Properties

Label 19.7.f.a.2.2
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 2.2
Character \(\chi\) \(=\) 19.2
Dual form 19.7.f.a.10.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.2866 - 2.34278i) q^{2} +(-30.7619 + 36.6606i) q^{3} +(110.904 + 40.3656i) q^{4} +(-169.577 + 61.7209i) q^{5} +(494.607 - 415.025i) q^{6} +(-29.1620 - 50.5101i) q^{7} +(-631.184 - 364.414i) q^{8} +(-271.115 - 1537.57i) q^{9} +O(q^{10})\) \(q+(-13.2866 - 2.34278i) q^{2} +(-30.7619 + 36.6606i) q^{3} +(110.904 + 40.3656i) q^{4} +(-169.577 + 61.7209i) q^{5} +(494.607 - 415.025i) q^{6} +(-29.1620 - 50.5101i) q^{7} +(-631.184 - 364.414i) q^{8} +(-271.115 - 1537.57i) q^{9} +(2397.69 - 422.777i) q^{10} +(-267.061 + 462.562i) q^{11} +(-4891.43 + 2824.07i) q^{12} +(2282.40 + 2720.06i) q^{13} +(269.129 + 739.426i) q^{14} +(2953.78 - 8115.43i) q^{15} +(1746.31 + 1465.33i) q^{16} +(-230.723 + 1308.49i) q^{17} +21064.2i q^{18} +(-3369.80 - 5974.14i) q^{19} -21298.1 q^{20} +(2748.81 + 484.689i) q^{21} +(4632.00 - 5520.20i) q^{22} +(-5716.82 - 2080.75i) q^{23} +(32776.1 - 11929.5i) q^{24} +(12977.4 - 10889.3i) q^{25} +(-23952.8 - 41487.4i) q^{26} +(34494.6 + 19915.5i) q^{27} +(-1195.30 - 6778.91i) q^{28} +(-11855.6 + 2090.46i) q^{29} +(-58258.2 + 100906. i) q^{30} +(14864.0 - 8581.75i) q^{31} +(10213.3 + 12171.7i) q^{32} +(-8742.52 - 24019.9i) q^{33} +(6131.02 - 16844.8i) q^{34} +(8062.74 + 6765.44i) q^{35} +(31997.4 - 181466. i) q^{36} +17337.3i q^{37} +(30777.0 + 87270.4i) q^{38} -169930. q^{39} +(129526. + 22839.0i) q^{40} +(54796.0 - 65303.4i) q^{41} +(-35386.7 - 12879.7i) q^{42} +(-83694.2 + 30462.2i) q^{43} +(-48289.6 + 40519.8i) q^{44} +(140875. + 244003. i) q^{45} +(71082.1 + 41039.3i) q^{46} +(-21289.2 - 120737. i) q^{47} +(-107440. + 18944.5i) q^{48} +(57123.6 - 98941.1i) q^{49} +(-197936. + 114278. i) q^{50} +(-40872.6 - 48710.1i) q^{51} +(143330. + 393795. i) q^{52} +(8760.41 - 24069.0i) q^{53} +(-411657. - 345421. i) q^{54} +(16737.5 - 94923.1i) q^{55} +42508.3i q^{56} +(322677. + 60236.9i) q^{57} +162418. q^{58} +(-32344.5 - 5703.21i) q^{59} +(655169. - 780800. i) q^{60} +(251440. + 91516.8i) q^{61} +(-217597. + 79198.8i) q^{62} +(-69756.7 + 58532.8i) q^{63} +(-180133. - 311999. i) q^{64} +(-554927. - 320387. i) q^{65} +(59884.8 + 339623. i) q^{66} +(-125216. + 22078.9i) q^{67} +(-78406.1 + 135803. i) q^{68} +(252142. - 145574. i) q^{69} +(-91276.1 - 108779. i) q^{70} +(112194. + 308250. i) q^{71} +(-389189. + 1.06929e6i) q^{72} +(-240588. - 201877. i) q^{73} +(40617.5 - 230353. i) q^{74} +810733. i q^{75} +(-132573. - 798578. i) q^{76} +31152.1 q^{77} +(2.25778e6 + 398108. i) q^{78} +(-478243. + 569948. i) q^{79} +(-386576. - 140702. i) q^{80} +(-721691. + 262674. i) q^{81} +(-881042. + 739282. i) q^{82} +(-142692. - 247150. i) q^{83} +(285288. + 164711. i) q^{84} +(-41636.2 - 236130. i) q^{85} +(1.18337e6 - 208661. i) q^{86} +(288063. - 498940. i) q^{87} +(337129. - 194641. i) q^{88} +(32759.9 + 39041.7i) q^{89} +(-1.30010e6 - 3.57200e6i) q^{90} +(70831.1 - 194607. i) q^{91} +(-550026. - 461526. i) q^{92} +(-142633. + 808915. i) q^{93} +1.65405e6i q^{94} +(940169. + 805088. i) q^{95} -760402. q^{96} +(-411219. - 72509.1i) q^{97} +(-990774. + 1.18076e6i) q^{98} +(783627. + 285217. i) 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 \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −13.2866 2.34278i −1.66082 0.292847i −0.737062 0.675825i \(-0.763788\pi\)
−0.923758 + 0.382978i \(0.874899\pi\)
\(3\) −30.7619 + 36.6606i −1.13933 + 1.35780i −0.214813 + 0.976655i \(0.568914\pi\)
−0.924516 + 0.381144i \(0.875530\pi\)
\(4\) 110.904 + 40.3656i 1.73287 + 0.630713i
\(5\) −169.577 + 61.7209i −1.35661 + 0.493767i −0.915006 0.403441i \(-0.867814\pi\)
−0.441608 + 0.897208i \(0.645592\pi\)
\(6\) 494.607 415.025i 2.28985 1.92141i
\(7\) −29.1620 50.5101i −0.0850205 0.147260i 0.820379 0.571820i \(-0.193762\pi\)
−0.905400 + 0.424560i \(0.860429\pi\)
\(8\) −631.184 364.414i −1.23278 0.711747i
\(9\) −271.115 1537.57i −0.371900 2.10915i
\(10\) 2397.69 422.777i 2.39769 0.422777i
\(11\) −267.061 + 462.562i −0.200647 + 0.347530i −0.948737 0.316067i \(-0.897638\pi\)
0.748090 + 0.663597i \(0.230971\pi\)
\(12\) −4891.43 + 2824.07i −2.83069 + 1.63430i
\(13\) 2282.40 + 2720.06i 1.03887 + 1.23808i 0.970672 + 0.240407i \(0.0772809\pi\)
0.0681993 + 0.997672i \(0.478275\pi\)
\(14\) 269.129 + 739.426i 0.0980791 + 0.269470i
\(15\) 2953.78 8115.43i 0.875193 2.40457i
\(16\) 1746.31 + 1465.33i 0.426346 + 0.357747i
\(17\) −230.723 + 1308.49i −0.0469617 + 0.266333i −0.999244 0.0388869i \(-0.987619\pi\)
0.952282 + 0.305220i \(0.0987299\pi\)
\(18\) 21064.2i 3.61183i
\(19\) −3369.80 5974.14i −0.491296 0.870993i
\(20\) −21298.1 −2.66226
\(21\) 2748.81 + 484.689i 0.296816 + 0.0523366i
\(22\) 4632.00 5520.20i 0.435011 0.518426i
\(23\) −5716.82 2080.75i −0.469863 0.171016i 0.0962274 0.995359i \(-0.469322\pi\)
−0.566090 + 0.824343i \(0.691545\pi\)
\(24\) 32776.1 11929.5i 2.37095 0.862956i
\(25\) 12977.4 10889.3i 0.830551 0.696915i
\(26\) −23952.8 41487.4i −1.36281 2.36046i
\(27\) 34494.6 + 19915.5i 1.75251 + 1.01181i
\(28\) −1195.30 6778.91i −0.0544508 0.308806i
\(29\) −11855.6 + 2090.46i −0.486105 + 0.0857134i −0.411329 0.911487i \(-0.634935\pi\)
−0.0747759 + 0.997200i \(0.523824\pi\)
\(30\) −58258.2 + 100906.i −2.15771 + 3.73726i
\(31\) 14864.0 8581.75i 0.498944 0.288065i −0.229334 0.973348i \(-0.573655\pi\)
0.728277 + 0.685283i \(0.240321\pi\)
\(32\) 10213.3 + 12171.7i 0.311685 + 0.371452i
\(33\) −8742.52 24019.9i −0.243274 0.668389i
\(34\) 6131.02 16844.8i 0.155990 0.428578i
\(35\) 8062.74 + 6765.44i 0.188052 + 0.157795i
\(36\) 31997.4 181466.i 0.685815 3.88945i
\(37\) 17337.3i 0.342276i 0.985247 + 0.171138i \(0.0547444\pi\)
−0.985247 + 0.171138i \(0.945256\pi\)
\(38\) 30777.0 + 87270.4i 0.560886 + 1.59044i
\(39\) −169930. −2.86468
\(40\) 129526. + 22839.0i 2.02385 + 0.356859i
\(41\) 54796.0 65303.4i 0.795056 0.947511i −0.204452 0.978877i \(-0.565541\pi\)
0.999508 + 0.0313659i \(0.00998573\pi\)
\(42\) −35386.7 12879.7i −0.477631 0.173843i
\(43\) −83694.2 + 30462.2i −1.05266 + 0.383138i −0.809668 0.586889i \(-0.800353\pi\)
−0.242996 + 0.970027i \(0.578130\pi\)
\(44\) −48289.6 + 40519.8i −0.566886 + 0.475674i
