 1.11187e7 6.41937e6i 2.52070 1.45533i
\(165\) 1.22829e6 + 1.46382e6i 0.273432 + 0.325864i
\(166\) −3.14897e6 8.65171e6i −0.688404 1.89138i
\(167\) 2.13112e6 5.85520e6i 0.457571 1.25716i −0.469718 0.882817i \(-0.655644\pi\)
0.927288 0.374348i \(-0.122133\pi\)
\(168\) 1.30961e7 + 1.09889e7i 2.76193 + 2.31754i
\(169\) −1.20412e6 + 6.82890e6i −0.249465 + 1.41479i
\(170\) 410533.i 0.0835606i
\(171\) −1.01117e6 914719.i −0.202226 0.182936i
\(172\) 1.17837e7 2.31578
\(173\) −274260. 48359.4i −0.0529693 0.00933992i 0.147101 0.989122i \(-0.453006\pi\)
−0.200070 + 0.979782i \(0.564117\pi\)
\(174\) −2.55344e6 + 3.04307e6i −0.484705 + 0.577649i
\(175\) 7.23395e6 + 2.63294e6i 1.34977 + 0.491278i
\(176\) −6.59524e6 + 2.40047e6i −1.20974 + 0.440310i
\(177\) 4.82788e6 4.05107e6i 0.870636 0.730550i
\(178\) 4.90472e6 + 8.49522e6i 0.869669 + 1.50631i
\(179\) −7.59161e6 4.38302e6i −1.32366 0.764213i −0.339345 0.940662i \(-0.610206\pi\)
−0.984310 + 0.176449i \(0.943539\pi\)
\(180\) −215554. 1.22247e6i −0.0369605 0.209614i
\(181\) −269508. + 47521.5i −0.0454502 + 0.00801410i −0.196327 0.980538i \(-0.562901\pi\)
0.150877 + 0.988553i \(0.451790\pi\)
\(182\) 1.38060e7 2.39126e7i 2.29009 3.96655i
\(183\) −2.44822e6 + 1.41348e6i −0.399481 + 0.230641i
\(184\) 7.42833e6 + 8.85274e6i 1.19244 + 1.42110i
\(185\) −307573. 845050.i −0.0485773 0.133465i
\(186\) −5.00845e6 + 1.37606e7i −0.778331 + 2.13845i
\(187\) 643350. + 539834.i 0.0983835 + 0.0825535i
\(188\) 1.16071e6 6.58274e6i 0.174683 0.990679i
\(189\) 9.24766e6i 1.36977i
\(190\) −3.02153e6 + 3.34013e6i −0.440520 + 0.486970i
\(191\) −1.35710e6 −0.194765 −0.0973825 0.995247i \(-0.531047\pi\)
−0.0973825 + 0.995247i \(0.531047\pi\)
\(192\) −5.50334e6 970387.i −0.777539 0.137101i
\(193\) −3.02857e6 + 3.60930e6i −0.421274 + 0.502055i −0.934384 0.356268i \(-0.884049\pi\)
0.513109 + 0.858323i \(0.328494\pi\)
\(194\) −3.16461e6 1.15182e6i −0.433426 0.157754i
\(195\) −4.58416e6 + 1.66850e6i −0.618238 + 0.225020i
\(196\) −2.15338e7 + 1.80690e7i −2.85991 + 2.39975i
\(197\) 456392. + 790494.i 0.0596952 + 0.103395i 0.894329 0.447411i \(-0.147654\pi\)
−0.834633 + 0.550806i \(0.814320\pi\)
\(198\) −3.25182e6 1.87744e6i −0.418920 0.241864i
\(199\) 326737. + 1.85302e6i 0.0414610 + 0.235137i 0.998495 0.0548379i \(-0.0174642\pi\)
−0.957034 + 0.289975i \(0.906353\pi\)
\(200\) 1.29772e7 2.28824e6i 1.62215 0.286030i
\(201\) 5.02607e6 8.70540e6i 0.618928 1.07201i
\(202\) −4.52528e6 + 2.61267e6i −0.549024 + 0.316979i
\(203\) −3.41387e6 4.06850e6i −0.408093 0.486346i
\(204\) −870858. 2.39266e6i −0.102579 0.281832i
\(205\) 1.53370e6 4.21379e6i 0.178024 0.489116i
\(206\) −1.13628e7 9.53452e6i −1.29982 1.09068i
\(207\) −406998. + 2.30820e6i −0.0458861 + 0.260233i
\(208\) 1.79178e7i 1.99111i
\(209\) 1.26116e6 + 9.12719e6i 0.138143 + 0.999766i
\(210\) 1.14531e7 1.23671
\(211\) 4.48223e6 + 790338.i 0.477141 + 0.0841328i 0.407046 0.913408i \(-0.366559\pi\)
0.0700947 + 0.997540i \(0.477670\pi\)
\(212\) −1.01849e7 + 1.21379e7i −1.06893 + 1.27390i
\(213\) −1.67785e6 610688.i −0.173626 0.0631947i
\(214\) 2.49646e7 9.08637e6i 2.54732 0.927148i
\(215\) 3.15283e6 2.64554e6i 0.317238 0.266194i
\(216\) −7.91485e6 1.37089e7i −0.785383 1.36032i
\(217\) −1.69552e7 9.78911e6i −1.65930 0.957996i
\(218\) 3.57095e6 + 2.02519e7i 0.344679 + 1.95477i
\(219\) −5.60429e6 + 988188.i −0.533566 + 0.0940821i
\(220\) −4.19410e6 + 7.26440e6i −0.393886 + 0.682231i
\(221\) −1.85679e6 + 1.07202e6i −0.172023 + 0.0993176i
\(222\) 5.30124e6 + 6.31777e6i 0.484527 + 0.577437i
\(223\) −2.18790e6 6.01120e6i −0.197293 0.542059i 0.801112 0.598515i \(-0.204242\pi\)
−0.998405 + 0.0564559i \(0.982020\pi\)
\(224\) −2.10203e6 + 5.77528e6i −0.187023 + 0.513842i
\(225\) 2.04731e6 + 1.71789e6i 0.179736 + 0.150817i
\(226\) −3.17468e6 + 1.80045e7i −0.275026 + 1.55975i
\(227\) 1.93606e7i 1.65516i 0.561346 + 0.827581i \(0.310284\pi\)
−0.561346 + 0.827581i \(0.689716\pi\)
\(228\) 1.05246e7 2.58764e7i 0.887980 2.18323i
\(229\) 1.69353e7 1.41022 0.705111 0.709097i \(-0.250897\pi\)
0.705111 + 0.709097i \(0.250897\pi\)
\(230\) 7.62451e6 + 1.34441e6i 0.626655 + 0.110496i
\(231\) 1.50604e7 1.79483e7i 1.22180 1.45609i
\(232\) −8.54293e6 3.10937e6i −0.684137 0.249005i
\(233\) −2.08363e7 + 7.58379e6i −1.64722 + 0.599541i −0.988280 0.152652i \(-0.951219\pi\)
−0.658944 + 0.752192i \(0.728997\pi\)
\(234\) 7.34328e6 6.16174e6i 0.573116 0.480901i
\(235\) −1.16732e6 2.02186e6i −0.0899470 0.155793i
\(236\) 2.39590e7 + 1.38327e7i 1.82277 + 1.05238i
\(237\) 336707. + 1.90956e6i 0.0252934 + 0.143446i
