Properties

Label 43.7.h.a.29.11
Level 43
Weight 7
Character 43.29
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 29.11
Character \(\chi\) \(=\) 43.29
Dual form 43.7.h.a.3.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.711983 - 1.47845i) q^{2} +(20.0817 - 1.50492i) q^{3} +(38.2245 - 47.9320i) q^{4} +(-40.7360 - 132.063i) q^{5} +(-16.5228 - 28.6183i) q^{6} +(72.9518 + 42.1187i) q^{7} +(-200.468 - 45.7555i) q^{8} +(-319.847 + 48.2092i) q^{9} +O(q^{10})\) \(q+(-0.711983 - 1.47845i) q^{2} +(20.0817 - 1.50492i) q^{3} +(38.2245 - 47.9320i) q^{4} +(-40.7360 - 132.063i) q^{5} +(-16.5228 - 28.6183i) q^{6} +(72.9518 + 42.1187i) q^{7} +(-200.468 - 45.7555i) q^{8} +(-319.847 + 48.2092i) q^{9} +(-166.245 + 154.253i) q^{10} +(-897.256 - 1125.12i) q^{11} +(695.479 - 1020.08i) q^{12} +(2870.79 + 2663.71i) q^{13} +(10.3299 - 137.843i) q^{14} +(-1016.79 - 2590.75i) q^{15} +(-798.015 - 3496.33i) q^{16} +(-4392.85 - 1355.01i) q^{17} +(299.000 + 438.553i) q^{18} +(1467.89 - 9738.79i) q^{19} +(-7887.15 - 3095.48i) q^{20} +(1528.38 + 736.030i) q^{21} +(-1024.61 + 2127.61i) q^{22} +(1546.04 - 3939.24i) q^{23} +(-4094.60 - 617.161i) q^{24} +(-2871.22 + 1957.56i) q^{25} +(1894.20 - 6140.83i) q^{26} +(-20663.1 + 4716.21i) q^{27} +(4807.37 - 1886.76i) q^{28} +(41891.1 + 3139.30i) q^{29} +(-3106.34 + 3347.84i) q^{30} +(38467.7 + 26226.8i) q^{31} +(-14889.8 + 11874.2i) q^{32} +(-19711.7 - 21244.1i) q^{33} +(1124.31 + 7459.34i) q^{34} +(2590.56 - 11350.0i) q^{35} +(-9915.23 + 17173.7i) q^{36} +(-45122.2 + 26051.3i) q^{37} +(-15443.4 + 4763.66i) q^{38} +(61659.1 + 49171.5i) q^{39} +(2123.66 + 28338.3i) q^{40} +(88187.2 - 42468.7i) q^{41} -2783.67i q^{42} +(65159.5 + 45558.8i) q^{43} -88226.5 q^{44} +(19396.0 + 40276.1i) q^{45} +(-6924.71 + 518.935i) q^{46} +(-84373.8 + 105801. i) q^{47} +(-21287.2 - 69011.4i) q^{48} +(-55276.5 - 95741.8i) q^{49} +(4938.41 + 2851.19i) q^{50} +(-90255.0 - 20600.1i) q^{51} +(237411. - 35784.0i) q^{52} +(37086.1 - 34410.9i) q^{53} +(21684.4 + 27191.4i) q^{54} +(-112037. + 164327. i) q^{55} +(-12697.3 - 11781.4i) q^{56} +(14821.6 - 197781. i) q^{57} +(-25184.4 - 64168.8i) q^{58} +(16859.2 + 73865.1i) q^{59} +(-163046. - 50293.0i) q^{60} +(125658. + 184306. i) q^{61} +(11386.7 - 75545.5i) q^{62} +(-25363.9 - 9954.61i) q^{63} +(-178634. - 86025.4i) q^{64} +(234832. - 487634. i) q^{65} +(-17373.9 + 44268.1i) q^{66} +(34901.5 + 5260.55i) q^{67} +(-232863. + 158763. i) q^{68} +(25118.8 - 81433.3i) q^{69} +(-18624.8 + 4250.98i) q^{70} +(312932. - 122817. i) q^{71} +(66324.9 + 4970.37i) q^{72} +(-219589. + 236660. i) q^{73} +(70641.7 + 48162.7i) q^{74} +(-54713.0 + 43632.1i) q^{75} +(-410690. - 442619. i) q^{76} +(-18067.7 - 119871. i) q^{77} +(28797.2 - 126169. i) q^{78} +(346596. - 600322. i) q^{79} +(-429228. + 247815. i) q^{80} +(-182526. + 56301.8i) q^{81} +(-125576. - 100143. i) q^{82} +(12364.6 + 164994. i) q^{83} +(93700.9 - 45124.0i) q^{84} +635330. i q^{85} +(20963.9 - 128772. i) q^{86} +845969. q^{87} +(128390. + 266606. i) q^{88} +(-164425. + 12321.9i) q^{89} +(45736.5 - 57351.8i) q^{90} +(97237.5 + 315236. i) q^{91} +(-129719. - 224680. i) q^{92} +(811967. + 468789. i) q^{93} +(216495. + 49413.5i) q^{94} +(-1.34593e6 + 202866. i) q^{95} +(-281143. + 260862. i) q^{96} +(551791. + 691924. i) q^{97} +(-102193. + 149890. i) q^{98} +(341226. + 316612. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.711983 1.47845i −0.0889978 0.184806i 0.851719 0.523999i \(-0.175560\pi\)
−0.940717 + 0.339193i \(0.889846\pi\)
\(3\) 20.0817 1.50492i 0.743767 0.0557376i 0.302544 0.953135i \(-0.402164\pi\)
0.441223 + 0.897398i \(0.354545\pi\)
\(4\) 38.2245 47.9320i 0.597257 0.748937i
\(5\) −40.7360 132.063i −0.325888 1.05650i −0.959229 0.282630i \(-0.908793\pi\)
0.633341 0.773873i \(-0.281683\pi\)
\(6\) −16.5228 28.6183i −0.0764943 0.132492i
\(7\) 72.9518 + 42.1187i 0.212687 + 0.122795i 0.602560 0.798074i \(-0.294148\pi\)
−0.389872 + 0.920869i \(0.627481\pi\)
\(8\) −200.468 45.7555i −0.391539 0.0893662i
\(9\) −319.847 + 48.2092i −0.438748 + 0.0661306i
\(10\) −166.245 + 154.253i −0.166245 + 0.154253i
\(11\) −897.256 1125.12i −0.674122 0.845322i 0.320676 0.947189i \(-0.396090\pi\)
−0.994798 + 0.101867i \(0.967518\pi\)
\(12\) 695.479 1020.08i 0.402476 0.590324i
\(13\) 2870.79 + 2663.71i 1.30669 + 1.21243i 0.961790 + 0.273789i \(0.0882771\pi\)
0.344898 + 0.938640i \(0.387913\pi\)
\(14\) 10.3299 137.843i 0.00376455 0.0502344i
\(15\) −1016.79 2590.75i −0.301272 0.767628i
\(16\) −798.015 3496.33i −0.194828 0.853597i
\(17\) −4392.85 1355.01i −0.894127 0.275802i −0.186556 0.982444i \(-0.559733\pi\)
−0.707571 + 0.706643i \(0.750209\pi\)
\(18\) 299.000 + 438.553i 0.0512689 + 0.0751977i
\(19\) 1467.89 9738.79i 0.214009 1.41986i −0.581319 0.813676i \(-0.697463\pi\)
0.795327 0.606180i \(-0.207299\pi\)
\(20\) −7887.15 3095.48i −0.985893 0.386935i
\(21\) 1528.38 + 736.030i 0.165034 + 0.0794763i
\(22\) −1024.61 + 2127.61i −0.0962251 + 0.199814i
\(23\) 1546.04 3939.24i 0.127068 0.323764i −0.853156 0.521656i \(-0.825314\pi\)
0.980224 + 0.197892i \(0.0634096\pi\)
\(24\) −4094.60 617.161i −0.296195 0.0446442i
\(25\) −2871.22 + 1957.56i −0.183758 + 0.125284i
\(26\) 1894.20 6140.83i 0.107772 0.349387i
\(27\) −20663.1 + 4716.21i −1.04979 + 0.239608i
\(28\) 4807.37 1886.76i 0.218995 0.0859491i
\(29\) 41891.1 + 3139.30i 1.71762 + 0.128718i 0.896791 0.442454i \(-0.145892\pi\)
0.820830 + 0.571172i \(0.193511\pi\)
\(30\) −3106.34 + 3347.84i −0.115050 + 0.123994i
\(31\) 38467.7 + 26226.8i 1.29125 + 0.880361i 0.997152 0.0754132i \(-0.0240276\pi\)
0.294101 + 0.955774i \(0.404980\pi\)
\(32\) −14889.8 + 11874.2i −0.454400 + 0.362372i
\(33\) −19711.7 21244.1i −0.548506 0.591149i
\(34\) 1124.31 + 7459.34i 0.0286056 + 0.189786i
\(35\) 2590.56 11350.0i 0.0604212 0.264722i
\(36\) −9915.23 + 17173.7i −0.212518 + 0.368092i
\(37\) −45122.2 + 26051.3i −0.890810 + 0.514310i −0.874207 0.485553i \(-0.838618\pi\)
−0.0166029 + 0.999862i \(0.505285\pi\)
\(38\) −15443.4 + 4763.66i −0.281444 + 0.0868140i
\(39\) 61659.1 + 49171.5i 1.03945 + 0.828933i
\(40\) 2123.66 + 28338.3i 0.0331822 + 0.442786i
\(41\) 88187.2 42468.7i 1.27954 0.616194i 0.334268 0.942478i \(-0.391511\pi\)
0.945272 + 0.326284i \(0.105796\pi\)
\(42\) 2783.67i 0.0375725i
\(43\) 65159.5 + 45558.8i 0.819544 + 0.573017i
\(44\) −88226.5 −1.03572
