Properties

Label 21.7.f.a.10.4
Level $21$
Weight $7$
Character 21.10
Analytic conductor $4.831$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 212 x^{6} + 473 x^{5} + 39800 x^{4} + 36821 x^{3} + 985651 x^{2} - 601290 x + 21068100\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{2}\cdot 3\cdot 7 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 10.4
Root \(-6.30797 - 10.9257i\) of defining polynomial
Character \(\chi\) \(=\) 21.10
Dual form 21.7.f.a.19.4

$q$-expansion

\(f(q)\) \(=\) \(q+(5.80797 + 10.0597i) q^{2} +(-13.5000 - 7.79423i) q^{3} +(-35.4650 + 61.4271i) q^{4} +(-165.302 + 95.4373i) q^{5} -181.074i q^{6} +(-103.254 + 327.089i) q^{7} -80.4975 q^{8} +(121.500 + 210.444i) q^{9} +O(q^{10})\) \(q+(5.80797 + 10.0597i) q^{2} +(-13.5000 - 7.79423i) q^{3} +(-35.4650 + 61.4271i) q^{4} +(-165.302 + 95.4373i) q^{5} -181.074i q^{6} +(-103.254 + 327.089i) q^{7} -80.4975 q^{8} +(121.500 + 210.444i) q^{9} +(-1920.14 - 1108.59i) q^{10} +(1027.55 - 1779.77i) q^{11} +(957.554 - 552.844i) q^{12} +3059.97i q^{13} +(-3890.12 + 861.018i) q^{14} +2975.44 q^{15} +(1802.23 + 3121.55i) q^{16} +(2468.38 + 1425.12i) q^{17} +(-1411.34 + 2444.51i) q^{18} +(-3420.04 + 1974.56i) q^{19} -13538.7i q^{20} +(3943.34 - 3610.92i) q^{21} +23872.0 q^{22} +(-330.272 - 572.047i) q^{23} +(1086.72 + 627.416i) q^{24} +(10404.0 - 18020.3i) q^{25} +(-30782.3 + 17772.2i) q^{26} -3788.00i q^{27} +(-16430.3 - 17942.8i) q^{28} -9282.66 q^{29} +(17281.3 + 29932.0i) q^{30} +(2426.36 + 1400.86i) q^{31} +(-23510.5 + 40721.4i) q^{32} +(-27743.9 + 16018.0i) q^{33} +33108.2i q^{34} +(-14148.4 - 63922.9i) q^{35} -17236.0 q^{36} +(18466.2 + 31984.5i) q^{37} +(-39727.0 - 22936.4i) q^{38} +(23850.1 - 41309.5i) q^{39} +(13306.4 - 7682.46i) q^{40} -67941.3i q^{41} +(59227.6 + 18696.7i) q^{42} +12336.3 q^{43} +(72884.2 + 126239. i) q^{44} +(-40168.4 - 23191.3i) q^{45} +(3836.41 - 6644.86i) q^{46} +(127836. - 73806.3i) q^{47} -56188.0i q^{48} +(-96326.1 - 67546.8i) q^{49} +241705. q^{50} +(-22215.4 - 38478.3i) q^{51} +(-187965. - 108522. i) q^{52} +(-109818. + 190210. i) q^{53} +(38106.1 - 22000.6i) q^{54} +392267. i q^{55} +(8311.72 - 26329.9i) q^{56} +61560.8 q^{57} +(-53913.4 - 93380.8i) q^{58} +(166725. + 96258.8i) q^{59} +(-105524. + 182773. i) q^{60} +(288244. - 166418. i) q^{61} +32544.5i q^{62} +(-81379.5 + 18012.1i) q^{63} -315508. q^{64} +(-292035. - 505819. i) q^{65} +(-322271. - 186063. i) q^{66} +(-174592. + 302402. i) q^{67} +(-175082. + 101084. i) q^{68} +10296.9i q^{69} +(560872. - 513590. i) q^{70} +305650. q^{71} +(-9780.45 - 16940.2i) q^{72} +(-204814. - 118249. i) q^{73} +(-214503. + 371529. i) q^{74} +(-280909. + 162183. i) q^{75} -280111. i q^{76} +(476046. + 519871. i) q^{77} +554082. q^{78} +(293218. + 507869. i) q^{79} +(-595825. - 344000. i) q^{80} +(-29524.5 + 51137.9i) q^{81} +(683468. - 394601. i) q^{82} +106377. i q^{83} +(81957.9 + 370289. i) q^{84} -544039. q^{85} +(71648.8 + 124099. i) q^{86} +(125316. + 72351.2i) q^{87} +(-82715.4 + 143267. i) q^{88} +(11308.5 - 6528.95i) q^{89} -538776. i q^{90} +(-1.00088e6 - 315955. i) q^{91} +46852.3 q^{92} +(-21837.2 - 37823.2i) q^{93} +(1.48494e6 + 857329. i) q^{94} +(376894. - 652799. i) q^{95} +(634784. - 366493. i) q^{96} +205209. i q^{97} +(120042. - 1.36132e6i) q^{98} +499390. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 5q^{2} - 108q^{3} - 173q^{4} - 294q^{5} - 656q^{7} + 3326q^{8} + 972q^{9} + O(q^{10}) \) \( 8q - 5q^{2} - 108q^{3} - 173q^{4} - 294q^{5} - 656q^{7} + 3326q^{8} + 972q^{9} - 3411q^{10} - 314q^{11} + 4671q^{12} - 5360q^{14} + 5292q^{15} - 12721q^{16} - 5532q^{17} + 1215q^{18} - 18234q^{19} + 9342q^{21} + 86106q^{22} + 3928q^{23} - 44901q^{24} - 17038q^{25} + 12366q^{26} + 85037q^{28} - 8300q^{29} + 30699q^{30} - 89508q^{31} - 186207q^{32} + 8478q^{33} - 25860q^{35} - 84078q^{36} + 64706q^{37} - 77136q^{38} + 29106q^{39} + 221823q^{40} + 173583q^{42} + 45740q^{43} + 92529q^{44} - 71442q^{45} - 111504q^{46} + 483276q^{47} - 310684q^{49} + 967216q^{50} + 49788q^{51} - 1673988q^{52} - 540974q^{53} - 32805q^{54} - 241885q^{56} + 328212q^{57} + 539799q^{58} - 181770q^{59} - 146367q^{60} + 418224q^{61} - 92826q^{63} + 2378626q^{64} - 414204q^{65} - 1162431q^{66} - 1158902q^{67} - 821250q^{68} + 1087917q^{70} + 1442344q^{71} + 404109q^{72} - 378666q^{73} - 432940q^{74} + 460026q^{75} + 1065994q^{77} - 222588q^{78} + 611452q^{79} - 2094945q^{80} - 236196q^{81} - 1561266q^{82} - 1579716q^{84} - 275112q^{85} + 816224q^{86} + 112050q^{87} - 366441q^{88} - 989196q^{89} + 304446q^{91} + 678720q^{92} + 805572q^{93} - 716148q^{94} - 591792q^{95} + 5027589q^{96} + 3509629q^{98} - 152604q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.80797 + 10.0597i 0.725996 + 1.25746i 0.958563 + 0.284881i \(0.0919542\pi\)
−0.232567 + 0.972580i \(0.574712\pi\)
\(3\) −13.5000 7.79423i −0.500000 0.288675i
\(4\) −35.4650 + 61.4271i −0.554140 + 0.959799i
\(5\) −165.302 + 95.4373i −1.32242 + 0.763498i −0.984114 0.177539i \(-0.943186\pi\)
−0.338304 + 0.941037i \(0.609853\pi\)
\(6\) 181.074i 0.838308i
\(7\) −103.254 + 327.089i −0.301033 + 0.953614i
\(8\) −80.4975 −0.157222
\(9\) 121.500 + 210.444i 0.166667 + 0.288675i
\(10\) −1920.14 1108.59i −1.92014 1.10859i
\(11\) 1027.55 1779.77i 0.772015 1.33717i −0.164442 0.986387i \(-0.552582\pi\)
0.936457 0.350783i \(-0.114084\pi\)
\(12\) 957.554 552.844i 0.554140 0.319933i
\(13\) 3059.97i 1.39279i 0.717657 + 0.696396i \(0.245214\pi\)
−0.717657 + 0.696396i \(0.754786\pi\)
\(14\) −3890.12 + 861.018i −1.41768 + 0.313782i
\(15\) 2975.44 0.881612
\(16\) 1802.23 + 3121.55i 0.439998 + 0.762098i
\(17\) 2468.38 + 1425.12i 0.502419 + 0.290072i 0.729712 0.683755i \(-0.239654\pi\)
−0.227293 + 0.973826i \(0.572988\pi\)
\(18\) −1411.34 + 2444.51i −0.241999 + 0.419154i
\(19\) −3420.04 + 1974.56i −0.498622 + 0.287879i −0.728144 0.685424i \(-0.759617\pi\)
0.229523 + 0.973303i \(0.426284\pi\)
\(20\) 13538.7i 1.69234i
\(21\) 3943.34 3610.92i 0.425801 0.389906i
\(22\) 23872.0 2.24192
\(23\) −330.272 572.047i −0.0271449 0.0470163i 0.852134 0.523324i \(-0.175308\pi\)
