Properties

Label 19.7.f.a.10.2
Level $19$
Weight $7$
Character 19.10
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 10.2
Character \(\chi\) \(=\) 19.10
Dual form 19.7.f.a.2.2

$q$-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 \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\)

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 −0.923758 0.382978i \(-0.874899\pi\)
−0.737062 + 0.675825i \(0.763788\pi\)
\(3\) −30.7619 36.6606i −1.13933 1.35780i −0.924516 0.381144i \(-0.875530\pi\)
−0.214813 0.976655i \(-0.568914\pi\)
\(4\) 110.904 40.3656i 1.73287 0.630713i
\(5\) −169.577 61.7209i −1.35661 0.493767i −0.441608 0.897208i \(-0.645592\pi\)
−0.915006 + 0.403441i \(0.867814\pi\)
\(6\) 494.607 + 415.025i 2.28985 + 1.92141i
\(7\) −29.1620 + 50.5101i −0.0850205 + 0.147260i −0.905400 0.424560i \(-0.860429\pi\)
0.820379 + 0.571820i \(0.193762\pi\)
\(8\) −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 0.748090 0.663597i \(-0.230971\pi\)
−0.948737 + 0.316067i \(0.897638\pi\)
\(12\) −4891.43 2824.07i −2.83069 1.63430i
\(13\) 2282.40 2720.06i 1.03887 1.23808i 0.0681993 0.997672i \(-0.478275\pi\)
0.970672 0.240407i \(-0.0772809\pi\)
\(14\) 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 0.952282 0.305220i \(-0.0987299\pi\)
−0.999244 + 0.0388869i \(0.987619\pi\)
\(18\) 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 −0.566090 0.824343i \(-0.691545\pi\)
0.0962274 + 0.995359i \(0.469322\pi\)
\(24\) 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 −0.0747759 0.997200i \(-0.523824\pi\)
−0.411329 + 0.911487i \(0.634935\pi\)
\(30\) −58258.2 100906.i −2.15771 3.73726i
\(31\) 14864.0 + 8581.75i 0.498944 + 0.288065i 0.728277 0.685283i \(-0.240321\pi\)
−0.229334 + 0.973348i \(0.573655\pi\)
\(32\) 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 \(-0.945256\pi\)
0.985247 0.171138i \(-0.0547444\pi\)
\(38\) 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 0.999508 0.0313659i \(-0.00998573\pi\)
−0.204452 + 0.978877i \(0.565541\pi\)
\(42\) −35386.7 + 12879.7i −0.477631 + 0.173843i
\(43\) −83694.2 30462.2i −1.05266 0.383138i −0.242996 0.970027i \(-0.578130\pi\)
−0.809668 + 0.586889i \(0.800353\pi\)
\(44\) −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 0.692304 + 0.721606i \(0.256596\pi\)
−0.897357 + 0.441306i \(0.854516\pi\)
\(48\) −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 0.965631 0.259917i \(-0.0836952\pi\)
−0.906788 + 0.421588i \(0.861473\pi\)
\(54\) −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 −0.251836 0.967770i \(-0.581034\pi\)
0.0943487 + 0.995539i \(0.469923\pi\)
\(60\) 655169. + 780800.i 3.03319 + 3.61482i
\(61\) 251440. 91516.8i 1.10776 0.403191i 0.277588 0.960700i \(-0.410465\pi\)
0.830171 + 0.557509i \(0.188243\pi\)
\(62\) −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 −0.0384385 0.999261i \(-0.512238\pi\)
−0.377888 + 0.925851i \(0.623349\pi\)
\(68\) −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 −0.678482 0.734617i \(-0.737362\pi\)
0.991950 0.126630i \(-0.0404160\pi\)
\(72\) −389189. 1.06929e6i −1.04271 2.86482i
\(73\) −240588. + 201877.i −0.618451 + 0.518942i −0.897316 0.441388i \(-0.854486\pi\)
0.278865 + 0.960330i \(0.410042\pi\)
\(74\) 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 −0.987734 0.156147i \(-0.950093\pi\)
0.0177438 0.999843i \(-0.494352\pi\)
\(80\) −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 −0.963402 0.268059i \(-0.913618\pi\)
0.713847 + 0.700301i \(0.246951\pi\)
\(84\) 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 −0.742309 0.670058i \(-0.766269\pi\)
0.788779 + 0.614677i \(0.210714\pi\)
\(90\) −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 −0.394327 0.918970i \(-0.629022\pi\)
