Properties

Label 21.7.h.a.2.14
Level $21$
Weight $7$
Character 21.2
Analytic conductor $4.831$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 2.14
Character \(\chi\) \(=\) 21.2
Dual form 21.7.h.a.11.14

$q$-expansion

\(f(q)\) \(=\) \(q+(13.1658 + 7.60129i) q^{2} +(-23.5594 + 13.1892i) q^{3} +(83.5593 + 144.729i) q^{4} +(-82.1651 - 47.4381i) q^{5} +(-410.434 - 5.43441i) q^{6} +(334.938 + 73.9300i) q^{7} +1567.67i q^{8} +(381.088 - 621.460i) q^{9} +O(q^{10})\) \(q+(13.1658 + 7.60129i) q^{2} +(-23.5594 + 13.1892i) q^{3} +(83.5593 + 144.729i) q^{4} +(-82.1651 - 47.4381i) q^{5} +(-410.434 - 5.43441i) q^{6} +(334.938 + 73.9300i) q^{7} +1567.67i q^{8} +(381.088 - 621.460i) q^{9} +(-721.181 - 1249.12i) q^{10} +(735.924 - 424.886i) q^{11} +(-3877.47 - 2307.64i) q^{12} +1143.92 q^{13} +(3847.77 + 3519.31i) q^{14} +(2561.43 + 33.9150i) q^{15} +(-6568.51 + 11377.0i) q^{16} +(-2380.94 + 1374.64i) q^{17} +(9741.24 - 5285.28i) q^{18} +(3551.65 - 6151.64i) q^{19} -15855.6i q^{20} +(-8866.01 + 2675.83i) q^{21} +12918.7 q^{22} +(-4815.31 - 2780.12i) q^{23} +(-20676.4 - 36933.3i) q^{24} +(-3311.76 - 5736.14i) q^{25} +(15060.7 + 8695.28i) q^{26} +(-781.596 + 19667.5i) q^{27} +(17287.4 + 54652.7i) q^{28} -22700.1i q^{29} +(33465.5 + 19916.7i) q^{30} +(-4260.11 - 7378.73i) q^{31} +(-86070.7 + 49692.9i) q^{32} +(-11734.0 + 19716.3i) q^{33} -41796.1 q^{34} +(-24013.1 - 21963.3i) q^{35} +(121787. + 3225.64i) q^{36} +(-35924.2 + 62222.6i) q^{37} +(93520.8 - 53994.3i) q^{38} +(-26950.1 + 15087.5i) q^{39} +(74367.1 - 128808. i) q^{40} +59009.1i q^{41} +(-137068. - 32163.6i) q^{42} -37766.3 q^{43} +(122987. + 71006.3i) q^{44} +(-60793.0 + 32984.3i) q^{45} +(-42265.0 - 73205.1i) q^{46} +(-97600.2 - 56349.5i) q^{47} +(4696.04 - 354668. i) q^{48} +(106718. + 49523.9i) q^{49} -100695. i q^{50} +(37963.1 - 63788.5i) q^{51} +(95585.3 + 165559. i) q^{52} +(175198. - 101151. i) q^{53} +(-159789. + 252997. i) q^{54} -80623.0 q^{55} +(-115898. + 525071. i) q^{56} +(-2539.19 + 191772. i) q^{57} +(172550. - 298866. i) q^{58} +(150163. - 86696.9i) q^{59} +(209123. + 373547. i) q^{60} +(24559.3 - 42538.0i) q^{61} -129529. i q^{62} +(173585. - 179977. i) q^{63} -670153. q^{64} +(-93990.5 - 54265.4i) q^{65} +(-304357. + 170388. i) q^{66} +(-156627. - 271286. i) q^{67} +(-397900. - 229728. i) q^{68} +(150113. + 1987.60i) q^{69} +(-149203. - 471695. i) q^{70} -100708. i q^{71} +(974244. + 597419. i) q^{72} +(141839. + 245672. i) q^{73} +(-945944. + 546141. i) q^{74} +(153678. + 91460.2i) q^{75} +1.18709e6 q^{76} +(277901. - 87903.5i) q^{77} +(-469504. - 6216.54i) q^{78} +(-186141. + 322406. i) q^{79} +(1.07941e6 - 623195. i) q^{80} +(-240985. - 473662. i) q^{81} +(-448545. + 776903. i) q^{82} -243302. i q^{83} +(-1.12811e6 - 1.05958e6i) q^{84} +260841. q^{85} +(-497224. - 287073. i) q^{86} +(299397. + 534800. i) q^{87} +(666080. + 1.15368e6i) q^{88} +(890049. + 513870. i) q^{89} +(-1.05111e6 - 27839.7i) q^{90} +(383143. + 84570.1i) q^{91} -929219. i q^{92} +(197685. + 117651. i) q^{93} +(-856658. - 1.48377e6i) q^{94} +(-583644. + 336967. i) q^{95} +(1.37236e6 - 2.30594e6i) q^{96} -1.64786e6 q^{97} +(1.02858e6 + 1.46322e6i) q^{98} +(16401.9 - 619266. