Properties

Label 21.7.f.b.19.4
Level $21$
Weight $7$
Character 21.19
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: \(x^{8} - x^{7} + 212 x^{6} - 787 x^{5} + 38792 x^{4} - 92833 x^{3} + 1563109 x^{2} + 3107772 x + 38787984\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.4
Root \(-7.08935 + 12.2791i\) of defining polynomial
Character \(\chi\) \(=\) 21.19
Dual form 21.7.f.b.10.4

$q$-expansion

\(f(q)\) \(=\) \(q+(6.58935 - 11.4131i) q^{2} +(13.5000 - 7.79423i) q^{3} +(-54.8390 - 94.9839i) q^{4} +(-68.9069 - 39.7834i) q^{5} -205.435i q^{6} +(284.244 + 191.975i) q^{7} -601.976 q^{8} +(121.500 - 210.444i) q^{9} +O(q^{10})\) \(q+(6.58935 - 11.4131i) q^{2} +(13.5000 - 7.79423i) q^{3} +(-54.8390 - 94.9839i) q^{4} +(-68.9069 - 39.7834i) q^{5} -205.435i q^{6} +(284.244 + 191.975i) q^{7} -601.976 q^{8} +(121.500 - 210.444i) q^{9} +(-908.103 + 524.293i) q^{10} +(-411.119 - 712.080i) q^{11} +(-1480.65 - 854.855i) q^{12} +2429.15i q^{13} +(4064.01 - 1979.11i) q^{14} -1240.32 q^{15} +(-456.932 + 791.429i) q^{16} +(6751.11 - 3897.76i) q^{17} +(-1601.21 - 2773.38i) q^{18} +(5786.98 + 3341.12i) q^{19} +8726.73i q^{20} +(5333.59 + 376.196i) q^{21} -10836.0 q^{22} +(-9416.30 + 16309.5i) q^{23} +(-8126.67 + 4691.94i) q^{24} +(-4647.06 - 8048.94i) q^{25} +(27724.0 + 16006.5i) q^{26} -3788.00i q^{27} +(2646.85 - 37526.3i) q^{28} +13888.2 q^{29} +(-8172.93 + 14155.9i) q^{30} +(-24131.1 + 13932.1i) q^{31} +(-13241.5 - 22934.9i) q^{32} +(-11100.2 - 6408.72i) q^{33} -102735. i q^{34} +(-11949.0 - 24536.6i) q^{35} -26651.7 q^{36} +(-39837.6 + 69000.8i) q^{37} +(76264.9 - 44031.5i) q^{38} +(18933.3 + 32793.5i) q^{39} +(41480.3 + 23948.6i) q^{40} +59196.1i q^{41} +(39438.4 - 58393.8i) q^{42} -91825.9 q^{43} +(-45090.7 + 78099.4i) q^{44} +(-16744.4 + 9667.37i) q^{45} +(124095. + 214938. i) q^{46} +(-4347.44 - 2509.99i) q^{47} +14245.7i q^{48} +(43940.4 + 109135. i) q^{49} -122484. q^{50} +(60760.0 - 105239. i) q^{51} +(230730. - 133212. i) q^{52} +(-93194.8 - 161418. i) q^{53} +(-43232.7 - 24960.4i) q^{54} +65422.9i q^{55} +(-171108. - 115564. i) q^{56} +104166. q^{57} +(91514.3 - 158507. i) q^{58} +(195032. - 112602. i) q^{59} +(68018.1 + 117811. i) q^{60} +(-125018. - 72179.1i) q^{61} +367214. i q^{62} +(74935.6 - 36492.6i) q^{63} -407497. q^{64} +(96639.7 - 167385. i) q^{65} +(-146286. + 84458.5i) q^{66} +(117740. + 203932. i) q^{67} +(-740448. - 427498. i) q^{68} +293571. i q^{69} +(-358774. - 25305.5i) q^{70} +96269.3 q^{71} +(-73140.0 + 126682. i) q^{72} +(238634. - 137775. i) q^{73} +(525008. + 909340. i) q^{74} +(-125471. - 72440.5i) q^{75} -732893. i q^{76} +(19843.1 - 281329. i) q^{77} +499033. q^{78} +(340667. - 590052. i) q^{79} +(62971.5 - 36356.6i) q^{80} +(-29524.5 - 51137.9i) q^{81} +(675610. + 390064. i) q^{82} -128019. i q^{83} +(-256756. - 527235. i) q^{84} -620264. q^{85} +(-605073. + 1.04802e6i) q^{86} +(187491. - 108248. i) q^{87} +(247484. + 428655. i) q^{88} +(-322756. - 186343. i) q^{89} +254807. i q^{90} +(-466335. + 690470. i) q^{91} +2.06552e6 q^{92} +(-217180. + 376167. i) q^{93} +(-57293.5 + 33078.4i) q^{94} +(-265842. - 460452. i) q^{95} +(-357519. - 206414. i) q^{96} +620049. i q^{97} +(1.53511e6 + 217635. i) q^{98} -199804. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 5q^{2} + 108q^{3} - 173q^{4} - 42q^{5} + 748q^{7} - 454q^{8} + 972q^{9} + O(q^{10}) \) \( 8q - 5q^{2} + 108q^{3} - 173q^{4} - 42q^{5} + 748q^{7} - 454q^{8} + 972q^{9} + 261q^{10} - 1070q^{11} - 4671q^{12} + 6070q^{14} - 756q^{15} + 3911q^{16} + 7212q^{17} + 1215q^{18} - 24606q^{19} + 8154q^{21} - 78q^{22} - 15224q^{23} - 6129q^{24} + 22274q^{25} - 19044q^{26} - 3415q^{28} + 32524q^{29} + 2349q^{30} + 40200q^{31} + 70203q^{32} - 28890q^{33} - 242436q^{35} - 84078q^{36} - 45670q^{37} + 503310q^{38} + 93366q^{39} - 94941q^{40} + 55161q^{42} - 445660q^{43} - 188829q^{44} - 10206q^{45} + 525804q^{46} + 82884q^{47} + 24116q^{49} - 1218884q^{50} + 64908q^{51} + 722856q^{52} - 13034q^{53} + 32805q^{54} + 127061q^{56} - 442908q^{57} - 159501q^{58} + 1810362q^{59} + 429705q^{60} - 392856q^{61} + 38394q^{63} - 1410446q^{64} - 389004q^{65} - 1053q^{66} + 384094q^{67} - 1616346q^{68} + 406005q^{70} + 225688q^{71} - 55161q^{72} + 903078q^{73} + 1185530q^{74} + 601398q^{75} - 327674q^{77} - 342792q^{78} - 559592q^{79} + 847713q^{80} - 236196q^{81} + 347634q^{82} - 879444q^{84} + 1953576q^{85} - 2302402q^{86} + 439074q^{87} + 304887q^{88} - 1770036q^{89} - 2960718q^{91} - 113064q^{92} + 361800q^{93} - 1837620q^{94} + 1160112q^{95} + 1895481q^{96} + 5732467q^{98} - 520020q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.58935 11.4131i 0.823668 1.42664i −0.0792645 0.996854i \(-0.525257\pi\)
0.902933 0.429782i \(-0.141409\pi\)
\(3\) 13.5000 7.79423i 0.500000 0.288675i
\(4\) −54.8390 94.9839i −0.856859 1.48412i
\(5\) −68.9069 39.7834i −0.551255 0.318267i 0.198373 0.980127i \(-0.436434\pi\)
−0.749628 + 0.661859i \(0.769768\pi\)
\(6\) 205.435i 0.951090i
\(7\) 284.244 + 191.975i 0.828700 + 0.559693i
\(8\) −601.976 −1.17573
\(9\) 121.500 210.444i 0.166667 0.288675i
\(10\) −908.103 + 524.293i −0.908103 + 0.524293i
\(11\) −411.119 712.080i −0.308880 0.534996i 0.669238 0.743049i \(-0.266621\pi\)
−0.978118 + 0.208052i \(0.933288\pi\)
\(12\) −1480.65 854.855i −0.856859 0.494708i
\(13\) 2429.15i 1.10567i 0.833292 + 0.552833i \(0.186453\pi\)
−0.833292 + 0.552833i \(0.813547\pi\)
\(14\) 4064.01 1979.11i 1.48105 0.721251i
\(15\) −1240.32 −0.367503
\(16\) −456.932 + 791.429i −0.111556 + 0.193220i
\(17\) 6751.11 3897.76i 1.37413 0.793355i 0.382687 0.923878i \(-0.374999\pi\)
0.991445 + 0.130523i \(0.0416656\pi\)
\(18\) −1601.21 2773.38i −0.274556 0.475545i
\(19\) 5786.98 + 3341.12i 0.843706 + 0.487114i 0.858522 0.512776i \(-0.171383\pi\)
−0.0148160 + 0.999890i \(0.504716\pi\)
\(20\) 8726.73i 1.09084i
\(21\) 5333.59 + 376.196i 0.575919 + 0.0406215i
\(22\) −10836.0 −1.01766
\(23\) −9416.30 + 16309.5i −0.773921 + 1.34047i 0.161478 + 0.986876i \(0.448374\pi\)
−0.935399 + 0.353594i \(0.884959\pi\)