\(45\) 140875. + 244003.i 1.54595 + 2.67767i
\(46\) 71082.1 + 41039.3i 0.730276 + 0.421625i
\(47\) −21289.2 120737.i −0.205053 1.16291i −0.897357 0.441306i \(-0.854516\pi\)
0.692304 0.721606i \(-0.256596\pi\)
\(48\) −107440. + 18944.5i −0.971497 + 0.171301i
\(49\) 57123.6 98941.1i 0.485543 0.840985i
\(50\) −197936. + 114278.i −1.58349 + 0.914226i
\(51\) −40872.6 48710.1i −0.308122 0.367205i
\(52\) 143330. + 393795.i 1.01936 + 2.80066i
\(53\) 8760.41 24069.0i 0.0588432 0.161670i −0.906788 0.421588i \(-0.861473\pi\)
0.965631 + 0.259917i \(0.0836952\pi\)
\(54\) −411657. 345421.i −2.61429 2.19365i
\(55\) 16737.5 94923.1i 0.100601 0.570537i
\(56\) 42508.3i 0.242052i
\(57\) 322677. + 60236.9i 1.74238 + 0.325266i
\(58\) 162418. 0.832434
\(59\) −32344.5 5703.21i −0.157487 0.0277692i 0.0943487 0.995539i \(-0.469923\pi\)
−0.251836 + 0.967770i \(0.581034\pi\)
\(60\) 655169. 780800.i 3.03319 3.61482i
\(61\) 251440. + 91516.8i 1.10776 + 0.403191i 0.830171 0.557509i \(-0.188243\pi\)
0.277588 + 0.960700i \(0.410465\pi\)
\(62\) −217597. + 79198.8i −0.913014 + 0.332310i
\(63\) −69756.7 + 58532.8i −0.278974 + 0.234087i
\(64\) −180133. 311999.i −0.687152 1.19018i
\(65\) −554927. 320387.i −2.02067 1.16663i
\(66\) 59884.8 + 339623.i 0.208298 + 1.18132i
\(67\) −125216. + 22078.9i −0.416326 + 0.0734095i −0.377888 0.925851i \(-0.623349\pi\)
−0.0384385 + 0.999261i \(0.512238\pi\)
\(68\) −78406.1 + 135803.i −0.249358 + 0.431901i
\(69\) 252142. 145574.i 0.767534 0.443136i
\(70\) −91276.1 108779.i −0.266111 0.317139i
\(71\) 112194. + 308250.i 0.313468 + 0.861247i 0.991950 + 0.126630i \(0.0404160\pi\)
−0.678482 + 0.734617i \(0.737362\pi\)
\(72\) −389189. + 1.06929e6i −1.04271 + 2.86482i
\(73\) −240588. 201877.i −0.618451 0.518942i 0.278865 0.960330i \(-0.410042\pi\)
−0.897316 + 0.441388i \(0.854486\pi\)
\(74\) 40617.5 230353.i 0.100235 0.568459i
\(75\) 810733.i 1.92174i
\(76\) −132573. 798578.i −0.302006 1.81918i
\(77\) 31152.1 0.0682363
\(78\) 2.25778e6 + 398108.i 4.75771 + 0.838913i
\(79\) −478243. + 569948.i −0.969990 + 1.15599i 0.0177438 + 0.999843i \(0.494352\pi\)
−0.987734 + 0.156147i \(0.950093\pi\)
\(80\) −386576. 140702.i −0.755031 0.274809i
\(81\) −721691. + 262674.i −1.35799 + 0.494268i
\(82\) −881042. + 739282.i −1.59792 + 1.34081i
\(83\) −142692. 247150.i −0.249555 0.432242i 0.713847 0.700301i \(-0.246951\pi\)
−0.963402 + 0.268059i \(0.913618\pi\)
\(84\) 285288. + 164711.i 0.481334 + 0.277898i
\(85\) −41636.2 236130.i −0.0677975 0.384499i
\(86\) 1.18337e6 208661.i 1.86049 0.328054i
\(87\) 288063. 498940.i 0.437452 0.757689i
\(88\) 337129. 194641.i 0.494707 0.285619i
\(89\) 32759.9 + 39041.7i 0.0464699 + 0.0553807i 0.788779 0.614677i \(-0.210714\pi\)
−0.742309 + 0.670058i \(0.766269\pi\)
\(90\) −1.30010e6 3.57200e6i −1.78340 4.89986i
\(91\) 70831.1 194607.i 0.0939939 0.258246i
\(92\) −550026. 461526.i −0.706349 0.592697i
\(93\) −142633. + 808915.i −0.177326 + 1.00567i
\(94\) 1.65405e6i 1.99144i
\(95\) 940169. + 805088.i 1.09657 + 0.939015i
\(96\) −760402. −0.859468
\(97\) −411219. 72509.1i −0.450566 0.0794469i −0.0562394 0.998417i \(-0.517911\pi\)
−0.394327 + 0.918970i \(0.629022\pi\)
\(98\) −990774. + 1.18076e6i −1.05268 + 1.25453i
\(99\) 783627. + 285217.i 0.807614 + 0.293947i
\(100\) 1.87879e6 683824.i 1.87879 0.683824i
\(101\) 721072. 605051.i 0.699865 0.587256i −0.221870 0.975076i \(-0.571216\pi\)
0.921735 + 0.387820i \(0.126772\pi\)
\(102\) 428940. + 742945.i 0.404199 + 0.700094i
\(103\) −1.11357e6 642919.i −1.01907 0.588362i −0.105238 0.994447i \(-0.533560\pi\)
−0.913835 + 0.406085i \(0.866894\pi\)
\(104\) −449387. 2.54860e6i −0.399503 2.26569i
\(105\) −496050. + 87467.0i −0.428506 + 0.0755573i
\(106\) −172784. + 299271.i −0.145073 + 0.251273i
\(107\) 1.10100e6 635662.i 0.898743 0.518890i 0.0219511 0.999759i \(-0.493012\pi\)
0.876792 + 0.480869i \(0.159679\pi\)
\(108\) 3.02168e6 + 3.60110e6i 2.39871 + 2.85867i
\(109\) −453240. 1.24527e6i −0.349984 0.961574i −0.982374 0.186924i \(-0.940148\pi\)
0.632390 0.774650i \(-0.282074\pi\)
\(110\) −444767. + 1.22199e6i −0.334160 + 0.918098i
\(111\) −635596. 533328.i −0.464742 0.389965i
\(112\) 23088.0 130939.i 0.0164336 0.0931996i
\(113\) 1.40547e6i 0.974060i 0.873385 + 0.487030i \(0.161920\pi\)
−0.873385 + 0.487030i \(0.838080\pi\)
\(114\) −4.14614e6 1.55630e6i −2.79853 1.05046i
\(115\) 1.09787e6 0.721865
\(116\) −1.39921e6 246719.i −0.896417 0.158063i
\(117\) 3.56349e6 4.24680e6i 2.22494 2.65158i
\(118\) 416386. + 151552.i 0.253425 + 0.0922393i
\(119\) 72820.5 26504.5i 0.0432128 0.0157282i
\(120\) −4.82176e6 + 4.04593e6i −2.79037 + 2.34140i
\(121\) 743138. + 1.28715e6i 0.419482 + 0.726564i
\(122\) −3.12637e6 1.80501e6i −1.72172 0.994033i
\(123\) 708431. + 4.01771e6i 0.380699 + 2.15905i
\(124\) 1.99488e6 351752.i 1.04629 0.184489i
\(125\) −118719. + 205628.i −0.0607843 + 0.105282i
\(126\) 1.06396e6 614275.i 0.531878 0.307080i
\(127\) −2.32319e6 2.76867e6i −1.13416 1.35164i −0.927765 0.373166i \(-0.878272\pi\)
−0.206392 0.978469i \(-0.566172\pi\)
\(128\) 1.31460e6 + 3.61183e6i 0.626849 + 1.72225i
\(129\) 1.45783e6 4.00535e6i 0.679105 1.86583i
\(130\) 6.62247e6 + 5.55691e6i 3.01432 + 2.52932i
\(131\) 155623. 882584.i 0.0692247 0.392593i −0.930434 0.366460i \(-0.880570\pi\)
0.999658 0.0261326i \(-0.00831921\pi\)
\(132\) 3.01679e6i 1.31167i
\(133\) −203484. + 344427.i −0.0864920 + 0.146400i
\(134\) 1.71541e6 0.712941
\(135\) −7.07868e6 1.24816e6i −2.87707 0.507306i
\(136\) 622462. 741821.i 0.247455 0.294905i
\(137\) −423996. 154322.i −0.164892 0.0600159i 0.258255 0.966077i \(-0.416853\pi\)
−0.423147 + 0.906061i \(0.639075\pi\)
\(138\) −3.69114e6 + 1.34347e6i −1.40451 + 0.511199i
\(139\) −3.44095e6 + 2.88730e6i −1.28125 + 1.07510i −0.288181 + 0.957576i \(0.593050\pi\)
−0.993070 + 0.117521i \(0.962505\pi\)
\(140\) 621096. + 1.07577e6i 0.226347 + 0.392044i
\(141\) 5.08118e6 + 2.93362e6i 1.81262 + 1.04652i
\(142\) −768507. 4.35842e6i −0.268400 1.52217i
\(143\) −1.86774e6 + 329332.i −0.638716 + 0.112623i
\(144\) 1.77960e6 3.08236e6i 0.595984 1.03228i
\(145\) 1.88141e6 1.08623e6i 0.617134 0.356303i
\(146\) 2.72363e6 + 3.24590e6i 0.875165 + 1.04298i
\(147\) 1.87001e6 + 5.13780e6i 0.588696 + 1.61743i
\(148\) −699832. + 1.92277e6i −0.215878 + 0.593120i