\(238\) 4.95718e6 874085.i 0.367709 0.0648370i
\(239\) −5.36210e6 + 9.28743e6i −0.392773 + 0.680302i −0.992814 0.119667i \(-0.961817\pi\)
0.600041 + 0.799969i \(0.295151\pi\)
\(240\) 6.43640e6 3.71606e6i 0.465596 0.268812i
\(241\) −5.84127e6 6.96135e6i −0.417307 0.497327i 0.515909 0.856644i \(-0.327454\pi\)
−0.933216 + 0.359316i \(0.883010\pi\)
\(242\) 158599. + 435747.i 0.0111906 + 0.0307460i
\(243\) 2.60780e6 7.16487e6i 0.181742 0.499332i
\(244\) −9.50622e6 7.97667e6i −0.654393 0.549101i
\(245\) −1.70491e6 + 9.66902e6i −0.115932 + 0.657482i
\(246\) 4.11245e7i 2.76246i
\(247\) −2.29971e7 4.94398e6i −1.52610 0.328084i
\(248\) −3.35131e7 −2.19715
\(249\) 1.96417e7 + 3.46337e6i 1.27228 + 0.224337i
\(250\) 1.22698e7 1.46225e7i 0.785265 0.935843i
\(251\) 2.52977e7 + 9.20762e6i 1.59978 + 0.582272i 0.979382 0.202015i \(-0.0647489\pi\)
0.620398 + 0.784287i \(0.286971\pi\)
\(252\) −1.43023e7 + 5.20562e6i −0.893726 + 0.325290i
\(253\) 1.21328e7 1.01806e7i 0.749200 0.628654i
\(254\) −1.34271e7 2.32564e7i −0.819372 1.41919i
\(255\) −770178. 444663.i −0.0464484 0.0268170i
\(256\) −5.93693e6 3.36700e7i −0.353869 2.00689i
\(257\) 1.27872e7 2.25474e6i 0.753317 0.132830i 0.216213 0.976346i \(-0.430629\pi\)
0.537104 + 0.843516i \(0.319518\pi\)
\(258\) −1.88725e7 + 3.26882e7i −1.09893 + 1.90341i
\(259\) −9.54910e6 + 5.51317e6i −0.549621 + 0.317324i
\(260\) −1.37650e7 1.64045e7i −0.783171 0.933346i
\(261\) −630625. 1.73263e6i −0.0354690 0.0974504i
\(262\) −1.60709e6 + 4.41546e6i −0.0893588 + 0.245511i
\(263\) −1.53455e7 1.28764e7i −0.843557 0.707829i 0.114804 0.993388i \(-0.463376\pi\)
−0.958361 + 0.285560i \(0.907821\pi\)
\(264\) 6.96435e6 3.94968e7i 0.378502 2.14659i
\(265\) 5.53419e6i 0.297383i
\(266\) 4.67653e7 + 2.93733e7i 2.48473 + 1.56066i
\(267\) −2.12499e7 −1.11641
\(268\) 4.34555e7 + 7.66237e6i 2.25756 + 0.398070i
\(269\) −7.96485e6 + 9.49214e6i −0.409186 + 0.487649i −0.930798 0.365534i \(-0.880886\pi\)
0.521612 + 0.853183i \(0.325331\pi\)
\(270\) −9.96542e6 3.62712e6i −0.506296 0.184277i
\(271\) 1.54355e7 5.61805e6i 0.775554 0.282279i 0.0762365 0.997090i \(-0.475710\pi\)
0.699317 + 0.714811i \(0.253487\pi\)
\(272\) 2.50222e6 2.09961e6i 0.124342 0.104336i
\(273\) 2.99074e7 + 5.18012e7i 1.46991 + 2.54596i
\(274\) 2.35281e7 + 1.35840e7i 1.14376 + 0.660351i
\(275\) −3.13605e6 1.77854e7i −0.150794 0.855197i
\(276\) −4.72889e7 + 8.33831e6i −2.24922 + 0.396598i
\(277\) −3.52465e6 + 6.10487e6i −0.165835 + 0.287235i −0.936952 0.349459i \(-0.886365\pi\)
0.771116 + 0.636694i \(0.219699\pi\)
\(278\) 1.46730e6 847144.i 0.0682941 0.0394296i
\(279\) −4.36898e6 5.20675e6i −0.201172 0.239747i
\(280\) 8.96476e6 + 2.46305e7i 0.408380 + 1.12202i
\(281\) 4.92378e6 1.35280e7i 0.221911 0.609696i −0.777914 0.628370i \(-0.783722\pi\)
0.999826 + 0.0186740i \(0.00594447\pi\)
\(282\) 1.64016e7 + 1.37626e7i 0.731375 + 0.613696i
\(283\) 6.91236e6 3.92020e7i 0.304977 1.72961i −0.318636 0.947877i \(-0.603225\pi\)
0.623613 0.781733i \(-0.285664\pi\)
\(284\) 7.83796e6i 0.342175i
\(285\) −2.99351e6 9.28633e6i −0.129314 0.401152i
\(286\) −6.47768e7 −2.76899
\(287\) −5.41469e7 9.54757e6i −2.29049 0.403875i
\(288\) −1.37150e6 + 1.63448e6i −0.0574139 + 0.0684232i
\(289\) 2.23146e7 + 8.12185e6i 0.924476 + 0.336482i
\(290\) −5.72326e6 + 2.08310e6i −0.234666 + 0.0854114i
\(291\) 5.58857e6 4.68936e6i 0.226789 0.190298i
\(292\) −1.24903e7 2.16339e7i −0.501679 0.868933i
\(293\) −2.46097e7 1.42084e7i −0.978370 0.564862i −0.0765927 0.997062i \(-0.524404\pi\)
−0.901778 + 0.432200i \(0.857737\pi\)
\(294\) −1.56356e7 8.86739e7i −0.615279 3.48942i
\(295\) 9.51598e6 1.67792e6i 0.370670 0.0653592i
\(296\) −9.43719e6 + 1.63457e7i −0.363888 + 0.630272i
\(297\) −1.87882e7 + 1.08474e7i −0.717160 + 0.414052i
\(298\) −6.46150e6 7.70052e6i −0.244166 0.290985i
\(299\) 1.38292e7 + 3.79954e7i 0.517349 + 1.42140i
\(300\) −1.87269e7 + 5.14518e7i −0.693590 + 1.90562i
\(301\) −3.86577e7 3.24376e7i −1.41754 1.18946i
\(302\) −2.68640e6 + 1.52353e7i −0.0975326 + 0.553135i
\(303\) 1.13195e7i 0.406911i
\(304\) 3.58114e7 + 1.33376e6i 1.27468 + 0.0474740i
\(305\) −4.33430e6 −0.152763
\(306\) 1.72097e6 + 303454.i 0.0600634 + 0.0105908i
\(307\) 3.12071e7 3.71912e7i 1.07855 1.28536i 0.122396 0.992481i \(-0.460942\pi\)
0.956149 0.292879i \(-0.0946134\pi\)
\(308\) 9.66473e7 + 3.51767e7i 3.30779 + 1.20394i
\(309\) 3.01946e7 1.09899e7i 1.02342 0.372495i
\(310\) −1.71991e7 + 1.44317e7i −0.577325 + 0.484433i
\(311\) 2.26062e7 + 3.91551e7i 0.751531 + 1.30169i 0.947081 + 0.320996i \(0.104018\pi\)
−0.195549 + 0.980694i \(0.562649\pi\)