−0.0562394 + 0.998417i \(0.517911\pi\)
\(98\) −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 0.921735 0.387820i \(-0.126772\pi\)
−0.221870 + 0.975076i \(0.571216\pi\)
\(102\) 428940. 742945.i 0.404199 0.700094i
\(103\) −1.11357e6 + 642919.i −1.01907 + 0.588362i −0.913835 0.406085i \(-0.866894\pi\)
−0.105238 + 0.994447i \(0.533560\pi\)
\(104\) −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 0.876792 0.480869i \(-0.159679\pi\)
0.0219511 + 0.999759i \(0.493012\pi\)
\(108\) 3.02168e6 3.60110e6i 2.39871 2.85867i
\(109\) −453240. + 1.24527e6i −0.349984 + 0.961574i 0.632390 + 0.774650i \(0.282074\pi\)
−0.982374 + 0.186924i \(0.940148\pi\)
\(110\) −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 \(-0.838080\pi\)
0.873385 0.487030i \(-0.161920\pi\)
\(114\) −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 −0.206392 + 0.978469i \(0.566172\pi\)
−0.927765 + 0.373166i \(0.878272\pi\)
\(128\) 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 0.999658 + 0.0261326i \(0.00831921\pi\)
−0.930434 + 0.366460i \(0.880570\pi\)
\(132\) 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 −0.423147 0.906061i \(-0.639075\pi\)
0.258255 + 0.966077i \(0.416853\pi\)
\(138\) −3.69114e6 1.34347e6i −1.40451 0.511199i
\(139\) −3.44095e6 2.88730e6i −1.28125 1.07510i −0.993070 0.117521i \(-0.962505\pi\)
−0.288181 0.957576i \(-0.593050\pi\)
\(140\) 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 −0.867470 0.497490i \(-0.834255\pi\)
0.339297 + 0.940679i \(0.389811\pi\)
\(150\) 1.89937e6 + 1.07718e7i 0.562776 + 3.19166i
\(151\) 1.89531e6i 0.550489i 0.961374 + 0.275244i \(0.0887587\pi\)
−0.961374 + 0.275244i \(0.911241\pi\)
\(152\) −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 0.338415 0.940997i \(-0.390109\pi\)
−0.345620 + 0.938374i \(0.612331\pi\)
\(158\) 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 0.776545 + 0.630062i \(0.216971\pi\)
0.157377 + 0.987539i \(0.449696\pi\)
\(164\) 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 0.989997 0.141085i \(-0.0450591\pi\)
−0.849070 + 0.528281i \(0.822837\pi\)
\(168\) −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 0.526519 0.850163i \(-0.323497\pi\)
0.785539 + 0.618812i \(0.212386\pi\)
\(174\) −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 −0.755644 0.654982i \(-0.772676\pi\)
0.189409 + 0.981898i \(0.439343\pi\)
\(180\) 5.77424e6 3.27473e7i 0.990096 5.61511i
\(181\) −8.68118e6 1.53073e6i −1.46401 0.258144i −0.615839 0.787872i \(-0.711183\pi\)
−0.848168 + 0.529728i \(0.822294\pi\)
\(182\) −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 0.835886 0.548903i \(-0.184954\pi\)
−0.685714 + 0.727871i \(0.740510\pi\)
\(194\) 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 −0.996207 0.0870173i \(-0.972266\pi\)
0.573463 + 0.819232i \(0.305600\pi\)
\(198\) −9.74351e6 + 5.62542e6i −1.25522 + 0.724701i
\(199\) −1.49251e6 + 8.46442e6i −0.189390 + 1.07408i 0.730794 + 0.682598i \(0.239150\pi\)
−0.920184 + 0.391485i \(0.871961\pi\)
\(200\) −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 −0.488945 0.872315i \(-0.662618\pi\)
−0.161108 + 0.986937i \(0.551507\pi\)
\(212\) 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 −0.837438 0.546533i \(-0.815947\pi\)
0.992819 + 0.119626i \(0.0381695\pi\)
\(224\) 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 \(-0.590861\pi\)
0.281587 0.959536i \(-0.409139\pi\)
\(228\) 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 −0.309604 0.950866i \(-0.600197\pi\)
−0.848375 + 0.529396i \(0.822419\pi\)
\(234\) −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 0.970414 0.241449i \(-0.0776225\pi\)
−0.694307 + 0.719679i \(0.744289\pi\)
\(240\) 1.70500e7 + 9.84384e6i 1.23336 + 0.712083i