\(149\) −1.74717e6 1.46605e6i −0.528173 0.443190i 0.339297 0.940679i \(-0.389811\pi\)
−0.867470 + 0.497490i \(0.834255\pi\)
\(150\) 1.89937e6 1.07718e7i 0.562776 3.19166i
\(151\) 1.89531e6i 0.550489i −0.961374 0.275244i \(-0.911241\pi\)
0.961374 0.275244i \(-0.0887587\pi\)
\(152\) −50097.5 + 4.99879e6i −0.0142655 + 1.42342i
\(153\) 2.07445e6 0.579201
\(154\) −413905. 72982.6i −0.113328 0.0199828i
\(155\) −1.99092e6 + 2.37269e6i −0.534637 + 0.637155i
\(156\) −1.88458e7 6.85933e6i −4.96412 1.80679i
\(157\) −27884.0 + 10148.9i −0.00720535 + 0.00262253i −0.345620 0.938374i \(-0.612331\pi\)
0.338415 + 0.940997i \(0.390109\pi\)
\(158\) 7.68946e6 6.45223e6i 1.94951 1.63583i
\(159\) 612898. + 1.06157e6i 0.152474 + 0.264093i
\(160\) −2.48319e6 1.43367e6i −0.606247 0.350017i
\(161\) 61615.1 + 349437.i 0.0147642 + 0.0837318i
\(162\) 1.02042e7 1.79927e6i 2.40012 0.423206i
\(163\) 4.04458e6 7.00542e6i 0.933922 1.61760i 0.157377 0.987539i \(-0.449696\pi\)
0.776545 0.630062i \(-0.216971\pi\)
\(164\) 8.71310e6 5.03051e6i 1.97534 1.14046i
\(165\) 2.96506e6 + 3.53362e6i 0.660057 + 0.786625i
\(166\) 1.31687e6 + 3.61807e6i 0.287885 + 0.790958i
\(167\) 656365. 1.80335e6i 0.140928 0.387195i −0.849070 0.528281i \(-0.822837\pi\)
0.989997 + 0.141085i \(0.0450591\pi\)
\(168\) −1.55838e6 1.30763e6i −0.328659 0.275777i
\(169\) −1.35120e6 + 7.66305e6i −0.279937 + 1.58760i
\(170\) 3.23490e6i 0.658438i
\(171\) −8.27206e6 + 6.80099e6i −1.65434 + 1.36014i
\(172\) −1.05116e7 −2.06578
\(173\) 6.79347e6 + 1.19787e6i 1.31206 + 0.231351i 0.785539 0.618812i \(-0.212386\pi\)
0.526519 + 0.850163i \(0.323497\pi\)
\(174\) −4.99628e6 + 5.95433e6i −0.948416 + 1.13028i
\(175\) −928467. 337934.i −0.173242 0.0630548i
\(176\) −1.14418e6 + 416447.i −0.209873 + 0.0763875i
\(177\) 1.20406e6 1.01033e6i 0.217134 0.182197i
\(178\) −343800. 595479.i −0.0609601 0.105586i
\(179\) −3.24755e6 1.87498e6i −0.566235 0.326916i 0.189409 0.981898i \(-0.439343\pi\)
−0.755644 + 0.654982i \(0.772676\pi\)
\(180\) 5.77424e6 + 3.27473e7i 0.990096 + 5.61511i
\(181\) −8.68118e6 + 1.53073e6i −1.46401 + 0.258144i −0.848168 0.529728i \(-0.822294\pi\)
−0.615839 + 0.787872i \(0.711183\pi\)
\(182\) −1.39702e6 + 2.41971e6i −0.231734 + 0.401375i
\(183\) −1.10898e7 + 6.40272e6i −1.80956 + 1.04475i
\(184\) 2.85011e6 + 3.39663e6i 0.457518 + 0.545249i
\(185\) −1.07007e6 2.94000e6i −0.169005 0.464337i
\(186\) 3.79022e6 1.04135e7i 0.589013 1.61830i
\(187\) −543643. 456171.i −0.0831359 0.0697593i
\(188\) 2.51258e6 1.42495e7i 0.378134 2.14450i
\(189\) 2.32310e6i 0.344099i
\(190\) −1.06055e7 1.28995e7i −1.54621 1.88066i
\(191\) −1.67335e6 −0.240153 −0.120076 0.992765i \(-0.538314\pi\)
−0.120076 + 0.992765i \(0.538314\pi\)
\(192\) 1.69793e7 + 2.99391e6i 2.39892 + 0.422994i
\(193\) 1.07959e6 1.28661e6i 0.150172 0.178968i −0.685714 0.727871i \(-0.740510\pi\)
0.835886 + 0.548903i \(0.184954\pi\)
\(194\) 5.29382e6 + 1.92679e6i 0.725043 + 0.263894i
\(195\) 2.88162e7 1.04882e7i 3.88626 1.41448i
\(196\) 1.03290e7 8.66710e6i 1.37180 1.15108i
\(197\) −3.23204e6 5.59805e6i −0.422744 0.732214i 0.573463 0.819232i \(-0.305600\pi\)
−0.996207 + 0.0870173i \(0.972266\pi\)
\(198\) −9.74351e6 5.62542e6i −1.25522 0.724701i
\(199\) −1.49251e6 8.46442e6i −0.189390 1.07408i −0.920184 0.391485i \(-0.871961\pi\)
0.730794 0.682598i \(-0.239150\pi\)
\(200\) −1.21593e7 + 2.14402e6i −1.51992 + 0.268002i
\(201\) 3.04244e6 5.26966e6i 0.374657 0.648925i
\(202\) −1.09981e7 + 6.34973e6i −1.33433 + 0.770373i
\(203\) 451324. + 537867.i 0.0539511 + 0.0642964i
\(204\) −2.56671e6 7.05198e6i −0.302334 0.830655i
\(205\) −5.26155e6 + 1.44560e7i −0.610734 + 1.67798i
\(206\) 1.32893e7 + 1.11510e7i 1.52020 + 1.27560i
\(207\) −1.64939e6 + 9.35415e6i −0.185957 + 1.05461i
\(208\) 8.09455e6i 0.899504i
\(209\) 3.66335e6 + 36713.9i 0.401273 + 0.00402153i
\(210\) 6.79571e6 0.733799
\(211\) −6.10655e6 1.07675e6i −0.650053 0.114622i −0.161108 0.986937i \(-0.551507\pi\)
−0.488945 + 0.872315i \(0.662618\pi\)
\(212\) 1.94312e6 2.31572e6i 0.203935 0.243041i
\(213\) −1.47519e7 5.36925e6i −1.52654 0.555616i
\(214\) −1.61177e7 + 5.86637e6i −1.64461 + 0.598588i
\(215\) 1.23124e7 1.03314e7i 1.23888 1.03954i
\(216\) −1.45150e7 2.51407e7i −1.44031 2.49468i
\(217\) −866931. 500523.i −0.0848409 0.0489829i
\(218\) 3.10461e6 + 1.76071e7i 0.299666 + 1.69949i
\(219\) 1.48019e7 2.60997e6i 1.40924 0.248487i
\(220\) 5.68788e6 9.85170e6i 0.534174 0.925216i
\(221\) −4.08578e6 + 2.35893e6i −0.378528 + 0.218543i
\(222\) 7.19541e6 + 8.57516e6i 0.657653 + 0.783760i
\(223\) 1.72311e6 + 4.73422e6i 0.155382 + 0.426907i 0.992819 0.119626i \(-0.0381695\pi\)
−0.837438 + 0.546533i \(0.815947\pi\)
\(224\) 316955. 870827.i 0.0282003 0.0774797i
\(225\) −2.02614e7 1.70014e7i −1.77878 1.49258i
\(226\) 3.29270e6 1.86738e7i 0.285251 1.61774i
\(227\) 2.24475e7i 1.91907i 0.281587 + 0.959536i \(0.409139\pi\)
−0.281587 + 0.959536i \(0.590861\pi\)
\(228\) 3.33545e7 + 1.97055e7i 2.81417 + 1.66259i
\(229\) 2.07706e7 1.72959 0.864793 0.502129i \(-0.167450\pi\)
0.864793 + 0.502129i \(0.167450\pi\)
\(230\) −1.45869e7 2.57206e6i −1.19889 0.211396i
\(231\) −958298. + 1.14206e6i −0.0777436 + 0.0926512i
\(232\) 8.24487e6 + 3.00089e6i 0.660267 + 0.240318i
\(233\) −1.46477e7 + 5.33132e6i −1.15798 + 0.421470i −0.848375 0.529396i \(-0.822419\pi\)
−0.309604 + 0.950866i \(0.600197\pi\)
\(234\) −5.72959e7 + 4.80769e7i −4.47173 + 3.75223i
\(235\) 1.10621e7 + 1.91602e7i 0.852385 + 1.47637i
\(236\) −3.35691e6 1.93811e6i −0.255390 0.147450i
\(237\) −6.18296e6 3.50653e7i −0.464464 2.63410i
\(238\) −1.02963e6 + 181551.i −0.0763747 + 0.0134669i
\(239\) 3.76938e6 6.52876e6i 0.276106 0.478230i −0.694307 0.719679i \(-0.744289\pi\)
0.970414 + 0.241449i \(0.0776225\pi\)
\(240\) 1.70500e7 9.84384e6i 1.23336 0.712083i
\(241\) 1.49105e7 + 1.77697e7i 1.06523 + 1.26949i 0.961477 + 0.274885i \(0.0886398\pi\)
0.103750 + 0.994603i \(0.466916\pi\)
\(242\) −6.85823e6 1.88428e7i −0.483912 1.32954i
\(243\) 2.63963e6 7.25233e6i 0.183960 0.505427i
\(244\) 2.41915e7 + 2.02991e7i 1.66530 + 1.39736i
\(245\) −3.58011e6 + 2.03038e7i −0.243444 + 1.38064i
\(246\) 5.50412e7i 3.69728i
\(247\) 8.55878e6 2.28014e7i 0.567964 1.51311i
\(248\) −1.25093e7 −0.820118
\(249\) 1.34502e7 + 2.37163e6i 0.871223 + 0.153620i