\(45\) 19396.0 + 40276.1i 0.212850 + 0.441988i
\(46\) −6924.71 + 518.935i −0.0711423 + 0.00533138i
\(47\) −84373.8 + 105801.i −0.812670 + 1.01906i 0.186659 + 0.982425i \(0.440234\pi\)
−0.999329 + 0.0366310i \(0.988337\pi\)
\(48\) −21287.2 69011.4i −0.192484 0.624018i
\(49\) −55276.5 95741.8i −0.469843 0.813791i
\(50\) 4938.41 + 2851.19i 0.0395073 + 0.0228095i
\(51\) −90255.0 20600.1i −0.680395 0.155296i
\(52\) 237411. 35784.0i 1.68846 0.254495i
\(53\) 37086.1 34410.9i 0.249106 0.231136i −0.545730 0.837961i \(-0.683748\pi\)
0.794836 + 0.606825i \(0.207557\pi\)
\(54\) 21684.4 + 27191.4i 0.137710 + 0.172683i
\(55\) −112037. + 164327.i −0.673397 + 0.987693i
\(56\) −12697.3 11781.4i −0.0723016 0.0670861i
\(57\) 14821.6 197781.i 0.0800333 1.06797i
\(58\) −25184.4 64168.8i −0.129077 0.328882i
\(59\) 16859.2 + 73865.1i 0.0820883 + 0.359652i 0.999244 0.0388766i \(-0.0123779\pi\)
−0.917156 + 0.398529i \(0.869521\pi\)
\(60\) −163046. 50293.0i −0.754842 0.232838i
\(61\) 125658. + 184306.i 0.553604 + 0.811987i 0.996413 0.0846286i \(-0.0269704\pi\)
−0.442809 + 0.896616i \(0.646018\pi\)
\(62\) 11386.7 75545.5i 0.0477773 0.316981i
\(63\) −25363.9 9954.61i −0.101437 0.0398110i
\(64\) −178634. 86025.4i −0.681433 0.328161i
\(65\) 234832. 487634.i 0.855102 1.77564i
\(66\) −17373.9 + 44268.1i −0.0604320 + 0.153978i
\(67\) 34901.5 + 5260.55i 0.116043 + 0.0174907i 0.206807 0.978382i \(-0.433693\pi\)
−0.0907639 + 0.995872i \(0.528931\pi\)
\(68\) −232863. + 158763.i −0.740582 + 0.504920i
\(69\) 25118.8 81433.3i 0.0764632 0.247888i
\(70\) −18624.8 + 4250.98i −0.0542996 + 0.0123935i
\(71\) 312932. 122817.i 0.874329 0.343149i 0.114618 0.993410i \(-0.463436\pi\)
0.759711 + 0.650261i \(0.225340\pi\)
\(72\) 66324.9 + 4970.37i 0.177697 + 0.0133165i
\(73\) −219589. + 236660.i −0.564471 + 0.608355i −0.949200 0.314675i \(-0.898105\pi\)
0.384729 + 0.923030i \(0.374295\pi\)
\(74\) 70641.7 + 48162.7i 0.174328 + 0.118855i
\(75\) −54713.0 + 43632.1i −0.129690 + 0.103424i
\(76\) −410690. 442619.i −0.935564 1.00830i
\(77\) −18067.7 119871.i −0.0395758 0.262568i
\(78\) 28797.2 126169.i 0.0606830 0.265870i
\(79\) 346596. 600322.i 0.702979 1.21760i −0.264437 0.964403i \(-0.585186\pi\)
0.967416 0.253192i \(-0.0814805\pi\)
\(80\) −429228. + 247815.i −0.838336 + 0.484014i
\(81\) −182526. + 56301.8i −0.343455 + 0.105942i
\(82\) −125576. 100143.i −0.227753 0.181627i
\(83\) 12364.6 + 164994.i 0.0216245 + 0.288558i 0.997523 + 0.0703354i \(0.0224070\pi\)
−0.975899 + 0.218223i \(0.929974\pi\)
\(84\) 93700.9 45124.0i 0.158091 0.0761324i
\(85\) 635330.i 1.03453i
\(86\) 20963.9 128772.i 0.0329592 0.202454i
\(87\) 845969. 1.28468
\(88\) 128390. + 266606.i 0.188402 + 0.391220i
\(89\) −164425. + 12321.9i −0.233237 + 0.0174787i −0.190836 0.981622i \(-0.561120\pi\)
−0.0424013 + 0.999101i \(0.513501\pi\)
\(90\) 45736.5 57351.8i 0.0627387 0.0786719i
\(91\) 97237.5 + 315236.i 0.129036 + 0.418323i
\(92\) −129719. 224680.i −0.166587 0.288536i
\(93\) 811967. + 468789.i 1.00946 + 0.582812i
\(94\) 216495. + 49413.5i 0.260653 + 0.0594924i
\(95\) −1.34593e6 + 202866.i −1.56983 + 0.236613i
\(96\) −281143. + 260862.i −0.317770 + 0.294848i
\(97\) 551791. + 691924.i 0.604588 + 0.758129i 0.986085 0.166241i \(-0.0531629\pi\)
−0.381497 + 0.924370i \(0.624591\pi\)
\(98\) −102193. + 149890.i −0.108578 + 0.159255i
\(99\) 341226. + 316612.i 0.351671 + 0.326303i
\(100\) −15920.9 + 212450.i −0.0159209 + 0.212450i
\(101\) 460079. + 1.17226e6i 0.446548 + 1.13779i 0.960082 + 0.279717i \(0.0902407\pi\)
−0.513534 + 0.858069i \(0.671664\pi\)
\(102\) 33803.8 + 148104.i 0.0318541 + 0.139562i
\(103\) 1.16384e6 + 358998.i 1.06508 + 0.328534i 0.777279 0.629156i \(-0.216599\pi\)
0.287802 + 0.957690i \(0.407075\pi\)
\(104\) −453623. 665342.i −0.403269 0.591487i
\(105\) 34942.1 231825.i 0.0301843 0.200260i
\(106\) −77279.3 30329.9i −0.0648852 0.0254656i
\(107\) −1.25860e6 606110.i −1.02739 0.494767i −0.157247 0.987559i \(-0.550262\pi\)
−0.870147 + 0.492793i \(0.835976\pi\)
\(108\) −563778. + 1.17070e6i −0.447545 + 0.929336i
\(109\) 435560. 1.10979e6i 0.336333 0.856961i −0.658230 0.752817i \(-0.728694\pi\)
0.994562 0.104144i \(-0.0332104\pi\)
\(110\) 322717. + 48641.8i 0.242462 + 0.0365453i
\(111\) −866926. + 591060.i −0.633889 + 0.432178i
\(112\) 89044.4 288675.i 0.0633801 0.205473i
\(113\) 471604. 107641.i 0.326845 0.0746003i −0.0559498 0.998434i \(-0.517819\pi\)
0.382795 + 0.923833i \(0.374962\pi\)
\(114\) −302961. + 118903.i −0.204490 + 0.0802564i
\(115\) −583207. 43705.3i −0.383468 0.0287370i
\(116\) 1.75174e6 1.88792e6i 1.12226 1.20951i
\(117\) −1.04663e6 713581.i −0.653485 0.445539i
\(118\) 97202.1 77516.1i 0.0591602 0.0471787i
\(119\) −263394. 283872.i −0.156302 0.168454i
\(120\) 85293.5 + 565885.i 0.0493596 + 0.327480i
\(121\) −66625.3 + 291905.i −0.0376083 + 0.164773i
\(122\) 183020. 317000.i 0.100791 0.174574i
\(123\) 1.70704e6 985559.i 0.917335 0.529624i
\(124\) 2.72751e6 841326.i 1.43055 0.441265i
\(125\) −1.31282e6 1.04694e6i −0.672164 0.536033i
\(126\) 3341.31 + 44586.7i 0.00167034 + 0.0222892i
\(127\) −1.60011e6 + 770570.i −0.781155 + 0.376185i −0.781572 0.623815i \(-0.785582\pi\)
0.000416475 1.00000i \(0.499867\pi\)
\(128\) 1.54421e6i 0.736338i
\(129\) 1.37708e6 + 816840.i 0.641488 + 0.380511i
\(130\) −888138. −0.404250
\(131\) −1.33110e6 2.76405e6i −0.592101 1.22951i −0.954701 0.297565i \(-0.903825\pi\)
0.362601 0.931945i \(-0.381889\pi\)
\(132\) −1.77174e6 + 132774.i −0.770332 + 0.0577284i
\(133\) 517270. 648637.i 0.219868 0.275706i
\(134\) −17071.8 55345.4i −0.00709520 0.0230021i
\(135\) 1.46457e6 + 2.53671e6i 0.595262 + 1.03102i
\(136\) 818625. + 472633.i 0.325438 + 0.187892i
\(137\) −2.18025e6 497627.i −0.847899 0.193527i −0.223569 0.974688i \(-0.571771\pi\)
−0.624330 + 0.781161i \(0.714628\pi\)
\(138\) −138279. + 20842.2i −0.0526161 + 0.00793061i
\(139\) −1.30469e6 + 1.21057e6i −0.485805 + 0.450761i −0.884649 0.466257i \(-0.845602\pi\)
0.398844 + 0.917019i \(0.369412\pi\)
\(140\) −445004. 558017.i −0.162173 0.203359i
\(141\) −1.53515e6 + 2.25165e6i −0.547637 + 0.803236i
\(142\) −404380. 375210.i −0.141229 0.131042i
\(143\) 421163. 5.62003e6i 0.144026 1.92190i
\(144\) 423798. + 1.07982e6i 0.141929 + 0.361630i
\(145\) −1.29189e6 5.66014e6i −0.423761 1.85662i
\(146\) 506233. + 156152.i 0.162664 + 0.0501753i
\(147\) −1.25413e6 1.83947e6i −0.394812 0.579083i