\(312\) 8.86708e7 + 5.11941e7i 2.91956 + 1.68561i
\(313\) 6.77567e6 + 3.84267e7i 0.220963 + 1.25314i 0.870254 + 0.492603i \(0.163955\pi\)
−0.649291 + 0.760540i \(0.724934\pi\)
\(314\) −3.10588e7 + 5.47651e6i −1.00322 + 0.176895i
\(315\) −2.65800e6 + 4.60380e6i −0.0850401 + 0.147294i
\(316\) −7.37135e6 + 4.25585e6i −0.233607 + 0.134873i
\(317\) 3.55517e6 + 4.23688e6i 0.111605 + 0.133005i 0.818955 0.573858i \(-0.194554\pi\)
−0.707350 + 0.706863i \(0.750110\pi\)
\(318\) −1.73588e7 4.76928e7i −0.539806 1.48310i
\(319\) −4.26142e6 + 1.17082e7i −0.131275 + 0.360675i
\(320\) −6.56339e6 5.50734e6i −0.200299 0.168071i
\(321\) −9.99359e6 + 5.66764e7i −0.302139 + 1.71351i
\(322\) 9.49283e7i 2.84334i
\(323\) −2.00438e6 3.79088e6i −0.0594801 0.112495i
\(324\) 8.51515e7 2.50356
\(325\) 4.54050e7 + 8.00613e6i 1.32268 + 0.233224i
\(326\) 5.25439e7 6.26194e7i 1.51659 1.80741i
\(327\) −4.18612e7 1.52362e7i −1.19721 0.435747i
\(328\) −8.84402e7 + 3.21896e7i −2.50627 + 0.912208i
\(329\) −2.19285e7 + 1.84002e7i −0.615774 + 0.516696i
\(330\) −1.34344e7 2.32690e7i −0.373831 0.647494i
\(331\) 2.01889e7 + 1.16560e7i 0.556709 + 0.321416i 0.751823 0.659365i \(-0.229175\pi\)
−0.195115 + 0.980780i \(0.562508\pi\)
\(332\) 1.52032e7 + 8.62214e7i 0.415451 + 2.35614i
\(333\) −3.76984e6 + 664724.i −0.102092 + 0.0180015i
\(334\) −4.38065e7 + 7.58751e7i −1.17571 + 2.03639i
\(335\) 1.33472e7 7.70598e6i 0.355021 0.204972i
\(336\) −5.85753e7 6.98074e7i −1.54418 1.84028i
\(337\) 1.15231e7 + 3.16594e7i 0.301078 + 0.827204i 0.994313 + 0.106493i \(0.0339622\pi\)
−0.693236 + 0.720711i \(0.743816\pi\)
\(338\) 3.33476e7 9.16217e7i 0.863603 2.37273i
\(339\) −3.03386e7 2.54571e7i −0.778747 0.653446i
\(340\) 677900. 3.84456e6i 0.0172476 0.0978161i
\(341\) 4.59300e7i 1.15833i
\(342\) 1.17685e7 + 1.51353e7i 0.294201 + 0.378367i
\(343\) 5.30160e7 1.31379
\(344\) −8.50696e7 1.50001e7i −2.08977 0.368483i
\(345\) −1.07805e7 + 1.28477e7i −0.262533 + 0.312874i
\(346\) 3.67968e6 + 1.33929e6i 0.0888345 + 0.0323331i
\(347\) 2.05507e7 7.47985e6i 0.491857 0.179021i −0.0841712 0.996451i \(-0.526824\pi\)
0.576028 + 0.817430i \(0.304602\pi\)
\(348\) 2.89374e7 2.42813e7i 0.686628 0.576149i
\(349\) −2.04583e7 3.54348e7i −0.481274 0.833591i 0.518495 0.855081i \(-0.326493\pi\)
−0.999769 + 0.0214893i \(0.993159\pi\)
\(350\) −9.37418e7 5.41219e7i −2.18640 1.26232i
\(351\) −9.61756e6 5.45439e7i −0.222404 1.26132i
\(352\) 1.41991e7 2.50369e6i 0.325562 0.0574054i
\(353\) 2.66679e7 4.61901e7i 0.606268 1.05009i −0.385582 0.922674i \(-0.625999\pi\)
0.991850 0.127413i \(-0.0406674\pi\)
\(354\) −7.67443e7 + 4.43083e7i −1.72996 + 0.998793i
\(355\) −1.75969e6 2.09711e6i −0.0393324 0.0468745i
\(356\) −3.19038e7 8.76551e7i −0.707120 1.94280i
\(357\) −3.72947e6 + 1.02466e7i −0.0819677 + 0.225204i
\(358\) 9.44214e7 + 7.92290e7i 2.05789 + 1.72677i
\(359\) −1.38494e7 + 7.85437e7i −0.299328 + 1.69757i 0.349745 + 0.936845i \(0.386268\pi\)
−0.649072 + 0.760727i \(0.724843\pi\)
\(360\) 9.09969e6i 0.195038i
\(361\) 1.15931e7 4.55951e7i 0.246422 0.969163i
\(362\) 3.84798e6 0.0811162
\(363\) −989265. 174434.i −0.0206820 0.00364680i
\(364\) −1.68776e8 + 2.01140e8i −3.49951 + 4.17055i
\(365\) −8.19889e6 2.98415e6i −0.168607 0.0613681i
\(366\) 3.73523e7 1.35951e7i 0.761859 0.277294i
\(367\) 3.44668e7 2.89210e7i 0.697272 0.585081i −0.223724 0.974653i \(-0.571821\pi\)
0.920996 + 0.389572i \(0.127377\pi\)
\(368\) −3.08002e7 5.33476e7i −0.618031 1.07046i
\(369\) −1.65308e7 9.54403e6i −0.329013 0.189956i
\(370\) 2.19574e6 + 1.24526e7i 0.0433486 + 0.245842i
\(371\) 6.68252e7 1.17831e7i 1.30864 0.230748i
\(372\) 6.96255e7 1.20595e8i 1.35251 2.34261i
\(373\) −4.49493e7 + 2.59515e7i −0.866157 + 0.500076i −0.866069 0.499924i \(-0.833361\pi\)
−8.74248e−5 1.00000i \(0.500028\pi\)
\(374\) −7.59056e6 9.04607e6i −0.145097 0.172920i
\(375\) 1.41427e7 + 3.88568e7i 0.268188 + 0.736840i
\(376\) −1.67590e7 + 4.60450e7i −0.315271 + 0.866201i
\(377\) −2.43667e7 2.04461e7i −0.454750 0.381581i
\(378\) −2.25795e7 + 1.28055e8i −0.418061 + 2.37094i
\(379\) 6.10253e7i 1.12097i −0.828166 0.560483i \(-0.810615\pi\)
0.828166 0.560483i \(-0.189385\pi\)
\(380\) 3.38115e7 2.62903e7i 0.616188 0.479121i
\(381\) 5.81734e7 1.05184
\(382\) 1.87921e7 + 3.31356e6i 0.337121 + 0.0594435i
\(383\) −4.45541e7 + 5.30976e7i −0.793034 + 0.945101i −0.999443 0.0333648i \(-0.989378\pi\)
0.206409 + 0.978466i \(0.433822\pi\)
\(384\) 9.34985e7 + 3.40307e7i 1.65124 + 0.601003i
\(385\) 3.37563e7 1.22863e7i 0.591524 0.215297i
\(386\) 5.07501e7 4.25844e7i 0.882419 0.740437i
\(387\) −8.75974e6 1.51723e7i −0.151133 0.261769i