\(250\) 2.05911e6 2.45395e6i 0.131783 0.157053i
\(251\) −1.73222e7 6.30475e6i −1.09542 0.398701i −0.269795 0.962918i \(-0.586956\pi\)
−0.825626 + 0.564217i \(0.809178\pi\)
\(252\) −1.00990e7 + 3.67573e6i −0.631068 + 0.229690i
\(253\) 2.48922e6 2.08870e6i 0.153710 0.128978i
\(254\) 2.43808e7 + 4.22288e7i 1.48781 + 2.57696i
\(255\) 9.93748e6 + 5.73741e6i 0.599316 + 0.346015i
\(256\) −5.00097e6 2.83619e7i −0.298081 1.69050i
\(257\) −2.36659e7 + 4.17294e6i −1.39420 + 0.245835i −0.819757 0.572711i \(-0.805892\pi\)
−0.574441 + 0.818546i \(0.694780\pi\)
\(258\) −2.87532e7 + 4.98019e7i −1.67427 + 2.89993i
\(259\) 875710. 505592.i 0.0504035 0.0291005i
\(260\) −4.86108e7 5.79321e7i −2.76575 3.29609i
\(261\) 6.42848e6 + 1.76621e7i 0.361565 + 0.993392i
\(262\) −4.13540e6 + 1.13619e7i −0.229939 + 0.631753i
\(263\) −1.00048e7 8.39500e6i −0.549971 0.461481i 0.324960 0.945728i \(-0.394649\pi\)
−0.874931 + 0.484247i \(0.839094\pi\)
\(264\) −3.23505e6 + 1.83469e7i −0.175820 + 0.997127i
\(265\) 4.62225e6i 0.248379i
\(266\) 3.51052e6 4.09953e6i 0.186521 0.217816i
\(267\) −2.43904e6 −0.128140
\(268\) −1.47781e7 2.60578e6i −0.767739 0.135373i
\(269\) 1.81222e7 2.15972e7i 0.931009 1.10953i −0.0627555 0.998029i \(-0.519989\pi\)
0.993764 0.111504i \(-0.0355667\pi\)
\(270\) 9.11272e7 + 3.31676e7i 4.62974 + 1.68509i
\(271\) 9.72164e6 3.53839e6i 0.488463 0.177786i −0.0860347 0.996292i \(-0.527420\pi\)
0.574498 + 0.818506i \(0.305197\pi\)
\(272\) −2.32029e6 + 1.94696e6i −0.115302 + 0.0967496i
\(273\) 4.95550e6 + 8.58318e6i 0.243557 + 0.421852i
\(274\) 5.27191e6 + 3.04374e6i 0.256281 + 0.147964i
\(275\) 1.57124e6 + 8.91094e6i 0.0755517 + 0.428475i
\(276\) 3.38396e7 5.96684e6i 1.60953 0.283803i
\(277\) −1.50557e7 + 2.60772e7i −0.708371 + 1.22693i 0.257090 + 0.966387i \(0.417236\pi\)
−0.965461 + 0.260547i \(0.916097\pi\)
\(278\) 5.24827e7 3.03009e7i 2.44277 1.41033i
\(279\) −1.72249e7 2.05279e7i −0.793130 0.945216i
\(280\) −2.62365e6 7.20842e6i −0.119518 0.328372i
\(281\) 6.84830e6 1.88155e7i 0.308648 0.848004i −0.684273 0.729226i \(-0.739880\pi\)
0.992921 0.118778i \(-0.0378976\pi\)
\(282\) −6.06386e7 5.08818e7i −2.70397 2.26890i
\(283\) 983810. 5.57946e6i 0.0434062 0.246169i −0.955383 0.295371i \(-0.904557\pi\)
0.998789 + 0.0492021i \(0.0156678\pi\)
\(284\) 3.87148e7i 1.69014i
\(285\) −5.84363e7 + 9.70112e6i −2.52434 + 0.419071i
\(286\) 2.55873e7 1.09377
\(287\) −4.89645e6 863376.i −0.207126 0.0365220i
\(288\) 1.59459e7 1.90036e7i 0.667532 0.795534i
\(289\) 2.10230e7 + 7.65174e6i 0.870965 + 0.317005i
\(290\) −2.75423e7 + 1.00246e7i −1.12929 + 0.411028i
\(291\) 1.53081e7 1.28450e7i 0.621216 0.521262i
\(292\) −1.85332e7 3.21004e7i −0.744392 1.28932i
\(293\) −1.84441e6 1.06487e6i −0.0733255 0.0423345i 0.462889 0.886416i \(-0.346813\pi\)
−0.536215 + 0.844082i \(0.680146\pi\)
\(294\) −1.28092e7 7.26447e7i −0.504058 2.85866i
\(295\) 5.83689e6 1.02920e6i 0.227361 0.0400898i
\(296\) 6.31797e6 1.09430e7i 0.243614 0.421952i
\(297\) −1.84243e7 + 1.06373e7i −0.703269 + 0.406033i
\(298\) 1.97792e7 + 2.35720e7i 0.747413 + 0.890732i
\(299\) −7.38831e6 2.02992e7i −0.276396 0.759391i
\(300\) −3.27257e7 + 8.99133e7i −1.21206 + 3.33012i
\(301\) 3.97934e6 + 3.33906e6i 0.145919 + 0.122441i
\(302\) −4.44028e6 + 2.51821e7i −0.161209 + 0.914262i
\(303\) 4.50474e7i 1.61935i
\(304\) 2.86937e6 1.53706e7i 0.102133 0.547104i
\(305\) −4.82869e7 −1.70188
\(306\) −2.75624e7 4.85999e6i −0.961949 0.169618i
\(307\) 1.13647e7 1.35439e7i 0.392773 0.468089i −0.533029 0.846097i \(-0.678946\pi\)
0.925802 + 0.378008i \(0.123391\pi\)
\(308\) 3.45489e6 + 1.25748e6i 0.118245 + 0.0430375i
\(309\) 5.78252e7 2.10467e7i 1.95994 0.713359i
\(310\) 3.20112e7 2.68606e7i 1.07452 0.901633i
\(311\) 5.41096e6 + 9.37206e6i 0.179884 + 0.311569i 0.941841 0.336060i \(-0.109094\pi\)
−0.761957 + 0.647628i \(0.775761\pi\)
\(312\) 1.07257e8 + 6.19249e7i 3.53152 + 2.03893i
\(313\) −4.14340e6 2.34984e7i −0.135121 0.766311i −0.974775 0.223189i \(-0.928353\pi\)
0.839654 0.543122i \(-0.182758\pi\)
\(314\) 394258. 69518.4i 0.0127348 0.00224549i
\(315\) 8.21642e6 1.42312e7i 0.262876 0.455314i
\(316\) −7.60452e7 + 4.39047e7i −2.40996 + 1.39139i
\(317\) −1.90942e7 2.27556e7i −0.599410 0.714349i 0.377975 0.925816i \(-0.376620\pi\)
−0.977385 + 0.211467i \(0.932176\pi\)
\(318\) −5.65628e6 1.55405e7i −0.175893 0.483263i
\(319\) 2.19920e6 6.04224e6i 0.0677473 0.186134i
\(320\) 4.98032e7 + 4.17898e7i 1.51987 + 1.27532i
\(321\) −1.05651e7 + 5.99174e7i −0.319416 + 1.81150i
\(322\) 4.78716e6i 0.143387i
\(323\) 8.59461e6 3.03099e6i 0.255046 0.0899450i
\(324\) −9.06412e7 −2.66496
\(325\) 5.92391e7 + 1.04454e7i 1.72567 + 0.304282i
\(326\) −7.01507e7 + 8.36023e7i −2.02479 + 2.41305i
\(327\) 5.95947e7 + 2.16907e7i 1.70437 + 0.620340i
\(328\) −5.83839e7 + 2.12500e7i −1.65452 + 0.602195i
\(329\) −5.47760e6 + 4.59626e6i −0.153817 + 0.129067i
\(330\) −3.11169e7 5.38961e7i −0.865874 1.49974i
\(331\) −1.43644e7 8.29331e6i −0.396100 0.228688i 0.288700 0.957420i \(-0.406777\pi\)
−0.684800 + 0.728731i \(0.740110\pi\)
\(332\) −5.84872e6 3.31698e7i −0.159826 0.906417i
\(333\) 2.66574e7 4.70041e6i 0.721912 0.127293i
\(334\) −1.29457e7 + 2.24226e7i −0.347444 + 0.601791i
\(335\) 1.98709e7 1.14725e7i 0.528547 0.305157i
\(336\) 4.09006e6 + 4.87434e6i 0.107823 + 0.128498i
\(337\) 1.20038e7 + 3.29802e7i 0.313639 + 0.861715i 0.991915 + 0.126908i \(0.0405053\pi\)
−0.678276 + 0.734807i \(0.737273\pi\)
\(338\) 3.59057e7 9.86500e7i 0.929850 2.55474i
\(339\) −5.15253e7 4.32348e7i −1.32258 1.10977i
\(340\) 4.91395e6 2.78684e7i 0.125024 0.709047i
\(341\) 9.16739e6i 0.231197i
\(342\) 1.25840e8 7.09821e7i 3.14588 1.77448i
\(343\) −1.35251e7 −0.335166
\(344\) 6.39273e7 + 1.12721e7i 1.57040 + 0.276904i
\(345\) −3.37724e7 + 4.02484e7i −0.822441 + 0.980147i
\(346\) −8.74554e7 3.18312e7i −2.11134 0.768466i
\(347\) −6.82633e7 + 2.48458e7i −1.63380 + 0.594655i −0.985939 0.167103i \(-0.946559\pi\)
−0.647861 + 0.761758i \(0.724336\pi\)
\(348\) 5.20873e7 4.37064e7i 1.23593 1.03707i
\(349\) −2.67355e7 4.63073e7i −0.628945 1.08936i −0.987764 0.155957i \(-0.950154\pi\)
0.358819 0.933407i \(-0.383180\pi\)
\(350\) 1.15444e7 + 6.66517e6i 0.269258 + 0.155456i
\(351\) 2.45593e7 + 1.39282e8i 0.567929 + 3.22088i
\(352\) −8.35775e6 + 1.47370e6i −0.191629 + 0.0337894i