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} + O(q^{10}) \) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} - 930q^{10} - 404q^{12} + 3632q^{13} + 5450q^{15} - 13706q^{16} + 1612q^{18} + 6830q^{19} - 11333q^{21} - 27348q^{22} - 54498q^{24} - 7640q^{25} + 13268q^{27} + 88522q^{28} + 32380q^{30} + 69410q^{31} - 85459q^{33} - 31344q^{34} + 399028q^{36} - 71830q^{37} + 104570q^{39} + 230250q^{40} - 467782q^{42} - 498904q^{43} - 85375q^{45} - 342660q^{46} - 324728q^{48} + 395668q^{49} + 42177q^{51} + 218000q^{52} - 402122q^{54} + 231660q^{55} + 786782q^{57} + 459522q^{58} + 1021150q^{60} + 153158q^{61} + 179011q^{63} - 1399412q^{64} + 80896q^{66} - 977098q^{67} - 1520742q^{69} - 139650q^{70} - 1001352q^{72} - 488350q^{73} + 1434610q^{75} + 6196280q^{76} + 245176q^{78} + 380762q^{79} + 893531q^{81} - 3665004q^{82} + 1231496q^{84} - 912540q^{85} + 1452416q^{87} - 1522482q^{88} - 11713820q^{90} - 1529416q^{91} - 1690071q^{93} - 3034044q^{94} + 7549346q^{96} + 7212176q^{97} + 435866q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 13.1658 + 7.60129i 1.64573 + 0.950161i 0.978743 + 0.205090i \(0.0657488\pi\)
0.666985 + 0.745071i \(0.267585\pi\)
\(3\) −23.5594 + 13.1892i −0.872569 + 0.488490i
\(4\) 83.5593 + 144.729i 1.30561 + 2.26139i
\(5\) −82.1651 47.4381i −0.657321 0.379505i 0.133934 0.990990i \(-0.457239\pi\)
−0.791255 + 0.611486i \(0.790572\pi\)
\(6\) −410.434 5.43441i −1.90016 0.0251593i
\(7\) 334.938 + 73.9300i 0.976495 + 0.215539i
\(8\) 1567.67i 3.06185i
\(9\) 381.088 621.460i 0.522754 0.852483i
\(10\) −721.181 1249.12i −0.721181 1.24912i
\(11\) 735.924 424.886i 0.552910 0.319223i −0.197385 0.980326i \(-0.563245\pi\)
0.750295 + 0.661103i \(0.229911\pi\)
\(12\) −3877.47 2307.64i −2.24391 1.33544i
\(13\) 1143.92 0.520674 0.260337 0.965518i \(-0.416166\pi\)
0.260337 + 0.965518i \(0.416166\pi\)
\(14\) 3847.77 + 3519.31i 1.40225 + 1.28255i
\(15\) 2561.43 + 33.9150i 0.758942 + 0.0100489i
\(16\) −6568.51 + 11377.0i −1.60364 + 2.77759i
\(17\) −2380.94 + 1374.64i −0.484621 + 0.279796i −0.722340 0.691538i \(-0.756934\pi\)
0.237719 + 0.971334i \(0.423600\pi\)
\(18\) 9741.24 5285.28i 1.67031 0.906255i
\(19\) 3551.65 6151.64i 0.517809 0.896871i −0.481977 0.876184i \(-0.660081\pi\)
0.999786 0.0206875i \(-0.00658549\pi\)
\(20\) 15855.6i 1.98194i
\(21\) −8866.01 + 2675.83i −0.957349 + 0.288936i
\(22\) 12918.7 1.21325
\(23\) −4815.31 2780.12i −0.395768 0.228497i 0.288888 0.957363i \(-0.406714\pi\)
−0.684656 + 0.728866i \(0.740048\pi\)
\(24\) −20676.4 36933.3i −1.49569 2.67168i
\(25\) −3311.76 5736.14i −0.211953 0.367113i
\(26\) 15060.7 + 8695.28i 0.856888 + 0.494725i