−0.879279 + 0.476308i \(0.841975\pi\)
\(24\) 1086.72 + 627.416i 0.0786109 + 0.0453860i
\(25\) 10404.0 18020.3i 0.665859 1.15330i
\(26\) −30782.3 + 17772.2i −1.75138 + 1.01116i
\(27\) 3788.00i 0.192450i
\(28\) −16430.3 17942.8i −0.748463 0.817367i
\(29\) −9282.66 −0.380609 −0.190304 0.981725i \(-0.560947\pi\)
−0.190304 + 0.981725i \(0.560947\pi\)
\(30\) 17281.3 + 29932.0i 0.640046 + 1.10859i
\(31\) 2426.36 + 1400.86i 0.0814460 + 0.0470229i 0.540170 0.841556i \(-0.318360\pi\)
−0.458724 + 0.888579i \(0.651693\pi\)
\(32\) −23510.5 + 40721.4i −0.717484 + 1.24272i
\(33\) −27743.9 + 16018.0i −0.772015 + 0.445723i
\(34\) 33108.2i 0.842363i
\(35\) −14148.4 63922.9i −0.329991 1.49091i
\(36\) −17236.0 −0.369427
\(37\) 18466.2 + 31984.5i 0.364563 + 0.631442i 0.988706 0.149868i \(-0.0478849\pi\)
−0.624143 + 0.781310i \(0.714552\pi\)
\(38\) −39727.0 22936.4i −0.723994 0.417998i
\(39\) 23850.1 41309.5i 0.402065 0.696396i
\(40\) 13306.4 7682.46i 0.207913 0.120039i
\(41\) 67941.3i 0.985785i −0.870090 0.492892i \(-0.835940\pi\)
0.870090 0.492892i \(-0.164060\pi\)
\(42\) 59227.6 + 18696.7i 0.799422 + 0.252358i
\(43\) 12336.3 0.155160 0.0775799 0.996986i \(-0.475281\pi\)
0.0775799 + 0.996986i \(0.475281\pi\)
\(44\) 72884.2 + 126239.i 0.855609 + 1.48196i
\(45\) −40168.4 23191.3i −0.440806 0.254499i
\(46\) 3836.41 6644.86i 0.0394141 0.0682673i
\(47\) 127836. 73806.3i 1.23129 0.710886i 0.263991 0.964525i \(-0.414961\pi\)
0.967299 + 0.253639i \(0.0816277\pi\)
\(48\) 56188.0i 0.508066i
\(49\) −96326.1 67546.8i −0.818758 0.574139i
\(50\) 241705. 1.93364
\(51\) −22215.4 38478.3i −0.167473 0.290072i
\(52\) −187965. 108522.i −1.33680 0.771802i
\(53\) −109818. + 190210.i −0.737641 + 1.27763i 0.215914 + 0.976412i \(0.430727\pi\)
−0.953555 + 0.301219i \(0.902607\pi\)
\(54\) 38106.1 22000.6i 0.241999 0.139718i
\(55\) 392267.i 2.35773i
\(56\) 8311.72 26329.9i 0.0473290 0.149929i
\(57\) 61560.8 0.332414
\(58\) −53913.4 93380.8i −0.276320 0.478601i
\(59\) 166725. + 96258.8i 0.811792 + 0.468689i 0.847578 0.530671i \(-0.178060\pi\)
−0.0357855 + 0.999359i \(0.511393\pi\)
\(60\) −105524. + 182773.i −0.488536 + 0.846170i
\(61\) 288244. 166418.i 1.26990 0.733180i 0.294935 0.955517i \(-0.404702\pi\)
0.974970 + 0.222338i \(0.0713688\pi\)
\(62\) 32544.5i 0.136554i
\(63\) −81379.5 + 18012.1i −0.325457 + 0.0720348i
\(64\) −315508. −1.20357
\(65\) −292035. 505819.i −1.06339 1.84185i
\(66\) −322271. 186063.i −1.12096 0.647186i
\(67\) −174592. + 302402.i −0.580496 + 1.00545i 0.414924 + 0.909856i \(0.363808\pi\)
−0.995420 + 0.0955931i \(0.969525\pi\)
\(68\) −175082. + 101084.i −0.556821 + 0.321481i
\(69\) 10296.9i 0.0313442i
\(70\) 560872. 513590.i 1.63519 1.49735i
\(71\) 305650. 0.853984 0.426992 0.904255i \(-0.359573\pi\)
0.426992 + 0.904255i \(0.359573\pi\)
\(72\) −9780.45 16940.2i −0.0262036 0.0453860i
\(73\) −204814. 118249.i −0.526490 0.303969i 0.213096 0.977031i \(-0.431645\pi\)
−0.739586 + 0.673062i \(0.764979\pi\)
\(74\) −214503. + 371529.i −0.529343 + 0.916849i
\(75\) −280909. + 162183.i −0.665859 + 0.384434i
\(76\) 280111.i 0.638102i
\(77\) 476046. + 519871.i 1.04274 + 1.13874i
\(78\) 554082. 1.16759
\(79\) 293218. + 507869.i 0.594716 + 1.03008i 0.993587 + 0.113072i \(0.0360690\pi\)
−0.398871 + 0.917007i \(0.630598\pi\)
\(80\) −595825. 344000.i −1.16372 0.671875i
\(81\) −29524.5 + 51137.9i −0.0555556 + 0.0962250i
\(82\) 683468. 394601.i 1.23959 0.715675i
\(83\) 106377.i 0.186044i 0.995664 + 0.0930218i \(0.0296526\pi\)
−0.995664 + 0.0930218i \(0.970347\pi\)
\(84\) 81957.9 + 370289.i 0.138278 + 0.624746i
\(85\) −544039. −0.885876
\(86\) 71648.8 + 124099.i 0.112645 + 0.195108i
\(87\) 125316. + 72351.2i 0.190304 + 0.109872i
\(88\) −82715.4 + 143267.i −0.121378 + 0.210232i
\(89\) 11308.5 6528.95i 0.0160411 0.00926134i −0.491958 0.870619i \(-0.663719\pi\)
0.507999 + 0.861358i \(0.330385\pi\)
\(90\) 538776.i 0.739062i
\(91\) −1.00088e6 315955.i −1.32819 0.419277i
\(92\) 46852.3 0.0601682
\(93\) −21837.2 37823.2i −0.0271487 0.0470229i
\(94\) 1.48494e6 + 857329.i 1.78782 + 1.03220i
\(95\) 376894. 652799.i 0.439591 0.761393i
\(96\) 634784. 366493.i 0.717484 0.414240i
\(97\) 205209.i 0.224844i 0.993661 + 0.112422i \(0.0358609\pi\)
−0.993661 + 0.112422i \(0.964139\pi\)
\(98\) 120042. 1.36132e6i 0.127542 1.44638i
\(99\) 499390. 0.514677
\(100\) 737958. + 1.27818e6i 0.737958 + 1.27818i
\(101\) −1.21339e6 700549.i −1.17770 0.679946i −0.222220 0.974997i \(-0.571330\pi\)
−0.955482 + 0.295050i \(0.904664\pi\)
\(102\) 258053. 446961.i 0.243169 0.421182i
\(103\) 448291. 258821.i 0.410250 0.236858i −0.280647 0.959811i \(-0.590549\pi\)
0.690897 + 0.722953i \(0.257216\pi\)
\(104\) 246320.i 0.218977i
\(105\) −307227. + 973235.i −0.265394 + 0.840717i
\(106\) −2.55127e6 −2.14210
\(107\) −323372. 560097.i −0.263968 0.457206i 0.703325 0.710869i \(-0.251698\pi\)
−0.967293 + 0.253663i \(0.918365\pi\)
\(108\) 232686. + 134341.i 0.184713 + 0.106644i
\(109\) 343631. 595186.i 0.265346 0.459593i −0.702308 0.711873i \(-0.747847\pi\)
0.967654 + 0.252280i \(0.0811805\pi\)
\(110\) −3.94609e6 + 2.27827e6i −2.96475 + 1.71170i
\(111\) 575720.i 0.420962i
\(112\) −1.20712e6 + 267177.i −0.859201 + 0.190171i
\(113\) 2.11668e6 1.46697 0.733483 0.679708i \(-0.237893\pi\)
0.733483 + 0.679708i \(0.237893\pi\)
\(114\) 357543. + 619283.i 0.241331 + 0.417998i
\(115\) 109189. + 63040.4i 0.0717937 + 0.0414501i
\(116\) 329209. 570207.i 0.210910 0.365308i
\(117\) −643952. + 371786.i −0.402065 + 0.232132i
\(118\) 2.23627e6i 1.36106i
\(119\) −721014. + 660232.i −0.427861 + 0.391792i
\(120\) −239516. −0.138609
\(121\) −1.22595e6 2.12340e6i −0.692015 1.19860i
\(122\) 3.34823e6 + 1.93310e6i 1.84389 + 1.06457i
\(123\) −529550. + 917207.i −0.284571 + 0.492892i
\(124\) −172101. + 99362.7i −0.0902649 + 0.0521145i
\(125\) 989318.i 0.506531i
\(126\) −653846. 714039.i −0.326861 0.356952i
\(127\) 3.29012e6 1.60620 0.803102 0.595841i \(-0.203181\pi\)
0.803102 + 0.595841i \(0.203181\pi\)
\(128\) −327785. 567740.i −0.156300 0.270720i