\(353\) 3.32266e6 5.75501e6i 0.0755373 0.130835i −0.825782 0.563989i \(-0.809266\pi\)
0.901320 + 0.433154i \(0.142599\pi\)
\(354\) −1.83648e7 + 1.06029e7i −0.413977 + 0.239010i
\(355\) −3.80509e7 4.53473e7i −0.850511 1.01360i
\(356\) 2.05725e6 + 5.65224e6i 0.0455970 + 0.125277i
\(357\) −1.26843e6 + 3.48497e6i −0.0278779 + 0.0765939i
\(358\) 3.87561e7 + 3.25203e7i 0.844678 + 0.708769i
\(359\) 5.26012e6 2.98316e7i 0.113687 0.644753i −0.873704 0.486457i \(-0.838289\pi\)
0.987392 0.158296i \(-0.0505999\pi\)
\(360\) 2.05348e8i 4.40131i
\(361\) −2.43348e7 + 4.02633e7i −0.517256 + 0.855831i
\(362\) 1.18929e8 2.50705
\(363\) −7.00481e7 1.23514e7i −1.46446 0.258223i
\(364\) 1.57109e7 1.87235e7i 0.325759 0.388224i
\(365\) 5.32582e7 + 1.93844e7i 1.09524 + 0.398633i
\(366\) 1.62346e8 5.90891e7i 3.31130 1.20521i
\(367\) 6.37072e6 5.34567e6i 0.128882 0.108144i −0.576069 0.817401i \(-0.695414\pi\)
0.704950 + 0.709257i \(0.250969\pi\)
\(368\) −6.93438e6 1.20107e7i −0.139144 0.241004i
\(369\) −1.15265e8 6.65481e7i −2.29413 1.32451i
\(370\) 7.32982e6 + 4.15695e7i 0.144707 + 0.820672i
\(371\) −1.47120e6 + 259412.i −0.0288105 + 0.00508006i
\(372\) −4.84709e7 + 8.39541e7i −0.941570 + 1.63085i
\(373\) −3.51617e7 + 2.03006e7i −0.677553 + 0.391185i −0.798932 0.601421i \(-0.794602\pi\)
0.121380 + 0.992606i \(0.461268\pi\)
\(374\) 6.15444e6 + 7.33457e6i 0.117645 + 0.140204i
\(375\) −3.88641e6 1.06778e7i −0.0736978 0.202483i
\(376\) −3.05609e7 + 8.39653e7i −0.574913 + 1.57956i
\(377\) −3.27454e7 2.74767e7i −0.611120 0.512791i
\(378\) −5.44252e6 + 3.08660e7i −0.100768 + 0.571486i
\(379\) 1.82339e7i 0.334936i −0.985877 0.167468i \(-0.946441\pi\)
0.985877 0.167468i \(-0.0535591\pi\)
\(380\) 7.17703e7 + 1.27238e8i 1.30796 + 2.31881i
\(381\) 1.72967e8 3.12743
\(382\) 2.22331e7 + 3.92029e6i 0.398850 + 0.0703280i
\(383\) 4.62230e7 5.50864e7i 0.822738 0.980501i −0.177255 0.984165i \(-0.556722\pi\)
0.999993 + 0.00366357i \(0.00116615\pi\)
\(384\) −1.72851e8 6.29127e7i −3.05266 1.11108i
\(385\) −5.28268e6 + 1.92274e6i −0.0925704 + 0.0336929i
\(386\) −1.73583e7 + 1.45653e7i −0.301818 + 0.253255i
\(387\) 6.95285e7 + 1.20427e8i 1.19958 + 2.07774i
\(388\) −4.26789e7 2.46407e7i −0.730664 0.421849i
\(389\) 1.32257e7 + 7.50065e7i 0.224682 + 1.27424i 0.863292 + 0.504705i \(0.168399\pi\)
−0.638610 + 0.769531i \(0.720490\pi\)
\(390\) −4.07439e8 + 7.18425e7i −6.86861 + 1.21112i
\(391\) 4.04165e6 7.00034e6i 0.0676127 0.117109i
\(392\) −7.21111e7 + 4.16334e7i −1.19714 + 0.691167i
\(393\) 2.75688e7 + 3.28552e7i 0.454192 + 0.541285i
\(394\) 2.98277e7 + 8.19508e7i 0.487675 + 1.33988i
\(395\) 4.59212e7 1.26167e8i 0.745113 2.04718i
\(396\) 7.53942e7 + 6.32632e7i 1.21409 + 1.01875i
\(397\) 9.81926e6 5.56878e7i 0.156930 0.889997i −0.800069 0.599908i \(-0.795204\pi\)
0.957000 0.290089i \(-0.0936849\pi\)
\(398\) 1.15960e8i 1.83932i
\(399\) −6.36734e6 1.80551e7i −0.100240 0.284237i
\(400\) 3.86190e7 0.603422
\(401\) −9.42156e7 1.66128e7i −1.46113 0.257637i −0.614121 0.789212i \(-0.710489\pi\)
−0.847012 + 0.531574i \(0.821601\pi\)
\(402\) −5.27692e7 + 6.28879e7i −0.812274 + 0.968030i
\(403\) 5.72685e7 + 2.08440e7i 0.874986 + 0.318469i
\(404\) 1.04393e8 3.79959e7i 1.58317 0.576225i
\(405\) 1.06170e8 8.90868e7i 1.59821 1.34106i
\(406\) −4.73644e6 8.20375e6i −0.0707740 0.122584i
\(407\) −8.01959e6 4.63011e6i −0.118951 0.0686765i
\(408\) 8.04750e6 + 4.56396e7i 0.118490 + 0.671988i
\(409\) 7.93907e7 1.39987e7i 1.16038 0.204606i 0.439876 0.898058i \(-0.355022\pi\)
0.720503 + 0.693452i \(0.243911\pi\)
\(410\) 1.03775e8 1.79744e8i 1.50571 2.60797i
\(411\) 1.87005e7 1.07967e7i 0.269356 0.155513i
\(412\) −9.75470e7 1.16252e8i −1.39483 1.66230i
\(413\) 655162. + 1.80004e6i 0.00930034 + 0.0255525i
\(414\) 4.38294e7 1.20420e8i 0.617681 1.69707i
\(415\) 3.94516e7 + 3.31039e7i 0.551977 + 0.463164i
\(416\) −9.79699e6 + 5.55615e7i −0.136086 + 0.771781i
\(417\) 2.14966e8i 2.96457i
\(418\) −4.85873e7 9.07023e6i −0.665264 0.124191i
\(419\) −9.19806e7 −1.25042 −0.625208 0.780458i \(-0.714986\pi\)
−0.625208 + 0.780458i \(0.714986\pi\)
\(420\) −5.85444e7 1.03230e7i −0.790201 0.139334i
\(421\) −8.62320e6 + 1.02767e7i −0.115564 + 0.137724i −0.820725 0.571323i \(-0.806430\pi\)
0.705161 + 0.709047i \(0.250875\pi\)
\(422\) 7.86125e7 + 2.86126e7i 1.04605 + 0.380733i
\(423\) −1.79870e8 + 6.54673e7i −2.37650 + 0.864974i
\(424\) −1.43005e7 + 1.19996e7i −0.187609 + 0.157423i
\(425\) 1.12544e7 + 1.94932e7i 0.146607 + 0.253931i
\(426\) 1.83423e8 + 1.05899e8i 2.37260 + 1.36982i
\(427\) −2.70999e6 1.53691e7i −0.0348084 0.197408i
\(428\) 1.47764e8 2.60547e7i 1.88468 0.332319i
\(429\) 4.53816e7 7.86032e7i 0.574788 0.995562i
\(430\) −1.87794e8 + 1.08423e8i −2.36198 + 1.36369i
\(431\) 1.83792e7 + 2.19034e7i 0.229559 + 0.273578i 0.868512 0.495668i \(-0.165077\pi\)
−0.638953 + 0.769246i \(0.720632\pi\)
\(432\) 3.10557e7 + 8.53247e7i 0.385203 + 1.05834i
\(433\) −2.29311e7 + 6.30026e7i −0.282463 + 0.776059i 0.714605 + 0.699529i \(0.246607\pi\)
−0.997067 + 0.0765309i \(0.975616\pi\)
\(434\) 1.03459e7 + 8.68125e6i 0.126561 + 0.106197i
\(435\) −1.80538e7 + 1.02388e8i −0.219331 + 1.24389i
\(436\) 1.56400e8i 1.88702i
\(437\) 6.83384e6 + 4.11648e7i 0.0818880 + 0.493267i
\(438\) −2.02781e8 −2.41326
\(439\) 1.34452e8 + 2.37075e7i 1.58918 + 0.280215i 0.897174 0.441677i \(-0.145616\pi\)
0.692005 + 0.721892i \(0.256727\pi\)
\(440\) −4.51558e7 + 5.38146e7i −0.530097 + 0.631745i
\(441\) −1.67616e8 6.10073e7i −1.95434 0.711321i
\(442\) 5.98124e7 2.17699e7i 0.692667 0.252110i
\(443\) 4.76885e7 4.00154e7i 0.548532 0.460273i −0.325911 0.945400i \(-0.605671\pi\)
0.874444 + 0.485127i \(0.161227\pi\)
\(444\) −4.89618e7 8.48043e7i −0.559382 0.968878i
\(445\) −7.96500e6 4.59859e6i −0.0903869 0.0521849i
\(446\) −1.18030e7 6.69383e7i −0.133042 0.754519i
\(447\) 1.07492e8 1.89538e7i 1.20353 0.212214i
\(448\) −1.05061e7 + 1.81971e7i −0.116844 + 0.202380i
\(449\) −1.70389e6 + 983743.i −0.0188236 + 0.0108678i −0.509382 0.860540i \(-0.670126\pi\)
0.490559 + 0.871408i \(0.336793\pi\)
\(450\) 2.29374e8 + 2.73358e8i 2.51714 + 2.99981i
\(451\) 1.55730e7 + 4.27866e7i 0.169763 + 0.466421i
\(452\) −5.67326e7 + 1.55872e8i −0.614352 + 1.68792i
\(453\) 6.94830e7 + 5.83032e7i 0.747453 + 0.627188i