\(24\) −8126.67 + 4691.94i −0.587867 + 0.339405i
\(25\) −4647.06 8048.94i −0.297412 0.515132i
\(26\) 27724.0 + 16006.5i 1.57738 + 0.910701i
\(27\) 3788.00i 0.192450i
\(28\) 2646.85 37526.3i 0.120575 1.70947i
\(29\) 13888.2 0.569446 0.284723 0.958610i \(-0.408098\pi\)
0.284723 + 0.958610i \(0.408098\pi\)
\(30\) −8172.93 + 14155.9i −0.302701 + 0.524293i
\(31\) −24131.1 + 13932.1i −0.810014 + 0.467662i −0.846961 0.531655i \(-0.821570\pi\)
0.0369467 + 0.999317i \(0.488237\pi\)
\(32\) −13241.5 22934.9i −0.404097 0.699917i
\(33\) −11100.2 6408.72i −0.308880 0.178332i
\(34\) 102735.i 2.61385i
\(35\) −11949.0 24536.6i −0.278693 0.572282i
\(36\) −26651.7 −0.571239
\(37\) −39837.6 + 69000.8i −0.786481 + 1.36223i 0.141629 + 0.989920i \(0.454766\pi\)
−0.928110 + 0.372305i \(0.878567\pi\)
\(38\) 76264.9 44031.5i 1.38987 0.802441i
\(39\) 18933.3 + 32793.5i 0.319178 + 0.552833i
\(40\) 41480.3 + 23948.6i 0.648129 + 0.374198i
\(41\) 59196.1i 0.858898i 0.903091 + 0.429449i \(0.141292\pi\)
−0.903091 + 0.429449i \(0.858708\pi\)
\(42\) 39438.4 58393.8i 0.532319 0.788168i
\(43\) −91825.9 −1.15494 −0.577471 0.816411i \(-0.695960\pi\)
−0.577471 + 0.816411i \(0.695960\pi\)
\(44\) −45090.7 + 78099.4i −0.529333 + 0.916832i
\(45\) −16744.4 + 9667.37i −0.183752 + 0.106089i
\(46\) 124095. + 214938.i 1.27491 + 2.20821i
\(47\) −4347.44 2509.99i −0.0418735 0.0241757i 0.478917 0.877860i \(-0.341029\pi\)
−0.520791 + 0.853684i \(0.674363\pi\)
\(48\) 14245.7i 0.128813i
\(49\) 43940.4 + 109135.i 0.373487 + 0.927635i
\(50\) −122484. −0.979875
\(51\) 60760.0 105239.i 0.458044 0.793355i
\(52\) 230730. 133212.i 1.64094 0.947399i
\(53\) −93194.8 161418.i −0.625985 1.08424i −0.988350 0.152201i \(-0.951364\pi\)
0.362365 0.932036i \(-0.381970\pi\)
\(54\) −43232.7 24960.4i −0.274556 0.158515i
\(55\) 65422.9i 0.393226i
\(56\) −171108. 115564.i −0.974330 0.658050i
\(57\) 104166. 0.562471
\(58\) 91514.3 158507.i 0.469035 0.812392i
\(59\) 195032. 112602.i 0.949618 0.548262i 0.0566558 0.998394i \(-0.481956\pi\)
0.892962 + 0.450132i \(0.148623\pi\)
\(60\) 68018.1 + 117811.i 0.314899 + 0.545420i
\(61\) −125018. 72179.1i −0.550786 0.317996i 0.198653 0.980070i \(-0.436343\pi\)
−0.749439 + 0.662074i \(0.769677\pi\)
\(62\) 367214.i 1.54079i
\(63\) 74935.6 36492.6i 0.299686 0.145943i
\(64\) −407497. −1.55448
\(65\) 96639.7 167385.i 0.351897 0.609504i
\(66\) −146286. + 84458.5i −0.508830 + 0.293773i
\(67\) 117740. + 203932.i 0.391471 + 0.678048i 0.992644 0.121071i \(-0.0386329\pi\)
−0.601173 + 0.799119i \(0.705300\pi\)
\(68\) −740448. 427498.i −2.35487 1.35959i
\(69\) 293571.i 0.893647i
\(70\) −358774. 25305.5i −1.04599 0.0737770i
\(71\) 96269.3 0.268975 0.134488 0.990915i \(-0.457061\pi\)
0.134488 + 0.990915i \(0.457061\pi\)
\(72\) −73140.0 + 126682.i −0.195956 + 0.339405i
\(73\) 238634. 137775.i 0.613428 0.354163i −0.160878 0.986974i \(-0.551433\pi\)
0.774306 + 0.632812i \(0.218099\pi\)
\(74\) 525008. + 909340.i 1.29560 + 2.24404i
\(75\) −125471. 72440.5i −0.297412 0.171711i
\(76\) 732893.i 1.66955i
\(77\) 19843.1 281329.i 0.0434647 0.616229i
\(78\) 499033. 1.05159
\(79\) 340667. 590052.i 0.690953 1.19677i −0.280573 0.959833i \(-0.590524\pi\)
0.971526 0.236933i \(-0.0761423\pi\)
\(80\) 62971.5 36356.6i 0.122991 0.0710090i
\(81\) −29524.5 51137.9i −0.0555556 0.0962250i
\(82\) 675610. + 390064.i 1.22533 + 0.707447i
\(83\) 128019.i 0.223893i −0.993714 0.111946i \(-0.964291\pi\)
0.993714 0.111946i \(-0.0357085\pi\)
\(84\) −256756. 527235.i −0.433194 0.889542i
\(85\) −620264. −1.01000
\(86\) −605073. + 1.04802e6i −0.951288 + 1.64768i
\(87\) 187491. 108248.i 0.284723 0.164385i
\(88\) 247484. + 428655.i 0.363161 + 0.629013i
\(89\) −322756. 186343.i −0.457829 0.264328i 0.253302 0.967387i \(-0.418483\pi\)
−0.711131 + 0.703059i \(0.751817\pi\)
\(90\) 254807.i 0.349529i
\(91\) −466335. + 690470.i −0.618833 + 0.916265i
\(92\) 2.06552e6 2.65257
\(93\) −217180. + 376167.i −0.270005 + 0.467662i
\(94\) −57293.5 + 33078.4i −0.0689798 + 0.0398255i
\(95\) −265842. 460452.i −0.310065 0.537048i
\(96\) −357519. 206414.i −0.404097 0.233306i
\(97\) 620049.i 0.679377i 0.940538 + 0.339688i \(0.110322\pi\)
−0.940538 + 0.339688i \(0.889678\pi\)
\(98\) 1.53511e6 + 217635.i 1.63103 + 0.231234i
\(99\) −199804. −0.205920
\(100\) −509680. + 882792.i −0.509680 + 0.882792i
\(101\) −578698. + 334111.i −0.561678 + 0.324285i −0.753819 0.657082i \(-0.771790\pi\)
0.192141 + 0.981367i \(0.438457\pi\)
\(102\) −800737. 1.38692e6i −0.754553 1.30692i
\(103\) 1.34180e6 + 774691.i 1.22794 + 0.708952i 0.966599 0.256294i \(-0.0825016\pi\)
0.261342 + 0.965246i \(0.415835\pi\)
\(104\) 1.46229e6i 1.29997i
\(105\) −352555. 238111.i −0.304550 0.205689i
\(106\) −2.45637e6 −2.06242
\(107\) 477948. 827829.i 0.390148 0.675755i −0.602321 0.798254i \(-0.705757\pi\)
0.992469 + 0.122498i \(0.0390906\pi\)
\(108\) −359799. + 207730.i −0.285620 + 0.164903i
\(109\) −785863. 1.36115e6i −0.606830 1.05106i −0.991759 0.128115i \(-0.959107\pi\)
0.384929 0.922946i \(-0.374226\pi\)
\(110\) 746677. + 431094.i 0.560990 + 0.323888i
\(111\) 1.24201e6i 0.908150i
\(112\) −281814. + 137240.i −0.200590 + 0.0976845i
\(113\) −2.47576e6 −1.71582 −0.857912 0.513797i \(-0.828238\pi\)
−0.857912 + 0.513797i \(0.828238\pi\)
\(114\) 686384. 1.18885e6i 0.463289 0.802441i
\(115\) 1.29770e6 749225.i 0.853256 0.492628i
\(116\) −761615. 1.31916e6i −0.487935 0.845128i
\(117\) 511200. + 295141.i 0.319178 + 0.184278i
\(118\) 2.96788e6i 1.80634i
\(119\) 2.66723e6 + 188129.i 1.58278 + 0.111639i
\(120\) 746645. 0.432086
\(121\) 547742. 948717.i 0.309186 0.535526i
\(122\) −1.64757e6 + 951226.i −0.907329 + 0.523847i
\(123\) 461388. + 799148.i 0.247943 + 0.429449i
\(124\) 2.64665e6 + 1.52805e6i 1.38814 + 0.801441i
\(125\) 1.98274e6i 1.01516i
\(126\) 77283.9 1.09571e6i 0.0386347 0.547751i
\(127\) 292592. 0.142840 0.0714202 0.997446i \(-0.477247\pi\)
0.0714202 + 0.997446i \(0.477247\pi\)
\(128\) −1.83769e6 + 3.18297e6i −0.876278 + 1.51776i
\(129\) −1.23965e6 + 715712.i −0.577471 + 0.333403i
\(130\) −1.27359e6 2.20591e6i −0.579693 1.00406i