\(388\) 2.77340e7 + 1.60122e7i 0.474807 + 0.274130i
\(389\) −236154. 1.33929e6i −0.00401186 0.0227524i 0.982736 0.185013i \(-0.0592327\pi\)
−0.986748 + 0.162260i \(0.948122\pi\)
\(390\) 6.75520e7 1.19112e7i 1.13879 0.200800i
\(391\) −3.68555e6 + 6.38356e6i −0.0616555 + 0.106790i
\(392\) 1.78459e8 1.03033e8i 2.96264 1.71048i
\(393\) −6.54289e6 7.79751e6i −0.107793 0.128463i
\(394\) −4.38968e6 1.20605e7i −0.0717702 0.197187i
\(395\) −1.01679e6 + 2.79362e6i −0.0164984 + 0.0453290i
\(396\) 2.73525e7 + 2.29515e7i 0.440465 + 0.369594i
\(397\) 2.44950e6 1.38918e7i 0.0391476 0.222017i −0.958957 0.283550i \(-0.908488\pi\)
0.998105 + 0.0615328i \(0.0195989\pi\)
\(398\) 2.64571e7i 0.419655i
\(399\) −1.05759e8 + 5.59185e7i −1.66493 + 0.880312i
\(400\) −7.02410e7 −1.09752
\(401\) 1.21251e7 + 2.13798e6i 0.188040 + 0.0331566i 0.266875 0.963731i \(-0.414009\pi\)
−0.0788348 + 0.996888i \(0.525120\pi\)
\(402\) −9.08529e7 + 1.08274e8i −1.39849 + 1.66666i
\(403\) −1.10185e8 4.01040e7i −1.68348 0.612735i
\(404\) 4.66926e7 1.69947e7i 0.708115 0.257733i
\(405\) 2.27830e7 1.91172e7i 0.342962 0.287779i
\(406\) 3.73390e7 + 6.46731e7i 0.557937 + 0.966375i
\(407\) 2.24019e7 + 1.29338e7i 0.332278 + 0.191841i
\(408\) 3.24121e6 + 1.83818e7i 0.0477229 + 0.270650i
\(409\) −9.96156e7 + 1.75649e7i −1.45599 + 0.256730i −0.844938 0.534864i \(-0.820363\pi\)
−0.611048 + 0.791594i \(0.709252\pi\)
\(410\) −3.15261e7 + 5.46049e7i −0.457424 + 0.792282i
\(411\) −5.09682e7 + 2.94265e7i −0.734132 + 0.423851i
\(412\) 9.06663e7 + 1.08052e8i 1.29645 + 1.54504i
\(413\) −4.05218e7 1.11333e8i −0.575226 1.58042i
\(414\) 1.12716e7 3.09686e7i 0.158849 0.436435i
\(415\) 2.34252e7 + 1.96560e7i 0.327747 + 0.275012i
\(416\) −6.39176e6 + 3.62495e7i −0.0887852 + 0.503526i
\(417\) 3.67028e6i 0.0506164i
\(418\) 4.82182e6 1.29466e8i 0.0660210 1.77267i
\(419\) −5.19004e7 −0.705551 −0.352776 0.935708i \(-0.614762\pi\)
−0.352776 + 0.935708i \(0.614762\pi\)
\(420\) −1.07256e8 1.89122e7i −1.44769 0.255266i
\(421\) 8.28187e7 9.86995e7i 1.10990 1.32272i 0.168391 0.985720i \(-0.446143\pi\)
0.941504 0.337001i \(-0.109413\pi\)
\(422\) −6.01370e7 2.18881e7i −0.800211 0.291253i
\(423\) −9.33857e6 + 3.39896e6i −0.123384 + 0.0449081i
\(424\) 8.89783e7 7.46617e7i 1.16731 0.979490i
\(425\) 4.20251e6 + 7.27897e6i 0.0547447 + 0.0948207i
\(426\) 2.17426e7 + 1.25531e7i 0.281244 + 0.162376i
\(427\) 9.22835e6 + 5.23366e7i 0.118533 + 0.672236i
\(428\) −2.48793e8 + 4.38689e7i −3.17326 + 0.559532i
\(429\) 7.01620e7 1.21524e8i 0.888648 1.53918i
\(430\) −5.01176e7 + 2.89354e7i −0.630355 + 0.363936i
\(431\) 2.54048e6 + 3.02763e6i 0.0317311 + 0.0378156i 0.781677 0.623684i \(-0.214365\pi\)
−0.749946 + 0.661500i \(0.769920\pi\)
\(432\) 2.88592e7 + 7.92901e7i 0.357959 + 0.983485i
\(433\) −2.81827e7 + 7.74312e7i −0.347151 + 0.953789i 0.636112 + 0.771597i \(0.280542\pi\)
−0.983263 + 0.182192i \(0.941681\pi\)
\(434\) 2.10882e8 + 1.76951e8i 2.57971 + 2.16463i
\(435\) 2.29108e6 1.29934e7i 0.0278338 0.157853i
\(436\) 1.95552e8i 2.35940i
\(437\) −7.69689e7 + 2.48114e7i −0.922298 + 0.297309i
\(438\) 8.00170e7 0.952270
\(439\) −3.14309e7 5.54211e6i −0.371503 0.0655060i −0.0152203 0.999884i \(-0.504845\pi\)
−0.356283 + 0.934378i \(0.615956\pi\)
\(440\) 3.95255e7 4.71047e7i 0.464002 0.552976i
\(441\) 3.92727e7 + 1.42941e7i 0.457905 + 0.166664i
\(442\) 2.83290e7 1.03109e7i 0.328069 0.119407i
\(443\) 1.07399e8 9.01181e7i 1.23534 1.03657i 0.237468 0.971395i \(-0.423682\pi\)
0.997874 0.0651796i \(-0.0207620\pi\)
\(444\) −3.92127e7 6.79184e7i −0.448000 0.775959i
\(445\) −2.82154e7 1.62902e7i −0.320189 0.184861i
\(446\) 1.56192e7 + 8.85808e7i 0.176057 + 0.998470i
\(447\) 2.14452e7 3.78136e6i 0.240108 0.0423376i
\(448\) −5.25266e7 + 9.09788e7i −0.584178 + 1.01183i
\(449\) 3.77104e7 2.17721e7i 0.416603 0.240526i −0.277020 0.960864i \(-0.589347\pi\)
0.693623 + 0.720338i \(0.256014\pi\)
\(450\) −2.41551e7 2.87870e7i −0.265077 0.315907i
\(451\) 4.41161e7 + 1.21208e8i 0.480914 + 1.32130i
\(452\) 5.94604e7 1.63366e8i 0.643892 1.76908i
\(453\) −2.56724e7 2.15417e7i −0.276167 0.231732i
\(454\) 4.72717e7 2.68091e8i 0.505166 2.86494i
\(455\) 9.17083e7i 0.973587i
\(456\) −1.08920e8 + 1.73411e8i −1.14871 + 1.82887i
\(457\) 2.99548e7 0.313847 0.156924 0.987611i \(-0.449842\pi\)
0.156924 + 0.987611i \(0.449842\pi\)
\(458\) −2.34509e8 4.13502e7i −2.44097 0.430409i
\(459\) 6.49006e6 7.73455e6i 0.0671136 0.0799829i
\(460\) −6.91821e7 2.51802e7i −0.710756 0.258694i
\(461\) −3.33754e7 + 1.21476e7i −0.340662 + 0.123991i −0.506685 0.862131i \(-0.669129\pi\)
0.166024 + 0.986122i \(0.446907\pi\)