\(129\) −166540. 96151.9i −0.0775799 0.0447908i
\(130\) 3.39226e6 5.87556e6i 1.54404 2.67436i
\(131\) 193424. 111674.i 0.0860394 0.0496748i −0.456363 0.889794i \(-0.650848\pi\)
0.542402 + 0.840119i \(0.317515\pi\)
\(132\) 2.27230e6i 0.987972i
\(133\) −292725. 1.32254e6i −0.124424 0.562153i
\(134\) −4.05609e6 −1.68575
\(135\) 361516. + 626164.i 0.146935 + 0.254499i
\(136\) −198699. 114719.i −0.0789912 0.0456056i
\(137\) 1.58525e6 2.74573e6i 0.616504 1.06782i −0.373615 0.927584i \(-0.621882\pi\)
0.990119 0.140232i \(-0.0447849\pi\)
\(138\) −103583. + 59803.8i −0.0394141 + 0.0227558i
\(139\) 774740.i 0.288477i 0.989543 + 0.144239i \(0.0460733\pi\)
−0.989543 + 0.144239i \(0.953927\pi\)
\(140\) 4.42837e6 + 1.39793e6i 1.61384 + 0.509450i
\(141\) −2.30105e6 −0.820860
\(142\) 1.77521e6 + 3.07475e6i 0.619989 + 1.07385i
\(143\) 5.44604e6 + 3.14427e6i 1.86240 + 1.07526i
\(144\) −437942. + 758538.i −0.146666 + 0.254033i
\(145\) 1.53444e6 885912.i 0.503323 0.290594i
\(146\) 2.74715e6i 0.882722i
\(147\) 773927. + 1.66267e6i 0.243640 + 0.523424i
\(148\) −2.61962e6 −0.808077
\(149\) −1.75461e6 3.03907e6i −0.530421 0.918716i −0.999370 0.0354908i \(-0.988701\pi\)
0.468949 0.883225i \(-0.344633\pi\)
\(150\) −3.26302e6 1.88391e6i −0.966821 0.558194i
\(151\) −3.22601e6 + 5.58761e6i −0.936989 + 1.62291i −0.165940 + 0.986136i \(0.553066\pi\)
−0.771049 + 0.636776i \(0.780268\pi\)
\(152\) 275305. 158948.i 0.0783942 0.0452609i
\(153\) 692609.i 0.193381i
\(154\) −2.46488e6 + 7.80827e6i −0.674892 + 2.13792i
\(155\) −534776. −0.143607
\(156\) 1.69168e6 + 2.93008e6i 0.445600 + 0.771802i
\(157\) −4.05557e6 2.34148e6i −1.04798 0.605051i −0.125896 0.992043i \(-0.540181\pi\)
−0.922083 + 0.386992i \(0.873514\pi\)
\(158\) −3.40600e6 + 5.89937e6i −0.863523 + 1.49567i
\(159\) 2.96508e6 1.71189e6i 0.737641 0.425877i
\(160\) 8.97512e6i 2.19119i
\(161\) 221213. 48962.0i 0.0530069 0.0117323i
\(162\) −685909. −0.161332
\(163\) −2.59116e6 4.48803e6i −0.598318 1.03632i −0.993069 0.117529i \(-0.962503\pi\)
0.394752 0.918788i \(-0.370831\pi\)
\(164\) 4.17344e6 + 2.40953e6i 0.946155 + 0.546263i
\(165\) 3.05742e6 5.29560e6i 0.680617 1.17886i
\(166\) −1.07012e6 + 617836.i −0.233943 + 0.135067i
\(167\) 1.56630e6i 0.336298i 0.985762 + 0.168149i \(0.0537790\pi\)
−0.985762 + 0.168149i \(0.946221\pi\)
\(168\) −317430. + 290670.i −0.0669452 + 0.0613017i
\(169\) −4.53658e6 −0.939871
\(170\) −3.15976e6 5.47286e6i −0.643143 1.11396i
\(171\) −831071. 479819.i −0.166207 0.0959598i
\(172\) −437506. + 757783.i −0.0859803 + 0.148922i
\(173\) −1.07788e6 + 622312.i −0.208176 + 0.120190i −0.600463 0.799652i \(-0.705017\pi\)
0.392287 + 0.919843i \(0.371684\pi\)
\(174\) 1.68085e6i 0.319067i
\(175\) 4.82000e6 + 5.26373e6i 0.899358 + 0.982154i
\(176\) 7.40754e6 1.35874
\(177\) −1.50053e6 2.59899e6i −0.270597 0.468689i
\(178\) 131359. + 75839.9i 0.0232916 + 0.0134474i
\(179\) −1.12800e6 + 1.95375e6i −0.196675 + 0.340651i −0.947448 0.319909i \(-0.896348\pi\)
0.750773 + 0.660560i \(0.229681\pi\)
\(180\) 2.84914e6 1.64495e6i 0.488536 0.282057i
\(181\) 7.97198e6i 1.34441i 0.740367 + 0.672203i \(0.234652\pi\)
−0.740367 + 0.672203i \(0.765348\pi\)
\(182\) −2.63468e6 1.19036e7i −0.437033 1.97454i
\(183\) −5.18839e6 −0.846603
\(184\) 26586.1 + 46048.4i 0.00426776 + 0.00739199i
\(185\) −6.10502e6 3.52473e6i −0.964210 0.556687i
\(186\) 253660. 439351.i 0.0394196 0.0682768i
\(187\) 5.07278e6 2.92877e6i 0.775750 0.447879i
\(188\) 1.04701e7i 1.57572i
\(189\) 1.23901e6 + 391127.i 0.183523 + 0.0579338i
\(190\) 8.75595e6 1.27656
\(191\) −2.13087e6 3.69078e6i −0.305814 0.529685i 0.671628 0.740888i \(-0.265595\pi\)
−0.977442 + 0.211203i \(0.932262\pi\)
\(192\) 4.25935e6 + 2.45914e6i 0.601783 + 0.347440i
\(193\) 72886.7 126243.i 0.0101386 0.0175605i −0.860912 0.508755i \(-0.830106\pi\)
0.871050 + 0.491194i \(0.163439\pi\)
\(194\) −2.06434e6 + 1.19185e6i −0.282733 + 0.163236i
\(195\) 9.10474e6i 1.22790i
\(196\) 7.56541e6 3.52149e6i 1.00476 0.467690i
\(197\) −7.21313e6 −0.943463 −0.471732 0.881742i \(-0.656371\pi\)
−0.471732 + 0.881742i \(0.656371\pi\)
\(198\) 2.90044e6 + 5.02371e6i 0.373653 + 0.647186i
\(199\) 1.52836e6 + 882399.i 0.193940 + 0.111971i 0.593826 0.804594i \(-0.297617\pi\)
−0.399886 + 0.916565i \(0.630950\pi\)
\(200\) −837500. + 1.45059e6i −0.104687 + 0.181324i
\(201\) 4.71398e6 2.72162e6i 0.580496 0.335150i
\(202\) 1.62751e7i 1.97455i
\(203\) 958475. 3.03626e6i 0.114576 0.362954i
\(204\) 3.15148e6 0.371214
\(205\) 6.48413e6 + 1.12308e7i 0.752645 + 1.30362i
\(206\) 5.20732e6 + 3.00645e6i 0.595680 + 0.343916i
\(207\) 80256.0 139007.i 0.00904829 0.0156721i
\(208\) −9.55185e6 + 5.51476e6i −1.06144 + 0.612825i
\(209\) 8.11587e6i 0.888989i
\(210\) −1.15748e7 + 2.56191e6i −1.24984 + 0.276634i
\(211\) 1.37033e7 1.45874 0.729369 0.684121i \(-0.239814\pi\)
0.729369 + 0.684121i \(0.239814\pi\)
\(212\) −7.78936e6 1.34916e7i −0.817512 1.41597i
\(213\) −4.12628e6 2.38231e6i −0.426992 0.246524i
\(214\) 3.75627e6 6.50605e6i 0.383279 0.663859i
\(215\) −2.03922e6 + 1.17734e6i −0.205186 + 0.118464i
\(216\) 304924.i 0.0302573i
\(217\) −708738. + 648991.i −0.0693596 + 0.0635126i
\(218\) 7.98318e6 0.770560
\(219\) 1.84332e6 + 3.19273e6i 0.175497 + 0.303969i
\(220\) −2.40958e7 1.39117e7i −2.26294 1.30651i
\(221\) −4.36082e6 + 7.55317e6i −0.404010 + 0.699765i
\(222\) 5.79157e6 3.34376e6i 0.529343 0.305616i
\(223\) 2.15029e7i 1.93902i −0.245055 0.969509i \(-0.578806\pi\)
0.245055 0.969509i \(-0.421194\pi\)
\(224\) −1.08920e7 1.18947e7i −0.969087 1.05830i
\(225\) 5.05636e6 0.443906
\(226\) 1.22936e7 + 2.12932e7i 1.06501 + 1.84465i
\(227\) 3.40461e6 + 1.96565e6i 0.291065 + 0.168046i 0.638422 0.769687i \(-0.279588\pi\)
−0.347357 + 0.937733i \(0.612921\pi\)
\(228\) −2.18325e6 + 3.78150e6i −0.184204 + 0.319051i
\(229\) 486988. 281163.i 0.0405520 0.0234127i −0.479587 0.877494i \(-0.659213\pi\)
0.520139 + 0.854082i \(0.325880\pi\)
\(230\) 1.46455e6i 0.120370i
\(231\) −2.37462e6 1.07287e7i −0.192646 0.870382i
\(232\) 747232. 0.0598400
\(233\) 8.16657e6 + 1.41449e7i 0.645612 + 1.11823i 0.984160 + 0.177284i \(0.0567310\pi\)