\(148\) −476081. + 3.15859e6i −0.146857 + 0.974336i
\(149\) −490390. 192464.i −0.148246 0.0581822i 0.290058 0.957009i \(-0.406325\pi\)
−0.438304 + 0.898827i \(0.644421\pi\)
\(150\) 103462. + 49824.9i 0.0306555 + 0.0147629i
\(151\) −1.25857e6 + 2.61344e6i −0.365549 + 0.759070i −0.999902 0.0139734i \(-0.995552\pi\)
0.634354 + 0.773043i \(0.281266\pi\)
\(152\) −739867. + 1.88515e6i −0.210680 + 0.536804i
\(153\) 1.47036e6 + 221622.i 0.410535 + 0.0618782i
\(154\) −164359. + 112058.i −0.0450020 + 0.0306818i
\(155\) 1.89657e6 6.14854e6i 0.509301 1.65111i
\(156\) 4.71377e6 1.07589e6i 1.24164 0.283396i
\(157\) 951700. 373515.i 0.245924 0.0965181i −0.239178 0.970976i \(-0.576878\pi\)
0.485102 + 0.874458i \(0.338783\pi\)
\(158\) −1.13431e6 85005.1i −0.287582 0.0215513i
\(159\) 692967. 746841.i 0.172394 0.185796i
\(160\) 2.17469e6 + 1.48268e6i 0.530931 + 0.361983i
\(161\) 278702. 222257.i 0.0667824 0.0532572i
\(162\) 213195. + 229769.i 0.0501454 + 0.0540439i
\(163\) 415957. + 2.75969e6i 0.0960474 + 0.637233i 0.984117 + 0.177523i \(0.0568085\pi\)
−0.888069 + 0.459710i \(0.847953\pi\)
\(164\) 1.33530e6 5.85033e6i 0.302724 1.32632i
\(165\) −2.00259e6 + 3.46858e6i −0.445799 + 0.772147i
\(166\) 235131. 135753.i 0.0514028 0.0296774i
\(167\) 1.99166e6 614345.i 0.427627 0.131905i −0.0734683 0.997298i \(-0.523407\pi\)
0.501095 + 0.865392i \(0.332931\pi\)
\(168\) −272714. 217482.i −0.0575148 0.0458665i
\(169\) 785412. + 1.04806e7i 0.162719 + 2.17133i
\(170\) 939302. 452344.i 0.191187 0.0920708i
\(171\) 3.18569e6i 0.637112i
\(172\) 4.67441e6 1.38176e6i 0.918632 0.271548i
\(173\) −8.78530e6 −1.69675 −0.848376 0.529394i \(-0.822419\pi\)
−0.848376 + 0.529394i \(0.822419\pi\)
\(174\) −602315. 1.25072e6i −0.114334 0.237417i
\(175\) −291910. + 21875.6i −0.0544672 + 0.00408175i
\(176\) −3.21778e6 + 4.03497e6i −0.590227 + 0.740121i
\(177\) 449723. + 1.45797e6i 0.0811008 + 0.262922i
\(178\) 135285. + 234321.i 0.0239878 + 0.0415480i
\(179\) 2.67850e6 + 1.54643e6i 0.467016 + 0.269632i 0.714990 0.699135i \(-0.246431\pi\)
−0.247973 + 0.968767i \(0.579765\pi\)
\(180\) 2.67191e6 + 609847.i 0.458147 + 0.104569i
\(181\) −1.06704e7 + 1.60830e6i −1.79947 + 0.271227i −0.961563 0.274585i \(-0.911459\pi\)
−0.837908 + 0.545812i \(0.816221\pi\)
\(182\) 396829. 368203.i 0.0658247 0.0610764i
\(183\) 2.80078e6 + 3.51207e6i 0.457010 + 0.573073i
\(184\) −490173. + 718951.i −0.0786856 + 0.115411i
\(185\) 5.27851e6 + 4.89775e6i 0.833674 + 0.773537i
\(186\) 114974. 1.53422e6i 0.0178674 0.238423i
\(187\) 2.41695e6 + 6.15829e6i 0.369609 + 0.941749i
\(188\) 1.84613e6 + 8.08841e6i 0.277835 + 1.21728i
\(189\) −1.70605e6 526246.i −0.252700 0.0779477i
\(190\) 1.25821e6 + 1.84545e6i 0.183439 + 0.269055i
\(191\) 1.09899e6 7.29133e6i 0.157723 1.04642i −0.760208 0.649680i \(-0.774903\pi\)
0.917930 0.396742i \(-0.129859\pi\)
\(192\) −3.71673e6 1.45871e6i −0.525118 0.206094i
\(193\) 2.89499e6 + 1.39416e6i 0.402694 + 0.193927i 0.624258 0.781219i \(-0.285402\pi\)
−0.221563 + 0.975146i \(0.571116\pi\)
\(194\) 630107. 1.30843e6i 0.0862997 0.179203i
\(195\) 3.98199e6 1.01459e7i 0.537027 1.36832i
\(196\) −6.70201e6 1.01016e6i −0.890095 0.134160i
\(197\) 1.71943e6 1.17229e6i 0.224898 0.153333i −0.445630 0.895217i \(-0.647020\pi\)
0.670528 + 0.741885i \(0.266068\pi\)
\(198\) 225147. 729907.i 0.0290048 0.0940312i
\(199\) 6.20193e6 1.41555e6i 0.786987 0.179625i 0.189902 0.981803i \(-0.439183\pi\)
0.597084 + 0.802178i \(0.296326\pi\)
\(200\) 665156. 261054.i 0.0831445 0.0326318i
\(201\) 708798. + 53117.0i 0.0872839 + 0.00654102i
\(202\) 1.40556e6 1.51483e6i 0.170528 0.183785i
\(203\) 2.92380e6 + 1.99342e6i 0.349510 + 0.238292i
\(204\) −4.43735e6 + 3.53867e6i −0.522677 + 0.416821i
\(205\) −9.20094e6 9.91625e6i −1.06800 1.15103i
\(206\) −297877. 1.97628e6i −0.0340749 0.226072i
\(207\) −304588. + 1.33449e6i −0.0343401 + 0.150454i
\(208\) 7.02227e6 1.21629e7i 0.780347 1.35160i
\(209\) −1.22744e7 + 7.08664e6i −1.34450 + 0.776250i
\(210\) −367620. + 113396.i −0.0396955 + 0.0122444i
\(211\) −2.37118e6 1.89096e6i −0.252417 0.201295i 0.489104 0.872225i \(-0.337324\pi\)
−0.741521 + 0.670930i \(0.765895\pi\)
\(212\) −231784. 3.09295e6i −0.0243263 0.324612i
\(213\) 6.09938e6 2.93731e6i 0.631171 0.303956i
\(214\) 2.29231e6i 0.233901i
\(215\) 3.36230e6 1.04610e7i 0.338314 1.05259i
\(216\) 4.35808e6 0.432448
\(217\) 1.70165e6 + 3.53350e6i 0.166529 + 0.345801i
\(218\) −1.95088e6 + 146198.i −0.188304 + 0.0141115i
\(219\) −4.05356e6 + 5.08301e6i −0.385927 + 0.483937i
\(220\) 3.59400e6 + 1.16515e7i 0.337528 + 1.09424i
\(221\) −9.00160e6 1.55912e7i −0.833955 1.44445i
\(222\) 1.49109e6 + 860880.i 0.136284 + 0.0786835i
\(223\) −1.09649e7 2.50266e6i −0.988756 0.225677i −0.302589 0.953121i \(-0.597851\pi\)
−0.686167 + 0.727444i \(0.740708\pi\)
\(224\) −1.58636e6 + 239106.i −0.141143 + 0.0212738i
\(225\) 823978. 764540.i 0.0723383 0.0671201i
\(226\) −494915. 620603.i −0.0428751 0.0537637i
\(227\) −9.71395e6 + 1.42477e7i −0.830459 + 1.21806i 0.143119 + 0.989705i \(0.454287\pi\)
−0.973578 + 0.228354i \(0.926666\pi\)
\(228\) −8.91347e6 8.27049e6i −0.752042 0.697793i
\(229\) 352751. 4.70714e6i 0.0293739 0.391968i −0.963068 0.269257i \(-0.913222\pi\)
0.992442 0.122711i \(-0.0391589\pi\)
\(230\) 350617. + 893358.i 0.0288171 + 0.0734247i
\(231\) −543225. 2.38003e6i −0.0440701 0.193084i
\(232\) −8.25417e6 2.54607e6i −0.661012 0.203895i
\(233\) −1.45408e6 2.13275e6i −0.114953 0.168605i 0.764450 0.644683i \(-0.223011\pi\)
−0.879403 + 0.476078i \(0.842058\pi\)
\(234\) −309809. + 2.05545e6i −0.0241794 + 0.160420i
\(235\) 1.74095e7 + 6.83273e6i 1.34148 + 0.526490i
\(236\) 4.18493e6 + 2.01536e6i 0.318385 + 0.153326i
\(237\) 6.05681e6 1.25771e7i 0.454987 0.944790i
\(238\) −232157. + 591526.i −0.0172207 + 0.0438776i
\(239\) 1.10584e7 + 1.66678e6i 0.810024 + 0.122091i 0.540979 0.841036i \(-0.318054\pi\)
0.269045 + 0.963128i \(0.413292\pi\)
\(240\) −8.24669e6 + 5.62250e6i −0.596549 + 0.406720i
\(241\) 50656.2 164223.i 0.00361894 0.0117323i −0.953745 0.300616i \(-0.902808\pi\)
0.957364 + 0.288883i \(0.0932840\pi\)
\(242\) 479002. 109329.i 0.0337980 0.00771417i
\(243\) 1.08020e7 4.23947e6i 0.752810 0.295456i
\(244\) 1.36373e7 + 1.02198e6i 0.938771 + 0.0703512i
\(245\) −1.03922e7 + 1.12001e7i −0.706657 + 0.761596i
\(246\) −2.67248e6 1.82206e6i −0.179518 0.122394i