\(454\) 5.25896e7 2.98251e8i 0.561995 3.18723i
\(455\) 3.73726e7i 0.396752i
\(456\) −1.81717e8 1.55609e8i −1.91647 1.64112i
\(457\) −3.98098e7 −0.417101 −0.208551 0.978012i \(-0.566875\pi\)
−0.208551 + 0.978012i \(0.566875\pi\)
\(458\) −2.75969e8 4.86609e7i −2.87253 0.506504i
\(459\) −3.40179e7 + 4.05410e7i −0.351779 + 0.419234i
\(460\) 1.21757e8 + 4.43161e7i 1.25090 + 0.455290i
\(461\) −8.55059e7 + 3.11216e7i −0.872757 + 0.317658i −0.739283 0.673395i \(-0.764835\pi\)
−0.133474 + 0.991052i \(0.542613\pi\)
\(462\) 1.54081e7 1.29289e7i 0.156251 0.131110i
\(463\) 9.62191e6 + 1.66656e7i 0.0969434 + 0.167911i 0.910418 0.413690i \(-0.135760\pi\)
−0.813475 + 0.581600i \(0.802427\pi\)
\(464\) −2.37669e7 1.37218e7i −0.237913 0.137359i
\(465\) −2.57396e7 1.45977e8i −0.256002 1.45186i
\(466\) 2.07107e8 3.65186e7i 2.04662 0.360875i
\(467\) −5.72264e7 + 9.91190e7i −0.561883 + 0.973209i 0.435449 + 0.900213i \(0.356589\pi\)
−0.997332 + 0.0729963i \(0.976744\pi\)
\(468\) 5.66629e8 3.27144e8i 5.52792 3.19154i
\(469\) 4.76675e6 + 5.68079e6i 0.0462066 + 0.0550668i
\(470\) −1.02090e8 2.80489e8i −0.983305 2.70161i
\(471\) 485697. 1.33444e6i 0.00464839 0.0127714i
\(472\) 1.83370e7 + 1.53866e7i 0.174382 + 0.146324i
\(473\) 8.26075e6 4.68490e7i 0.0780613 0.442708i
\(474\) 4.80383e8i 4.51079i
\(475\) −1.08785e8 4.08338e7i −1.01505 0.381012i
\(476\) 9.14593e6 0.0848022
\(477\) −3.93829e7 6.94427e6i −0.362871 0.0639840i
\(478\) −6.53775e7 + 7.79139e7i −0.598611 + 0.713397i
\(479\) −2.35984e7 8.58912e6i −0.214722 0.0781524i 0.232420 0.972616i \(-0.425336\pi\)
−0.447141 + 0.894463i \(0.647558\pi\)
\(480\) 1.28947e8 4.69327e7i 1.16597 0.424377i
\(481\) −4.71585e7 + 3.95707e7i −0.423765 + 0.355581i
\(482\) −1.56479e8 2.71030e8i −1.39738 2.42034i
\(483\) −1.47059e7 8.49048e6i −0.130512 0.0753513i
\(484\) 3.04600e7 + 1.72747e8i 0.268654 + 1.52361i
\(485\) 7.42086e7 1.30850e7i 0.650472 0.114696i
\(486\) −5.20622e7 + 9.01744e7i −0.453538 + 0.785551i
\(487\) 4.27877e6 2.47035e6i 0.0370452 0.0213881i −0.481363 0.876521i \(-0.659858\pi\)
0.518408 + 0.855133i \(0.326525\pi\)
\(488\) −1.25355e8 1.49392e8i −1.07866 1.28549i
\(489\) 1.32404e8 + 3.63776e8i 1.13233 + 3.11106i
\(490\) 9.51347e7 2.61381e8i 0.808632 2.22170i
\(491\) −1.72102e7 1.44411e7i −0.145393 0.121999i 0.567190 0.823587i \(-0.308030\pi\)
−0.712583 + 0.701588i \(0.752475\pi\)
\(492\) −8.36098e7 + 4.74175e8i −0.702040 + 3.98147i
\(493\) 1.59953e7i 0.133491i
\(494\) −1.67135e8 + 2.82901e8i −1.38640 + 2.34668i
\(495\) −1.50489e8 −1.24076
\(496\) 3.85324e7 + 6.79430e6i 0.315777 + 0.0556801i
\(497\) 1.22979e7 1.46561e7i 0.100176 0.119385i
\(498\) −1.73150e8 6.30215e7i −1.40196 0.510271i
\(499\) −2.67778e7 + 9.74631e6i −0.215513 + 0.0784402i −0.447520 0.894274i \(-0.647693\pi\)
0.232008 + 0.972714i \(0.425471\pi\)
\(500\) −2.14667e7 + 1.80127e7i −0.171734 + 0.144102i
\(501\) 4.59208e7 + 7.95371e7i 0.365171 + 0.632494i
\(502\) 2.15381e8 + 1.24350e8i 1.70254 + 0.982961i
\(503\) −6.18135e6 3.50562e7i −0.0485712 0.275461i 0.950843 0.309672i \(-0.100219\pi\)
−0.999415 + 0.0342110i \(0.989108\pi\)
\(504\) 6.53595e7 1.15246e7i 0.510525 0.0900194i
\(505\) −8.49327e7 + 1.47108e8i −0.659479 + 1.14225i
\(506\) −3.79665e7 + 2.19200e7i −0.293055 + 0.169195i
\(507\) −2.39366e8 2.85266e8i −1.83670 2.18890i
\(508\) −1.45891e8 4.00832e8i −1.11285 3.05754i
\(509\) −7.75699e7 + 2.13122e8i −0.588220 + 1.61612i 0.185536 + 0.982638i \(0.440598\pi\)
−0.773756 + 0.633484i \(0.781624\pi\)
\(510\) −1.18593e8 9.95117e7i −0.894026 0.750177i
\(511\) −3.18081e6 + 1.80393e7i −0.0238383 + 0.135194i
\(512\) 1.42556e8i 1.06212i
\(513\) 2.73786e6 2.73187e8i 0.0202796 2.02352i
\(514\) 3.24215e8 2.38750
\(515\) 2.28517e8 + 4.02937e7i 1.67300 + 0.294996i
\(516\) 3.23357e8 3.85362e8i 2.35360 2.80491i
\(517\) 6.15339e7 + 2.23965e7i 0.445290 + 0.162072i
\(518\) −1.28197e7 + 4.66598e6i −0.0922332 + 0.0335701i
\(519\) −2.52894e8 + 2.12204e8i −1.80899 + 1.51793i
\(520\) 2.33507e8 + 4.04446e8i 1.66070 + 2.87641i
\(521\) 1.81769e8 + 1.04944e8i 1.28531 + 0.742072i 0.977813 0.209478i \(-0.0671765\pi\)
0.307493 + 0.951550i \(0.400510\pi\)
\(522\) −4.40340e7 2.49729e8i −0.309582 1.75573i
\(523\) −1.16557e8 + 2.05522e7i −0.814769 + 0.143666i −0.565478 0.824763i \(-0.691308\pi\)
−0.249290 + 0.968429i \(0.580197\pi\)
\(524\) 5.28853e7 9.15999e7i 0.367571 0.636651i
\(525\) 4.09502e7 2.36426e7i 0.282995 0.163387i
\(526\) 1.13261e8 + 1.34980e8i 0.778260 + 0.927494i
\(527\) 7.79969e6 + 2.14295e7i 0.0532900 + 0.146413i
\(528\) 1.99299e7 5.47570e7i 0.135395 0.371996i
\(529\) −8.50496e7 7.13650e7i −0.574520 0.482079i
\(530\) 1.08289e7 6.14137e7i 0.0727372 0.412513i
\(531\) 5.12782e7i 0.342491i
\(532\) −3.64702e7 + 2.99845e7i −0.242216 + 0.199141i
\(533\) 3.02696e8 1.99905
\(534\) 3.24065e7 + 5.71414e6i 0.212818 + 0.0375256i
\(535\) −1.47470e8 + 1.75748e8i −0.963037 + 1.14770i
\(536\) 8.70799e7 + 3.16945e7i 0.565488 + 0.205821i
\(537\) 1.68638e8 6.13794e7i 1.08901 0.396369i
\(538\) −2.91379e8 + 2.44496e8i −1.87116 + 1.57009i
\(539\) 3.05110e7 + 5.28465e7i 0.194845 + 0.337482i
\(540\) −7.34669e8 4.24161e8i −4.66563 2.69370i
\(541\) −3.20517e7 1.81774e8i −0.202423 1.14800i −0.901444 0.432895i \(-0.857492\pi\)
0.699022 0.715100i \(-0.253619\pi\)
\(542\) −1.37457e8 + 2.42373e7i −0.863313 + 0.152225i
\(543\) 2.10932e8 3.65345e8i 1.31748 2.28194i
\(544\) −1.82831e7 + 1.05557e7i −0.113567 + 0.0655679i
\(545\) 1.53718e8 + 1.83194e8i 0.949587 + 1.13167i
\(546\) −4.57331e7 1.25651e8i −0.280965 0.771945i
\(547\) 2.45057e7 6.73288e7i 0.149729 0.411376i −0.842041 0.539414i \(-0.818646\pi\)
0.991769 + 0.128038i \(0.0408680\pi\)
\(548\) −4.07934e7 3.42298e7i −0.247884 0.207999i
\(549\) 7.25443e7 4.11419e8i 0.438416 2.48638i
\(550\) 1.22077e8i 0.733745i
\(551\) 5.24398e7 + 6.37826e7i 0.313477 + 0.381283i
\(552\) −2.12197e8 −1.26160
\(553\) 4.27347e7 + 7.53528e6i 0.252700 + 0.0445578i
\(554\) 2.61131e8 3.11204e8i 1.53578 1.83027i
\(555\) 1.40700e8 + 5.12105e7i 0.823028 + 0.299558i
\(556\) −4.98162e8 + 1.81316e8i −2.89832 + 1.05490i
\(557\) 1.55939e8 1.30849e8i 0.902381 0.757188i −0.0682729 0.997667i \(-0.521749\pi\)
0.970654 + 0.240479i \(0.0773044\pi\)
\(558\) 1.80768e8 + 3.13099e8i 1.04044 + 1.80210i
\(559\) −2.73883e8 1.58126e8i −1.56794 0.905249i