\(131\) −2.36324e6 1.36442e6i −1.05122 0.606924i −0.128231 0.991744i \(-0.540930\pi\)
−0.922991 + 0.384820i \(0.874263\pi\)
\(132\) 1.40579e6i 0.611222i
\(133\) 1.00351e6 + 2.06065e6i 0.426545 + 0.875888i
\(134\) 3.10332e6 1.28977
\(135\) −150699. + 261019.i −0.0612506 + 0.106089i
\(136\) −4.06400e6 + 2.34635e6i −1.61561 + 0.932775i
\(137\) 453922. + 786216.i 0.176530 + 0.305760i 0.940690 0.339268i \(-0.110179\pi\)
−0.764159 + 0.645027i \(0.776846\pi\)
\(138\) 3.35055e6 + 1.93444e6i 1.27491 + 0.736069i
\(139\) 4640.07i 0.00172775i −1.00000 0.000863874i \(-0.999725\pi\)
1.00000 0.000863874i \(-0.000274980\pi\)
\(140\) −1.67531e6 + 2.48052e6i −0.610536 + 0.903980i
\(141\) −78253.8 −0.0279157
\(142\) 634352. 1.09873e6i 0.221547 0.383730i
\(143\) 1.72975e6 998669.i 0.591526 0.341518i
\(144\) 111034. + 192317.i 0.0371852 + 0.0644066i
\(145\) −956994. 552521.i −0.313910 0.181236i
\(146\) 3.63140e6i 1.16685i
\(147\) 1.44382e6 + 1.13085e6i 0.454529 + 0.356001i
\(148\) 8.73862e6 2.69561
\(149\) 823601. 1.42652e6i 0.248976 0.431240i −0.714266 0.699875i \(-0.753239\pi\)
0.963242 + 0.268635i \(0.0865725\pi\)
\(150\) −1.65354e6 + 954671.i −0.489937 + 0.282865i
\(151\) 1.22295e6 + 2.11820e6i 0.355203 + 0.615229i 0.987153 0.159780i \(-0.0510785\pi\)
−0.631950 + 0.775009i \(0.717745\pi\)
\(152\) −3.48362e6 2.01127e6i −0.991974 0.572716i
\(153\) 1.89431e6i 0.528904i
\(154\) −3.08008e6 2.08024e6i −0.843334 0.569577i
\(155\) 2.21707e6 0.595366
\(156\) 2.07657e6 3.59672e6i 0.546981 0.947399i
\(157\) −2.43822e6 + 1.40771e6i −0.630049 + 0.363759i −0.780771 0.624817i \(-0.785174\pi\)
0.150722 + 0.988576i \(0.451840\pi\)
\(158\) −4.48954e6 7.77612e6i −1.13823 1.97148i
\(159\) −2.51626e6 1.45276e6i −0.625985 0.361413i
\(160\) 2.10716e6i 0.514444i
\(161\) −5.80754e6 + 2.82819e6i −1.39160 + 0.677690i
\(162\) −778189. −0.183037
\(163\) 781407. 1.35344e6i 0.180432 0.312518i −0.761596 0.648053i \(-0.775584\pi\)
0.942028 + 0.335535i \(0.108917\pi\)
\(164\) 5.62268e6 3.24625e6i 1.27471 0.735955i
\(165\) 509921. + 883210.i 0.113515 + 0.196613i
\(166\) −1.46109e6 843562.i −0.319414 0.184414i
\(167\) 1.15538e6i 0.248070i 0.992278 + 0.124035i \(0.0395835\pi\)
−0.992278 + 0.124035i \(0.960416\pi\)
\(168\) −3.21069e6 226461.i −0.677128 0.0477600i
\(169\) −1.07394e6 −0.222495
\(170\) −4.08713e6 + 7.07913e6i −0.831902 + 1.44090i
\(171\) 1.40624e6 811891.i 0.281235 0.162371i
\(172\) 5.03564e6 + 8.72198e6i 0.989622 + 1.71408i
\(173\) −4.98920e6 2.88052e6i −0.963591 0.556330i −0.0663149 0.997799i \(-0.521124\pi\)
−0.897277 + 0.441469i \(0.854458\pi\)
\(174\) 2.85313e6i 0.541594i
\(175\) 224295. 3.17998e6i 0.0418509 0.593350i
\(176\) 751414. 0.137829
\(177\) 1.75528e6 3.04024e6i 0.316539 0.548262i
\(178\) −4.25350e6 + 2.45576e6i −0.754199 + 0.435437i
\(179\) 597801. + 1.03542e6i 0.104231 + 0.180534i 0.913424 0.407010i \(-0.133429\pi\)
−0.809193 + 0.587543i \(0.800095\pi\)
\(180\) 1.83649e6 + 1.06030e6i 0.314899 + 0.181807i
\(181\) 1.00030e7i 1.68692i 0.537191 + 0.843461i \(0.319486\pi\)
−0.537191 + 0.843461i \(0.680514\pi\)
\(182\) 4.80756e6 + 9.87207e6i 0.797462 + 1.63755i
\(183\) −2.25032e6 −0.367190
\(184\) 5.66838e6 9.81793e6i 0.909925 1.57604i
\(185\) 5.49017e6 3.16975e6i 0.867104 0.500622i
\(186\) 2.86215e6 + 4.95739e6i 0.444789 + 0.770397i
\(187\) −5.55102e6 3.20489e6i −0.848884 0.490103i
\(188\) 550582.i 0.0828606i
\(189\) 727199. 1.07672e6i 0.107713 0.159483i
\(190\) −7.00690e6 −1.02156
\(191\) 3.79135e6 6.56682e6i 0.544120 0.942443i −0.454542 0.890725i \(-0.650197\pi\)
0.998662 0.0517175i \(-0.0164695\pi\)
\(192\) −5.50122e6 + 3.17613e6i −0.777240 + 0.448740i
\(193\) −3.54806e6 6.14542e6i −0.493537 0.854830i 0.506436 0.862278i \(-0.330963\pi\)
−0.999972 + 0.00744730i \(0.997629\pi\)
\(194\) 7.07667e6 + 4.08572e6i 0.969223 + 0.559581i
\(195\) 3.01293e6i 0.406336i
\(196\) 7.95645e6 1.01585e7i 1.05670 1.34915i
\(197\) 2.00096e6 0.261722 0.130861 0.991401i \(-0.458226\pi\)
0.130861 + 0.991401i \(0.458226\pi\)
\(198\) −1.31658e6 + 2.28038e6i −0.169610 + 0.293773i
\(199\) −3.76381e6 + 2.17304e6i −0.477605 + 0.275745i −0.719418 0.694578i \(-0.755591\pi\)
0.241813 + 0.970323i \(0.422258\pi\)
\(200\) 2.79742e6 + 4.84527e6i 0.349677 + 0.605658i
\(201\) 3.17898e6 + 1.83539e6i 0.391471 + 0.226016i
\(202\) 8.80630e6i 1.06841i
\(203\) 3.94764e6 + 2.66619e6i 0.471900 + 0.318715i
\(204\) −1.33281e7 −1.56992
\(205\) 2.35502e6 4.07902e6i 0.273359 0.473472i
\(206\) 1.76832e7 1.02094e7i 2.02283 1.16788i
\(207\) 2.28816e6 + 3.96321e6i 0.257974 + 0.446824i
\(208\) −1.92250e6 1.10995e6i −0.213637 0.123343i
\(209\) 5.49439e6i 0.601839i
\(210\) −5.04069e6 + 2.45474e6i −0.544292 + 0.265062i
\(211\) 1.03642e7 1.10328 0.551641 0.834082i \(-0.314002\pi\)
0.551641 + 0.834082i \(0.314002\pi\)
\(212\) −1.02214e7 + 1.77040e7i −1.07276 + 1.85808i
\(213\) 1.29964e6 750345.i 0.134488 0.0776465i
\(214\) −6.29872e6 1.09097e7i −0.642704 1.11320i
\(215\) 6.32744e6 + 3.65315e6i 0.636667 + 0.367580i
\(216\) 2.28028e6i 0.226270i
\(217\) −9.53375e6 672446.i −0.933006 0.0658079i
\(218\) −2.07133e7 −1.99931
\(219\) 2.14770e6 3.71993e6i 0.204476 0.354163i
\(220\) 6.21413e6 3.58773e6i 0.583596 0.336939i
\(221\) 9.46822e6 + 1.63994e7i 0.877185 + 1.51933i
\(222\) 1.41752e7 + 8.18406e6i 1.29560 + 0.748014i
\(223\) 4.84791e6i 0.437159i −0.975819 0.218580i \(-0.929858\pi\)
0.975819 0.218580i \(-0.0701424\pi\)
\(224\) 639111. 9.06113e6i 0.0568633 0.806192i
\(225\) −2.25847e6 −0.198275
\(226\) −1.63136e7 + 2.82560e7i −1.41327 + 2.44785i
\(227\) −1.30838e7 + 7.55396e6i −1.11856 + 0.645798i −0.941032 0.338318i \(-0.890142\pi\)
−0.177524 + 0.984117i \(0.556809\pi\)
\(228\) −5.71234e6 9.89406e6i −0.481958 0.834776i
\(229\) −3.68382e6 2.12685e6i −0.306755 0.177105i 0.338718 0.940888i \(-0.390007\pi\)
−0.645474 + 0.763783i \(0.723340\pi\)
\(230\) 1.97476e7i 1.62305i
\(231\) −1.92486e6 3.95260e6i −0.156158 0.320662i
\(232\) −8.36037e6 −0.669517
\(233\) −6.29087e6 + 1.08961e7i −0.497328 + 0.861397i −0.999995 0.00308269i \(-0.999019\pi\)
0.502667 + 0.864480i \(0.332352\pi\)