\(247\) 3.01553e7 2.40480e7i 2.00112 1.59584i
\(248\) −6.51152e6 7.01775e6i −0.426901 0.460090i
\(249\) 496604. + 3.29475e6i 0.0321671 + 0.213415i
\(250\) −613139. + 2.68634e6i −0.0392409 + 0.171926i
\(251\) 1.65512e6 2.86675e6i 0.104666 0.181288i −0.808935 0.587898i \(-0.799956\pi\)
0.913602 + 0.406610i \(0.133289\pi\)
\(252\) −1.44667e6 + 835233.i −0.0903997 + 0.0521923i
\(253\) −5.81932e6 + 1.79502e6i −0.359344 + 0.110843i
\(254\) 2.27849e6 + 1.81704e6i 0.139042 + 0.110882i
\(255\) 956118. + 1.27585e7i 0.0576622 + 0.769449i
\(256\) −9.14951e6 + 4.40617e6i −0.545353 + 0.262628i
\(257\) 1.19156e7i 0.701964i 0.936382 + 0.350982i \(0.114152\pi\)
−0.936382 + 0.350982i \(0.885848\pi\)
\(258\) 227200. 2.61751e6i 0.0132297 0.152416i
\(259\) −4.38899e6 −0.252619
\(260\) −1.43969e7 2.98955e7i −0.819124 1.70093i
\(261\) −1.35501e7 + 1.01544e6i −0.762115 + 0.0571126i
\(262\) −3.13878e6 + 3.93591e6i −0.174525 + 0.218847i
\(263\) −1.49400e6 4.84342e6i −0.0821264 0.266247i 0.905191 0.425004i \(-0.139727\pi\)
−0.987318 + 0.158757i \(0.949251\pi\)
\(264\) 2.97952e6 + 5.16068e6i 0.161933 + 0.280476i
\(265\) −6.05514e6 3.49594e6i −0.325377 0.187856i
\(266\) −1.32726e6 302939.i −0.0705199 0.0160957i
\(267\) −3.28339e6 + 494892.i −0.172500 + 0.0260002i
\(268\) 1.58624e6 1.47181e6i 0.0824070 0.0764625i
\(269\) 2.29265e7 + 2.87490e7i 1.17783 + 1.47695i 0.845655 + 0.533729i \(0.179210\pi\)
0.332172 + 0.943219i \(0.392219\pi\)
\(270\) 2.70764e6 3.97138e6i 0.137562 0.201767i
\(271\) −710832. 659555.i −0.0357157 0.0331393i 0.662113 0.749404i \(-0.269660\pi\)
−0.697829 + 0.716265i \(0.745850\pi\)
\(272\) −1.23202e6 + 1.64402e7i −0.0612225 + 0.816958i
\(273\) 2.42710e6 + 6.18415e6i 0.119289 + 0.303943i
\(274\) 816582. + 3.57768e6i 0.0396961 + 0.173920i
\(275\) 4.77872e6 + 1.47404e6i 0.229780 + 0.0708779i
\(276\) −2.94310e6 4.31674e6i −0.139984 0.205319i
\(277\) −5.05009e6 + 3.35051e7i −0.237607 + 1.57642i 0.478281 + 0.878207i \(0.341260\pi\)
−0.715889 + 0.698214i \(0.753978\pi\)
\(278\) 2.71868e6 + 1.06700e6i 0.126539 + 0.0496629i
\(279\) −1.35682e7 6.53409e6i −0.624753 0.300865i
\(280\) −1.03865e6 + 2.15677e6i −0.0473145 + 0.0982495i
\(281\) −2.95648e6 + 7.53300e6i −0.133247 + 0.339507i −0.981888 0.189461i \(-0.939326\pi\)
0.848641 + 0.528969i \(0.177421\pi\)
\(282\) 4.42194e6 + 666501.i 0.197181 + 0.0297203i
\(283\) 2.58258e7 1.76077e7i 1.13945 0.776863i 0.161741 0.986833i \(-0.448289\pi\)
0.977708 + 0.209971i \(0.0673369\pi\)
\(284\) 6.07481e6 1.96941e7i 0.265203 0.859766i
\(285\) −2.67233e7 + 6.09941e6i −1.15440 + 0.263484i
\(286\) −8.60877e6 + 3.37869e6i −0.367996 + 0.144428i
\(287\) 8.22214e6 + 616164.i 0.347808 + 0.0260646i
\(288\) 4.19001e6 4.51576e6i 0.175403 0.189040i
\(289\) −2.48236e6 1.69245e6i −0.102842 0.0701167i
\(290\) −7.44841e6 + 5.93991e6i −0.305401 + 0.243549i
\(291\) 1.21222e7 + 1.30646e7i 0.491929 + 0.530173i
\(292\) 2.94993e6 + 1.95715e7i 0.118485 + 0.786097i
\(293\) −3.06918e6 + 1.34470e7i −0.122017 + 0.534591i 0.876562 + 0.481290i \(0.159831\pi\)
−0.998578 + 0.0533011i \(0.983026\pi\)
\(294\) −1.82664e6 + 3.16384e6i −0.0718806 + 0.124501i
\(295\) 9.06806e6 5.23545e6i 0.353222 0.203933i
\(296\) 1.02375e7 3.15786e6i 0.394749 0.121764i
\(297\) 2.38464e7 + 1.90169e7i 0.910235 + 0.725888i
\(298\) 64601.4 + 862046.i 0.00244114 + 0.0325748i
\(299\) 1.49313e7 7.19055e6i 0.558580 0.268998i
\(300\) 4.29031e6i 0.158901i
\(301\) 2.83462e6 + 6.06803e6i 0.103943 + 0.222509i
\(302\) 4.75991e6 0.172814
\(303\) 1.10033e7 + 2.28487e7i 0.395545 + 0.821359i
\(304\) −3.52215e7 + 2.63948e6i −1.25368 + 0.0939503i
\(305\) 1.92212e7 2.41026e7i 0.677455 0.849501i
\(306\) −719218. 2.33165e6i −0.0251013 0.0813764i
\(307\) −3.96675e6 6.87061e6i −0.137094 0.237454i 0.789301 0.614006i \(-0.210443\pi\)
−0.926396 + 0.376552i \(0.877110\pi\)
\(308\) −6.43628e6 3.71599e6i −0.220284 0.127181i
\(309\) 2.39122e7 + 5.45781e6i 0.810485 + 0.184988i
\(310\) −1.04406e7 + 1.57367e6i −0.350462 + 0.0528236i
\(311\) 1.00166e7 9.29408e6i 0.332997 0.308976i −0.495897 0.868381i \(-0.665161\pi\)
0.828895 + 0.559405i \(0.188970\pi\)
\(312\) −1.01108e7 1.26785e7i −0.332906 0.417451i
\(313\) 1.64496e7 2.41272e7i 0.536443 0.786817i −0.458346 0.888774i \(-0.651558\pi\)
0.994789 + 0.101957i \(0.0325104\pi\)
\(314\) −1.22982e6 1.14110e6i −0.0397238 0.0368583i
\(315\) −281409. + 3.75515e6i −0.00900341 + 0.120142i
\(316\) −1.55262e7 3.95600e7i −0.492043 1.25370i
\(317\) −1.41955e6 6.21944e6i −0.0445627 0.195242i 0.947747 0.319024i \(-0.103355\pi\)
−0.992309 + 0.123782i \(0.960498\pi\)
\(318\) −1.59754e6 492777.i −0.0496789 0.0153239i
\(319\) −3.40549e7 4.99494e7i −1.04908 1.53871i
\(320\) −4.08395e6 + 2.70952e7i −0.124632 + 0.826880i
\(321\) −2.61870e7 1.02776e7i −0.791718 0.310727i
\(322\) −527026. 253803.i −0.0157857 0.00760201i
\(323\) −1.96444e7 + 4.07920e7i −0.582950 + 1.21051i
\(324\) −4.27830e6 + 1.09009e7i −0.125787 + 0.320501i
\(325\) −1.34570e7 2.02832e6i −0.392012 0.0590863i
\(326\) 3.78391e6 2.57982e6i 0.109216 0.0744625i
\(327\) 7.07666e6 2.29420e7i 0.202388 0.656126i
\(328\) −1.96219e7 + 4.47857e6i −0.556057 + 0.126916i
\(329\) −1.06114e7 + 4.16468e6i −0.297980 + 0.116948i
\(330\) 6.55392e6 + 491148.i 0.182372 + 0.0136669i
\(331\) 976295. 1.05220e6i 0.0269214 0.0290143i −0.719448 0.694547i \(-0.755605\pi\)
0.746369 + 0.665532i \(0.231795\pi\)
\(332\) 8.38111e6 + 5.71415e6i 0.229027 + 0.156148i
\(333\) 1.31763e7 1.05078e7i 0.356830 0.284562i
\(334\) −2.32630e6 2.50716e6i −0.0624348 0.0672887i
\(335\) −727023. 4.82348e6i −0.0193381 0.128300i
\(336\) 1.35373e6 5.93109e6i 0.0356874 0.156357i
\(337\) −1.30244e7 + 2.25589e7i −0.340304 + 0.589425i −0.984489 0.175445i \(-0.943863\pi\)
0.644185 + 0.764870i \(0.277197\pi\)
\(338\) 1.49358e7 8.62319e6i 0.386793 0.223315i
\(339\) 9.30863e6 2.87133e6i 0.238939 0.0737028i
\(340\) 3.04526e7 + 2.42851e7i 0.774797 + 0.617880i
\(341\) −5.00695e6 6.68131e7i −0.126273 1.68500i
\(342\) 4.70988e6 2.26816e6i 0.117742 0.0567015i
\(343\) 1.92232e7i 0.476368i
\(344\) −1.09778e7 1.21145e7i −0.269675 0.297598i
\(345\) −1.17776e7 −0.286813
\(346\) 6.25498e6 + 1.29886e7i 0.151007 + 0.313570i
\(347\) 5.05386e7 3.78734e6i 1.20958 0.0906454i 0.545372 0.838194i \(-0.316388\pi\)
0.664207 + 0.747549i \(0.268769\pi\)
\(348\) 3.23367e7 4.05489e7i 0.767287 0.962148i
\(349\) 6.03339e6 + 1.95598e7i 0.141934 + 0.460137i 0.998430 0.0560158i \(-0.0178397\pi\)