\(462\) −2.52369e8 + 2.11763e8i −2.55923 + 2.14745i
\(463\) 6.37805e7 + 1.10471e8i 0.642606 + 1.11303i 0.984849 + 0.173415i \(0.0554801\pi\)
−0.342243 + 0.939611i \(0.611187\pi\)
\(464\) 4.19674e7 + 2.42299e7i 0.420105 + 0.242548i
\(465\) −8.44566e6 4.78977e7i −0.0839991 0.476383i
\(466\) 3.07043e8 5.41400e7i 3.03418 0.535008i
\(467\) 3.96591e6 6.86916e6i 0.0389397 0.0674455i −0.845899 0.533344i \(-0.820935\pi\)
0.884838 + 0.465898i \(0.154269\pi\)
\(468\) −7.89431e7 + 4.55778e7i −0.770152 + 0.444647i
\(469\) −1.21468e8 1.44759e8i −1.17745 1.40323i
\(470\) 1.12275e7 + 3.08474e7i 0.108141 + 0.297116i
\(471\) 2.33667e7 6.41995e7i 0.223632 0.614425i
\(472\) −1.55358e8 1.30360e8i −1.47743 1.23971i
\(473\) −2.05577e7 + 1.16589e8i −0.194264 + 1.10172i
\(474\) 2.72643e7i 0.256012i
\(475\) −1.93813e7 + 9.01528e7i −0.180843 + 0.841198i
\(476\) −4.78664e7 −0.443823
\(477\) 2.31996e7 + 4.09071e6i 0.213759 + 0.0376915i
\(478\) 9.69272e7 1.15513e8i 0.887487 1.05767i
\(479\) 9.20337e7 + 3.34975e7i 0.837414 + 0.304794i 0.724898 0.688856i \(-0.241887\pi\)
0.112516 + 0.993650i \(0.464109\pi\)
\(480\) −1.43471e7 + 5.22191e6i −0.129730 + 0.0472178i
\(481\) −5.05881e7 + 4.24485e7i −0.454583 + 0.381440i
\(482\) 6.38885e7 + 1.10658e8i 0.570534 + 0.988194i
\(483\) 1.78090e8 + 1.02820e8i 1.58051 + 0.912508i
\(484\) −765714. 4.34258e6i −0.00675352 0.0383011i
\(485\) 1.10153e7 1.94230e6i 0.0965545 0.0170252i
\(486\) −5.36050e7 + 9.28467e7i −0.466978 + 0.808830i
\(487\) 1.25595e8 7.25125e7i 1.08739 0.627806i 0.154511 0.987991i \(-0.450620\pi\)
0.932881 + 0.360185i \(0.117286\pi\)
\(488\) 5.84740e7 + 6.96865e7i 0.503156 + 0.599638i
\(489\) 6.05646e7 + 1.66400e8i 0.517955 + 1.42307i
\(490\) 4.72167e7 1.29727e8i 0.401335 1.10266i
\(491\) −2.69343e7 2.26006e7i −0.227542 0.190930i 0.521888 0.853014i \(-0.325228\pi\)
−0.749430 + 0.662084i \(0.769672\pi\)
\(492\) 6.79076e7 3.85123e8i 0.570194 3.23373i
\(493\) 5.79868e6i 0.0483937i
\(494\) 3.06376e8 + 1.24612e8i 2.54140 + 1.03366i
\(495\) 1.24712e7 0.102824
\(496\) 1.75924e8 + 3.10202e7i 1.44172 + 0.254214i
\(497\) −2.15760e7 + 2.57132e7i −0.175752 + 0.209453i
\(498\) −2.63528e8 9.59165e7i −2.13373 0.776614i
\(499\) −9.45374e7 + 3.44088e7i −0.760855 + 0.276929i −0.693166 0.720778i \(-0.743785\pi\)
−0.0676889 + 0.997706i \(0.521563\pi\)
\(500\) −1.39050e8 + 1.16677e8i −1.11240 + 0.933413i
\(501\) −9.48967e7 1.64366e8i −0.754637 1.30707i
\(502\) −3.27823e8 1.89269e8i −2.59136 1.49612i
\(503\) −2.56440e7 1.45435e8i −0.201504 1.14278i −0.902848 0.429960i \(-0.858527\pi\)
0.701344 0.712823i \(-0.252584\pi\)
\(504\) 1.09879e8 1.93746e7i 0.858265 0.151335i
\(505\) 8.67754e6 1.50299e7i 0.0673787 0.116703i
\(506\) −1.92863e8 + 1.11350e8i −1.48867 + 0.859483i
\(507\) 1.35766e8 + 1.61800e8i 1.04176 + 1.24152i
\(508\) 8.73396e7 + 2.39964e8i 0.666224 + 1.83044i
\(509\) 4.16240e7 1.14361e8i 0.315639 0.867210i −0.675853 0.737037i \(-0.736224\pi\)
0.991491 0.130173i \(-0.0415534\pi\)
\(510\) 9.57916e6 + 8.03787e6i 0.0722133 + 0.0605941i
\(511\) −1.85770e7 + 1.05355e8i −0.139223 + 0.789574i
\(512\) 2.71673e8i 2.02412i
\(513\) 1.09730e8 1.51620e7i 0.812780 0.112307i
\(514\) −1.82574e8 −1.34446
\(515\) 4.85171e7 + 8.55488e6i 0.355200 + 0.0626314i
\(516\) 2.30714e8 2.74955e8i 1.67929 2.00130i
\(517\) 6.31050e7 + 2.29683e7i 0.456659 + 0.166210i
\(518\) 1.45690e8 5.30269e7i 1.04819 0.381511i
\(519\) −6.49816e6 + 5.45260e6i −0.0464824 + 0.0390034i
\(520\) 7.84910e7 + 1.35950e8i 0.558226 + 0.966876i
\(521\) 1.33614e8 + 7.71419e7i 0.944796 + 0.545478i 0.891461 0.453098i \(-0.149681\pi\)
0.0533355 + 0.998577i \(0.483015\pi\)
\(522\) 4.50197e6 + 2.55319e7i 0.0316513 + 0.179503i
\(523\) −8.97071e7 + 1.58178e7i −0.627078 + 0.110571i −0.478151 0.878277i \(-0.658693\pi\)
−0.148927 + 0.988848i \(0.547582\pi\)
\(524\) 2.23412e7 3.86961e7i 0.155279 0.268951i
\(525\) 2.03070e8 1.17242e8i 1.40336 0.810228i
\(526\) 1.81054e8 + 2.15772e8i 1.24409 + 1.48265i
\(527\) −7.31096e6 2.00867e7i −0.0499508 0.137239i
\(528\) −7.31176e7 + 2.00889e8i −0.496730 + 1.36475i
\(529\) −6.91461e6 5.80204e6i −0.0467090 0.0391935i
\(530\) 1.35126e7 7.66335e7i 0.0907632 0.514744i
\(531\) 4.11317e7i 0.274722i
\(532\) −3.89444e8 3.52297e8i −2.58649 2.33977i
\(533\) −3.29295e8 −2.17472
\(534\) 2.94253e8 + 5.18848e7i 1.93240 + 0.340734i
\(535\) −5.67177e7 + 6.75935e7i −0.370388 + 0.441411i
\(536\) −3.03962e8 1.10633e8i −1.97390 0.718442i
\(537\) −2.50908e8 + 9.13231e7i −1.62029 + 0.589736i
\(538\) 1.33468e8 1.11993e8i 0.857098 0.719190i
\(539\) −1.41208e8 2.44579e8i −0.901763 1.56190i