\(234\) 6.73694e6 3.88958e6i 0.525794 0.303567i
\(235\) 199712. + 345912.i 0.0153887 + 0.0266540i
\(236\) −2.13907e7 1.23499e7i −1.62738 0.939567i
\(237\) 1.06209e7i 0.797844i
\(238\) 1.97225e7 2.92017e7i 1.46295 2.16609i
\(239\) 7.54342e6 0.552554 0.276277 0.961078i \(-0.410899\pi\)
0.276277 + 0.961078i \(0.410899\pi\)
\(240\) 566743. 981628.i 0.0409971 0.0710090i
\(241\) 1.69553e7 9.78914e6i 1.21131 0.699348i 0.248262 0.968693i \(-0.420140\pi\)
0.963044 + 0.269345i \(0.0868071\pi\)
\(242\) −7.21853e6 1.25029e7i −0.509334 0.882192i
\(243\) −797162. 460241.i −0.0555556 0.0320750i
\(244\) 1.58329e7i 1.08991i
\(245\) 1.31398e6 9.26828e6i 0.0893492 0.630233i
\(246\) 1.21610e7 0.816890
\(247\) −8.11606e6 + 1.40574e7i −0.538585 + 0.932857i
\(248\) 1.45264e7 8.38679e6i 0.952361 0.549846i
\(249\) −997810. 1.72826e6i −0.0646323 0.111946i
\(250\) 2.26291e7 + 1.30649e7i 1.44826 + 0.836156i
\(251\) 1.39590e7i 0.882743i −0.897324 0.441372i \(-0.854492\pi\)
0.897324 0.441372i \(-0.145508\pi\)
\(252\) −7.57560e6 5.11646e6i −0.473386 0.319719i
\(253\) 1.54849e7 0.956195
\(254\) 1.92799e6 3.33938e6i 0.117653 0.203781i
\(255\) −8.37356e6 + 4.83448e6i −0.504998 + 0.291561i
\(256\) 1.11784e7 + 1.93616e7i 0.666285 + 1.15404i
\(257\) −567649. 327732.i −0.0334411 0.0193072i 0.483186 0.875518i \(-0.339479\pi\)
−0.516627 + 0.856210i \(0.672813\pi\)
\(258\) 1.88643e7i 1.09845i
\(259\) −2.45700e7 + 1.19652e7i −1.41418 + 0.688688i
\(260\) −2.11985e7 −1.20610
\(261\) 1.68742e6 2.92269e6i 0.0949076 0.164385i
\(262\) −3.11445e7 + 1.79813e7i −1.73172 + 0.999808i
\(263\) 7.46998e6 + 1.29384e7i 0.410632 + 0.711235i 0.994959 0.100283i \(-0.0319749\pi\)
−0.584327 + 0.811518i \(0.698642\pi\)
\(264\) 6.68206e6 + 3.85789e6i 0.363161 + 0.209671i
\(265\) 1.48304e7i 0.796922i
\(266\) 3.01308e7 + 2.12522e6i 1.60090 + 0.112917i
\(267\) −5.80960e6 −0.305220
\(268\) 1.29135e7 2.23668e7i 0.670871 1.16198i
\(269\) −2.72017e7 + 1.57049e7i −1.39746 + 0.806825i −0.994126 0.108227i \(-0.965483\pi\)
−0.403335 + 0.915052i \(0.632149\pi\)
\(270\) 1.98602e6 + 3.43989e6i 0.100900 + 0.174764i
\(271\) −1.29500e6 747670.i −0.0650673 0.0375666i 0.467113 0.884197i \(-0.345294\pi\)
−0.532181 + 0.846631i \(0.678627\pi\)
\(272\) 7.12403e6i 0.354013i
\(273\) −913834. + 1.29561e7i −0.0449138 + 0.636774i
\(274\) 1.19642e7 0.581610
\(275\) −3.82099e6 + 6.61815e6i −0.183729 + 0.318228i
\(276\) 2.78845e7 1.60991e7i 1.32628 0.765730i
\(277\) 991747. + 1.71776e6i 0.0466618 + 0.0808207i 0.888413 0.459045i \(-0.151808\pi\)
−0.841751 + 0.539866i \(0.818475\pi\)
\(278\) −52957.5 30575.1i −0.00246487 0.00142309i
\(279\) 6.77101e6i 0.311775i
\(280\) 7.19299e6 + 1.47704e7i 0.327669 + 0.672851i
\(281\) −3.50353e6 −0.157902 −0.0789508 0.996879i \(-0.525157\pi\)
−0.0789508 + 0.996879i \(0.525157\pi\)
\(282\) −515642. + 893117.i −0.0229933 + 0.0398255i
\(283\) 2.82715e7 1.63226e7i 1.24736 0.720161i 0.276774 0.960935i \(-0.410735\pi\)
0.970581 + 0.240774i \(0.0774012\pi\)
\(284\) −5.27931e6 9.14403e6i −0.230474 0.399193i
\(285\) −7.17773e6 4.14407e6i −0.310065 0.179016i
\(286\) 2.63223e7i 1.12519i
\(287\) −1.13642e7 + 1.68261e7i −0.480719 + 0.711769i
\(288\) −6.43535e6 −0.269398
\(289\) 1.83162e7 3.17246e7i 0.758826 1.31432i
\(290\) −1.26119e7 + 7.28150e6i −0.517115 + 0.298557i
\(291\) 4.83280e6 + 8.37066e6i 0.196119 + 0.339688i
\(292\) −2.61729e7 1.51109e7i −1.05124 0.606935i
\(293\) 2.57653e7i 1.02431i 0.858892 + 0.512156i \(0.171153\pi\)
−0.858892 + 0.512156i \(0.828847\pi\)
\(294\) 2.24203e7 9.02692e6i 0.882265 0.355220i
\(295\) −1.79187e7 −0.697976
\(296\) 2.39813e7 4.15368e7i 0.924692 1.60161i
\(297\) −2.69735e6 + 1.55732e6i −0.102960 + 0.0594440i
\(298\) −1.08540e7 1.87996e7i −0.410148 0.710397i
\(299\) −3.96182e7 2.28736e7i −1.48211 0.855698i
\(300\) 1.58902e7i 0.588528i
\(301\) −2.61010e7 1.76283e7i −0.957100 0.646413i
\(302\) 3.22336e7 1.17028
\(303\) −5.20828e6 + 9.02100e6i −0.187226 + 0.324285i
\(304\) −5.28851e6 + 3.05332e6i −0.188240 + 0.108681i
\(305\) 5.74306e6 + 9.94727e6i 0.202416 + 0.350594i
\(306\) −2.16199e7 1.24823e7i −0.754553 0.435641i
\(307\) 1.89894e7i 0.656289i −0.944628 0.328145i \(-0.893577\pi\)
0.944628 0.328145i \(-0.106423\pi\)
\(308\) −2.78099e7 + 1.35430e7i −0.951803 + 0.463515i
\(309\) 2.41525e7 0.818627
\(310\) 1.46090e7 2.53036e7i 0.490384 0.849370i
\(311\) 2.80365e7 1.61869e7i 0.932057 0.538124i 0.0445958 0.999005i \(-0.485800\pi\)
0.887462 + 0.460881i \(0.152467\pi\)
\(312\) −1.13974e7 1.97409e7i −0.375268 0.649984i
\(313\) 2.81397e7 + 1.62465e7i 0.917671 + 0.529818i 0.882891 0.469577i \(-0.155594\pi\)
0.0347798 + 0.999395i \(0.488927\pi\)
\(314\) 3.71035e7i 1.19847i
\(315\) −6.61538e6 466604.i −0.211652 0.0149285i
\(316\) −7.47273e7 −2.36820
\(317\) 8.17142e6 1.41533e7i 0.256519 0.444304i −0.708788 0.705422i \(-0.750758\pi\)
0.965307 + 0.261118i \(0.0840910\pi\)
\(318\) −3.31610e7 + 1.91455e7i −1.03121 + 0.595368i
\(319\) −5.70972e6 9.88952e6i −0.175891 0.304651i
\(320\) 2.80794e7 + 1.62116e7i 0.856915 + 0.494740i
\(321\) 1.49009e7i 0.450504i
\(322\) −5.98953e6 + 8.49179e7i −0.179401 + 2.54350i
\(323\) 5.20914e7 1.54582
\(324\) −3.23819e6 + 5.60870e6i −0.0952065 + 0.164903i
\(325\) 1.95521e7 1.12884e7i 0.569564 0.328838i
\(326\) −1.02979e7 1.78365e7i −0.297233 0.514822i
\(327\) −2.12183e7 1.22504e7i −0.606830 0.350354i
\(328\) 3.56346e7i 1.00984i
\(329\) −753878. 1.54805e6i −0.0211696 0.0434707i
\(330\) 1.34402e7 0.373993
\(331\) −2.58785e7 + 4.48229e7i −0.713601 + 1.23599i 0.249896 + 0.968273i \(0.419604\pi\)
−0.963497 + 0.267720i \(0.913730\pi\)
\(332\) −1.21598e7 + 7.02044e6i −0.332285 + 0.191845i
\(333\) 9.68054e6 + 1.67672e7i 0.262160 + 0.454075i
\(334\) 1.31864e7 + 7.61318e6i 0.353905 + 0.204327i
\(335\) 1.87364e7i 0.498370i
\(336\) −2.73482e6 + 4.04926e6i −0.0720959 + 0.106748i
\(337\) 6.13986e7 1.60424 0.802119 0.597164i \(-0.203706\pi\)
0.802119 + 0.597164i \(0.203706\pi\)
\(338\) −7.07658e6 + 1.22570e7i −0.183262 + 0.317420i
\(339\) −3.34227e7 + 1.92966e7i −0.857912 + 0.495316i
\(340\) 3.40146e7 + 5.89151e7i 0.865424 + 1.49896i