−0.856496 + 0.516153i \(0.827364\pi\)
\(350\) 240177. + 415999.i 0.00560179 + 0.00970259i
\(351\) −7.18820e7 4.15011e7i −1.66226 0.959706i
\(352\) 2.67199e7 + 6.09864e6i 0.612642 + 0.139832i
\(353\) −6.75606e7 + 1.01831e7i −1.53592 + 0.231503i −0.861850 0.507163i \(-0.830694\pi\)
−0.674072 + 0.738666i \(0.735456\pi\)
\(354\) 1.83533e6 1.70294e6i 0.0413718 0.0383874i
\(355\) −2.89672e7 3.63237e7i −0.647472 0.811904i
\(356\) −5.69444e6 + 8.35221e6i −0.126212 + 0.185119i
\(357\) −5.71661e6 5.30424e6i −0.125642 0.116579i
\(358\) 379273. 5.06105e6i 0.00826615 0.110304i
\(359\) 2.00863e7 + 5.11790e7i 0.434126 + 1.10613i 0.965824 + 0.259201i \(0.0834591\pi\)
−0.531698 + 0.846934i \(0.678446\pi\)
\(360\) −2.04541e6 8.96154e6i −0.0438403 0.192077i
\(361\) −4.77336e7 1.47239e7i −1.01462 0.312968i
\(362\) 9.97493e6 + 1.46305e7i 0.210273 + 0.308414i
\(363\) −898659. + 5.96221e6i −0.0187878 + 0.124649i
\(364\) 1.88267e7 + 7.38895e6i 0.390365 + 0.153207i
\(365\) 4.01992e7 + 1.93589e7i 0.826684 + 0.398110i
\(366\) 3.19830e6 6.64134e6i 0.0652343 0.135460i
\(367\) 74171.3 188985.i 0.00150051 0.00382323i −0.930122 0.367252i \(-0.880299\pi\)
0.931622 + 0.363429i \(0.118394\pi\)
\(368\) −1.50067e7 2.26189e6i −0.301120 0.0453866i
\(369\) −2.61591e7 + 1.78349e7i −0.520646 + 0.354971i
\(370\) 3.48285e6 1.12911e7i 0.0687589 0.222911i
\(371\) 4.15484e6 948314.i 0.0813640 0.0185708i
\(372\) 5.35070e7 2.09999e7i 1.03940 0.407933i
\(373\) −3.93644e7 2.94995e6i −0.758537 0.0568445i −0.310155 0.950686i \(-0.600381\pi\)
−0.448383 + 0.893842i \(0.648000\pi\)
\(374\) 7.38388e6 7.95793e6i 0.141146 0.152120i
\(375\) −2.79392e7 1.90486e7i −0.529810 0.361219i
\(376\) 2.17552e7 1.73492e7i 0.409261 0.326375i
\(377\) 1.11898e8 + 1.20598e8i 2.08833 + 2.25069i
\(378\) 436650. + 2.89698e6i 0.00808458 + 0.0536377i
\(379\) 7.48100e6 3.27764e7i 0.137417 0.602065i −0.858580 0.512680i \(-0.828653\pi\)
0.995997 0.0893852i \(-0.0284902\pi\)
\(380\) −4.17237e7 + 7.22675e7i −0.760382 + 1.31702i
\(381\) −3.09732e7 + 1.78824e7i −0.560030 + 0.323333i
\(382\) −1.15623e7 + 3.56650e6i −0.207422 + 0.0639812i
\(383\) 4.54214e7 + 3.62224e7i 0.808471 + 0.644734i 0.937920 0.346852i \(-0.112749\pi\)
−0.129449 + 0.991586i \(0.541321\pi\)
\(384\) 2.32391e6 + 3.10104e7i 0.0410417 + 0.547664i
\(385\) −1.50945e7 + 7.26914e6i −0.264507 + 0.127380i
\(386\) 5.27271e6i 0.0916794i
\(387\) −2.30374e7 1.14306e7i −0.397467 0.197213i
\(388\) 5.42572e7 0.928885
\(389\) −2.28870e7 4.75253e7i −0.388812 0.807376i −0.999875 0.0157943i \(-0.994972\pi\)
0.611064 0.791582i \(-0.290742\pi\)
\(390\) −1.78353e7 + 1.33657e6i −0.300668 + 0.0225320i
\(391\) −1.21292e7 + 1.52096e7i −0.202910 + 0.254441i
\(392\) 6.70046e6 + 2.17224e7i 0.111236 + 0.360619i
\(393\) −3.08904e7 5.35037e7i −0.508915 0.881467i
\(394\) −2.95737e6 1.70744e6i −0.0483523 0.0279162i
\(395\) −9.33992e7 2.13178e7i −1.51549 0.345900i
\(396\) 2.82190e7 4.25333e6i 0.454419 0.0684926i
\(397\) 2.24122e7 2.07955e7i 0.358190 0.332352i −0.480466 0.877013i \(-0.659532\pi\)
0.838656 + 0.544662i \(0.183342\pi\)
\(398\) −6.50848e6 8.16137e6i −0.103236 0.129454i
\(399\) 9.41153e6 1.38042e7i 0.148164 0.217316i
\(400\) 9.13556e6 + 8.47656e6i 0.142743 + 0.132446i
\(401\) −3.71046e6 + 4.95127e7i −0.0575433 + 0.767862i 0.891561 + 0.452900i \(0.149611\pi\)
−0.949104 + 0.314962i \(0.898008\pi\)
\(402\) −426121. 1.08574e6i −0.00655926 0.0167127i
\(403\) 4.05722e7 + 1.77759e8i 0.619889 + 2.71591i
\(404\) 7.37751e7 + 2.27566e7i 1.11883 + 0.345115i
\(405\) 1.48708e7 + 2.18114e7i 0.223856 + 0.328336i
\(406\) 865462. 5.74196e6i 0.0129321 0.0857990i
\(407\) 6.97972e7 + 2.73934e7i 1.03527 + 0.406314i
\(408\) 1.71507e7 + 8.25933e6i 0.252523 + 0.121609i
\(409\) 4.76941e7 9.90379e7i 0.697100 1.44754i −0.188013 0.982167i \(-0.560205\pi\)
0.885113 0.465376i \(-0.154081\pi\)
\(410\) −8.10975e6 + 2.06633e7i −0.117667 + 0.299811i
\(411\) −4.45320e7 6.71211e6i −0.641426 0.0966794i
\(412\) 6.16948e7 4.20628e7i 0.882179 0.601460i
\(413\) −1.88119e6 + 6.09867e6i −0.0267044 + 0.0865736i
\(414\) 2.18983e6 499815.i 0.0308610 0.00704382i
\(415\) 2.12859e7 8.35410e6i 0.297816 0.116884i
\(416\) −7.43749e7 5.57363e6i −1.03311 0.0774209i
\(417\) −2.43786e7 + 2.62738e7i −0.336202 + 0.362339i
\(418\) 1.92164e7 + 1.31015e7i 0.263113 + 0.179388i
\(419\) −6.67766e7 + 5.32526e7i −0.907784 + 0.723933i −0.961553 0.274620i \(-0.911448\pi\)
0.0537692 + 0.998553i \(0.482876\pi\)
\(420\) −9.77621e6 1.05362e7i −0.131954 0.142213i
\(421\) 478524. + 3.17480e6i 0.00641294 + 0.0425471i 0.991808 0.127734i \(-0.0407704\pi\)
−0.985395 + 0.170281i \(0.945532\pi\)
\(422\) −1.10744e6 + 4.85200e6i −0.0147361 + 0.0645629i
\(423\) 2.18861e7 3.79079e7i 0.289166 0.500851i
\(424\) −9.00906e6 + 5.20138e6i −0.118190 + 0.0682372i
\(425\) 1.52653e7 4.70873e6i 0.198856 0.0613391i
\(426\) −8.68531e6 6.92630e6i −0.112346 0.0895927i
\(427\) 1.40422e6 + 1.87380e7i 0.0180364 + 0.240679i
\(428\) −7.71614e7 + 3.71590e7i −0.984167 + 0.473950i
\(429\) 1.13494e8i 1.43747i
\(430\) −1.78600e7 + 2.47710e6i −0.224634 + 0.0311557i
\(431\) −2.61158e7 −0.326190 −0.163095 0.986610i \(-0.552148\pi\)
−0.163095 + 0.986610i \(0.552148\pi\)
\(432\) 3.29789e7 + 6.84814e7i 0.409058 + 0.849418i
\(433\) −3.58128e6 + 268380.i −0.0441138 + 0.00330587i −0.0967687 0.995307i \(-0.530851\pi\)
0.0526549 + 0.998613i \(0.483232\pi\)
\(434\) 4.01256e6 5.03159e6i 0.0490854 0.0615511i
\(435\) −3.44614e7 1.11721e8i −0.418663 1.35727i
\(436\) −3.65453e7 6.32984e7i −0.440933 0.763718i
\(437\) −3.60940e7 2.08389e7i −0.432505 0.249707i
\(438\) 1.04010e7 + 2.37397e6i 0.123781 + 0.0282522i
\(439\) 1.01990e8 1.53726e7i 1.20550 0.181699i 0.484595 0.874738i \(-0.338967\pi\)
0.720900 + 0.693039i \(0.243729\pi\)
\(440\) 2.99786e7 2.78161e7i 0.351928 0.326541i
\(441\) 2.22957e7 + 2.79579e7i 0.259959 + 0.325978i
\(442\) −1.66418e7 + 2.44091e7i −0.192723 + 0.282673i
\(443\) 6.58247e7 + 6.10764e7i 0.757143 + 0.702526i 0.961023 0.276470i \(-0.0891646\pi\)
−0.203880 + 0.978996i \(0.565355\pi\)
\(444\) −4.80711e6 + 6.41464e7i −0.0549206 + 0.732864i
\(445\) 8.32529e6 + 2.12125e7i 0.0944755 + 0.240720i
\(446\) 4.10675e6 + 1.79928e7i 0.0462907 + 0.202813i
\(447\) −1.01375e7 3.12701e6i −0.113503 0.0350111i
\(448\) −9.40835e6 1.37995e7i −0.104636 0.153472i