\(540\) 8.73349e7 + 5.04228e7i 0.554634 + 0.320218i
\(541\) 4.58043e7 + 2.59769e8i 0.289277 + 1.64057i 0.689594 + 0.724196i \(0.257789\pi\)
−0.400317 + 0.916377i \(0.631100\pi\)
\(542\) −2.27457e8 + 4.01067e7i −1.42857 + 0.251895i
\(543\) −4.16788e6 + 7.21898e6i −0.0260325 + 0.0450896i
\(544\) −5.81122e6 + 3.35511e6i −0.0360970 + 0.0208406i
\(545\) −4.39029e7 5.23215e7i −0.271209 0.323214i
\(546\) −2.87656e8 7.90329e8i −1.76724 4.85546i
\(547\) −9.09208e7 + 2.49803e8i −0.555522 + 1.52628i 0.270543 + 0.962708i \(0.412797\pi\)
−0.826065 + 0.563576i \(0.809425\pi\)
\(548\) −1.97906e8 1.66062e8i −1.20259 1.00909i
\(549\) −3.20379e6 + 1.81696e7i −0.0193618 + 0.109806i
\(550\) 2.53937e8i 1.52629i
\(551\) 4.26784e7 4.71785e7i 0.255125 0.282026i
\(552\) 3.52005e8 2.09282
\(553\) 3.58978e7 + 6.32975e6i 0.212272 + 0.0374293i
\(554\) 6.37127e7 7.59299e7i 0.374711 0.446564i
\(555\) −2.57400e7 9.36858e6i −0.150567 0.0548018i
\(556\) −1.51398e7 + 5.51044e6i −0.0880838 + 0.0320599i
\(557\) −4.76763e7 + 4.00052e7i −0.275891 + 0.231500i −0.770225 0.637772i \(-0.779856\pi\)
0.494335 + 0.869272i \(0.335412\pi\)
\(558\) 4.77855e7 + 8.27668e7i 0.275038 + 0.476380i
\(559\) −2.61743e8 1.51117e8i −1.49844 0.865126i
\(560\) −2.42615e7 1.37594e8i −0.138151 0.783492i
\(561\) 2.51924e7 4.44210e6i 0.142686 0.0251594i
\(562\) −1.01212e8 + 1.75303e8i −0.570192 + 0.987601i
\(563\) 2.53276e8 1.46229e8i 1.41928 0.819422i 0.423045 0.906109i \(-0.360961\pi\)
0.996236 + 0.0866863i \(0.0276278\pi\)
\(564\) −1.30872e8 1.55968e8i −0.729476 0.869355i
\(565\) −2.07679e7 5.70594e7i −0.115146 0.316360i
\(566\) −1.91435e8 + 5.25963e8i −1.05578 + 2.90072i
\(567\) −2.79348e8 2.34401e8i −1.53249 1.28591i
\(568\) −9.97733e6 + 5.65842e7i −0.0544464 + 0.308781i
\(569\) 1.13949e8i 0.618547i 0.950973 + 0.309273i \(0.100086\pi\)
−0.950973 + 0.309273i \(0.899914\pi\)
\(570\) 1.87780e7 + 1.35899e8i 0.101397 + 0.733826i
\(571\) 9.76940e7 0.524759 0.262379 0.964965i \(-0.415493\pi\)
0.262379 + 0.964965i \(0.415493\pi\)
\(572\) 6.06622e8 + 1.06964e8i 3.24138 + 0.571543i
\(573\) −2.65707e7 + 3.16658e7i −0.141234 + 0.168316i
\(574\) 7.26476e8 + 2.64416e8i 3.84137 + 1.39814i
\(575\) 1.48949e8 5.42130e7i 0.783491 0.285167i
\(576\) −2.79385e7 + 2.34432e7i −0.146196 + 0.122673i
\(577\) 7.06655e7 + 1.22396e8i 0.367858 + 0.637149i 0.989230 0.146367i \(-0.0467579\pi\)
−0.621372 + 0.783515i \(0.713425\pi\)
\(578\) −2.89166e8 1.66950e8i −1.49749 0.864576i
\(579\) 2.49210e7 + 1.41334e8i 0.128390 + 0.728133i
\(580\) 5.70370e7 1.00572e7i 0.292330 0.0515456i
\(581\) 1.87471e8 3.24709e8i 0.955884 1.65564i
\(582\) −8.88362e7 + 5.12896e7i −0.450631 + 0.260172i
\(583\) −1.02324e8 1.21946e8i −0.516385 0.615404i
\(584\) 6.26321e7 + 1.72080e8i 0.314455 + 0.863958i
\(585\) −1.08893e7 + 2.99181e7i −0.0543917 + 0.149440i
\(586\) 3.06085e8 + 2.56836e8i 1.52107 + 1.27633i
\(587\) 4.96829e7 2.81766e8i 0.245636 1.39307i −0.573374 0.819294i \(-0.694366\pi\)
0.819010 0.573779i \(-0.194523\pi\)
\(588\) 8.56232e8i 4.21172i
\(589\) 8.83557e7 2.17236e8i 0.432403 1.06313i
\(590\) −1.35867e8 −0.661545
\(591\) 2.73807e7 + 4.82796e6i 0.132642 + 0.0233884i
\(592\) 6.46696e7 7.70703e7i 0.311699 0.371468i
\(593\) −8.71586e7 3.17231e7i −0.417971 0.152129i 0.124469 0.992223i \(-0.460277\pi\)
−0.542440 + 0.840094i \(0.682499\pi\)
\(594\) 2.86651e8 1.04332e8i 1.36771 0.497806i
\(595\) −1.28071e7 + 1.07464e7i −0.0607993 + 0.0510167i
\(596\) 4.77951e7 + 8.27835e7i 0.225759 + 0.391026i
\(597\) 4.96346e7 + 2.86566e7i 0.233271 + 0.134679i
\(598\) −9.87254e7 5.59899e8i −0.461663 2.61822i
\(599\) 1.90006e8 3.35032e7i 0.884072 0.155886i 0.286863 0.957972i \(-0.407388\pi\)
0.597209 + 0.802086i \(0.296276\pi\)
\(600\) 2.00690e8 3.47606e8i 0.929121 1.60929i
\(601\) −1.23218e8 + 7.11397e7i −0.567609 + 0.327709i −0.756194 0.654348i \(-0.772943\pi\)
0.188585 + 0.982057i \(0.439610\pi\)
\(602\) 4.56102e8 + 5.43562e8i 2.09061 + 2.49149i
\(603\) −2.24380e7 6.16479e7i −0.102337 0.281168i
\(604\) 5.03152e7 1.38240e8i 0.228344 0.627369i
\(605\) −1.17982e6 989985.i −0.00532781 0.00447057i
\(606\) −2.76382e7 + 1.56744e8i −0.124192 + 0.704326i
\(607\) 2.10131e7i 0.0939561i 0.998896 + 0.0469781i \(0.0149591\pi\)
−0.998896 + 0.0469781i \(0.985041\pi\)
\(608\) −7.19742e7 1.54732e7i −0.320233 0.0688446i
\(609\) −1.61773e8 −0.716231
\(610\) 6.00183e7 + 1.05828e7i 0.264420 + 0.0466243i
\(611\) −1.10201e8 + 1.31332e8i −0.483128 + 0.575769i
\(612\) −1.56155e7 5.68358e6i −0.0681242 0.0247952i
\(613\) −3.76017e8 + 1.36859e8i −1.63240 + 0.594145i −0.985686 0.168589i \(-0.946079\pi\)