\(341\) 1.98416e7 + 1.14555e7i 0.500395 + 0.288903i
\(342\) 2.13993e7i 0.534961i
\(343\) −8.46143e6 + 3.94565e7i −0.209682 + 0.977770i
\(344\) 5.52770e7 1.35790
\(345\) 1.16793e7 2.02291e7i 0.284419 0.492628i
\(346\) −6.57512e7 + 3.79615e7i −1.58736 + 0.916462i
\(347\) −1.77833e7 3.08017e7i −0.425623 0.737200i 0.570855 0.821051i \(-0.306612\pi\)
−0.996478 + 0.0838501i \(0.973278\pi\)
\(348\) −2.05636e7 1.18724e7i −0.487935 0.281709i
\(349\) 5.17156e7i 1.21659i −0.793710 0.608297i \(-0.791853\pi\)
0.793710 0.608297i \(-0.208147\pi\)
\(350\) −3.48154e7 2.35139e7i −0.812022 0.548429i
\(351\) 9.20159e6 0.212785
\(352\) −1.08876e7 + 1.88579e7i −0.249635 + 0.432381i
\(353\) −669058. + 386281.i −0.0152104 + 0.00878171i −0.507586 0.861601i \(-0.669462\pi\)
0.492376 + 0.870383i \(0.336129\pi\)
\(354\) −2.31324e7 4.00664e7i −0.521447 0.903172i
\(355\) −6.63362e6 3.82992e6i −0.148274 0.0856061i
\(356\) 4.08754e7i 0.905967i
\(357\) 3.74740e7 1.82493e7i 0.823617 0.401090i
\(358\) 1.57565e7 0.343407
\(359\) 2.08340e7 3.60856e7i 0.450287 0.779920i −0.548117 0.836402i \(-0.684655\pi\)
0.998404 + 0.0564819i \(0.0179883\pi\)
\(360\) 1.00797e7 5.81952e6i 0.216043 0.124733i
\(361\) −1.19684e6 2.07298e6i −0.0254398 0.0440630i
\(362\) 1.14165e8 + 6.59133e7i 2.40662 + 1.38946i
\(363\) 1.70769e7i 0.357017i
\(364\) 9.11569e7 + 6.42959e6i 1.89010 + 0.133315i
\(365\) −2.19247e7 −0.450874
\(366\) −1.48281e7 + 2.56831e7i −0.302443 + 0.523847i
\(367\) 5.71734e6 3.30091e6i 0.115663 0.0667783i −0.441052 0.897481i \(-0.645395\pi\)
0.556716 + 0.830703i \(0.312061\pi\)
\(368\) −8.60521e6 1.49047e7i −0.172670 0.299074i
\(369\) 1.24575e7 + 7.19233e6i 0.247943 + 0.143150i
\(370\) 8.35464e7i 1.64939i
\(371\) 4.49813e6 6.37732e7i 0.0880867 1.24887i
\(372\) 4.76398e7 0.925424
\(373\) 2.47581e6 4.28823e6i 0.0477080 0.0826326i −0.841185 0.540747i \(-0.818142\pi\)
0.888893 + 0.458114i \(0.151475\pi\)
\(374\) −7.31553e7 + 4.22362e7i −1.39840 + 0.807365i
\(375\) 1.54539e7 + 2.67669e7i 0.293052 + 0.507580i
\(376\) 2.61705e6 + 1.51095e6i 0.0492321 + 0.0284242i
\(377\) 3.37365e7i 0.629616i
\(378\) −7.49687e6 1.53944e7i −0.138805 0.285029i
\(379\) −1.05876e8 −1.94482 −0.972409 0.233282i \(-0.925053\pi\)
−0.972409 + 0.233282i \(0.925053\pi\)
\(380\) −2.91570e7 + 5.05014e7i −0.531364 + 0.920349i
\(381\) 3.94999e6 2.28053e6i 0.0714202 0.0412345i
\(382\) −4.99651e7 8.65421e7i −0.896348 1.55252i
\(383\) −4.26092e7 2.46004e7i −0.758414 0.437871i 0.0703117 0.997525i \(-0.477601\pi\)
−0.828726 + 0.559654i \(0.810934\pi\)
\(384\) 5.72935e7i 1.01184i
\(385\) −1.25596e7 + 1.85961e7i −0.220086 + 0.325866i
\(386\) −9.35177e7 −1.62604
\(387\) −1.11568e7 + 1.93242e7i −0.192490 + 0.333403i
\(388\) 5.88947e7 3.40028e7i 1.00828 0.582130i
\(389\) −3.33099e7 5.76945e7i −0.565880 0.980134i −0.996967 0.0778231i \(-0.975203\pi\)
0.431087 0.902310i \(-0.358130\pi\)
\(390\) −3.43868e7 1.98532e7i −0.579693 0.334686i
\(391\) 1.46810e8i 2.45598i
\(392\) −2.64511e7 6.56968e7i −0.439122 1.09065i
\(393\) −4.25384e7 −0.700815
\(394\) 1.31850e7 2.28372e7i 0.215572 0.373382i
\(395\) −4.69486e7 + 2.71058e7i −0.761783 + 0.439816i
\(396\) 1.09570e7 + 1.89782e7i 0.176444 + 0.305611i
\(397\) 4.16040e7 + 2.40201e7i 0.664911 + 0.383887i 0.794146 0.607727i \(-0.207919\pi\)
−0.129234 + 0.991614i \(0.541252\pi\)
\(398\) 5.72756e7i 0.908491i
\(399\) 2.96085e7 + 1.99972e7i 0.466120 + 0.314811i
\(400\) 8.49355e6 0.132712
\(401\) −6.97156e6 + 1.20751e7i −0.108118 + 0.187265i −0.915008 0.403436i \(-0.867816\pi\)
0.806890 + 0.590702i \(0.201149\pi\)
\(402\) 4.18948e7 2.41880e7i 0.644885 0.372324i
\(403\) −3.38431e7 5.86180e7i −0.517077 0.895604i
\(404\) 6.34704e7 + 3.66446e7i 0.962558 + 0.555733i
\(405\) 4.69834e6i 0.0707261i
\(406\) 5.64418e7 2.74864e7i 0.843379 0.410714i
\(407\) 6.55121e7 0.971713
\(408\) −3.65760e7 + 6.33515e7i −0.538538 + 0.932775i
\(409\) 1.93849e7 1.11919e7i 0.283331 0.163581i −0.351599 0.936151i \(-0.614362\pi\)
0.634931 + 0.772569i \(0.281029\pi\)
\(410\) −3.10361e7 5.37562e7i −0.450315 0.779968i
\(411\) 1.22559e7 + 7.07594e6i 0.176530 + 0.101920i
\(412\) 1.69933e8i 2.42989i
\(413\) 7.70532e7 + 5.43482e6i 1.09381 + 0.0771498i
\(414\) 6.03099e7 0.849939
\(415\) −5.09304e6 + 8.82140e6i −0.0712578 + 0.123422i
\(416\) 5.57122e7 3.21654e7i 0.773874 0.446796i
\(417\) −36165.8 62641.0i −0.000498758 0.000863874i
\(418\) −6.27079e7 3.62044e7i −0.858605 0.495716i
\(419\) 5.41233e7i 0.735770i −0.929871 0.367885i \(-0.880082\pi\)
0.929871 0.367885i \(-0.119918\pi\)
\(420\) −3.28296e6 + 4.65448e7i −0.0443116 + 0.628236i
\(421\) −1.30034e8 −1.74265 −0.871323 0.490709i \(-0.836738\pi\)
−0.871323 + 0.490709i \(0.836738\pi\)
\(422\) 6.82930e7 1.18287e8i 0.908738 1.57398i
\(423\) −1.05643e6 + 609928.i −0.0139578 + 0.00805856i
\(424\) 5.61010e7 + 9.71697e7i 0.735992 + 1.27477i
\(425\) −6.27456e7 3.62262e7i −0.817366 0.471907i
\(426\) 1.97771e7i 0.255820i
\(427\) −2.16790e7 4.45167e7i −0.278456 0.571794i
\(428\) −1.04841e8 −1.33721
\(429\) 1.55677e7 2.69641e7i 0.197175 0.341518i
\(430\) 8.33874e7 4.81437e7i 1.04881 0.605528i
\(431\) 5.99710e7 + 1.03873e8i 0.749047 + 1.29739i 0.948280 + 0.317436i \(0.102822\pi\)
−0.199233 + 0.979952i \(0.563845\pi\)
\(432\) 2.99793e6 + 1.73085e6i 0.0371852 + 0.0214689i
\(433\) 1.11549e8i 1.37404i 0.726636 + 0.687022i \(0.241083\pi\)
−0.726636 + 0.687022i \(0.758917\pi\)
\(434\) −7.04958e7 + 1.04378e8i −0.862371 + 1.27686i
\(435\) −1.72259e7 −0.209273
\(436\) −8.61918e7 + 1.49289e8i −1.03994 + 1.80122i
\(437\) −1.08984e8 + 6.29219e7i −1.30592 + 0.753976i
\(438\) −2.83039e7 4.90239e7i −0.336841 0.583425i
\(439\) 1.06743e8 + 6.16284e7i 1.26168 + 0.728429i 0.973399 0.229118i \(-0.0735842\pi\)
0.288277 + 0.957547i \(0.406918\pi\)
\(440\) 3.93830e7i 0.462329i
\(441\) 2.83057e7 + 4.01295e6i 0.330033 + 0.0467894i
\(442\) 2.49557e8 2.89004
\(443\) 3.55708e7 6.16104e7i 0.409150 0.708669i −0.585645 0.810568i \(-0.699159\pi\)
0.994795 + 0.101899i \(0.0324919\pi\)
\(444\) 1.17971e8 6.81108e7i 1.34781 0.778157i