\(449\) 3.05005e6 2.02358e7i 0.0336952 0.223553i −0.965645 0.259864i \(-0.916322\pi\)
0.999341 + 0.0363104i \(0.0115605\pi\)
\(450\) −1.71699e6 673869.i −0.0188421 0.00739499i
\(451\) −1.26909e8 6.11162e7i −1.38345 0.666234i
\(452\) 1.28674e7 2.67194e7i 0.139340 0.289342i
\(453\) −2.13412e7 + 5.43764e7i −0.229574 + 0.584946i
\(454\) 2.79807e7 + 4.21741e6i 0.299014 + 0.0450690i
\(455\) 3.76700e7 2.56829e7i 0.399909 0.272653i
\(456\) −1.20208e7 + 3.89705e7i −0.126777 + 0.411000i
\(457\) −1.28250e8 + 2.92723e7i −1.34372 + 0.306696i −0.833106 0.553113i \(-0.813440\pi\)
−0.510616 + 0.859809i \(0.670583\pi\)
\(458\) −7.21041e6 + 2.82988e6i −0.0750522 + 0.0294558i
\(459\) 9.71602e7 + 7.28115e6i 1.00473 + 0.0752943i
\(460\) −2.43876e7 + 2.62836e7i −0.250551 + 0.270030i
\(461\) 1.12172e8 + 7.64778e7i 1.14494 + 0.780607i 0.978663 0.205472i \(-0.0658729\pi\)
0.166277 + 0.986079i \(0.446825\pi\)
\(462\) −3.13197e6 + 2.49767e6i −0.0317609 + 0.0253284i
\(463\) −3.52066e7 3.79437e7i −0.354717 0.382294i 0.530334 0.847789i \(-0.322067\pi\)
−0.885050 + 0.465495i \(0.845876\pi\)
\(464\) −2.24537e7 1.48970e8i −0.224767 1.49123i
\(465\) 2.88334e7 1.26327e8i 0.286772 1.25643i
\(466\) −2.11787e6 + 3.66826e6i −0.0209287 + 0.0362495i
\(467\) 8.68127e6 5.01213e6i 0.0852379 0.0492121i −0.456775 0.889582i \(-0.650996\pi\)
0.542013 + 0.840370i \(0.317662\pi\)
\(468\) −7.42102e7 + 2.28908e7i −0.723979 + 0.223318i
\(469\) 2.32455e6 + 1.85377e6i 0.0225331 + 0.0179696i
\(470\) −2.29344e6 3.06038e7i −0.0220899 0.294769i
\(471\) 1.85497e7 8.93305e6i 0.177531 0.0854943i
\(472\) 1.55790e7i 0.148154i
\(473\) −7.20542e6 1.14190e8i −0.0680888 1.07906i
\(474\) −2.29069e7 −0.215096
\(475\) 1.48497e7 + 3.08357e7i 0.138559 + 0.287722i
\(476\) −2.36746e7 + 1.77417e6i −0.219514 + 0.0164503i
\(477\) −1.02030e7 + 1.27941e7i −0.0940094 + 0.117884i
\(478\) −5.40912e6 1.75360e7i −0.0495271 0.160563i
\(479\) 6.16687e7 + 1.06813e8i 0.561123 + 0.971894i 0.997399 + 0.0720809i \(0.0229640\pi\)
−0.436276 + 0.899813i \(0.643703\pi\)
\(480\) 4.59029e7 + 2.65020e7i 0.415065 + 0.239638i
\(481\) −1.98930e8 4.54044e7i −1.78758 0.408002i
\(482\) −278862. + 42031.7i −0.00249028 + 0.000375349i
\(483\) 5.26233e6 4.88273e6i 0.0467021 0.0433332i
\(484\) 1.14448e7 + 1.43514e7i 0.100942 + 0.126578i
\(485\) 6.88997e7 1.01057e8i 0.603938 0.885814i
\(486\) −1.39587e7 1.29518e7i −0.121601 0.112829i
\(487\) −5.83631e6 + 7.78802e7i −0.0505303 + 0.674279i 0.913219 + 0.407469i \(0.133589\pi\)
−0.963749 + 0.266810i \(0.914030\pi\)
\(488\) −1.67573e7 4.26969e7i −0.144193 0.367398i
\(489\) 1.25062e7 + 5.47934e7i 0.106955 + 0.468599i
\(490\) 2.39578e7 + 7.39002e6i 0.203638 + 0.0628141i
\(491\) −7.64618e7 1.12149e8i −0.645952 0.947438i −0.999926 0.0121823i \(-0.996122\pi\)
0.353974 0.935255i \(-0.384830\pi\)
\(492\) 1.80108e7 1.19494e8i 0.151230 1.00335i
\(493\) −1.79767e8 7.05534e7i −1.50027 0.588813i
\(494\) −5.70238e7 2.74612e7i −0.473015 0.227792i
\(495\) 2.79125e7 5.79609e7i 0.230135 0.477880i
\(496\) 6.10000e7 1.55425e8i 0.499902 1.27373i
\(497\) 2.80018e7 + 4.22060e6i 0.228096 + 0.0343799i
\(498\) 4.51755e6 3.08001e6i 0.0365775 0.0249381i
\(499\) −3.13318e7 + 1.01575e8i −0.252164 + 0.817497i 0.737656 + 0.675177i \(0.235933\pi\)
−0.989821 + 0.142321i \(0.954544\pi\)
\(500\) −1.00364e8 + 2.29073e7i −0.802909 + 0.183259i
\(501\) 3.90713e7 1.53344e7i 0.310703 0.121942i
\(502\) −5.41675e6 405929.i −0.0428181 0.00320877i
\(503\) 1.31752e8 1.41995e8i 1.03527 1.11576i 0.0420973 0.999114i \(-0.486596\pi\)
0.993174 0.116643i \(-0.0372135\pi\)
\(504\) 4.62918e6 + 3.15612e6i 0.0361586 + 0.0246525i
\(505\) 1.36071e8 1.08513e8i 1.05655 0.842571i
\(506\) 6.79710e6 + 7.32554e6i 0.0524653 + 0.0565442i
\(507\) 3.15448e7 + 2.09286e8i 0.242050 + 1.60589i
\(508\) −2.42282e7 + 1.06151e8i −0.184812 + 0.809715i
\(509\) −4.80627e7 + 8.32470e7i −0.364464 + 0.631270i −0.988690 0.149974i \(-0.952081\pi\)
0.624226 + 0.781244i \(0.285414\pi\)
\(510\) 1.81820e7 1.04974e7i 0.137067 0.0791356i
\(511\) −2.59872e7 + 8.01600e6i −0.194759 + 0.0600751i
\(512\) 9.02967e7 + 7.20092e7i 0.672763 + 0.536510i
\(513\) 1.55992e7 + 2.08156e8i 0.115544 + 1.54183i
\(514\) 1.76165e7 8.48367e6i 0.129727 0.0624733i
\(515\) 1.68325e8i 1.23233i
\(516\) 9.17907e7 3.47827e7i 0.668113 0.253171i
\(517\) 1.94745e8 1.40927
\(518\) 3.12489e6 + 6.48889e6i 0.0224825 + 0.0466854i
\(519\) −1.76424e8 + 1.32211e7i −1.26199 + 0.0945729i
\(520\) −6.93883e7 + 8.70101e7i −0.493487 + 0.618814i
\(521\) 3.95796e7 + 1.28314e8i 0.279871 + 0.907320i 0.980954 + 0.194240i \(0.0622240\pi\)
−0.701083 + 0.713080i \(0.747300\pi\)
\(522\) 1.11487e7 + 1.93101e7i 0.0783813 + 0.135760i
\(523\) 1.33332e8 + 7.69795e7i 0.932031 + 0.538108i 0.887453 0.460897i \(-0.152472\pi\)
0.0445778 + 0.999006i \(0.485806\pi\)
\(524\) −1.83367e8 4.18523e7i −1.27446 0.290888i
\(525\) −5.82914e6 + 878601.i −0.0402834 + 0.00607175i
\(526\) −6.09704e6 + 5.65723e6i −0.0418950 + 0.0388729i
\(527\) −1.33445e8 1.67335e8i −0.911739 1.14328i
\(528\) −5.85463e7 + 8.58717e7i −0.397739 + 0.583375i
\(529\) 9.53906e7 + 8.85096e7i 0.644375 + 0.597893i
\(530\) −857403. + 1.14413e7i −0.00575914 + 0.0768504i
\(531\) −8.95335e6 2.28128e7i −0.0598001 0.152368i
\(532\) −1.13180e7 4.95876e7i −0.0751686 0.329335i
\(533\) 3.66292e8 + 1.12986e8i 2.41905 + 0.746179i
\(534\) 3.06939e6 + 4.50197e6i 0.0201571 + 0.0295650i
\(535\) −2.87743e7 + 1.90905e8i −0.187907 + 1.24668i
\(536\) −6.75592e6 2.65150e6i −0.0438723 0.0172186i
\(537\) 5.61161e7 + 2.70241e7i 0.362380 + 0.174513i
\(538\) 2.61805e7 5.43644e7i 0.168125 0.349115i
\(539\) −5.81241e7 + 1.48098e8i −0.371185 + 0.945763i
\(540\) 1.77572e8 + 2.67646e7i 1.12770 + 0.169973i
\(541\) −1.69060e8 + 1.15263e8i −1.06770 + 0.727943i −0.963795 0.266644i \(-0.914085\pi\)
−0.103902 + 0.994588i \(0.533133\pi\)
\(542\) −469018. + 1.52052e6i −0.00294572 + 0.00954979i
\(543\) −2.11859e8 + 4.83555e7i −1.32327 + 0.302028i
\(544\) 8.14982e7 3.19857e7i 0.506234 0.198682i
\(545\) −1.64305e8 1.23130e7i −1.01499 0.0760630i
\(546\) 7.41488e6 7.99135e6i 0.0455540 0.0490955i
\(547\) 8.27289e6 + 5.64036e6i 0.0505470 + 0.0344624i 0.588330 0.808621i \(-0.299786\pi\)
−0.537783 + 0.843083i \(0.680738\pi\)
\(548\) −1.07191e8 + 8.54820e7i −0.651353 + 0.519437i
\(549\) −4.90764e7 5.28918e7i −0.296590 0.319648i
\(550\) −1.22307e6 8.11457e6i −0.00735131 0.0487728i