\(241\) 1.49105e7 1.77697e7i 1.06523 1.26949i 0.103750 0.994603i \(-0.466916\pi\)
0.961477 0.274885i \(-0.0886398\pi\)
\(242\) −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 −0.825626 0.564217i \(-0.809178\pi\)
−0.269795 + 0.962918i \(0.586956\pi\)
\(252\) −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 −0.574441 0.818546i \(-0.694780\pi\)
−0.819757 + 0.572711i \(0.805892\pi\)
\(258\) −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 −0.874931 0.484247i \(-0.839094\pi\)
0.324960 + 0.945728i \(0.394649\pi\)
\(264\) −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 0.993764 + 0.111504i \(0.0355667\pi\)
−0.0627555 + 0.998029i \(0.519989\pi\)
\(270\) 9.11272e7 3.31676e7i 4.62974 1.68509i
\(271\) 9.72164e6 + 3.53839e6i 0.488463 + 0.177786i 0.574498 0.818506i \(-0.305197\pi\)
−0.0860347 + 0.996292i \(0.527420\pi\)
\(272\) −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 −0.965461 0.260547i \(-0.916097\pi\)
0.257090 0.966387i \(-0.417236\pi\)
\(278\) 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 0.992921 + 0.118778i \(0.0378976\pi\)
−0.684273 + 0.729226i \(0.739880\pi\)
\(282\) −6.06386e7 + 5.08818e7i −2.70397 + 2.26890i
\(283\) 983810. + 5.57946e6i 0.0434062 + 0.246169i 0.998789 0.0492021i \(-0.0156678\pi\)
−0.955383 + 0.295371i \(0.904557\pi\)
\(284\) 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 −0.536215 0.844082i \(-0.680146\pi\)
0.462889 + 0.886416i \(0.346813\pi\)
\(294\) −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 0.925802 0.378008i \(-0.123391\pi\)
−0.533029 + 0.846097i \(0.678946\pi\)
\(308\) 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 −0.761957 0.647628i \(-0.775761\pi\)
0.941841 + 0.336060i \(0.109094\pi\)
\(312\) 1.07257e8 6.19249e7i 3.53152 2.03893i
\(313\) −4.14340e6 + 2.34984e7i −0.135121 + 0.766311i 0.839654 + 0.543122i \(0.182758\pi\)
−0.974775 + 0.223189i \(0.928353\pi\)
\(314\) 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 −0.977385 0.211467i \(-0.932176\pi\)
0.377975 + 0.925816i \(0.376620\pi\)
\(318\) −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 −0.684800 0.728731i \(-0.740110\pi\)
0.288700 + 0.957420i \(0.406777\pi\)
\(332\) −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 −0.678276 0.734807i \(-0.737273\pi\)
0.991915 0.126908i \(-0.0405053\pi\)
\(338\) 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 −0.647861 0.761758i \(-0.724336\pi\)
−0.985939 + 0.167103i \(0.946559\pi\)
\(348\) 5.20873e7 + 4.37064e7i 1.23593 + 1.03707i
\(349\) −2.67355e7 + 4.63073e7i −0.628945 + 1.08936i 0.358819 + 0.933407i \(0.383180\pi\)
−0.987764 + 0.155957i \(0.950154\pi\)
\(350\) 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 0.901320 0.433154i \(-0.142599\pi\)
−0.825782 + 0.563989i \(0.809266\pi\)
\(354\) −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 0.987392 + 0.158296i \(0.0505999\pi\)
−0.873704 + 0.486457i \(0.838289\pi\)
\(360\) 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 0.704950 0.709257i \(-0.250969\pi\)
−0.576069 + 0.817401i \(0.695414\pi\)
\(368\) −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 0.121380 0.992606i \(-0.461268\pi\)
−0.798932 + 0.601421i \(0.794602\pi\)
\(374\) 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 \(0.0535591\pi\)
−0.985877 + 0.167468i \(0.946441\pi\)
\(380\) 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 0.999993 0.00366357i \(-0.00116615\pi\)
−0.177255 + 0.984165i \(0.556722\pi\)
\(384\) −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 −0.638610 0.769531i \(-0.720490\pi\)
0.863292 0.504705i \(-0.168399\pi\)
\(390\) −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 0.957000 + 0.290089i \(0.0936849\pi\)
−0.800069 + 0.599908i \(0.795204\pi\)