−0.338548 + 0.940949i \(0.609936\pi\)
\(234\) −7.48010e6 4.31864e6i −0.583794 0.337054i
\(235\) −1.40877e7 + 2.44007e7i −1.08552 + 1.88018i
\(236\) −1.18258e7 + 6.82763e6i −0.899693 + 0.519438i
\(237\) 9.14164e6i 0.686719i
\(238\) −1.08294e7 3.41857e6i −0.803289 0.253579i
\(239\) −1.96132e7 −1.43666 −0.718331 0.695702i \(-0.755094\pi\)
−0.718331 + 0.695702i \(0.755094\pi\)
\(240\) 5.36243e6 + 9.28800e6i 0.387907 + 0.671875i
\(241\) 3.11683e6 + 1.79950e6i 0.222670 + 0.128559i 0.607186 0.794560i \(-0.292298\pi\)
−0.384516 + 0.923118i \(0.625632\pi\)
\(242\) 1.42405e7 2.46653e7i 1.00480 1.74036i
\(243\) 797162. 460241.i 0.0555556 0.0320750i
\(244\) 2.36080e7i 1.62514i
\(245\) 2.23694e7 + 1.97254e6i 1.52109 + 0.134131i
\(246\) −1.23024e7 −0.826391
\(247\) −6.04210e6 1.04652e7i −0.400956 0.694476i
\(248\) −195316. 112766.i −0.0128051 0.00739302i
\(249\) 829129. 1.43609e6i 0.0537061 0.0930218i
\(250\) −9.95223e6 + 5.74592e6i −0.636943 + 0.367739i
\(251\) 6.49855e6i 0.410956i −0.978662 0.205478i \(-0.934125\pi\)
0.978662 0.205478i \(-0.0658749\pi\)
\(252\) 1.77969e6 5.63771e6i 0.111210 0.352290i
\(253\) −1.35749e6 −0.0838250
\(254\) 1.91089e7 + 3.30976e7i 1.16610 + 2.01974i
\(255\) 7.34452e6 + 4.24036e6i 0.442938 + 0.255730i
\(256\) −6.28871e6 + 1.08924e7i −0.374837 + 0.649236i
\(257\) 2.47506e6 1.42897e6i 0.145810 0.0841832i −0.425320 0.905043i \(-0.639839\pi\)
0.571130 + 0.820860i \(0.306505\pi\)
\(258\) 2.23379e6i 0.130072i
\(259\) −1.23685e7 + 2.73758e6i −0.711898 + 0.157568i
\(260\) 4.14280e7 2.35708
\(261\) −1.12784e6 1.95348e6i −0.0634348 0.109872i
\(262\) 2.24680e6 + 1.29719e6i 0.124928 + 0.0721275i
\(263\) 2.49913e6 4.32862e6i 0.137380 0.237948i −0.789124 0.614233i \(-0.789465\pi\)
0.926504 + 0.376285i \(0.122799\pi\)
\(264\) 2.23332e6 1.28941e6i 0.121378 0.0700774i
\(265\) 4.19228e7i 2.25275i
\(266\) 1.16042e7 1.06260e7i 0.616555 0.564580i
\(267\) −203553. −0.0106941
\(268\) −1.23838e7 2.14493e7i −0.643352 1.11432i
\(269\) −1.76842e7 1.02100e7i −0.908507 0.524527i −0.0285567 0.999592i \(-0.509091\pi\)
−0.879951 + 0.475065i \(0.842424\pi\)
\(270\) −4.19934e6 + 7.27348e6i −0.213349 + 0.369531i
\(271\) 1.06885e7 6.17102e6i 0.537044 0.310062i −0.206836 0.978376i \(-0.566317\pi\)
0.743880 + 0.668313i \(0.232983\pi\)
\(272\) 1.02736e7i 0.510523i
\(273\) 1.10493e7 + 1.20665e7i 0.543058 + 0.593053i
\(274\) 3.68283e7 1.79032
\(275\) −2.13814e7 3.70336e7i −1.02811 1.78073i
\(276\) −632506. 365177.i −0.0300841 0.0173691i
\(277\) 1.04151e7 1.80395e7i 0.490031 0.848758i −0.509903 0.860232i \(-0.670319\pi\)
0.999934 + 0.0114733i \(0.00365216\pi\)
\(278\) −7.79365e6 + 4.49966e6i −0.362749 + 0.209433i
\(279\) 680817.i 0.0313486i
\(280\) 1.13891e6 + 5.14564e6i 0.0518817 + 0.234404i
\(281\) 2.10143e7 0.947100 0.473550 0.880767i \(-0.342972\pi\)
0.473550 + 0.880767i \(0.342972\pi\)
\(282\) −1.33644e7 2.31479e7i −0.595941 1.03220i
\(283\) 9.02737e6 + 5.21195e6i 0.398292 + 0.229954i 0.685747 0.727840i \(-0.259476\pi\)
−0.287455 + 0.957794i \(0.592809\pi\)
\(284\) −1.08399e7 + 1.87752e7i −0.473227 + 0.819653i
\(285\) −1.01761e7 + 5.87519e6i −0.439591 + 0.253798i
\(286\) 7.30474e7i 3.12253i
\(287\) 2.22229e7 + 7.01523e6i 0.940058 + 0.296754i
\(288\) −1.14261e7 −0.478323
\(289\) −8.00684e6 1.38683e7i −0.331717 0.574551i
\(290\) 1.78240e7 + 1.02907e7i 0.730821 + 0.421940i
\(291\) 1.59945e6 2.77033e6i 0.0649070 0.112422i
\(292\) 1.45274e7 8.38741e6i 0.583499 0.336883i
\(293\) 2.85328e7i 1.13433i 0.823603 + 0.567167i \(0.191961\pi\)
−0.823603 + 0.567167i \(0.808039\pi\)
\(294\) −1.22310e7 + 1.74422e7i −0.481305 + 0.686371i
\(295\) −3.67467e7 −1.43137
\(296\) −1.48649e6 2.57467e6i −0.0573173 0.0992765i
\(297\) −6.74177e6 3.89236e6i −0.257338 0.148574i
\(298\) 2.03814e7 3.53016e7i 0.770167 1.33397i
\(299\) 1.75044e6 1.01062e6i 0.0654839 0.0378072i
\(300\) 2.30072e7i 0.852120i
\(301\) −1.27378e6 + 4.03507e6i −0.0467082 + 0.147963i
\(302\) −7.49461e7 −2.72100
\(303\) 1.09205e7 + 1.89148e7i 0.392567 + 0.679946i
\(304\) −1.23274e7 7.11724e6i −0.438785 0.253332i
\(305\) −3.17649e7 + 5.50185e7i −1.11956 + 1.93914i
\(306\) −6.96744e6 + 4.02265e6i −0.243169 + 0.140394i
\(307\) 1.02269e7i 0.353450i 0.984260 + 0.176725i \(0.0565503\pi\)
−0.984260 + 0.176725i \(0.943450\pi\)
\(308\) −4.88171e7 + 1.08049e7i −1.67078 + 0.369802i
\(309\) −8.06925e6 −0.273500
\(310\) −3.10596e6 5.37968e6i −0.104258 0.180581i
\(311\) −1.36331e7 7.87108e6i −0.453225 0.261669i 0.255966 0.966686i \(-0.417606\pi\)
−0.709191 + 0.705016i \(0.750940\pi\)
\(312\) −1.91987e6 + 3.32532e6i −0.0632133 + 0.109489i
\(313\) 4.80881e7 2.77637e7i 1.56821 0.905408i 0.571834 0.820369i \(-0.306232\pi\)
0.996378 0.0850387i \(-0.0271014\pi\)
\(314\) 5.43970e7i 1.75706i
\(315\) 1.17332e7 1.07441e7i 0.375391 0.343746i
\(316\) −4.15959e7 −1.31822
\(317\) 3.01539e6 + 5.22282e6i 0.0946600 + 0.163956i 0.909467 0.415777i \(-0.136490\pi\)
−0.814807 + 0.579733i \(0.803157\pi\)
\(318\) 3.44422e7 + 1.98852e7i 1.07105 + 0.618370i
\(319\) −9.53842e6 + 1.65210e7i −0.293836 + 0.508938i
\(320\) 5.21541e7 3.01112e7i 1.59162 0.918920i
\(321\) 1.00817e7i 0.304804i
\(322\) 1.77734e6 + 1.94096e6i 0.0532357 + 0.0581366i
\(323\) −1.12560e7 −0.334022
\(324\) −2.09417e6 3.62721e6i −0.0615711 0.106644i
\(325\) 5.51416e7 + 3.18360e7i 1.60631 + 0.927403i
\(326\) 3.00988e7 5.21326e7i 0.868752 1.50472i
\(327\) −9.27803e6 + 5.35667e6i −0.265346 + 0.153198i
\(328\) 5.46910e6i 0.154987i
\(329\) 1.09416e7 + 4.94347e7i 0.307251 + 1.38818i
\(330\) 7.10295e7 1.97650
\(331\) −4.88277e6 8.45720e6i −0.134643 0.233208i 0.790818 0.612051i \(-0.209655\pi\)
−0.925461 + 0.378843i \(0.876322\pi\)
\(332\) −6.53445e6 3.77267e6i −0.178564 0.103094i
\(333\) −4.48729e6 + 7.77222e6i −0.121521 + 0.210481i
\(334\) −1.57564e7 + 9.09699e6i −0.422882 + 0.244151i
\(335\) 6.66502e7i 1.77283i
\(336\) 1.83785e7 + 5.80165e6i 0.484498 + 0.152945i
\(337\) −5.70025e7 −1.48938 −0.744688 0.667412i \(-0.767402\pi\)
−0.744688 + 0.667412i \(0.767402\pi\)
\(338\) −2.63483e7 4.56366e7i −0.682343 1.18185i