\(560\) 4.16646e6 + 2.36292e7i 0.0237248 + 0.134550i
\(561\) 3.34469e7 5.89760e6i 0.189438 0.0334031i
\(562\) −1.35071e8 + 2.33950e8i −0.760945 + 1.31799i
\(563\) 2.18410e7 1.26099e7i 0.122391 0.0706622i −0.437555 0.899192i \(-0.644155\pi\)
0.559945 + 0.828530i \(0.310822\pi\)
\(564\) 4.45104e8 + 5.30454e8i 2.48099 + 2.95672i
\(565\) −8.67467e7 2.38335e8i −0.480959 1.32142i
\(566\) −2.61429e7 + 7.18270e7i −0.144180 + 0.396131i
\(567\) 3.43137e7 + 2.87926e7i 0.188243 + 0.157954i
\(568\) 4.15157e7 2.35447e8i 0.226552 1.28484i
\(569\) 2.47998e8i 1.34620i −0.739550 0.673102i \(-0.764962\pi\)
0.739550 0.673102i \(-0.235038\pi\)
\(570\) 7.99145e8 + 8.00899e6i 4.31520 + 0.0432467i
\(571\) −4.09854e7 −0.220151 −0.110075 0.993923i \(-0.535109\pi\)
−0.110075 + 0.993923i \(0.535109\pi\)
\(572\) −2.20433e8 3.88682e7i −1.17784 0.207686i
\(573\) 5.14754e7 6.13460e7i 0.273613 0.326079i
\(574\) 6.30342e7 + 2.29426e7i 0.333304 + 0.121313i
\(575\) −9.68472e7 + 3.52495e7i −0.509429 + 0.185417i
\(576\) −4.30884e8 + 3.61555e8i −2.25472 + 1.89194i
\(577\) −6.13823e7 1.06317e8i −0.319533 0.553447i 0.660858 0.750511i \(-0.270193\pi\)
−0.980391 + 0.197064i \(0.936859\pi\)
\(578\) −2.61397e8 1.50917e8i −1.35368 0.781548i
\(579\) 1.39575e7 + 7.91569e7i 0.0719072 + 0.407806i
\(580\) 2.52502e8 4.45229e7i 1.29414 0.228191i
\(581\) −8.32240e6 + 1.44148e7i −0.0424346 + 0.0734989i
\(582\) −2.33485e8 + 1.34803e8i −1.18438 + 0.683801i
\(583\) 8.79387e6 + 1.04801e7i 0.0443787 + 0.0528884i
\(584\) 7.82883e7 + 2.15095e8i 0.393060 + 1.07992i
\(585\) −3.42169e8 + 9.40101e8i −1.70912 + 4.69577i
\(586\) 2.20111e7 + 1.84695e7i 0.109383 + 0.0917832i
\(587\) −4.30299e7 + 2.44034e8i −0.212743 + 1.20653i 0.672037 + 0.740518i \(0.265420\pi\)
−0.884780 + 0.466009i \(0.845692\pi\)
\(588\) 6.45285e8i 3.17409i
\(589\) −1.01357e8 5.98810e7i −0.496032 0.293051i
\(590\) −7.99633e7 −0.389345
\(591\) 3.04651e8 + 5.37183e7i 1.47584 + 0.260231i
\(592\) −2.54049e7 + 3.02764e7i −0.122448 + 0.145928i
\(593\) −2.79761e8 1.01825e8i −1.34160 0.488302i −0.431283 0.902217i \(-0.641939\pi\)
−0.910316 + 0.413915i \(0.864161\pi\)
\(594\) 2.69716e8 9.81687e7i 1.28691 0.468397i
\(595\) −1.07128e7 + 8.98909e6i −0.0508571 + 0.0426742i
\(596\) −1.34589e8 2.33116e8i −0.635729 1.10112i
\(597\) 3.56223e8 + 2.05665e8i 1.67417 + 0.966580i
\(598\) 5.06086e7 + 2.87016e8i 0.236658 + 1.34215i
\(599\) −3.14079e8 + 5.53806e7i −1.46136 + 0.257678i −0.847104 0.531427i \(-0.821656\pi\)
−0.614259 + 0.789105i \(0.710545\pi\)
\(600\) 2.95443e8 5.11722e8i 1.36779 2.36908i
\(601\) 1.03357e8 5.96731e7i 0.476120 0.274888i −0.242678 0.970107i \(-0.578026\pi\)
0.718798 + 0.695219i \(0.244693\pi\)
\(602\) −4.50491e7 5.36874e7i −0.206489 0.246084i
\(603\) 6.78957e7 + 1.86542e8i 0.309664 + 0.850794i
\(604\) 7.65052e7 2.10196e8i 0.347200 0.953925i
\(605\) −2.05463e8 1.72404e8i −0.927828 0.778541i
\(606\) 1.05536e8 5.98525e8i 0.474224 2.68946i
\(607\) 4.13597e8i 1.84932i −0.380797 0.924659i \(-0.624350\pi\)
0.380797 0.924659i \(-0.375650\pi\)
\(608\) 3.82988e7 1.02032e8i 0.170402 0.453968i
\(609\) −3.36021e7 −0.148770
\(610\) 6.41567e8 + 1.13126e8i 2.82652 + 0.498392i
\(611\) 2.79821e8 3.33478e8i 1.22675 1.46199i
\(612\) 2.30065e8 + 8.37367e7i 1.00368 + 0.365310i
\(613\) −2.70246e8 + 9.83614e7i −1.17321 + 0.427015i −0.853801 0.520600i \(-0.825708\pi\)
−0.319414 + 0.947615i \(0.603486\pi\)
\(614\) −1.82728e8 + 1.53327e8i −0.789405 + 0.662389i
\(615\) −3.68110e8 6.37585e8i −1.58253 2.74102i
\(616\) −1.96627e7 1.13523e7i −0.0841205 0.0485670i
\(617\) 5.80962e7 + 3.29480e8i 0.247339 + 1.40273i 0.814998 + 0.579464i \(0.196738\pi\)
−0.567660 + 0.823263i \(0.692151\pi\)
\(618\) −8.17606e8 + 1.44166e8i −3.46401 + 0.610798i
\(619\) −2.18156e7 + 3.77857e7i −0.0919802 + 0.159314i −0.908344 0.418223i \(-0.862653\pi\)
0.816364 + 0.577538i \(0.195986\pi\)
\(620\) −3.16575e8 + 1.82775e8i −1.32832 + 0.766905i
\(621\) −1.55760e8 1.85628e8i −0.650402 0.775119i
\(622\) −4.99364e7 1.37199e8i −0.207513 0.570138i
\(623\) 1.01666e6 2.79324e6i 0.00420446 0.0115517i
\(624\) −2.96751e8 2.49004e8i −1.22135 1.02483i
\(625\) −3.85240e7 + 2.18481e8i −0.157794 + 0.894896i
\(626\) 3.21920e8i 1.31227i
\(627\) −1.14038e8 + 1.33171e8i −0.462642 + 0.540266i
\(628\) −3.50210e6 −0.0141400
\(629\) −2.26857e7 4.00011e6i −0.0911593 0.0160739i
\(630\) −1.42509e8 + 1.69835e8i −0.569927 + 0.679213i
\(631\) 4.46730e6 + 1.62596e6i 0.0177810 + 0.00647176i 0.350895 0.936415i \(-0.385877\pi\)
−0.333114 + 0.942886i \(0.608100\pi\)
\(632\) 5.09557e8 1.85463e8i 2.01856 0.734695i
\(633\) 2.27323e8 1.90747e8i 0.896257 0.752049i
\(634\) 2.00385e8 + 3.47077e8i 0.786317 + 1.36194i
\(635\) 5.64843e8 + 3.26112e8i 2.20601 + 1.27364i
\(636\) 2.51217e7 + 1.42472e8i 0.0976510 + 0.553807i
\(637\) 3.99505e8 7.04434e7i 1.54562 0.272535i
\(638\) −4.33754e7 + 7.51284e7i −0.167025 + 0.289296i
\(639\) 4.43538e8 2.56077e8i 1.69992 0.981450i
\(640\) −4.45851e8 5.31344e8i −1.70079 2.02692i
\(641\) −1.43768e8 3.94999e8i −0.545868 1.49976i −0.839240 0.543761i \(-0.817000\pi\)
0.293373 0.955998i \(-0.405222\pi\)
\(642\) 2.80747e8 7.71345e8i 1.06099 2.91503i
\(643\) 3.03863e8 + 2.54971e8i 1.14300 + 0.959088i 0.999533 0.0305679i \(-0.00973158\pi\)
0.143464 + 0.989656i \(0.454176\pi\)
\(644\) −7.27189e6 + 4.12409e7i −0.0272264 + 0.154408i
\(645\) 7.69193e8i 2.86653i
\(646\) −1.21294e8 + 2.01362e7i −0.449926 + 0.0746929i
\(647\) −4.28383e7 −0.158168 −0.0790841 0.996868i \(-0.525200\pi\)
−0.0790841 + 0.996868i \(0.525200\pi\)
\(648\) 5.51242e8 + 9.71989e7i 2.02590 + 0.357220i
\(649\) 1.12760e7 1.34383e7i 0.0412499 0.0491597i
\(650\) −7.62612e8 2.77568e8i −2.77692 1.01072i
\(651\) 4.50179e7 1.63852e7i 0.163171 0.0593893i
\(652\) 7.31337e8 6.13665e8i 2.63861 2.21405i
\(653\) −1.27564e8 2.20948e8i −0.458131 0.793507i 0.540731 0.841196i \(-0.318148\pi\)
−0.998862 + 0.0476889i \(0.984814\pi\)
\(654\) −7.40992e8 4.27812e8i −2.64899 1.52939i
\(655\) 2.80838e7 + 1.59271e8i 0.0999381 + 0.566777i
\(656\) 1.91382e8 3.37459e7i 0.677938 0.119539i
\(657\) −2.45174e8 + 4.24653e8i −0.864525 + 1.49740i
\(658\) 8.35465e7 4.82356e7i 0.293259 0.169313i
\(659\) 1.15730e8 + 1.37922e8i 0.404382 + 0.481923i 0.929351 0.369198i \(-0.120368\pi\)