−0.646713 + 0.762734i \(0.723857\pi\)
\(614\) −5.22942e8 + 4.38800e8i −2.25917 + 1.89567i
\(615\) −6.82941e7 1.18289e8i −0.293601 0.508532i
\(616\) −6.52944e8 3.76977e8i −2.79340 1.61277i
\(617\) 1.00764e7 + 5.71461e7i 0.0428993 + 0.243294i 0.998715 0.0506713i \(-0.0161361\pi\)
−0.955816 + 0.293965i \(0.905025\pi\)
\(618\) −4.44947e8 + 7.84561e7i −1.88514 + 0.332400i
\(619\) −5.71511e7 + 9.89886e7i −0.240964 + 0.417362i −0.960989 0.276586i \(-0.910797\pi\)
0.720025 + 0.693948i \(0.244130\pi\)
\(620\) 1.84897e8 1.06750e8i 0.775808 0.447913i
\(621\) −1.22394e8 1.45864e8i −0.511077 0.609078i
\(622\) −2.17432e8 5.97389e8i −0.903549 2.48248i
\(623\) −1.36629e8 + 3.75385e8i −0.565040 + 1.55243i
\(624\) −4.18085e8 3.50815e8i −1.72072 1.44386i
\(625\) 2.54680e7 1.44436e8i 0.104317 0.591610i
\(626\) 5.48650e8i 2.23652i
\(627\) 2.37661e8 + 1.49275e8i 0.964175 + 0.605599i
\(628\) 2.99903e8 1.21088
\(629\) −1.18558e7 2.09051e6i −0.0476410 0.00840039i
\(630\) 4.80470e7 5.72602e7i 0.192152 0.228998i
\(631\) 1.34981e8 + 4.91291e7i 0.537260 + 0.195547i 0.596377 0.802704i \(-0.296606\pi\)
−0.0591171 + 0.998251i \(0.518829\pi\)
\(632\) 5.86332e7 2.13407e7i 0.232269 0.0845392i
\(633\) 1.06199e8 8.91119e7i 0.418708 0.351337i
\(634\) −3.88844e7 6.73498e7i −0.152584 0.264283i
\(635\) 7.72423e7 + 4.45959e7i 0.301671 + 0.174170i
\(636\) 8.38079e7 + 4.75298e8i 0.325772 + 1.84754i
\(637\) 7.10036e8 1.25198e8i 2.74702 0.484374i
\(638\) 8.75963e7 1.51721e8i 0.337306 0.584231i
\(639\) −1.00919e7 + 5.82656e6i −0.0386786 + 0.0223311i
\(640\) 9.80587e7 + 1.16862e8i 0.374064 + 0.445792i
\(641\) 1.07801e8 + 2.96180e8i 0.409305 + 1.12456i 0.957557 + 0.288243i \(0.0930711\pi\)
−0.548252 + 0.836313i \(0.684707\pi\)
\(642\) 2.76768e8 7.60414e8i 1.04595 2.87372i
\(643\) 1.05809e8 + 8.87840e7i 0.398005 + 0.333966i 0.819722 0.572762i \(-0.194128\pi\)
−0.421717 + 0.906727i \(0.638572\pi\)
\(644\) −1.56752e8 + 8.88985e8i −0.586888 + 3.32841i
\(645\) 1.25364e8i 0.467189i
\(646\) 1.84992e7 + 5.73874e7i 0.0686207 + 0.212872i
\(647\) 4.04081e8 1.49195 0.745977 0.665972i \(-0.231983\pi\)
0.745977 + 0.665972i \(0.231983\pi\)
\(648\) −6.14731e8 1.08394e8i −2.25923 0.398363i
\(649\) −1.78660e8 + 2.12919e8i −0.653572 + 0.778897i
\(650\) −6.09188e8 2.21726e8i −2.21825 0.807379i
\(651\) −5.60382e8 + 2.03962e8i −2.03115 + 0.739277i
\(652\) −5.95465e8 + 4.99654e8i −2.14839 + 1.80271i
\(653\) 1.81863e8 + 3.14995e8i 0.653136 + 1.13127i 0.982358 + 0.187013i \(0.0598805\pi\)
−0.329221 + 0.944253i \(0.606786\pi\)
\(654\) 5.42463e8 + 3.13191e8i 1.93926 + 1.11963i
\(655\) −2.71002e6 1.53693e7i −0.00964380 0.0546927i
\(656\) 4.94055e8 8.71152e7i 1.75010 0.308591i
\(657\) −1.85701e7 + 3.21643e7i −0.0654813 + 0.113417i
\(658\) 3.48577e8 2.01251e8i 1.22355 0.706416i
\(659\) −2.69929e8 3.21689e8i −0.943178 1.12404i −0.992127 0.125234i \(-0.960032\pi\)
0.0489496 0.998801i \(-0.484413\pi\)
\(660\) 8.73868e7 + 2.40093e8i 0.303958 + 0.835119i
\(661\) 5.44246e7 1.49530e8i 0.188448 0.517756i −0.809106 0.587663i \(-0.800048\pi\)
0.997554 + 0.0699070i \(0.0222702\pi\)
\(662\) −2.51101e8 2.10699e8i −0.865515 0.726253i
\(663\) −1.13404e7 + 6.43146e7i −0.0389124 + 0.220683i
\(664\) 6.41807e8i 2.19230i
\(665\) −1.83293e8 6.82653e6i −0.623276 0.0232132i
\(666\) 5.38250e7 0.182206
\(667\) −1.07694e8 1.89894e7i −0.362924 0.0639933i
\(668\) 5.35530e8 6.38220e8i 1.79661 2.14112i
\(669\) −1.83099e8 6.66426e7i −0.611516 0.222574i
\(670\) −2.03637e8 + 7.41179e7i −0.677068 + 0.246433i
\(671\) 9.55060e7 8.01391e7i 0.316128 0.265263i
\(672\) 9.36015e7 + 1.62123e8i 0.308443 + 0.534239i
\(673\) 3.69173e8 + 2.13142e8i 1.21111 + 0.699236i 0.963001 0.269496i \(-0.0868572\pi\)
0.248110 + 0.968732i \(0.420191\pi\)
\(674\) −8.22621e7 4.66532e8i −0.268671 1.52371i
\(675\) −2.13822e8 + 3.77026e7i −0.695250 + 0.122591i
\(676\) −4.63586e8 + 8.02954e8i −1.50069 + 2.59926i
\(677\) −6.17737e7 + 3.56650e7i −0.199084 + 0.114941i −0.596228 0.802815i \(-0.703335\pi\)
0.397144 + 0.917756i \(0.370001\pi\)
\(678\) 3.57950e8 + 4.26588e8i 1.14851 + 1.36874i
\(679\) −4.69065e7 1.28875e8i −0.149839 0.411678i
\(680\) −9.78787e6 + 2.68920e7i −0.0311287 + 0.0855255i
\(681\) 4.51749e8 + 3.79063e8i 1.43040 + 1.20024i
\(682\) 1.12145e8 6.36005e8i 0.353530 2.00497i
\(683\) 4.25777e7i 0.133635i −0.997765 0.0668175i \(-0.978715\pi\)
0.997765 0.0668175i \(-0.0212845\pi\)
\(684\) −8.52177e7 1.61172e8i −0.266294 0.503642i
\(685\) −9.02337e7 −0.280735
\(686\) −7.34128e8 1.29447e8i −2.27405 0.400976i
\(687\) 3.31579e8 3.95160e8i 1.02263 1.21872i