\(339\) −2.85752e7 1.64979e7i −0.733483 0.423477i
\(340\) 1.92943e7 3.34187e7i 0.490900 0.850263i
\(341\) 4.98642e6 2.87891e6i 0.125755 0.0726047i
\(342\) 1.11471e7i 0.278666i
\(343\) 3.20399e7 2.45327e7i 0.793980 0.607944i
\(344\) −993041. −0.0243945
\(345\) −982703. 1.70209e6i −0.0239312 0.0414501i
\(346\) −1.25205e7 7.22874e6i −0.302270 0.174516i
\(347\) 1.83677e7 3.18139e7i 0.439610 0.761426i −0.558050 0.829808i \(-0.688450\pi\)
0.997659 + 0.0683813i \(0.0217834\pi\)
\(348\) −8.88865e6 + 5.13187e6i −0.210910 + 0.121769i
\(349\) 6.58421e7i 1.54891i 0.632626 + 0.774457i \(0.281977\pi\)
−0.632626 + 0.774457i \(0.718023\pi\)
\(350\) −2.49571e7 + 7.90593e7i −0.582090 + 1.84395i
\(351\) 1.15911e7 0.268043
\(352\) 4.83166e7 + 8.36867e7i 1.10782 + 1.91879i
\(353\) 2.76008e7 + 1.59353e7i 0.627476 + 0.362273i 0.779774 0.626061i \(-0.215334\pi\)
−0.152298 + 0.988335i \(0.548667\pi\)
\(354\) 1.74300e7 3.01897e7i 0.392905 0.680532i
\(355\) −5.05247e7 + 2.91704e7i −1.12932 + 0.652015i
\(356\) 926197.i 0.0205283i
\(357\) 1.48797e7 3.29339e6i 0.327031 0.0723833i
\(358\) −2.62055e7 −0.571141
\(359\) 1.91128e7 + 3.31044e7i 0.413087 + 0.715488i 0.995226 0.0976018i \(-0.0311171\pi\)
−0.582138 + 0.813090i \(0.697784\pi\)
\(360\) 3.23346e6 + 1.86684e6i 0.0693043 + 0.0400128i
\(361\) −1.57251e7 + 2.72367e7i −0.334251 + 0.578940i
\(362\) −8.01957e7 + 4.63010e7i −1.69054 + 0.976033i
\(363\) 3.82212e7i 0.799070i
\(364\) 5.49044e7 5.02760e7i 1.13842 1.04245i
\(365\) 4.51415e7 0.928320
\(366\) −3.01340e7 5.21937e7i −0.614630 1.06457i
\(367\) 8.43371e7 + 4.86920e7i 1.70616 + 0.985053i 0.939206 + 0.343354i \(0.111563\pi\)
0.766956 + 0.641699i \(0.221770\pi\)
\(368\) 1.19045e6 2.06192e6i 0.0238874 0.0413741i
\(369\) 1.42978e7 8.25486e6i 0.284571 0.164297i
\(370\) 8.18861e7i 1.61661i
\(371\) −5.08765e7 5.55602e7i −0.996312 1.08803i
\(372\) 3.09782e6 0.0601766
\(373\) −1.05213e7 1.82235e7i −0.202742 0.351160i 0.746669 0.665196i \(-0.231652\pi\)
−0.949411 + 0.314036i \(0.898319\pi\)
\(374\) 5.89251e7 + 3.40204e7i 1.12638 + 0.650317i
\(375\) 7.71097e6 1.33558e7i 0.146223 0.253265i
\(376\) −1.02905e7 + 5.94122e6i −0.193586 + 0.111767i
\(377\) 2.84046e7i 0.530109i
\(378\) 3.26153e6 + 1.47357e7i 0.0603874 + 0.272833i
\(379\) −4.11794e7 −0.756418 −0.378209 0.925720i \(-0.623460\pi\)
−0.378209 + 0.925720i \(0.623460\pi\)
\(380\) 2.67331e7 + 4.63030e7i 0.487189 + 0.843837i
\(381\) −4.44166e7 2.56440e7i −0.803102 0.463671i
\(382\) 2.47521e7 4.28718e7i 0.444039 0.769098i
\(383\) −1.31798e7 + 7.60939e6i −0.234592 + 0.135442i −0.612689 0.790324i \(-0.709912\pi\)
0.378096 + 0.925766i \(0.376579\pi\)
\(384\) 1.02193e7i 0.180480i
\(385\) −1.28306e8 4.05033e7i −2.24836 0.709754i
\(386\) 1.69329e6 0.0294422
\(387\) 1.49886e6 + 2.59610e6i 0.0258600 + 0.0447908i
\(388\) −1.26054e7 7.27774e6i −0.215805 0.124595i
\(389\) 3.37497e7 5.84563e7i 0.573353 0.993076i −0.422866 0.906192i \(-0.638976\pi\)
0.996218 0.0868835i \(-0.0276908\pi\)
\(390\) −9.15909e7 + 5.28800e7i −1.54404 + 0.891452i
\(391\) 1.88271e6i 0.0314958i
\(392\) 7.75401e6 + 5.43735e6i 0.128727 + 0.0902671i
\(393\) −3.48164e6 −0.0573596
\(394\) −4.18936e7 7.25619e7i −0.684951 1.18637i
\(395\) −9.69393e7 5.59679e7i −1.57293 0.908130i
\(396\) −1.77109e7 + 3.06761e7i −0.285203 + 0.493986i
\(397\) 8.14198e6 4.70078e6i 0.130124 0.0751273i −0.433525 0.901142i \(-0.642730\pi\)
0.563649 + 0.826014i \(0.309397\pi\)
\(398\) 2.04998e7i 0.325162i
\(399\) −6.35642e6 + 2.01359e7i −0.100068 + 0.316995i
\(400\) 7.50019e7 1.17190
\(401\) 2.77486e7 + 4.80620e7i 0.430336 + 0.745364i 0.996902 0.0786521i \(-0.0250616\pi\)
−0.566566 + 0.824016i \(0.691728\pi\)
\(402\) 5.47573e7 + 3.16141e7i 0.842876 + 0.486635i
\(403\) −4.28658e6 + 7.42457e6i −0.0654931 + 0.113437i
\(404\) 8.60654e7 4.96899e7i 1.30522 0.753571i
\(405\) 1.12709e7i 0.169666i
\(406\) 3.61107e7 7.99254e6i 0.539582 0.119428i
\(407\) 7.59001e7 1.12579
\(408\) 1.78829e6 + 3.09741e6i 0.0263304 + 0.0456056i
\(409\) 1.41570e7 + 8.17357e6i 0.206920 + 0.119465i 0.599879 0.800091i \(-0.295215\pi\)
−0.392959 + 0.919556i \(0.628549\pi\)
\(410\) −7.53192e7 + 1.30457e8i −1.09283 + 1.89284i
\(411\) −4.28017e7 + 2.47116e7i −0.616504 + 0.355939i
\(412\) 3.67163e7i 0.525010i
\(413\) −4.87003e7 + 4.45949e7i −0.691324 + 0.633046i
\(414\) 1.86450e6 0.0262761
\(415\) −1.01524e7 1.75844e7i −0.142044 0.246027i
\(416\) −1.24606e8 7.19413e7i −1.73085 0.999306i
\(417\) 6.03850e6 1.04590e7i 0.0832762 0.144239i
\(418\) −8.16432e7 + 4.71367e7i −1.11787 + 0.645402i
\(419\) 3.75022e7i 0.509818i 0.966965 + 0.254909i \(0.0820455\pi\)
−0.966965 + 0.254909i \(0.917955\pi\)
\(420\) −4.88872e7 5.33878e7i −0.659853 0.720600i
\(421\) 9.17501e7 1.22959 0.614795 0.788687i \(-0.289239\pi\)
0.614795 + 0.788687i \(0.289239\pi\)
\(422\) 7.95882e7 + 1.37851e8i 1.05904 + 1.83431i
\(423\) 3.10642e7 + 1.79349e7i 0.410430 + 0.236962i
\(424\) 8.84006e6 1.53114e7i 0.115973 0.200871i
\(425\) 5.13623e7 2.96540e7i 0.669080 0.386293i
\(426\) 5.53455e7i 0.715902i
\(427\) 2.46711e7 + 1.11465e8i 0.316887 + 1.43171i
\(428\) 4.58735e7 0.585101
\(429\) −4.90144e7 8.48954e7i −0.620800 1.07526i
\(430\) −2.36874e7 1.36759e7i −0.297928 0.172009i
\(431\) 6.89035e7 1.19344e8i 0.860616 1.49063i −0.0107202 0.999943i \(-0.503412\pi\)
0.871336 0.490687i \(-0.163254\pi\)
\(432\) 1.18244e7 6.82684e6i 0.146666 0.0846776i
\(433\) 2.00324e7i 0.246757i −0.992360 0.123378i \(-0.960627\pi\)
0.992360 0.123378i \(-0.0393729\pi\)
\(434\) −1.06450e7 3.36037e6i −0.130219 0.0411071i
\(435\) −2.76200e7 −0.335549
\(436\) 2.43737e7 + 4.22165e7i 0.294078 + 0.509357i
\(437\) 2.25909e6 + 1.30428e6i 0.0270700 + 0.0156289i
\(438\) −2.14119e7 + 3.70865e7i −0.254820 + 0.441361i
\(439\) 7.45669e7 4.30512e7i 0.881359 0.508853i 0.0102525 0.999947i \(-0.496736\pi\)
0.871106 + 0.491095i \(0.163403\pi\)
\(440\) 3.15765e7i 0.370686i
\(441\) 2.51122e6 2.84782e7i 0.0292798 0.332045i
\(442\) −1.01310e8 −1.17324
\(443\) 4.03937e6 + 6.99640e6i 0.0464625 + 0.0804754i 0.888321 0.459222i \(-0.151872\pi\)
−0.841859 + 0.539698i \(0.818539\pi\)