\(445\) 1.48267e7 + 2.56806e7i 0.168254 + 0.291424i
\(446\) −5.53296e7 3.19445e7i −0.623667 0.360074i
\(447\) 2.56773e7i 0.287493i
\(448\) −1.15829e8 7.82292e7i −1.28820 0.870031i
\(449\) −1.07566e8 −1.18833 −0.594165 0.804343i \(-0.702517\pi\)
−0.594165 + 0.804343i \(0.702517\pi\)
\(450\) −1.48818e7 + 2.57761e7i −0.163312 + 0.282865i
\(451\) 4.21524e7 2.43367e7i 0.459507 0.265297i
\(452\) 1.35768e8 + 2.35157e8i 1.47022 + 2.54649i
\(453\) 3.30195e7 + 1.90638e7i 0.355203 + 0.205076i
\(454\) 1.99103e8i 2.12769i
\(455\) 5.96030e7 2.90258e7i 0.632752 0.308141i
\(456\) −6.27052e7 −0.661316
\(457\) −6.43381e6 + 1.11437e7i −0.0674093 + 0.116756i −0.897760 0.440485i \(-0.854807\pi\)
0.830351 + 0.557241i \(0.188140\pi\)
\(458\) −4.85479e7 + 2.80292e7i −0.505329 + 0.291752i
\(459\) −1.47647e7 2.55732e7i −0.152681 0.264452i
\(460\) −1.42329e8 8.21735e7i −1.46224 0.844225i
\(461\) 7.08717e6i 0.0723386i −0.999346 0.0361693i \(-0.988484\pi\)
0.999346 0.0361693i \(-0.0115156\pi\)
\(462\) −5.77950e7 4.07647e6i −0.586090 0.0413388i
\(463\) 1.44698e8 1.45788 0.728938 0.684580i \(-0.240014\pi\)
0.728938 + 0.684580i \(0.240014\pi\)
\(464\) −6.34596e6 + 1.09915e7i −0.0635249 + 0.110028i
\(465\) 2.99304e7 1.72803e7i 0.297683 0.171867i
\(466\) 8.29054e7 + 1.43596e8i 0.819267 + 1.41901i
\(467\) 7.34759e7 + 4.24214e7i 0.721431 + 0.416518i 0.815279 0.579068i \(-0.196584\pi\)
−0.0938485 + 0.995586i \(0.529917\pi\)
\(468\) 6.47410e7i 0.631599i
\(469\) −5.68283e6 + 8.05695e7i −0.0550866 + 0.781002i
\(470\) 5.26389e6 0.0507006
\(471\) −2.19440e7 + 3.80082e7i −0.210016 + 0.363759i
\(472\) −1.17404e8 + 6.77834e7i −1.11650 + 0.644610i
\(473\) 3.77514e7 + 6.53874e7i 0.356738 + 0.617889i
\(474\) −1.21218e8 6.99851e7i −1.13823 0.657159i
\(475\) 6.21054e7i 0.579494i
\(476\) −1.28399e8 2.63661e8i −1.19053 2.44470i
\(477\) −4.52927e7 −0.417323
\(478\) 4.97062e7 8.60937e7i 0.455121 0.788293i
\(479\) 1.38250e8 7.98185e7i 1.25793 0.726268i 0.285261 0.958450i \(-0.407920\pi\)
0.972672 + 0.232182i \(0.0745864\pi\)
\(480\) 1.64237e7 + 2.84467e7i 0.148507 + 0.257222i
\(481\) −1.67613e8 9.67714e7i −1.50616 0.869585i
\(482\) 2.58016e8i 2.30412i
\(483\) −5.63582e7 + 8.34459e7i −0.500168 + 0.740565i
\(484\) −1.20150e8 −1.05972
\(485\) 2.46677e7 4.27256e7i 0.216223 0.374510i
\(486\) −1.05055e7 + 6.06538e6i −0.0915187 + 0.0528383i
\(487\) −6.90017e7 1.19515e8i −0.597411 1.03475i −0.993202 0.116405i \(-0.962863\pi\)
0.395791 0.918341i \(-0.370471\pi\)
\(488\) 7.52577e7 + 4.34501e7i 0.647577 + 0.373879i
\(489\) 2.43619e7i 0.208345i
\(490\) −9.71214e7 7.60685e7i −0.825518 0.646571i
\(491\) −3.91824e7 −0.331014 −0.165507 0.986209i \(-0.552926\pi\)
−0.165507 + 0.986209i \(0.552926\pi\)
\(492\) 5.06041e7 8.76489e7i 0.424904 0.735955i
\(493\) 9.37609e7 5.41329e7i 0.782494 0.451773i
\(494\) 1.06959e8 + 1.85258e8i 0.887231 + 1.53673i
\(495\) 1.37679e7 + 7.94889e6i 0.113515 + 0.0655376i
\(496\) 2.54641e7i 0.208681i
\(497\) 2.73640e7 + 1.84813e7i 0.222900 + 0.150544i
\(498\) −2.62997e7 −0.212942
\(499\) −1.14482e7 + 1.98288e7i −0.0921370 + 0.159586i −0.908410 0.418080i \(-0.862703\pi\)
0.816273 + 0.577666i \(0.196036\pi\)
\(500\) 1.88328e8 1.08731e8i 1.50662 0.869849i
\(501\) 9.00527e6 + 1.55976e7i 0.0716116 + 0.124035i
\(502\) −1.59316e8 9.19810e7i −1.25935 0.727088i
\(503\) 1.38751e8i 1.09027i 0.838349 + 0.545133i \(0.183521\pi\)
−0.838349 + 0.545133i \(0.816479\pi\)
\(504\) −4.51094e7 + 2.19676e7i −0.352351 + 0.171590i
\(505\) 5.31683e7 0.412837
\(506\) 1.02035e8 1.76730e8i 0.787588 1.36414i
\(507\) −1.44982e7 + 8.37055e6i −0.111248 + 0.0642289i
\(508\) −1.60454e7 2.77915e7i −0.122394 0.211993i
\(509\) −5.07588e7 2.93056e7i −0.384909 0.222227i 0.295043 0.955484i \(-0.404666\pi\)
−0.679952 + 0.733257i \(0.737999\pi\)
\(510\) 1.27424e8i 0.960598i
\(511\) 9.42796e7 + 6.64985e6i 0.706570 + 0.0498367i
\(512\) 5.94097e7 0.442636
\(513\) 1.26561e7 2.19211e7i 0.0937451 0.162371i
\(514\) −7.48087e6 + 4.31908e6i −0.0550888 + 0.0318055i
\(515\) −6.16397e7 1.06763e8i −0.451272 0.781627i
\(516\) 1.35962e8 + 7.84978e7i 0.989622 + 0.571358i
\(517\) 4.12763e6i 0.0298696i
\(518\) −2.53400e7 + 3.59263e8i −0.182313 + 2.58478i
\(519\) −8.98057e7 −0.642394
\(520\) −5.81748e7 + 1.00762e8i −0.413737 + 0.716614i
\(521\) −1.88084e8 + 1.08590e8i −1.32996 + 0.767853i −0.985293 0.170872i \(-0.945342\pi\)
−0.344668 + 0.938725i \(0.612008\pi\)
\(522\) −2.22380e7 3.85173e7i −0.156345 0.270797i
\(523\) 1.64929e7 + 9.52217e6i 0.115290 + 0.0665627i 0.556536 0.830823i \(-0.312130\pi\)
−0.441246 + 0.897386i \(0.645463\pi\)
\(524\) 2.99294e8i 2.08019i
\(525\) −2.17575e7 4.46780e7i −0.150360 0.308756i
\(526\) 1.96889e8 1.35290
\(527\) −1.08608e8 + 1.88114e8i −0.742044 + 1.28526i
\(528\) 1.01441e7 5.85669e6i 0.0689146 0.0397879i
\(529\) −1.03315e8 1.78948e8i −0.697908 1.20881i
\(530\) 1.69261e8 + 9.77228e7i 1.13692 + 0.656400i
\(531\) 5.47244e7i 0.365508i
\(532\) 1.40697e8 2.08321e8i 0.934437 1.38356i
\(533\) −1.43796e8 −0.949654
\(534\) −3.82815e7 + 6.63054e7i −0.251400 + 0.435437i
\(535\) −6.58678e7 + 3.80288e7i −0.430142 + 0.248342i
\(536\) −7.08766e7 1.22762e8i −0.460266 0.797204i
\(537\) 1.61406e7 + 9.31879e6i 0.104231 + 0.0601778i
\(538\) 4.13941e8i 2.65822i
\(539\) 5.96483e7 7.61567e7i 0.380918 0.486342i
\(540\) 3.30568e7 0.209932
\(541\) 5.05360e7 8.75310e7i 0.319161 0.552803i −0.661152 0.750252i \(-0.729932\pi\)
0.980313 + 0.197449i \(0.0632657\pi\)
\(542\) −1.70664e7 + 9.85332e6i −0.107188 + 0.0618849i
\(543\) 7.79657e7 + 1.35041e8i 0.486972 + 0.843461i
\(544\) −1.78789e8 1.03224e8i −1.11057 0.641185i
\(545\) 1.25057e8i 0.772537i
\(546\) 1.41847e8 + 9.58017e7i 0.871450 + 0.588566i
\(547\) −2.29198e7 −0.140039 −0.0700196 0.997546i \(-0.522306\pi\)
−0.0700196 + 0.997546i \(0.522306\pi\)
\(548\) 4.97852e7 8.62305e7i 0.302523 0.523986i
\(549\) −3.03793e7 + 1.75395e7i −0.183595 + 0.105999i
\(550\) 5.03557e7 + 8.72186e7i 0.302664 + 0.524229i
\(551\) 8.03708e7 + 4.64021e7i 0.480445 + 0.277385i
\(552\) 1.76723e8i 1.05069i
\(553\) 2.10108e8 1.02319e8i 1.24241 0.605038i
\(554\) 2.61399e7 0.153735