\(398\) 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 −0.847012 0.531574i \(-0.821601\pi\)
−0.614121 + 0.789212i \(0.710489\pi\)
\(402\) −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 0.720503 0.693452i \(-0.243911\pi\)
0.439876 + 0.898058i \(0.355022\pi\)
\(410\) 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 0.705161 0.709047i \(-0.250875\pi\)
−0.820725 + 0.571323i \(0.806430\pi\)
\(422\) 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 −0.638953 0.769246i \(-0.720632\pi\)
0.868512 + 0.495668i \(0.165077\pi\)
\(432\) 3.10557e7 8.53247e7i 0.385203 1.05834i
\(433\) −2.29311e7 6.30026e7i −0.282463 0.776059i −0.997067 0.0765309i \(-0.975616\pi\)
0.714605 0.699529i \(-0.246607\pi\)
\(434\) 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 0.692005 0.721892i \(-0.256727\pi\)
0.897174 + 0.441677i \(0.145616\pi\)
\(440\) −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 0.874444 0.485127i \(-0.161227\pi\)
−0.325911 + 0.945400i \(0.605671\pi\)
\(444\) −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 0.490559 0.871408i \(-0.336793\pi\)
−0.509382 + 0.860540i \(0.670126\pi\)
\(450\) 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 −0.133474 0.991052i \(-0.542613\pi\)
−0.739283 + 0.673395i \(0.764835\pi\)
\(462\) 1.54081e7 + 1.29289e7i 0.156251 + 0.131110i
\(463\) 9.62191e6 1.66656e7i 0.0969434 0.167911i −0.813475 0.581600i \(-0.802427\pi\)
0.910418 + 0.413690i \(0.135760\pi\)
\(464\) −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 −0.997332 0.0729963i \(-0.976744\pi\)
0.435449 0.900213i \(-0.356589\pi\)
\(468\) 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 −0.447141 0.894463i \(-0.647558\pi\)
0.232420 + 0.972616i \(0.425336\pi\)
\(480\) 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 0.518408 0.855133i \(-0.326525\pi\)
−0.481363 + 0.876521i \(0.659858\pi\)
\(488\) −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 −0.712583 0.701588i \(-0.752475\pi\)
0.567190 + 0.823587i \(0.308030\pi\)
\(492\) −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 0.232008 0.972714i \(-0.425471\pi\)
−0.447520 + 0.894274i \(0.647693\pi\)
\(500\) −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 −0.999415 0.0342110i \(-0.989108\pi\)
0.950843 + 0.309672i \(0.100219\pi\)
\(504\) 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 −0.773756 0.633484i \(-0.781624\pi\)
0.185536 0.982638i \(-0.440598\pi\)
\(510\) −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 0.307493 0.951550i \(-0.400510\pi\)
0.977813 + 0.209478i \(0.0671765\pi\)
\(522\) −4.40340e7 + 2.49729e8i −0.309582 + 1.75573i
\(523\) −1.16557e8 2.05522e7i −0.814769 0.143666i −0.249290 0.968429i \(-0.580197\pi\)
−0.565478 + 0.824763i \(0.691308\pi\)
\(524\) 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 0.699022 + 0.715100i \(0.253619\pi\)
−0.901444 + 0.432895i \(0.857492\pi\)
\(542\) −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 0.991769 0.128038i \(-0.0408680\pi\)
−0.842041 + 0.539414i \(0.818646\pi\)
\(548\) −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 0.970654 0.240479i \(-0.0773044\pi\)
−0.0682729 + 0.997667i \(0.521749\pi\)
\(558\) 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 0.559945 0.828530i \(-0.310822\pi\)
−0.437555 + 0.899192i \(0.644155\pi\)
\(564\) 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 \(0.235038\pi\)
−0.739550 + 0.673102i \(0.764962\pi\)
\(570\) 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 −0.980391 0.197064i \(-0.936859\pi\)
0.660858 + 0.750511i \(0.270193\pi\)
\(578\) −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 −0.884780 0.466009i \(-0.845692\pi\)
0.672037 0.740518i \(-0.265420\pi\)
\(588\) 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 −0.910316 0.413915i \(-0.864161\pi\)