\(444\) 3.53648e7 + 2.04179e7i 0.404038 + 0.233272i
\(445\) −1.24621e6 + 2.15850e6i −0.0141420 + 0.0244947i
\(446\) 2.16312e8 1.24888e8i 2.43824 1.40772i
\(447\) 5.47032e7i 0.612477i
\(448\) 3.25775e7 1.03199e8i 0.362313 1.14774i
\(449\) −5.16486e7 −0.570584 −0.285292 0.958441i \(-0.592091\pi\)
−0.285292 + 0.958441i \(0.592091\pi\)
\(450\) 2.93672e7 + 5.08655e7i 0.322274 + 0.558194i
\(451\) −1.20920e8 6.98132e7i −1.31816 0.761041i
\(452\) −7.50680e7 + 1.30022e8i −0.812904 + 1.40799i
\(453\) 8.71022e7 5.02885e7i 0.936989 0.540971i
\(454\) 4.56657e7i 0.488004i
\(455\) 1.95602e8 4.32935e7i 2.07653 0.459609i
\(456\) −4.95549e6 −0.0522628
\(457\) 1.99697e7 + 3.45885e7i 0.209229 + 0.362396i 0.951472 0.307735i \(-0.0995711\pi\)
−0.742243 + 0.670131i \(0.766238\pi\)
\(458\) 5.65682e6 + 3.26597e6i 0.0588811 + 0.0339950i
\(459\) 5.39835e6 9.35022e6i 0.0558243 0.0966905i
\(460\) −7.74478e6 + 4.47145e6i −0.0795675 + 0.0459383i
\(461\) 1.40914e7i 0.143831i 0.997411 + 0.0719153i \(0.0229111\pi\)
−0.997411 + 0.0719153i \(0.977089\pi\)
\(462\) 9.41353e7 8.61997e7i 0.954612 0.874138i
\(463\) 1.25200e8 1.26142 0.630712 0.776017i \(-0.282763\pi\)
0.630712 + 0.776017i \(0.282763\pi\)
\(464\) −1.67295e7 2.89763e7i −0.167467 0.290061i
\(465\) 7.21948e6 + 4.16817e6i 0.0718037 + 0.0414559i
\(466\) −9.48623e7 + 1.64306e8i −0.937423 + 1.62367i
\(467\) −8.96567e7 + 5.17633e7i −0.880303 + 0.508243i −0.870758 0.491711i \(-0.836372\pi\)
−0.00954455 + 0.999954i \(0.503038\pi\)
\(468\) 5.27415e7i 0.514535i
\(469\) −8.08851e7 8.83315e7i −0.784061 0.856243i
\(470\) −3.27284e8 −3.15233
\(471\) 3.65001e7 + 6.32200e7i 0.349326 + 0.605051i
\(472\) −1.34210e7 7.74860e6i −0.127631 0.0736880i
\(473\) 1.26762e7 2.19558e7i 0.119786 0.207475i
\(474\) 9.19621e7 5.30944e7i 0.863523 0.498555i
\(475\) 8.21738e7i 0.766747i
\(476\) −1.49854e7 6.77049e7i −0.138947 0.627768i
\(477\) −5.33714e7 −0.491760
\(478\) −1.13913e8 1.97303e8i −1.04301 1.80655i
\(479\) −6.75301e7 3.89885e7i −0.614456 0.354757i 0.160251 0.987076i \(-0.448770\pi\)
−0.774708 + 0.632320i \(0.782103\pi\)
\(480\) −6.99541e7 + 1.21164e8i −0.632542 + 1.09560i
\(481\) −9.78713e7 + 5.65060e7i −0.879468 + 0.507761i
\(482\) 4.18058e7i 0.373333i
\(483\) −3.36799e6 1.06319e6i −0.0298903 0.00943564i
\(484\) 1.73913e8 1.53389
\(485\) −1.95846e7 3.39216e7i −0.171668 0.297338i
\(486\) 9.25978e6 + 5.34613e6i 0.0806662 + 0.0465727i
\(487\) −7.13992e7 + 1.23667e8i −0.618168 + 1.07070i 0.371651 + 0.928372i \(0.378792\pi\)
−0.989820 + 0.142327i \(0.954542\pi\)
\(488\) −2.32029e7 + 1.33962e7i −0.199657 + 0.115272i
\(489\) 8.07845e7i 0.690878i
\(490\) 1.10078e8 + 2.36486e8i 0.935644 + 2.01010i
\(491\) 5.07818e7 0.429006 0.214503 0.976723i \(-0.431187\pi\)
0.214503 + 0.976723i \(0.431187\pi\)
\(492\) −3.75609e7 6.50574e7i −0.315385 0.546263i
\(493\) −2.29132e7 1.32289e7i −0.191225 0.110404i
\(494\) 7.01846e7 1.21563e8i 0.582185 1.00837i
\(495\) −8.25503e7 + 4.76604e7i −0.680617 + 0.392955i
\(496\) 1.00987e7i 0.0827598i
\(497\) −3.15597e7 + 9.99750e7i −0.257078 + 0.814371i
\(498\) 1.92622e7 0.155962
\(499\) −6.32522e7 1.09556e8i −0.509065 0.881727i −0.999945 0.0104998i \(-0.996658\pi\)
0.490879 0.871228i \(-0.336676\pi\)
\(500\) −6.07709e7 3.50861e7i −0.486167 0.280689i
\(501\) 1.22081e7 2.11450e7i 0.0970808 0.168149i
\(502\) 6.53735e7 3.77434e7i 0.516762 0.298353i
\(503\) 7.36652e6i 0.0578840i 0.999581 + 0.0289420i \(0.00921381\pi\)
−0.999581 + 0.0289420i \(0.990786\pi\)
\(504\) 6.55085e6 1.44993e6i 0.0511689 0.0113254i
\(505\) 2.67434e8 2.07655
\(506\) −7.88423e6 1.36559e7i −0.0608566 0.105407i
\(507\) 6.12438e7 + 3.53591e7i 0.469936 + 0.271317i
\(508\) −1.16684e8 + 2.02103e8i −0.890062 + 1.54163i
\(509\) −1.98695e8 + 1.14716e8i −1.50672 + 0.869906i −0.506753 + 0.862092i \(0.669154\pi\)
−0.999969 + 0.00781491i \(0.997512\pi\)
\(510\) 9.85116e7i 0.742637i
\(511\) 5.98260e7 5.47826e7i 0.448360 0.410563i
\(512\) −1.88055e8 −1.40112
\(513\) 7.47964e6 + 1.29551e7i 0.0554024 + 0.0959598i
\(514\) 2.87501e7 + 1.65989e7i 0.211714 + 0.122233i
\(515\) −4.94024e7 + 8.55674e7i −0.361681 + 0.626450i
\(516\) 1.18127e7 6.82004e6i 0.0859803 0.0496407i
\(517\) 3.03359e8i 2.19526i
\(518\) −9.93750e7 1.08524e8i −0.714970 0.780791i
\(519\) 1.94018e7 0.138784
\(520\) 2.35081e7 + 4.07172e7i 0.167189 + 0.289579i
\(521\) −9.29834e7 5.36840e7i −0.657495 0.379605i 0.133827 0.991005i \(-0.457273\pi\)
−0.791322 + 0.611400i \(0.790607\pi\)
\(522\) 1.31010e7 2.26915e7i 0.0921068 0.159534i
\(523\) 1.30357e8 7.52614e7i 0.911230 0.526099i 0.0304034 0.999538i \(-0.490321\pi\)
0.880827 + 0.473439i \(0.156987\pi\)
\(524\) 1.58420e7i 0.110107i
\(525\) −2.40432e7 1.08628e8i −0.166156 0.750699i
\(526\) 5.80595e7 0.398948
\(527\) 3.99279e6 + 6.91571e6i 0.0272800 + 0.0472503i
\(528\) −1.00002e8 5.77361e7i −0.679370 0.392234i
\(529\) 7.37998e7 1.27825e8i 0.498526 0.863473i
\(530\) 4.21731e8 2.43486e8i 2.83275 1.63549i
\(531\) 4.67818e7i 0.312459i
\(532\) 9.16215e7 + 2.89227e7i 0.608503 + 0.192090i
\(533\) 2.07898e8 1.37299
\(534\) −1.18223e6 2.04768e6i −0.00776385 0.0134474i
\(535\) 1.06908e8 + 6.17235e7i 0.698151 + 0.403078i
\(536\) 1.40542e7 2.43426e7i 0.0912666 0.158078i
\(537\) 3.04560e7 1.75838e7i 0.196675 0.113550i
\(538\) 2.37197e8i 1.52322i
\(539\) −2.19198e8 + 1.02031e8i −1.39981 + 0.651575i
\(540\) −5.12846e7 −0.325691
\(541\) 3.02874e7 + 5.24593e7i 0.191280 + 0.331307i 0.945675 0.325114i \(-0.105403\pi\)
−0.754395 + 0.656421i \(0.772069\pi\)
\(542\) 1.24157e8 + 7.16821e7i 0.779783 + 0.450208i
\(543\) 6.21354e7 1.07622e8i 0.388097 0.672203i
\(544\) −1.16066e8 + 6.70107e7i −0.720955 + 0.416243i
\(545\) 1.31181e8i 0.810365i
\(546\) −5.72113e7 + 1.81234e8i −0.351483 + 1.11343i
\(547\) −2.68955e8 −1.64330 −0.821651 0.569992i \(-0.806946\pi\)
−0.821651 + 0.569992i \(0.806946\pi\)
\(548\) 1.12442e8 + 1.94755e8i 0.683259 + 1.18344i
\(549\) 7.00433e7 + 4.04395e7i 0.423301 + 0.244393i
\(550\) 2.48365e8 4.30180e8i 1.49280 2.58561i
\(551\) 3.17471e7 1.83292e7i 0.189780 0.109569i
\(552\) 828871.i 0.00492799i