\(555\) 4.94116e7 8.55834e7i 0.289035 0.500622i
\(556\) −440732. + 254457.i −0.00256419 + 0.00148044i
\(557\) −6.91655e7 1.19798e8i −0.400243 0.693242i 0.593512 0.804825i \(-0.297741\pi\)
−0.993755 + 0.111584i \(0.964408\pi\)
\(558\) 7.72781e7 + 4.46165e7i 0.444789 + 0.256799i
\(559\) 2.23059e8i 1.27698i
\(560\) 2.48788e7 + 1.75478e6i 0.141666 + 0.00999217i
\(561\) −9.99184e7 −0.565923
\(562\) −2.30859e7 + 3.99860e7i −0.130059 + 0.225268i
\(563\) 1.95097e8 1.12639e8i 1.09326 0.631195i 0.158819 0.987308i \(-0.449231\pi\)
0.934443 + 0.356112i \(0.115898\pi\)
\(564\) 4.29136e6 + 7.43285e6i 0.0239198 + 0.0414303i
\(565\) 1.70597e8 + 9.84941e7i 0.945857 + 0.546091i
\(566\) 4.30221e8i 2.37270i
\(567\) 1.42503e6 2.02036e7i 0.00781761 0.110836i
\(568\) −5.79518e7 −0.316244
\(569\) −1.10276e8 + 1.91003e8i −0.598609 + 1.03682i 0.394417 + 0.918931i \(0.370946\pi\)
−0.993027 + 0.117890i \(0.962387\pi\)
\(570\) −9.45931e7 + 5.46134e7i −0.510781 + 0.294900i
\(571\) 3.36594e7 + 5.82999e7i 0.180800 + 0.313155i 0.942153 0.335182i \(-0.108798\pi\)
−0.761353 + 0.648337i \(0.775465\pi\)
\(572\) −1.89715e8 1.09532e8i −1.01371 0.585265i
\(573\) 1.18203e8i 0.628295i
\(574\) 1.17156e8 + 2.40573e8i 0.619481 + 1.27207i
\(575\) 1.75032e8 0.920693
\(576\) −4.95109e7 + 8.57555e7i −0.259080 + 0.448740i
\(577\) −9.29650e6 + 5.36734e6i −0.0483941 + 0.0279403i −0.524002 0.851717i \(-0.675562\pi\)
0.475608 + 0.879657i \(0.342228\pi\)
\(578\) −2.41384e8 4.18089e8i −1.25004 2.16513i
\(579\) −9.57977e7 5.53088e7i −0.493537 0.284943i
\(580\) 1.21199e8i 0.621175i
\(581\) 2.45764e7 3.63887e7i 0.125311 0.185540i
\(582\) 1.27380e8 0.646149
\(583\) −7.66284e7 + 1.32724e8i −0.386709 + 0.669799i
\(584\) −1.43652e8 + 8.29374e7i −0.721228 + 0.416401i
\(585\) −2.34835e7 4.06745e7i −0.117299 0.203168i
\(586\) 2.94062e8 + 1.69777e8i 1.46132 + 0.843694i
\(587\) 2.34143e8i 1.15762i −0.815461 0.578812i \(-0.803516\pi\)
0.815461 0.578812i \(-0.196484\pi\)
\(588\) 2.82345e7 1.99154e8i 0.138882 0.979620i
\(589\) −1.86195e8 −0.911219
\(590\) −1.18073e8 + 2.04508e8i −0.574901 + 0.995757i
\(591\) 2.70130e7 1.55960e7i 0.130861 0.0755527i
\(592\) −3.64061e7 6.30573e7i −0.175473 0.303928i
\(593\) 1.45328e8 + 8.39054e7i 0.696926 + 0.402370i 0.806202 0.591641i \(-0.201520\pi\)
−0.109275 + 0.994012i \(0.534853\pi\)
\(594\) 4.10468e7i 0.195849i
\(595\) −1.76306e8 1.19075e8i −0.836984 0.565288i
\(596\) −1.80662e8 −0.853350
\(597\) −3.38743e7 + 5.86720e7i −0.159202 + 0.275745i
\(598\) −5.22116e8 + 3.01444e8i −2.44154 + 1.40962i
\(599\) −2.72137e7 4.71356e7i −0.126622 0.219315i 0.795744 0.605633i \(-0.207080\pi\)
−0.922366 + 0.386318i \(0.873747\pi\)
\(600\) 7.55302e7 + 4.36074e7i 0.349677 + 0.201886i
\(601\) 1.02729e7i 0.0473226i −0.999720 0.0236613i \(-0.992468\pi\)
0.999720 0.0236613i \(-0.00753233\pi\)
\(602\) −3.73181e8 + 1.81734e8i −1.71053 + 0.833003i
\(603\) 5.72217e7 0.260981
\(604\) 1.34130e8 2.32320e8i 0.608717 1.05433i
\(605\) −7.54864e7 + 4.35821e7i −0.340881 + 0.196808i
\(606\) 6.86383e7 + 1.18885e8i 0.308424 + 0.534207i
\(607\) 3.20092e8 + 1.84805e8i 1.43123 + 0.826319i 0.997214 0.0745880i \(-0.0237642\pi\)
0.434012 + 0.900907i \(0.357098\pi\)
\(608\) 1.76965e8i 0.787366i
\(609\) 7.40740e7 + 5.22468e6i 0.327955 + 0.0231317i
\(610\) 1.51372e8 0.666893
\(611\) 6.09714e6 1.05606e7i 0.0267302 0.0462981i
\(612\) −1.79929e8 + 1.03882e8i −0.784958 + 0.453196i
\(613\) −2.33412e7 4.04282e7i −0.101331 0.175510i 0.810902 0.585182i \(-0.198977\pi\)
−0.912233 + 0.409671i \(0.865643\pi\)
\(614\) −2.16727e8 1.25127e8i −0.936285 0.540565i
\(615\) 7.34224e7i 0.315648i
\(616\) −1.19450e7 + 1.69353e8i −0.0511029 + 0.724521i
\(617\) 4.39158e8 1.86967 0.934836 0.355080i \(-0.115546\pi\)
0.934836 + 0.355080i \(0.115546\pi\)
\(618\) 1.59149e8 2.75654e8i 0.674277 1.16788i
\(619\) −1.84752e8 + 1.06666e8i −0.778962 + 0.449734i −0.836062 0.548635i \(-0.815148\pi\)
0.0571005 + 0.998368i \(0.481814\pi\)
\(620\) −1.21582e8 2.10586e8i −0.510145 0.883596i
\(621\) 6.17803e7 + 3.56689e7i 0.257974 + 0.148941i
\(622\) 4.26644e8i 1.77294i
\(623\) −5.59682e7 1.14928e8i −0.231461 0.475292i
\(624\) −3.46049e7 −0.142424
\(625\) 6.26968e6 1.08594e7i 0.0256806 0.0444801i
\(626\) 3.70845e8 2.14107e8i 1.51171 0.872788i
\(627\) −4.28245e7 7.41743e7i −0.173736 0.300920i
\(628\) 2.67419e8 + 1.54395e8i 1.07973 + 0.623381i
\(629\) 6.21109e8i 2.49584i
\(630\) −4.89164e7 + 7.24273e7i −0.195629 + 0.289655i
\(631\) 2.58817e8 1.03016 0.515080 0.857142i \(-0.327762\pi\)
0.515080 + 0.857142i \(0.327762\pi\)
\(632\) −2.05073e8 + 3.55197e8i −0.812377 + 1.40708i
\(633\) 1.39916e8 8.07806e7i 0.551641 0.318490i
\(634\) −1.07689e8 1.86522e8i −0.422573 0.731918i
\(635\) −2.01616e7 1.16403e7i −0.0787415 0.0454614i
\(636\) 3.18672e8i 1.23872i
\(637\) −2.65106e8 + 1.06738e8i −1.02565 + 0.412952i
\(638\) −1.50493e8 −0.579502
\(639\) 1.16967e7 2.02593e7i 0.0448292 0.0776465i
\(640\) 2.53259e8 1.46219e8i 0.966106 0.557781i
\(641\) −6.64356e7 1.15070e8i −0.252247 0.436905i 0.711897 0.702284i \(-0.247836\pi\)
−0.964144 + 0.265379i \(0.914503\pi\)
\(642\) −1.70066e8 9.81874e7i −0.642704 0.371066i
\(643\) 1.84168e8i 0.692757i −0.938095 0.346378i \(-0.887411\pi\)
0.938095 0.346378i \(-0.112589\pi\)
\(644\) 5.87112e8 + 3.96528e8i 2.19818 + 1.48462i
\(645\) 1.13894e8 0.424445
\(646\) 3.43248e8 5.94523e8i 1.27324 2.20532i
\(647\) −2.88189e8 + 1.66386e8i −1.06405 + 0.614332i −0.926551 0.376169i \(-0.877241\pi\)
−0.137504 + 0.990501i \(0.543908\pi\)
\(648\) 1.77730e7 + 3.07838e7i 0.0653185 + 0.113135i
\(649\) −1.60363e8 9.25854e7i −0.586636 0.338695i
\(650\) 2.97532e8i 1.08341i
\(651\) −1.33947e8 + 6.52302e7i −0.485500 + 0.236432i
\(652\) −1.71406e8 −0.618420
\(653\) −1.28291e8 + 2.22206e8i −0.460741 + 0.798026i −0.998998 0.0447544i \(-0.985749\pi\)
0.538257 + 0.842780i \(0.319083\pi\)
\(654\) −2.79629e8 + 1.61444e8i −0.999654 + 0.577150i
\(655\) 1.08563e8 + 1.88036e8i 0.386328 + 0.669140i
\(656\) −4.68495e7 2.70486e7i −0.165956 0.0958149i
\(657\) 6.69588e7i 0.236108i