\(688\) 4.32682e8 + 1.57483e8i 1.32863 + 0.483581i
\(689\) 3.81890e8 1.38996e8i 1.16756 0.424958i
\(690\) 1.80651e8 1.51584e8i 0.549912 0.461431i
\(691\) −2.17163e8 3.76137e8i −0.658190 1.14002i −0.981084 0.193583i \(-0.937989\pi\)
0.322894 0.946435i \(-0.395344\pi\)
\(692\) −3.22479e7 1.86184e7i −0.0973159 0.0561854i
\(693\) −2.65530e7 1.50590e8i −0.0797836 0.452476i
\(694\) −3.02835e8 + 5.33979e7i −0.905998 + 0.159752i
\(695\) −2.81365e6 + 4.87338e6i −0.00838137 + 0.0145170i
\(696\) −2.39815e8 + 1.38457e8i −0.711294 + 0.410666i
\(697\) −3.85869e7 4.59860e7i −0.113957 0.135809i
\(698\) 1.96772e8 + 5.40627e8i 0.578625 + 1.58976i
\(699\) −2.31000e8 + 6.34667e8i −0.676364 + 1.85829i
\(700\) 7.88504e8 + 6.61634e8i 2.29885 + 1.92896i
\(701\) 8.39819e7 4.76285e8i 0.243799 1.38265i −0.579467 0.814996i \(-0.696739\pi\)
0.823266 0.567657i \(-0.192150\pi\)
\(702\) 7.78767e8i 2.25111i
\(703\) −8.10740e7 1.04268e8i −0.233354 0.300112i
\(704\) 2.46452e8 0.706341
\(705\) −7.00321e7 1.23485e7i −0.199862 0.0352410i
\(706\) −4.82058e8 + 5.74494e8i −1.36989 + 1.63257i
\(707\) −1.99962e8 7.27802e7i −0.565834 0.205947i
\(708\) 7.91860e8 2.88214e8i 2.23125 0.812110i
\(709\) −3.56113e8 + 2.98815e8i −0.999194 + 0.838423i −0.986873 0.161501i \(-0.948367\pi\)
−0.0123212 + 0.999924i \(0.503922\pi\)
\(710\) 1.92465e7 + 3.33359e7i 0.0537744 + 0.0931401i
\(711\) 1.09594e7 + 6.32741e6i 0.0304914 + 0.0176042i
\(712\) 1.18742e8 + 6.73417e8i 0.328975 + 1.86571i
\(713\) −3.96996e8 + 7.00012e7i −1.09526 + 0.193124i
\(714\) 7.66617e7 1.32782e8i 0.210612 0.364791i
\(715\) 1.86321e8 1.07573e8i 0.509735 0.294296i
\(716\) −7.53410e8 8.97879e8i −2.05254 2.44612i
\(717\) 1.11723e8 + 3.06956e8i 0.303099 + 0.832758i
\(718\) 3.83553e8 1.05380e9i 1.03622 2.84699i
\(719\) −8.38114e7 7.03261e7i −0.225484 0.189204i 0.523046 0.852305i \(-0.324796\pi\)
−0.748530 + 0.663101i \(0.769240\pi\)
\(720\) 8.42281e6 4.77681e7i 0.0225663 0.127980i
\(721\) 6.04058e8i 1.61166i
\(722\) −2.71861e8 + 6.03062e8i −0.722328 + 1.60232i
\(723\) −2.76799e8 −0.732403
\(724\) −3.60356e7 6.35405e6i −0.0949546 0.0167431i
\(725\) −8.01524e7 + 9.55219e7i −0.210331 + 0.250662i
\(726\) 1.32727e7 + 4.83088e6i 0.0346857 + 0.0126246i
\(727\) −1.67480e8 + 6.09579e7i −0.435874 + 0.158645i −0.550632 0.834748i \(-0.685613\pi\)
0.114758 + 0.993394i \(0.463391\pi\)
\(728\) 1.47448e9 1.23724e9i 3.82160 3.20670i
\(729\) 1.16006e8 + 2.00928e8i 0.299432 + 0.518631i
\(730\) 1.06246e8 + 6.13412e7i 0.273114 + 0.157683i
\(731\) −9.56757e6 5.42604e7i −0.0244934 0.138909i
\(732\) −3.72247e8 + 6.56371e7i −0.949068 + 0.167346i
\(733\) 6.04996e7 1.04788e8i 0.153617 0.266073i −0.778937 0.627102i \(-0.784241\pi\)
0.932555 + 0.361029i \(0.117574\pi\)
\(734\) −5.47886e8 + 3.16322e8i −1.38549 + 0.799910i
\(735\) 1.92231e8 + 2.29092e8i 0.484130 + 0.576963i
\(736\) 4.32814e7 + 1.18915e8i 0.108559 + 0.298265i
\(737\) −1.51624e8 + 4.16583e8i −0.378761 + 1.04064i
\(738\) 2.05603e8 + 1.72521e8i 0.511517 + 0.429214i
\(739\) 6.69498e7 3.79691e8i 0.165888 0.940800i −0.782255 0.622958i \(-0.785931\pi\)
0.948144 0.317842i \(-0.102958\pi\)
\(740\) 1.20242e8i 0.296730i
\(741\) −5.65623e8 + 4.39803e8i −1.39018 + 1.08095i
\(742\) −9.54118e8 −2.33556
\(743\) 4.12279e8 + 7.26958e7i 1.00513 + 0.177232i 0.651902 0.758303i \(-0.273971\pi\)
0.353233 + 0.935535i \(0.385082\pi\)
\(744\) −6.56156e8 + 7.81976e8i −1.59327 + 1.89878i
\(745\) 3.13736e7 + 1.14190e7i 0.0758744 + 0.0276160i
\(746\) 6.85790e8 2.49607e8i 1.65187 0.601230i
\(747\) 9.97142e7 8.36701e7i 0.239219 0.200728i
\(748\) 5.61466e7 + 9.72488e7i 0.134159 + 0.232370i
\(749\) 9.36950e8 + 5.40949e8i 2.22983 + 1.28739i
\(750\) −1.00964e8 5.72593e8i −0.239321 1.35726i
\(751\) 7.65920e8 1.35052e8i 1.80827 0.318847i 0.835304 0.549789i \(-0.185292\pi\)
0.972968 + 0.230942i \(0.0741806\pi\)
\(752\) 1.30595e8 2.26197e8i 0.307095 0.531904i
\(753\) 7.10153e8 4.10007e8i 1.66329 0.960298i
\(754\) 2.87490e8 + 3.42618e8i 0.670671 + 0.799274i
\(755\) −1.75738e7 4.82835e7i −0.0408342 0.112191i
\(756\) 4.22906e8 1.16192e9i 0.978765 2.68913i
\(757\) 1.51735e8 + 1.27321e8i 0.349782 + 0.293502i 0.800703 0.599062i \(-0.204460\pi\)
−0.450920 + 0.892564i \(0.648904\pi\)
\(758\) −1.49002e8 + 8.45035e8i −0.342126 + 1.94029i
\(759\) 4.82426e8i 1.10333i
\(760\) −2.77560e8 + 1.46756e8i −0.632290 + 0.334315i
\(761\) −3.02170e8 −0.685642 −0.342821 0.939401i \(-0.611382\pi\)
−0.342821 + 0.939401i \(0.611382\pi\)
\(762\) −8.05544e8 1.42039e8i −1.82064 0.321028i
\(763\) −5.38305e8 + 6.41527e8i −1.21187 + 1.44425i
\(764\) −1.70513e8 6.20616e7i −0.382364 0.139169i