−0.431283 + 0.902217i \(0.641939\pi\)
\(594\) 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 −0.614259 0.789105i \(-0.710545\pi\)
−0.847104 + 0.531427i \(0.821656\pi\)
\(600\) 2.95443e8 + 5.11722e8i 1.36779 + 2.36908i
\(601\) 1.03357e8 + 5.96731e7i 0.476120 + 0.274888i 0.718798 0.695219i \(-0.244693\pi\)
−0.242678 + 0.970107i \(0.578026\pi\)
\(602\) −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 \(0.375650\pi\)
−0.380797 + 0.924659i \(0.624350\pi\)
\(608\) 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 −0.319414 0.947615i \(-0.603486\pi\)
−0.853801 + 0.520600i \(0.825708\pi\)
\(614\) −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 −0.567660 0.823263i \(-0.692151\pi\)
0.814998 0.579464i \(-0.196738\pi\)
\(618\) −8.17606e8 1.44166e8i −3.46401 0.610798i
\(619\) −2.18156e7 3.77857e7i −0.0919802 0.159314i 0.816364 0.577538i \(-0.195986\pi\)
−0.908344 + 0.418223i \(0.862653\pi\)
\(620\) −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 −0.333114 0.942886i \(-0.608100\pi\)
0.350895 + 0.936415i \(0.385877\pi\)
\(632\) 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 0.293373 + 0.955998i \(0.405222\pi\)
−0.839240 + 0.543761i \(0.817000\pi\)
\(642\) 2.80747e8 + 7.71345e8i 1.06099 + 2.91503i
\(643\) 3.03863e8 2.54971e8i 1.14300 0.959088i 0.143464 0.989656i \(-0.454176\pi\)
0.999533 + 0.0305679i \(0.00973158\pi\)
\(644\) −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 −0.998862 0.0476889i \(-0.984814\pi\)
0.540731 + 0.841196i \(0.318148\pi\)
\(654\) −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 −0.524969 0.851121i \(-0.675923\pi\)
0.929351 + 0.369198i \(0.120368\pi\)
\(660\) 1.86199e8 5.11578e8i 0.647658 1.77943i
\(661\) −4.44380e7 1.22092e8i −0.153869 0.422750i 0.838676 0.544630i \(-0.183330\pi\)
−0.992545 + 0.121880i \(0.961108\pi\)
\(662\) 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 −0.853316 0.521395i \(-0.825412\pi\)
0.0248833 + 0.999690i \(0.492079\pi\)
\(674\) −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 −0.0844000 0.996432i \(-0.526897\pi\)
−0.905135 + 0.425123i \(0.860231\pi\)
\(678\) 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 \(-0.885491\pi\)
0.935989 0.352030i \(-0.114509\pi\)
\(684\) −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 −0.808941 0.587890i \(-0.799959\pi\)
0.913598 + 0.406618i \(0.133292\pi\)
\(692\) 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 0.948262 0.317490i \(-0.102840\pi\)
−0.999662 + 0.0259817i \(0.991729\pi\)
\(702\) 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 0.717319 0.696745i \(-0.245369\pi\)
−0.561599 + 0.827410i \(0.689814\pi\)
\(710\) 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 0.0170231 0.999855i \(-0.494581\pi\)
0.987621 + 0.156859i \(0.0501367\pi\)
\(720\) −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 −0.213272 0.976993i \(-0.568412\pi\)
−0.791374 + 0.611332i \(0.790634\pi\)
\(728\) −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 0.997992 + 0.0633450i \(0.0201768\pi\)
−0.444137 + 0.895959i \(0.646490\pi\)
\(734\) −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 0.999406 0.0344503i \(-0.0109680\pi\)
−0.950918 + 0.309444i \(0.899857\pi\)
\(740\) 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 0.246988 0.969019i \(-0.420559\pi\)
0.563516 + 0.826105i \(0.309448\pi\)
\(744\) 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 −0.668867 0.743382i \(-0.733220\pi\)
−0.882781 + 0.469785i \(0.844331\pi\)
\(752\) 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 0.292048 0.956404i \(-0.405663\pi\)
0.992587 0.121533i \(-0.0387812\pi\)
\(758\) −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 +