\(658\) −2.26356e7 1.59656e6i −0.0794536 0.00560412i
\(659\) 1.84717e8 0.645431 0.322715 0.946496i \(-0.395404\pi\)
0.322715 + 0.946496i \(0.395404\pi\)
\(660\) 5.59271e7 9.68686e7i 0.194532 0.336939i
\(661\) 1.74480e8 1.00736e8i 0.604144 0.348803i −0.166526 0.986037i \(-0.553255\pi\)
0.770670 + 0.637234i \(0.219922\pi\)
\(662\) 3.41045e8 + 5.90707e8i 1.17554 + 2.03610i
\(663\) 2.55642e8 + 1.47595e8i 0.877185 + 0.506443i
\(664\) 7.70644e7i 0.263239i
\(665\) 1.28311e7 1.81916e8i 0.0436314 0.618593i
\(666\) 2.55154e8 0.863733
\(667\) −1.30776e8 + 2.26510e8i −0.440706 + 0.763326i
\(668\) 1.09742e8 6.33597e7i 0.368166 0.212561i
\(669\) −3.77857e7 6.54468e7i −0.126197 0.218580i
\(670\) −2.13840e8 1.23461e8i −0.710992 0.410492i
\(671\) 1.18697e8i 0.392891i
\(672\) −6.19965e7 1.27307e8i −0.204296 0.419511i
\(673\) −4.93893e8 −1.62027 −0.810135 0.586243i \(-0.800606\pi\)
−0.810135 + 0.586243i \(0.800606\pi\)
\(674\) 4.04577e8 7.00747e8i 1.32136 2.28866i
\(675\) −3.04894e7 + 1.76030e7i −0.0991373 + 0.0572369i
\(676\) 5.88939e7 + 1.02007e8i 0.190647 + 0.330211i
\(677\) −2.71512e8 1.56758e8i −0.875030 0.505199i −0.00601364 0.999982i \(-0.501914\pi\)
−0.869017 + 0.494783i \(0.835248\pi\)
\(678\) 5.08608e8i 1.63190i
\(679\) −1.19034e8 + 1.76245e8i −0.380243 + 0.563000i
\(680\) 3.73384e8 1.18749
\(681\) −1.17755e8 + 2.03957e8i −0.372852 + 0.645798i
\(682\) 2.61486e8 1.50969e8i 0.824318 0.475920i
\(683\) 7.42502e7 + 1.28605e8i 0.233043 + 0.403642i 0.958702 0.284412i \(-0.0917984\pi\)
−0.725659 + 0.688054i \(0.758465\pi\)
\(684\) −1.54233e8 8.90465e7i −0.481958 0.278259i
\(685\) 7.22343e7i 0.224735i
\(686\) 3.94565e8 + 3.56564e8i 1.22221 + 1.10450i
\(687\) −6.63087e7 −0.204503
\(688\) 4.19582e7 7.26737e7i 0.128840 0.223158i
\(689\) 3.92108e8 2.26384e8i 1.19880 0.692130i
\(690\) −1.53917e8 2.66593e8i −0.468533 0.811524i
\(691\) −3.35862e8 1.93910e8i −1.01795 0.587714i −0.104441 0.994531i \(-0.533305\pi\)
−0.913510 + 0.406817i \(0.866639\pi\)
\(692\) 6.31859e8i 1.90678i
\(693\) −5.67931e7 3.83573e7i −0.170646 0.115252i
\(694\) −4.68722e8 −1.40229
\(695\) −184598. + 319733.i −0.000549886 + 0.000952430i
\(696\) −1.12865e8 + 6.51626e7i −0.334758 + 0.193273i
\(697\) 2.30732e8 + 3.99640e8i 0.681412 + 1.18024i
\(698\) −5.90235e8 3.40772e8i −1.73564 1.00207i
\(699\) 1.96130e8i 0.574265i
\(700\) −3.14347e8 + 1.53083e8i −0.916464 + 0.446305i
\(701\) 4.86782e7 0.141312 0.0706562 0.997501i \(-0.477491\pi\)
0.0706562 + 0.997501i \(0.477491\pi\)
\(702\) 6.06325e7 1.05019e8i 0.175265 0.303567i
\(703\) −4.61079e8 + 2.66204e8i −1.32712 + 0.766212i
\(704\) 1.67530e8 + 2.90171e8i 0.480148 + 0.831640i
\(705\) 5.39223e6 + 3.11320e6i 0.0153887 + 0.00888465i
\(706\) 1.01814e7i 0.0289329i
\(707\) −2.28632e8 1.61262e7i −0.646963 0.0456324i
\(708\) −3.85032e8 −1.08492
\(709\) 1.58977e8 2.75357e8i 0.446064 0.772605i −0.552062 0.833803i \(-0.686159\pi\)
0.998126 + 0.0611981i \(0.0194921\pi\)
\(710\) −8.74224e7 + 5.04734e7i −0.244257 + 0.141022i
\(711\) −8.27820e7 1.43383e8i −0.230318 0.398922i
\(712\) 1.94291e8 + 1.12174e8i 0.538285 + 0.310779i
\(713\) 5.24756e8i 1.44773i
\(714\) 3.86483e7 5.47944e8i 0.106178 1.50537i
\(715\) −1.58922e8 −0.434776
\(716\) 6.55655e7 1.13563e8i 0.178623 0.309384i
\(717\) 1.01836e8 5.87951e7i 0.276277 0.159509i
\(718\) −2.74565e8 4.75561e8i −0.741774 1.28479i
\(719\) −1.50536e8 8.69119e7i −0.404998 0.233826i 0.283640 0.958931i \(-0.408458\pi\)
−0.688638 + 0.725105i \(0.741791\pi\)
\(720\) 1.76693e7i 0.0473393i
\(721\) 2.32679e8 + 4.77794e8i 0.620799 + 1.27478i
\(722\) −3.15455e7 −0.0838157
\(723\) 1.52598e8 2.64307e8i 0.403769 0.699348i
\(724\) 9.50125e8 5.48555e8i 2.50360 1.44545i
\(725\) −6.45394e7 1.11785e8i −0.169360 0.293340i
\(726\) −1.94900e8 1.12526e8i −0.509334 0.294064i
\(727\) 4.58803e8i 1.19405i −0.802222 0.597026i \(-0.796349\pi\)
0.802222 0.597026i \(-0.203651\pi\)
\(728\) 2.80722e8 4.15646e8i 0.727583 1.07728i
\(729\) −1.43489e7 −0.0370370
\(730\) −1.44469e8 + 2.50228e8i −0.371370 + 0.643232i
\(731\) −6.19927e8 + 3.57915e8i −1.58704 + 0.916279i
\(732\) 1.23405e8 + 2.13744e8i 0.314630 + 0.544956i
\(733\) 5.55746e8 + 3.20860e8i 1.41112 + 0.814711i 0.995494 0.0948235i \(-0.0302287\pi\)
0.415627 + 0.909535i \(0.363562\pi\)
\(734\) 8.70033e7i 0.220013i
\(735\) −5.45003e7 1.35363e8i −0.137258 0.340909i
\(736\) 4.98742e8 1.25096
\(737\) 9.68105e7 1.67681e8i 0.241835 0.418871i
\(738\) 1.64173e8 9.47855e7i 0.408445 0.235816i
\(739\) 1.70001e8 + 2.94450e8i 0.421229 + 0.729590i 0.996060 0.0886823i \(-0.0282656\pi\)
−0.574831 + 0.818272i \(0.694932\pi\)
\(740\) −6.02151e8 3.47652e8i −1.48597 0.857926i
\(741\) 2.53034e8i 0.621904i
\(742\) −6.98209e8 4.71561e8i −1.70912 1.15432i
\(743\) 6.08554e8 1.48365 0.741827 0.670591i \(-0.233960\pi\)
0.741827 + 0.670591i \(0.233960\pi\)
\(744\) 1.30737e8 2.26443e8i 0.317454 0.549846i
\(745\) −1.13504e8 + 6.55313e7i −0.274499 + 0.158482i
\(746\) −3.26280e7 5.65133e7i −0.0785911 0.136124i
\(747\) −2.69409e7 1.55543e7i −0.0646323 0.0373155i
\(748\) 7.03011e8i 1.67980i
\(749\) 2.94776e8 1.43552e8i 0.701531 0.341636i
\(750\) 4.07324e8 0.965509
\(751\) −8.06132e7 + 1.39626e8i −0.190321 + 0.329645i −0.945357 0.326038i \(-0.894286\pi\)
0.755036 + 0.655684i \(0.227619\pi\)
\(752\) 3.97296e6 2.29379e6i 0.00934245 0.00539387i
\(753\) −1.08800e8 1.88447e8i −0.254826 0.441372i
\(754\) 3.85038e8 + 2.22302e8i 0.898233 + 0.518595i
\(755\) 1.94612e8i 0.452198i
\(756\) −1.42149e8 1.00263e7i −0.328988 0.0232046i
\(757\) 1.60953e8 0.371031 0.185516 0.982641i \(-0.440604\pi\)
0.185516 + 0.982641i \(0.440604\pi\)
\(758\) −6.97652e8 + 1.20837e9i −1.60189 + 2.77455i
\(759\) 2.09046e8 1.20693e8i 0.478098 0.276030i
\(760\) 1.60030e8 + 2.77181e8i 0.364554 + 0.631426i
\(761\) −3.75605e8 2.16856e8i −0.852271 0.492059i 0.00914540 0.999958i \(-0.497089\pi\)
−0.861416 + 0.507899i \(0.830422\pi\)
\(762\) 6.01088e7i 0.135854i
\(763\) 3.79304e7 5.37766e8i 0.0853913 1.21065i
\(764\) −8.31656e8 −1.86493
\(765\) −7.53621e7 + 1.30531e8i −0.168333 + 0.291561i
\(766\) −5.61533e8 + 3.24201e8i −1.24936 + 0.721321i