\(553\) −1.96395e8 + 4.34689e7i −1.16133 + 0.257042i
\(554\) 2.41962e8 1.42304
\(555\) 5.49451e7 + 9.51678e7i 0.321403 + 0.556687i
\(556\) −4.75900e7 2.74761e7i −0.276880 0.159857i
\(557\) −1.00886e8 + 1.74739e8i −0.583800 + 1.01117i 0.411223 + 0.911535i \(0.365102\pi\)
−0.995024 + 0.0996375i \(0.968232\pi\)
\(558\) −6.84881e6 + 3.95416e6i −0.0394196 + 0.0227589i
\(559\) 3.77486e7i 0.216105i
\(560\) 1.74040e8 1.59369e8i 0.991028 0.907484i
\(561\) −9.13101e7 −0.517166
\(562\) 1.22050e8 + 2.11397e8i 0.687591 + 1.19094i
\(563\) 1.52694e8 + 8.81577e7i 0.855650 + 0.494010i 0.862553 0.505967i \(-0.168864\pi\)
−0.00690346 + 0.999976i \(0.502197\pi\)
\(564\) 8.16067e7 1.41347e8i 0.454871 0.787860i
\(565\) −3.49892e8 + 2.02010e8i −1.93994 + 1.12003i
\(566\) 1.21083e8i 0.667783i
\(567\) −1.36781e7 1.49374e7i −0.0750375 0.0819455i
\(568\) −2.46041e7 −0.134265
\(569\) −1.00368e8 1.73843e8i −0.544828 0.943669i −0.998618 0.0525605i \(-0.983262\pi\)
0.453790 0.891109i \(-0.350072\pi\)
\(570\) −1.18205e8 6.82459e7i −0.638282 0.368512i
\(571\) 2.23204e7 3.86600e7i 0.119893 0.207660i −0.799832 0.600224i \(-0.795078\pi\)
0.919725 + 0.392563i \(0.128412\pi\)
\(572\) −3.86287e8 + 2.23023e8i −2.06406 + 1.19169i
\(573\) 6.64340e7i 0.353123i
\(574\) 5.84986e7 + 2.64300e8i 0.309321 + 1.39753i
\(575\) −1.37446e7 −0.0722986
\(576\) −3.83342e7 6.63967e7i −0.200594 0.347440i
\(577\) −2.24118e8 1.29395e8i −1.16668 0.673581i −0.213781 0.976882i \(-0.568578\pi\)
−0.952895 + 0.303301i \(0.901911\pi\)
\(578\) 9.30069e7 1.61093e8i 0.481650 0.834243i
\(579\) −1.96794e6 + 1.13619e6i −0.0101386 + 0.00585350i
\(580\) 1.25675e8i 0.644119i
\(581\) −3.47949e7 1.09839e7i −0.177414 0.0560053i
\(582\) 3.71582e7 0.188489
\(583\) 2.25687e8 + 3.90901e8i 1.13894 + 1.97270i
\(584\) 1.64870e7 + 9.51877e6i 0.0827757 + 0.0477906i
\(585\) 7.09644e7 1.22914e8i 0.354465 0.613951i
\(586\) −2.87031e8 + 1.65717e8i −1.42638 + 0.823522i
\(587\) 3.41902e8i 1.69039i −0.534457 0.845196i \(-0.679484\pi\)
0.534457 0.845196i \(-0.320516\pi\)
\(588\) −1.29580e8 1.14264e7i −0.637392 0.0562055i
\(589\) −1.10643e7 −0.0541476
\(590\) −2.13424e8 3.69661e8i −1.03917 1.79989i
\(591\) 9.73773e7 + 5.62208e7i 0.471732 + 0.272354i
\(592\) −6.65608e7 + 1.15287e8i −0.320814 + 0.555666i
\(593\) 1.27791e8 7.37803e7i 0.612826 0.353815i −0.161245 0.986914i \(-0.551551\pi\)
0.774071 + 0.633099i \(0.218218\pi\)
\(594\) 9.04268e7i 0.431458i
\(595\) 5.61744e7 1.77949e8i 0.266678 0.844784i
\(596\) 2.48908e8 1.17571
\(597\) −1.37552e7 2.38248e7i −0.0646465 0.111971i
\(598\) 2.03331e7 + 1.17393e7i 0.0950822 + 0.0548957i
\(599\) 3.32461e7 5.75840e7i 0.154690 0.267930i −0.778256 0.627947i \(-0.783896\pi\)
0.932946 + 0.360017i \(0.117229\pi\)
\(600\) 2.26125e7 1.30553e7i 0.104687 0.0604413i
\(601\) 3.71302e7i 0.171042i −0.996336 0.0855212i \(-0.972744\pi\)
0.996336 0.0855212i \(-0.0272555\pi\)
\(602\) −4.79896e7 + 1.06218e7i −0.219967 + 0.0486864i
\(603\) −8.48516e7 −0.386998
\(604\) −2.28820e8 3.96328e8i −1.03845 1.79864i
\(605\) 4.05303e8 + 2.34002e8i 1.83026 + 1.05670i
\(606\) −1.26852e8 + 2.19713e8i −0.570004 + 0.987276i
\(607\) 1.10132e8 6.35850e7i 0.492436 0.284308i −0.233149 0.972441i \(-0.574903\pi\)
0.725584 + 0.688133i \(0.241570\pi\)
\(608\) 1.85692e8i 0.826195i
\(609\) −3.66047e7 + 3.35190e7i −0.162064 + 0.148402i
\(610\) −7.37959e8 −3.25119
\(611\) 2.25845e8 + 3.91174e8i 0.990116 + 1.71493i
\(612\) −4.25450e7 2.45634e7i −0.185607 0.107160i
\(613\) 7.14975e7 1.23837e8i 0.310391 0.537614i −0.668056 0.744111i \(-0.732873\pi\)
0.978447 + 0.206498i \(0.0662066\pi\)
\(614\) −1.02879e8 + 5.93974e7i −0.444450 + 0.256603i
\(615\) 2.02155e8i 0.869079i
\(616\) −3.83205e7 4.18483e7i −0.163942 0.179034i
\(617\) −2.96115e8 −1.26068 −0.630339 0.776320i \(-0.717084\pi\)
−0.630339 + 0.776320i \(0.717084\pi\)
\(618\) −4.68659e7 8.11742e7i −0.198560 0.343916i
\(619\) 2.81343e8 + 1.62433e8i 1.18622 + 0.684862i 0.957444 0.288619i \(-0.0931959\pi\)
0.228771 + 0.973480i \(0.426529\pi\)
\(620\) 1.89658e7 3.28498e7i 0.0795786 0.137834i
\(621\) −2.16691e6 + 1.25107e6i −0.00904829 + 0.00522403i
\(622\) 1.82860e8i 0.759884i
\(623\) 967903. + 4.37303e6i 0.00400283 + 0.0180850i
\(624\) 1.71933e8 0.707630
\(625\) 6.81453e7 + 1.18031e8i 0.279123 + 0.483456i
\(626\) 5.58588e8 + 3.22501e8i 2.27703 + 1.31464i
\(627\) 6.32569e7 1.09564e8i 0.256629 0.444494i
\(628\) 2.87661e8 1.66081e8i 1.16145 0.670566i
\(629\) 1.05267e8i 0.422998i
\(630\) 1.76228e8 + 5.56310e7i 0.704780 + 0.222482i
\(631\) −1.40735e8 −0.560163 −0.280082 0.959976i \(-0.590362\pi\)
−0.280082 + 0.959976i \(0.590362\pi\)
\(632\) −2.36034e7 4.08822e7i −0.0935023 0.161951i
\(633\) −1.84994e8 1.06806e8i −0.729369 0.421101i
\(634\) −3.50266e7 + 6.06679e7i −0.137446 + 0.238063i
\(635\) −5.43864e8 + 3.14000e8i −2.12407 + 1.22633i
\(636\) 2.42848e8i 0.943982i
\(637\) 2.06691e8 2.94754e8i 0.799656 1.14036i
\(638\) −2.21595e8 −0.853294
\(639\) 3.71365e7 + 6.43224e7i 0.142331 + 0.246524i
\(640\) 1.08367e8 + 6.25658e7i 0.413388 + 0.238670i
\(641\) 1.08339e8 1.87648e8i 0.411348 0.712476i −0.583689 0.811977i \(-0.698391\pi\)
0.995037 + 0.0995014i \(0.0317248\pi\)
\(642\) −1.01419e8 + 5.85544e7i −0.383279 + 0.221286i
\(643\) 2.61645e8i 0.984192i 0.870541 + 0.492096i \(0.163769\pi\)
−0.870541 + 0.492096i \(0.836231\pi\)
\(644\) −4.83770e6 + 1.53249e7i −0.0181126 + 0.0573773i
\(645\) 3.67059e7 0.136791
\(646\) −6.53743e7 1.13232e8i −0.242499 0.420020i
\(647\) −9.29409e7 5.36595e7i −0.343158 0.198122i 0.318510 0.947920i \(-0.396818\pi\)
−0.661668 + 0.749797i \(0.730151\pi\)
\(648\) 2.37665e6 4.11648e6i 0.00873454 0.0151287i
\(649\) 3.42637e8 1.97822e8i 1.25343 0.723669i
\(650\) 7.39610e8i 2.69316i
\(651\) 1.46263e7 3.23732e6i 0.0530143 0.0117339i
\(652\) 3.67582e8 1.32621
\(653\) −2.21977e8 3.84475e8i −0.797200 1.38079i −0.921432 0.388539i \(-0.872980\pi\)
0.124232 0.992253i \(-0.460353\pi\)
\(654\) −1.07773e8 6.22228e7i −0.385280 0.222442i
\(655\) −2.13156e7 + 3.69198e7i −0.0758533 + 0.131382i
\(656\) 2.12082e8 1.22446e8i 0.751265 0.433743i
\(657\) 5.74691e7i 0.202646i