\(551\) 9.20643e7 4.03360e8i 0.550347 2.41123i
\(552\) −8.76154e6 + 1.51754e7i −0.0520911 + 0.0902244i
\(553\) 5.05696e7 2.91964e7i 0.299029 0.172645i
\(554\) 5.31312e7 1.63888e7i 0.312478 0.0963868i
\(555\) 1.13372e8 + 9.04114e7i 0.663175 + 0.528864i
\(556\) 8.15416e6 + 1.08810e8i 0.0474411 + 0.633058i
\(557\) −1.68553e8 + 8.11706e7i −0.975371 + 0.469714i −0.852510 0.522710i \(-0.824921\pi\)
−0.122860 + 0.992424i \(0.539207\pi\)
\(558\) 2.47120e7i 0.142234i
\(559\) 6.57040e7 + 3.04356e8i 0.376146 + 1.74239i
\(560\) −4.17506e7 −0.237738
\(561\) 5.78042e7 + 1.20032e8i 0.327394 + 0.679841i
\(562\) 1.32421e7 992359.i 0.0746016 0.00559062i
\(563\) 7.34549e7 9.21095e7i 0.411619 0.516154i −0.532199 0.846619i \(-0.678634\pi\)
0.943818 + 0.330465i \(0.107206\pi\)
\(564\) 4.92457e7 + 1.59651e8i 0.274493 + 0.889885i
\(565\) −3.34266e7 5.78966e7i −0.185330 0.321002i
\(566\) −4.44196e7 2.56457e7i −0.244977 0.141438i
\(567\) −1.56870e7 3.58045e6i −0.0860577 0.0196421i
\(568\) −6.83524e7 + 1.03025e7i −0.373000 + 0.0562207i
\(569\) −1.41288e6 + 1.31097e6i −0.00766955 + 0.00711630i −0.683998 0.729484i \(-0.739760\pi\)
0.676329 + 0.736600i \(0.263570\pi\)
\(570\) 2.80442e7 + 3.51663e7i 0.151432 + 0.189890i
\(571\) 1.30602e8 1.91558e8i 0.701524 1.02895i −0.295758 0.955263i \(-0.595572\pi\)
0.997282 0.0736833i \(-0.0234754\pi\)
\(572\) −2.53280e8 2.35010e8i −1.35336 1.25573i
\(573\) 1.10968e7 1.48076e8i 0.0589839 0.787085i
\(574\) −4.94305e6 1.25947e7i −0.0261372 0.0665966i
\(575\) 3.27230e6 + 1.43369e7i 0.0172127 + 0.0754138i
\(576\) 6.12827e7 + 1.89032e7i 0.320679 + 0.0989163i
\(577\) 4.56855e7 + 6.70084e7i 0.237822 + 0.348820i 0.926532 0.376217i \(-0.122775\pi\)
−0.688710 + 0.725037i \(0.741823\pi\)
\(578\) −734793. + 4.87503e6i −0.00380523 + 0.0252461i
\(579\) 6.02345e7 + 2.36403e7i 0.310320 + 0.121792i
\(580\) −3.20683e8 1.54433e8i −1.64359 0.791509i
\(581\) −6.04731e6 + 1.25574e7i −0.0308343 + 0.0640281i
\(582\) 1.06846e7 2.72238e7i 0.0541985 0.138096i
\(583\) −7.19922e7 1.08511e7i −0.363312 0.0547605i
\(584\) 5.48490e7 3.73954e7i 0.275379 0.187750i
\(585\) −5.16020e7 + 1.67290e8i −0.257750 + 0.835606i
\(586\) 2.20658e7 5.03638e6i 0.109655 0.0250280i
\(587\) 1.99611e8 7.83414e7i 0.986892 0.387326i 0.183658 0.982990i \(-0.441206\pi\)
0.803234 + 0.595664i \(0.203111\pi\)
\(588\) −1.36108e8 1.01999e7i −0.669501 0.0501722i
\(589\) 3.11884e8 3.36131e8i 1.52633 1.64499i
\(590\) −1.41966e7 9.67910e6i −0.0691241 0.0471280i
\(591\) 3.27649e7 2.61291e7i 0.158725 0.126579i
\(592\) 1.27092e8 + 1.36973e8i 0.612568 + 0.660191i
\(593\) −4.71722e7 3.12967e8i −0.226215 1.50084i −0.757046 0.653362i \(-0.773358\pi\)
0.530830 0.847478i \(-0.321880\pi\)
\(594\) 1.11372e7 4.87953e7i 0.0531395 0.232819i
\(595\) −2.67593e7 + 4.63484e7i −0.127035 + 0.220031i
\(596\) −2.79701e7 + 1.61485e7i −0.132116 + 0.0762771i
\(597\) 1.22415e8 3.77600e7i 0.575323 0.177464i
\(598\) −2.12617e7 1.69556e7i −0.0994247 0.0792886i
\(599\) 2.93196e7 + 3.91243e8i 0.136420 + 1.82040i 0.475584 + 0.879670i \(0.342237\pi\)
−0.339165 + 0.940727i \(0.610144\pi\)
\(600\) 1.29646e7 6.24342e6i 0.0600213 0.0289047i
\(601\) 2.25316e8i 1.03793i −0.854795 0.518966i \(-0.826317\pi\)
0.854795 0.518966i \(-0.173683\pi\)
\(602\) 6.95306e6 8.51116e6i 0.0318703 0.0390121i
\(603\) −1.14167e7 −0.0520703
\(604\) 7.71592e7 + 1.60223e8i 0.350169 + 0.727133i
\(605\) 4.12638e7 3.09230e6i 0.186339 0.0139642i
\(606\) 2.59463e7 3.25357e7i 0.116589 0.146198i
\(607\) −2.81193e7 9.11605e7i −0.125730 0.407606i 0.870722 0.491776i \(-0.163652\pi\)
−0.996451 + 0.0841703i \(0.973176\pi\)
\(608\) 9.37839e7 + 1.62439e8i 0.417271 + 0.722734i
\(609\) 6.17149e7 + 3.56311e7i 0.273236 + 0.157753i
\(610\) −4.93195e7 1.12569e7i −0.217285 0.0495938i
\(611\) −5.24044e8 + 7.89869e7i −2.29744 + 0.346283i
\(612\) 6.68266e7 6.20061e7i 0.291538 0.270508i
\(613\) 1.02211e8 + 1.28168e8i 0.443726 + 0.556414i 0.952521 0.304473i \(-0.0984804\pi\)
−0.508795 + 0.860888i \(0.669909\pi\)
\(614\) −7.33358e6 + 1.07564e7i −0.0316819 + 0.0464688i
\(615\) −1.99694e8 1.85289e8i −0.858498 0.796569i
\(616\) −1.86277e6 + 2.48570e7i −0.00796926 + 0.106342i
\(617\) 9.60411e7 + 2.44709e8i 0.408886 + 1.04182i 0.975920 + 0.218129i \(0.0699954\pi\)
−0.567034 + 0.823694i \(0.691909\pi\)
\(618\) −8.95601e6 3.92388e7i −0.0379445 0.166246i
\(619\) 4.68454e7 + 1.44499e7i 0.197513 + 0.0609246i 0.391933 0.919994i \(-0.371806\pi\)
−0.194421 + 0.980918i \(0.562283\pi\)
\(620\) −2.22216e8 3.25931e8i −0.932395 1.36757i
\(621\) −1.33676e7 + 8.86882e7i −0.0558186 + 0.370332i
\(622\) −2.08725e7 8.19184e6i −0.0867367 0.0340416i
\(623\) −1.25141e7 6.02646e6i −0.0517529 0.0249229i
\(624\) 1.22715e8 2.54820e8i 0.505061 1.04877i
\(625\) −1.04620e8 + 2.66567e8i −0.428523 + 1.09186i
\(626\) −4.73826e7 7.14178e6i −0.193151 0.0291128i
\(627\) −2.35827e8 + 1.60784e8i −0.956731 + 0.652288i
\(628\) 1.84749e7 5.98943e7i 0.0745940 0.241828i
\(629\) 2.33515e8 5.32982e7i 0.938345 0.214171i
\(630\) 5.75214e6 2.25755e6i 0.0230042 0.00902850i
\(631\) −1.62232e8 1.21576e7i −0.645724 0.0483903i −0.252157 0.967686i \(-0.581140\pi\)
−0.393567 + 0.919296i \(0.628759\pi\)
\(632\) −9.69494e7 + 1.04487e8i −0.384055 + 0.413913i
\(633\) −5.04631e7 3.44052e7i −0.198959 0.135648i
\(634\) −8.18442e6 + 6.52685e6i −0.0321159 + 0.0256116i
\(635\) 1.66946e8 + 1.79925e8i 0.652010 + 0.702699i
\(636\) −9.30925e6 6.17628e7i −0.0361862 0.240080i
\(637\) 9.63405e7 4.22095e8i 0.372727 1.63302i
\(638\) −4.96010e7 + 8.59115e7i −0.190998 + 0.330818i
\(639\) −9.41696e7 + 5.43688e7i −0.360918 + 0.208376i
\(640\) 2.03933e8 6.29051e7i 0.777944 0.239964i
\(641\) −3.20254e8 2.55394e8i −1.21596 0.969698i −0.215985 0.976397i \(-0.569296\pi\)
−0.999978 + 0.00669884i \(0.997868\pi\)
\(642\) 3.44974e6 + 4.60336e7i 0.0130371 + 0.173968i
\(643\) 1.83194e8 8.82214e7i 0.689092 0.331849i −0.0563581 0.998411i \(-0.517949\pi\)
0.745450 + 0.666561i \(0.232235\pi\)
\(644\) 2.18544e7i 0.0818241i
\(645\) 5.17777e7 2.15135e8i 0.192958 0.801739i
\(646\) 7.42953e7 0.275590
\(647\) −1.09092e8 2.26532e8i −0.402791 0.836405i −0.999426 0.0338914i \(-0.989210\pi\)
0.596634 0.802513i \(-0.296504\pi\)
\(648\) 3.91667e7 2.93514e6i 0.143944 0.0107871i
\(649\) 6.79803e7 8.52446e7i 0.248685 0.311841i
\(650\) 6.58241e6 + 2.13397e7i 0.0239687 + 0.0777047i
\(651\) 3.94896e7 + 6.83980e7i 0.143133 + 0.247914i