−0.524969 + 0.851121i \(0.675923\pi\)
\(660\) 1.86199e8 + 5.11578e8i 0.647658 + 1.77943i
\(661\) −4.44380e7 + 1.22092e8i −0.153869 + 0.422750i −0.992545 0.121880i \(-0.961108\pi\)
0.838676 + 0.544630i \(0.183330\pi\)
\(662\) 1.71424e8 + 1.43842e8i 0.590879 + 0.495807i
\(663\) 3.92067e7 2.22352e8i 0.134530 0.762958i
\(664\) 2.07997e8i 0.710480i
\(665\) 1.32479e7 7.09661e7i 0.0450486 0.241316i
\(666\) −3.65197e8 −1.23624
\(667\) 7.21262e7 + 1.27178e7i 0.243061 + 0.0428582i
\(668\) 1.45587e8 1.73503e8i 0.488418 0.582074i
\(669\) −2.26565e8 8.24630e7i −0.756685 0.275411i
\(670\) −2.90893e8 + 1.05877e8i −0.967185 + 0.352027i
\(671\) −1.09482e8 + 9.18663e7i −0.362389 + 0.304081i
\(672\) 2.21749e7 + 3.84080e7i 0.0730725 + 0.126565i
\(673\) −2.52524e8 1.45795e8i −0.828432 0.478296i 0.0248833 0.999690i \(-0.492079\pi\)
−0.853316 + 0.521395i \(0.825412\pi\)
\(674\) −8.22241e7 4.66316e8i −0.268546 1.52300i
\(675\) 6.64514e8 1.17172e8i 2.16069 0.380989i
\(676\) −4.59177e8 + 7.95318e8i −1.48642 + 2.57455i
\(677\) −3.07042e8 + 1.77271e8i −0.989535 + 0.571309i −0.905135 0.425123i \(-0.860231\pi\)
−0.0844000 + 0.996432i \(0.526897\pi\)
\(678\) 5.83304e8 + 6.95154e8i 1.87157 + 2.23045i
\(679\) 8.32955e6 + 2.28853e7i 0.0266080 + 0.0731049i
\(680\) −5.97692e7 + 1.64215e8i −0.190086 + 0.522258i
\(681\) −8.22940e8 6.90528e8i −2.60571 2.18645i
\(682\) 2.14772e7 1.21803e8i 0.0677055 0.383977i
\(683\) 2.24322e8i 0.704060i 0.935989 + 0.352030i \(0.114509\pi\)
−0.935989 + 0.352030i \(0.885491\pi\)
\(684\) −1.19193e9 + 4.20348e8i −3.72462 + 1.31353i
\(685\) 8.14248e7 0.253329
\(686\) 1.79703e8 + 3.16864e7i 0.556650 + 0.0981524i
\(687\) −6.38942e8 + 7.61461e8i −1.97057 + 2.34843i
\(688\) −1.90794e8 6.94432e7i −0.585866 0.213238i
\(689\) 8.54639e7 3.11063e7i 0.261291 0.0951023i
\(690\) 5.43012e8 4.55641e8i 1.65296 1.38700i
\(691\) 3.45305e7 + 5.98086e7i 0.104657 + 0.181271i 0.913598 0.406618i \(-0.133292\pi\)
−0.808941 + 0.587890i \(0.799959\pi\)
\(692\) 7.05068e8 + 4.07071e8i 2.12771 + 1.22843i
\(693\) −8.44582e6 4.78986e7i −0.0253771 0.143921i
\(694\) 9.65193e8 1.70190e8i 2.88759 0.509160i
\(695\) 4.05299e8 7.01998e8i 1.20732 2.09113i
\(696\) −3.63642e8 + 2.09949e8i −1.07856 + 0.622710i
\(697\) 7.28063e7 + 8.67672e7i 0.215016 + 0.256246i
\(698\) 2.46735e8 + 6.77900e8i 0.725547 + 1.99342i
\(699\) 2.55141e8 7.00993e8i 0.747048 2.05250i
\(700\) −8.93294e7 7.49563e7i −0.260436 0.218531i
\(701\) −1.77061e7 + 1.00416e8i −0.0514007 + 0.291508i −0.999662 0.0259817i \(-0.991729\pi\)
0.948262 + 0.317490i \(0.102840\pi\)
\(702\) 1.90812e9i 5.51562i
\(703\) 1.03576e8 5.84233e7i 0.298120 0.168159i
\(704\) 1.92425e8 0.551498
\(705\) −1.04272e9 1.83859e8i −2.97576 0.524708i
\(706\) −5.76294e7 + 6.86801e7i −0.163768 + 0.195172i
\(707\) −5.15891e7 1.87769e7i −0.145982 0.0531332i
\(708\) 1.74317e8 6.34463e7i 0.491180 0.178775i
\(709\) 5.54987e7 4.65690e7i 0.155720 0.130665i −0.561599 0.827410i \(-0.689814\pi\)
0.717319 + 0.696745i \(0.245369\pi\)
\(710\) 3.99327e8 + 6.91654e8i 1.11572 + 1.93248i
\(711\) 1.00599e9 + 5.80811e8i 2.79890 + 1.61594i
\(712\) −6.45016e6 3.65806e7i −0.0178702 0.101347i
\(713\) −1.02832e8 + 1.81320e7i −0.283699 + 0.0500238i
\(714\) 2.50175e7 4.33316e7i 0.0687305 0.119045i
\(715\) 2.96398e8 1.71125e8i 0.810881 0.468162i
\(716\) −2.84481e8 3.39031e8i −0.775022 0.923635i
\(717\) 1.23395e8 + 3.39024e8i 0.334764 + 0.919758i
\(718\) −1.39778e8 + 3.84036e8i −0.377628 + 1.03752i
\(719\) 3.73421e8 + 3.13338e8i 1.00464 + 0.842997i 0.987621 0.156859i \(-0.0501367\pi\)
0.0170231 + 0.999855i \(0.494581\pi\)
\(720\) −1.11533e8 + 6.32535e8i −0.298817 + 1.69468i
\(721\) 7.49954e7i 0.200091i
\(722\) 4.17653e8 4.77950e8i 1.10970 1.26990i
\(723\) −1.11012e9 −2.93735
\(724\) −1.02456e9 1.80658e8i −2.69975 0.476038i
\(725\) −1.31091e8 + 1.56228e8i −0.344000 + 0.409963i
\(726\) 9.01761e8 + 3.28214e8i 2.35658 + 0.857724i
\(727\) −3.86026e8 + 1.40502e8i −1.00465 + 0.365661i −0.791374 0.611332i \(-0.790634\pi\)
−0.213272 + 0.976993i \(0.568412\pi\)
\(728\) −1.15625e8 + 9.70209e7i −0.299680 + 0.251461i
\(729\) −9.52642e7 1.65002e8i −0.245894 0.425900i
\(730\) −6.62204e8 3.82324e8i −1.70225 0.982795i
\(731\) −2.05494e7 1.16542e8i −0.0526075 0.298352i
\(732\) −1.48835e9 + 2.62437e8i −3.79466 + 0.669101i
\(733\) 2.18126e8 3.77805e8i 0.553854 0.959304i −0.444137 0.895959i \(-0.646490\pi\)
0.997992 0.0633450i \(-0.0201768\pi\)
\(734\) −9.71687e7 + 5.61004e7i −0.245719 + 0.141866i
\(735\) −6.34219e8 7.55833e8i −1.59727 1.90355i
\(736\) −3.30612e7 9.08349e7i −0.0829250 0.227834i
\(737\) 2.32273e7 6.38164e7i 0.0580224 0.159415i
\(738\) 1.37556e9 + 1.15423e9i 3.42225 + 2.87161i
\(739\) 1.95693e7 1.10983e8i 0.0484889 0.274994i −0.950918 0.309444i \(-0.899857\pi\)
0.999406 + 0.0344503i \(0.0109680\pi\)
\(740\) 3.69252e8i 0.911228i
\(741\) 5.72630e8 + 1.01518e9i 1.40741 + 2.49511i
\(742\) 2.01549e7 0.0493367
\(743\) 3.32446e8 + 5.86193e7i 0.810504 + 0.142914i 0.563516 0.826105i \(-0.309448\pi\)
0.246988 + 0.969019i \(0.420559\pi\)
\(744\) 3.84808e8 4.58596e8i 0.934384 1.11356i
\(745\) 3.86765e8 + 1.40771e8i 0.935359 + 0.340443i
\(746\) 5.14738e8 1.87349e8i 1.23985 0.451269i
\(747\) −3.41325e8 + 2.86406e8i −0.818854 + 0.687100i
\(748\) −4.18784e7 7.25355e7i −0.100066 0.173319i
\(749\) −6.42148e7 3.70744e7i −0.152823 0.0882326i
\(750\) 2.66212e7 + 1.50976e8i 0.0631022 + 0.357870i
\(751\) −6.57223e8 + 1.15886e8i −1.55165 + 0.273597i −0.882781 0.469785i \(-0.844331\pi\)
−0.668867 + 0.743382i \(0.733220\pi\)
\(752\) 1.39742e8 2.42040e8i 0.328605 0.569160i
\(753\) 7.63998e8 4.41095e8i 1.78940 1.03311i
\(754\) 3.70702e8 + 4.41786e8i 0.864791 + 1.03062i
\(755\) 1.16980e8 + 3.21400e8i 0.271813 + 0.746801i
\(756\) 9.37736e7 2.57641e8i 0.217028 0.596278i
\(757\) 5.57272e8 + 4.67607e8i 1.28464 + 1.07794i 0.992587 + 0.121533i \(0.0387812\pi\)
0.292048 + 0.956404i \(0.405663\pi\)
\(758\) −4.27180e7 + 2.42266e8i −0.0980852 + 0.556269i
\(759\) 1.55508e8i 0.355655i
\(760\) −3.00034e8 8.50770e8i −0.683486 1.93808i
\(761\) −1.71747e8 −0.389705 −0.194853 0.980833i \(-0.562423\pi\)
−0.194853 + 0.980833i \(0.562423\pi\)
\(762\) −2.29813e9 4.05222e8i −5.19409 0.915858i
\(763\) −4.96812e7 + 5.92077e7i −0.111845 + 0.133292i
\(764\) −1.85581e8 6.75459e7i −0.416153 0.151467i