\(658\) −4.33750e8 + 3.97184e8i −1.52251 + 1.39417i
\(659\) −1.87037e7 −0.0653538 −0.0326769 0.999466i \(-0.510403\pi\)
−0.0326769 + 0.999466i \(0.510403\pi\)
\(660\) 2.16862e8 + 3.75617e8i 0.754315 + 1.30651i
\(661\) −1.85577e7 1.07143e7i −0.0642570 0.0370988i 0.467527 0.883979i \(-0.345145\pi\)
−0.531784 + 0.846880i \(0.678478\pi\)
\(662\) 5.67179e7 9.82383e7i 0.195500 0.338616i
\(663\) 1.17742e8 6.79785e7i 0.404010 0.233255i
\(664\) 8.56311e6i 0.0292501i
\(665\) 1.74608e8 + 1.90682e8i 0.593744 + 0.648404i
\(666\) −1.04248e8 −0.352895
\(667\) 3.06580e6 + 5.31012e6i 0.0103316 + 0.0178948i
\(668\) −9.62130e7 5.55486e7i −0.322778 0.186356i
\(669\) −1.67598e8 + 2.90289e8i −0.559746 + 0.969509i
\(670\) 6.70481e8 3.87102e8i 2.22927 1.28707i
\(671\) 6.84012e8i 2.26410i
\(672\) 5.43317e7 + 2.45473e8i 0.179038 + 0.808902i
\(673\) 2.29593e8 0.753205 0.376603 0.926375i \(-0.377092\pi\)
0.376603 + 0.926375i \(0.377092\pi\)
\(674\) −3.31069e8 5.73428e8i −1.08128 1.87283i
\(675\) −6.82609e7 3.94105e7i −0.221953 0.128145i
\(676\) 1.60890e8 2.78669e8i 0.520820 0.902087i
\(677\) 1.96110e7 1.13224e7i 0.0632024 0.0364899i −0.468066 0.883694i \(-0.655049\pi\)
0.531268 + 0.847204i \(0.321716\pi\)
\(678\) 3.83277e8i 1.22977i
\(679\) −6.71218e7 2.11888e7i −0.214415 0.0676856i
\(680\) 4.37938e7 0.139279
\(681\) −3.06415e7 5.30726e7i −0.0970216 0.168046i
\(682\) 5.79219e7 + 3.34412e7i 0.182595 + 0.105421i
\(683\) −1.12310e8 + 1.94527e8i −0.352499 + 0.610546i −0.986687 0.162633i \(-0.948001\pi\)
0.634188 + 0.773179i \(0.281335\pi\)
\(684\) 5.89478e7 3.40335e7i 0.184204 0.106350i
\(685\) 6.05167e8i 1.88280i
\(686\) 4.32879e8 + 1.79827e8i 1.34089 + 0.557034i
\(687\) −8.76579e6 −0.0270346
\(688\) 2.22328e7 + 3.85084e7i 0.0682700 + 0.118247i
\(689\) −5.82036e8 3.36038e8i −1.77947 1.02738i
\(690\) 1.14150e7 1.97714e7i 0.0347480 0.0601852i
\(691\) 2.19279e8 1.26601e8i 0.664603 0.383709i −0.129426 0.991589i \(-0.541313\pi\)
0.794029 + 0.607880i \(0.207980\pi\)
\(692\) 8.82811e7i 0.266409i
\(693\) −5.15642e7 + 1.63345e8i −0.154935 + 0.490803i
\(694\) 4.26717e8 1.27662
\(695\) −7.39390e7 1.28066e8i −0.220252 0.381487i
\(696\) −1.00876e7 5.82409e6i −0.0299200 0.0172743i
\(697\) 9.68246e7 1.67705e8i 0.285948 0.495277i
\(698\) −6.62351e8 + 3.82409e8i −1.94770 + 1.12451i
\(699\) 2.54608e8i 0.745489i
\(700\) −4.94277e8 + 1.09401e8i −1.44104 + 0.318952i
\(701\) 3.18180e8 0.923674 0.461837 0.886965i \(-0.347191\pi\)
0.461837 + 0.886965i \(0.347191\pi\)
\(702\) 6.73209e7 + 1.16603e8i 0.194598 + 0.337054i
\(703\) −1.26311e8 7.29255e7i −0.363558 0.209900i
\(704\) −3.24201e8 + 5.61532e8i −0.929171 + 1.60937i
\(705\) 3.80369e8 2.19606e8i 1.08552 0.626725i
\(706\) 3.70207e8i 1.05204i
\(707\) 3.54430e8 3.24551e8i 1.00293 0.918386i
\(708\) 2.12864e8 0.599796
\(709\) −1.35142e8 2.34072e8i −0.379185 0.656767i 0.611759 0.791044i \(-0.290462\pi\)
−0.990944 + 0.134277i \(0.957129\pi\)
\(710\) −5.86891e8 3.38842e8i −1.63977 0.946721i
\(711\) −7.12521e7 + 1.23412e8i −0.198239 + 0.343360i
\(712\) −910305. + 525565.i −0.00252201 + 0.00145608i
\(713\) 1.85065e6i 0.00510572i
\(714\) 1.19551e8 + 1.30557e8i 0.328442 + 0.358679i
\(715\) −1.20032e9 −3.28383
\(716\) −8.00089e7 1.38579e8i −0.217971 0.377537i
\(717\) 2.64778e8 + 1.52870e8i 0.718331 + 0.414728i
\(718\) −2.22013e8 + 3.84538e8i −0.599799 + 1.03888i
\(719\) 9.13702e7 5.27526e7i 0.245820 0.141924i −0.372029 0.928221i \(-0.621338\pi\)
0.617849 + 0.786297i \(0.288004\pi\)
\(720\) 1.67184e8i 0.447916i
\(721\) 3.83697e7 + 1.73356e8i 0.102372 + 0.462522i
\(722\) −3.65324e8 −0.970660
\(723\) −2.80515e7 4.85866e7i −0.0742234 0.128559i
\(724\) −4.89696e8 2.82726e8i −1.29036 0.744989i
\(725\) −9.65772e7 + 1.67277e8i −0.253431 + 0.438956i
\(726\) −3.84494e8 + 2.21988e8i −1.00480 + 0.580121i
\(727\) 3.47133e8i 0.903425i −0.892164 0.451713i \(-0.850813\pi\)
0.892164 0.451713i \(-0.149187\pi\)
\(728\) 8.05686e7 + 2.54336e7i 0.208820 + 0.0659194i
\(729\) −1.43489e7 −0.0370370
\(730\) 2.62180e8 + 4.54110e8i 0.673956 + 1.16733i
\(731\) 3.04507e7 + 1.75807e7i 0.0779552 + 0.0450074i
\(732\) 1.84006e8 3.18708e8i 0.469137 0.812568i
\(733\) −4.04599e8 + 2.33596e8i −1.02734 + 0.593134i −0.916221 0.400673i \(-0.868776\pi\)
−0.111117 + 0.993807i \(0.535443\pi\)
\(734\) 1.13121e9i 2.86058i
\(735\) −2.86612e8 2.00981e8i −0.721827 0.506167i
\(736\) 3.10594e7 0.0779040
\(737\) 3.58804e8 + 6.21467e8i 0.896304 + 1.55244i
\(738\) 1.66083e8 + 9.58879e7i 0.413195 + 0.238558i
\(739\) −1.98814e8 + 3.44356e8i −0.492623 + 0.853247i −0.999964 0.00849788i \(-0.997295\pi\)
0.507341 + 0.861745i \(0.330628\pi\)
\(740\) 4.33028e8 2.50009e8i 1.06861 0.616965i
\(741\) 1.88374e8i 0.462984i
\(742\) 2.63430e8 8.34494e8i 0.644842 2.04273i
\(743\) 6.88913e8 1.67957 0.839784 0.542920i \(-0.182681\pi\)
0.839784 + 0.542920i \(0.182681\pi\)
\(744\) 1.75784e6 + 3.04467e6i 0.00426836 + 0.00739302i
\(745\) 5.80080e8 + 3.34909e8i 1.40288 + 0.809951i
\(746\) 1.22215e8 2.11683e8i 0.294380 0.509881i
\(747\) −2.23865e7 + 1.29248e7i −0.0537061 + 0.0310073i
\(748\) 4.15475e8i 0.992751i
\(749\) 2.16591e8 4.79392e7i 0.515461 0.114089i
\(750\) 1.79140e8 0.424629
\(751\) −1.83282e8 3.17453e8i −0.432712 0.749480i 0.564393 0.825506i \(-0.309110\pi\)
−0.997106 + 0.0760260i \(0.975777\pi\)
\(752\) 4.60781e8 + 2.66032e8i 1.08353 + 0.625576i
\(753\) −5.06512e7 + 8.77305e7i −0.118633 + 0.205478i
\(754\) 2.85742e8 1.64973e8i 0.666592 0.384857i
\(755\) 1.23152e9i 2.86156i
\(756\) −6.79674e7 + 6.22377e7i −0.157302 + 0.144042i
\(757\) −2.07241e8 −0.477735 −0.238868 0.971052i \(-0.576776\pi\)
−0.238868 + 0.971052i \(0.576776\pi\)
\(758\) −2.39168e8 4.14252e8i −0.549157 0.951167i
\(759\) 1.83261e7 + 1.05806e7i 0.0419125 + 0.0241982i
\(760\) −3.03390e7 + 5.25487e7i −0.0691132 + 0.119708i
\(761\) −5.86021e8 + 3.38339e8i −1.32972 + 0.767712i −0.985256 0.171088i \(-0.945272\pi\)
−0.344461 + 0.938801i \(0.611938\pi\)
\(762\) 5.95757e8i 1.34649i
\(763\) 1.59198e8 + 1.73854e8i 0.358396 + 0.391390i
\(764\) 3.02285e8 0.677854
\(765\) −6.61007e7 1.14490e8i