\(652\) 1.48177e8 + 8.55502e7i 0.534612 + 0.308658i
\(653\) 5.53672e7 + 1.26372e7i 0.198844 + 0.0453849i 0.320783 0.947153i \(-0.396054\pi\)
−0.121939 + 0.992538i \(0.538911\pi\)
\(654\) −3.89569e7 + 5.87181e6i −0.139268 + 0.0209913i
\(655\) −3.10805e8 + 2.88385e8i −1.10602 + 1.02624i
\(656\) −2.18859e8 2.74441e8i −0.775272 0.972160i
\(657\) 5.88257e7 8.62814e7i 0.207430 0.304243i
\(658\) 1.37124e7 + 1.27233e7i 0.0481323 + 0.0446602i
\(659\) −6.01466e6 + 8.02601e7i −0.0210162 + 0.280442i 0.976788 + 0.214209i \(0.0687173\pi\)
−0.997804 + 0.0662336i \(0.978902\pi\)
\(660\) 8.97081e7 + 2.28572e8i 0.312032 + 0.795046i
\(661\) 4.53663e7 + 1.98763e8i 0.157083 + 0.688225i 0.990721 + 0.135913i \(0.0433969\pi\)
−0.833638 + 0.552311i \(0.813746\pi\)
\(662\) −2.25072e6 694256.i −0.00775796 0.00239301i
\(663\) −2.04231e8 2.99552e8i −0.700779 1.02785i
\(664\) 5.07068e6 3.36417e7i 0.0173205 0.114914i
\(665\) −1.06732e8 4.18894e7i −0.362937 0.142442i
\(666\) −2.49165e7 1.19991e7i −0.0843458 0.0406188i
\(667\) 7.71316e7 1.60165e8i 0.259929 0.539748i
\(668\) 4.66833e7 1.18947e8i 0.156614 0.399047i
\(669\) −2.23960e8 3.37565e7i −0.747983 0.112740i
\(670\) −6.61364e6 + 4.50910e6i −0.0219895 + 0.0149922i
\(671\) 9.46198e7 3.06750e8i 0.313195 1.01535i
\(672\) −3.14970e7 + 7.18899e6i −0.103792 + 0.0236897i
\(673\) 2.85748e8 1.12148e8i 0.937428 0.367913i 0.153065 0.988216i \(-0.451086\pi\)
0.784362 + 0.620303i \(0.212990\pi\)
\(674\) 4.26253e7 + 3.19432e6i 0.139215 + 0.0104328i
\(675\) 5.00959e7 5.39905e7i 0.162889 0.175552i
\(676\) 5.32377e8 + 3.62969e8i 1.72337 + 1.17498i
\(677\) 1.77969e8 1.41926e8i 0.573559 0.457398i −0.293252 0.956035i \(-0.594737\pi\)
0.866811 + 0.498637i \(0.166166\pi\)
\(678\) −1.08727e7 1.17180e7i −0.0348857 0.0375979i
\(679\) 1.11112e7 + 7.37178e7i 0.0354936 + 0.235485i
\(680\) 2.90698e7 1.27363e8i 0.0924519 0.405058i
\(681\) −1.73631e8 + 3.00738e8i −0.549776 + 0.952240i
\(682\) −9.52148e7 + 5.49723e7i −0.300159 + 0.173297i
\(683\) −2.03925e8 + 6.29024e7i −0.640041 + 0.197426i −0.597755 0.801679i \(-0.703940\pi\)
−0.0422860 + 0.999106i \(0.513464\pi\)
\(684\) 1.52696e8 + 1.21771e8i 0.477156 + 0.380519i
\(685\) 2.30965e7 + 3.08201e8i 0.0718578 + 0.958876i
\(686\) −2.84204e7 + 1.36866e7i −0.0880355 + 0.0423957i
\(687\) 9.50583e7i 0.293170i
\(688\) 1.07291e8 2.64176e8i 0.329455 0.811200i
\(689\) 1.98127e8 0.605740
\(690\) 8.38542e6 + 1.74125e7i 0.0255257 + 0.0530047i
\(691\) −9.03272e7 + 6.76909e6i −0.273769 + 0.0205162i −0.210907 0.977506i \(-0.567642\pi\)
−0.0628618 + 0.998022i \(0.520023\pi\)
\(692\) −3.35813e8 + 4.21097e8i −1.01340 + 1.27076i
\(693\) 1.15578e7 + 3.74694e7i 0.0347276 + 0.112584i
\(694\) −4.15820e7 7.20221e7i −0.124402 0.215470i
\(695\) 2.13020e8 + 1.22987e8i 0.634549 + 0.366357i
\(696\) −1.69590e8 3.87077e7i −0.503004 0.114807i
\(697\) −4.44938e8 + 6.70637e7i −1.31402 + 0.198056i
\(698\) 2.46224e7 2.28463e7i 0.0724043 0.0671814i
\(699\) −3.24100e7 4.06409e7i −0.0948960 0.118996i
\(700\) −1.01096e7 + 1.48280e7i −0.0294740 + 0.0432304i
\(701\) 1.57544e8 + 1.46179e8i 0.457349 + 0.424358i 0.874906 0.484293i \(-0.160923\pi\)
−0.417557 + 0.908651i \(0.637114\pi\)
\(702\) −1.01784e7 + 1.35822e8i −0.0294218 + 0.392607i
\(703\) 1.87474e8 + 4.77676e8i 0.539604 + 1.37489i
\(704\) 6.34909e7 + 2.78172e8i 0.181967 + 0.797251i
\(705\) 3.59895e8 + 1.11013e8i 1.02709 + 0.316816i
\(706\) 6.31571e7 + 9.26345e7i 0.179477 + 0.263244i
\(707\) −1.58106e7 + 1.04897e8i −0.0447394 + 0.296827i
\(708\) 8.70735e7 + 3.41738e7i 0.245350 + 0.0962929i
\(709\) −5.80718e8 2.79659e8i −1.62940 0.784676i −0.999971 0.00761589i \(-0.997576\pi\)
−0.629426 0.777060i \(-0.716710\pi\)
\(710\) −3.30785e7 + 6.86882e7i −0.0924210 + 0.191914i
\(711\) −8.19167e7 + 2.08720e8i −0.227910 + 0.580706i
\(712\) 3.35257e7 + 5.05319e6i 0.0928834 + 0.0139999i
\(713\) 1.62786e8 1.10986e8i 0.449106 0.306196i
\(714\) −3.77191e6 + 1.22282e7i −0.0103626 + 0.0335946i
\(715\) −7.59354e8 + 1.73318e8i −2.07743 + 0.474159i
\(716\) 1.76508e8 6.92741e7i 0.480866 0.188726i
\(717\) 2.24580e8 + 1.68299e7i 0.609274 + 0.0456588i
\(718\) 6.13643e7 6.61350e7i 0.165784 0.178673i
\(719\) 4.20069e8 + 2.86398e8i 1.13015 + 0.770520i 0.976052 0.217537i \(-0.0698021\pi\)
0.154093 + 0.988056i \(0.450754\pi\)
\(720\) 1.25340e8 9.99557e7i 0.335810 0.267800i
\(721\) 6.97839e7 + 7.52091e7i 0.186187 + 0.200662i
\(722\) 1.22170e7 + 8.10548e7i 0.0324605 + 0.215361i
\(723\) 770121. 3.37412e6i 0.00203772 0.00892782i
\(724\) −3.30781e8 + 5.72929e8i −0.871615 + 1.50968i
\(725\) −1.26424e8 + 7.29907e7i −0.331753 + 0.191537i
\(726\) 9.45464e6 2.91637e6i 0.0247079 0.00762137i
\(727\) 1.44387e8 + 1.15145e8i 0.375772 + 0.299668i 0.793104 0.609086i \(-0.208463\pi\)
−0.417332 + 0.908754i \(0.637035\pi\)
\(728\) −5.06921e6 6.76439e7i −0.0131385 0.175321i
\(729\) 3.36001e8 1.61809e8i 0.867277 0.417658i
\(730\) 7.32157e7i 0.188207i
\(731\) −2.24503e8 2.88425e8i −0.574737 0.738381i
\(732\) 2.75399e8 0.702148
\(733\) −2.32560e8 4.82917e8i −0.590505 1.22620i −0.955446 0.295166i \(-0.904625\pi\)
0.364941 0.931031i \(-0.381089\pi\)
\(734\) −332213. + 24896.0i −0.000840096 + 6.29565e-5i
\(735\) −1.91838e8 + 2.40557e8i −0.483139 + 0.605837i
\(736\) 2.37552e7 + 7.70124e7i 0.0595833 + 0.193164i
\(737\) −2.53968e7 4.39885e7i −0.0634419 0.109885i
\(738\) 4.49928e7 + 2.59766e7i 0.111937 + 0.0646269i
\(739\) −6.27929e8 1.43321e8i −1.55588 0.355120i −0.643823 0.765175i \(-0.722653\pi\)
−0.912061 + 0.410054i \(0.865510\pi\)
\(740\) 4.36527e8 6.57958e7i 1.07725 0.162369i
\(741\) 5.69380e8 5.28307e8i 1.39942 1.29847i
\(742\) −4.36020e6 5.46752e6i −0.0106732 0.0133838i
\(743\) −2.67670e8 + 3.92600e8i −0.652579 + 0.957158i 0.347233 + 0.937779i \(0.387121\pi\)
−0.999812 + 0.0193790i \(0.993831\pi\)
\(744\) −1.41324e8 1.31129e8i −0.343159 0.318405i
\(745\) −5.44081e6 + 7.26025e7i −0.0131581 + 0.175583i
\(746\) 2.36654e7 + 6.02985e7i 0.0570030 + 0.145241i
\(747\) −1.19090e7 5.21768e7i −0.0285702 0.125174i
\(748\) 3.87566e8 + 1.19548e8i 0.926063 + 0.285652i
\(749\) −6.62886e7 9.72275e7i −0.157759 0.231389i
\(750\) −8.27016e6 + 5.48690e7i −0.0196034 + 0.130060i
\(751\) 6.07767e8 + 2.38531e8i 1.43489 + 0.563151i 0.950229 0.311553i \(-0.100849\pi\)
0.484657 + 0.874704i \(0.338944\pi\)
\(752\) 4.37249e8 + 2.10568e8i 1.02819 + 0.495152i
\(753\) 2.89234e7 6.00600e7i 0.0677429 0.140670i