\(27\) −781.596 + 19667.5i −0.0397092 + 0.999211i
\(28\) 17287.4 + 54652.7i 0.787507 + 2.48965i
\(29\) 22700.1i 0.930752i −0.885113 0.465376i \(-0.845919\pi\)
0.885113 0.465376i \(-0.154081\pi\)
\(30\) 33465.5 + 19916.7i 1.23946 + 0.737656i
\(31\) −4260.11 7378.73i −0.143000 0.247683i 0.785625 0.618703i \(-0.212342\pi\)
−0.928625 + 0.371020i \(0.879008\pi\)
\(32\) −86070.7 + 49692.9i −2.62667 + 1.51651i
\(33\) −11734.0 + 19716.3i −0.326515 + 0.548636i
\(34\) −41796.1 −1.06341
\(35\) −24013.1 21963.3i −0.560073 0.512263i
\(36\) 121787. + 3225.64i 2.61031 + 0.0691366i
\(37\) −35924.2 + 62222.6i −0.709222 + 1.22841i 0.255924 + 0.966697i \(0.417620\pi\)
−0.965146 + 0.261712i \(0.915713\pi\)
\(38\) 93520.8 53994.3i 1.70435 0.984004i
\(39\) −26950.1 + 15087.5i −0.454324 + 0.254344i
\(40\) 74367.1 128808.i 1.16199 2.01262i
\(41\) 59009.1i 0.856184i 0.903735 + 0.428092i \(0.140814\pi\)
−0.903735 + 0.428092i \(0.859186\pi\)
\(42\) −137068. 32163.6i −1.85007 0.434126i
\(43\) −37766.3 −0.475006 −0.237503 0.971387i \(-0.576329\pi\)
−0.237503 + 0.971387i \(0.576329\pi\)
\(44\) 122987. + 71006.3i 1.44377 + 0.833564i
\(45\) −60793.0 + 32984.3i −0.667139 + 0.361968i
\(46\) −42265.0 73205.1i −0.434218 0.752087i
\(47\) −97600.2 56349.5i −0.940063 0.542746i −0.0500830 0.998745i \(-0.515949\pi\)
−0.889980 + 0.455999i \(0.849282\pi\)
\(48\) 4696.04 354668.i 0.0424627 3.20700i
\(49\) 106718. + 49523.9i 0.907086 + 0.420946i
\(50\) 100695.i 0.805557i
\(51\) 37963.1 63788.5i 0.286188 0.480874i
\(52\) 95585.3 + 165559.i 0.679800 + 1.17745i
\(53\) 175198. 101151.i 1.17680 0.679426i 0.221528 0.975154i \(-0.428896\pi\)
0.955272 + 0.295728i \(0.0955622\pi\)
\(54\) −159789. + 252997.i −1.01476 + 1.60670i
\(55\) −80623.0 −0.484586
\(56\) −115898. + 525071.i −0.659950 + 2.98988i
\(57\) −2539.19 + 191772.i −0.0137110 + 1.03553i
\(58\) 172550. 298866.i 0.884364 1.53176i
\(59\) 150163. 86696.9i 0.731153 0.422131i −0.0876910 0.996148i \(-0.527949\pi\)
0.818844 + 0.574017i \(0.194615\pi\)
\(60\) 209123. + 373547.i 0.968161 + 1.72938i
\(61\) 24559.3 42538.0i 0.108200 0.187408i −0.806841 0.590768i \(-0.798825\pi\)
0.915041 + 0.403361i \(0.132158\pi\)
\(62\) 129529.i 0.543492i
\(63\) 173585. 179977.i 0.694211 0.719772i
\(64\) −670153. −2.55643
\(65\) −93990.5 54265.4i −0.342250 0.197598i
\(66\) −304357. + 170388.i −1.05865 + 0.592663i
\(67\) −156627. 271286.i −0.520765 0.901992i −0.999708 0.0241460i \(-0.992313\pi\)
0.478943 0.877846i \(-0.341020\pi\)
\(68\) −397900. 229728.i −1.26546 0.730611i
\(69\) 150113. + 1987.60i 0.456953 + 0.00605036i
\(70\) −149203. 471695.i −0.434995 1.37520i
\(71\) 100708.i 0.281378i −0.990054 0.140689i \(-0.955068\pi\)
0.990054 0.140689i \(-0.0449317\pi\)
\(72\) 974244. + 597419.i 2.61018 + 1.60060i
\(73\) 141839. + 245672.i 0.364608 + 0.631519i 0.988713 0.149821i \(-0.0478697\pi\)
−0.624105 + 0.781340i \(0.714536\pi\)
\(74\) −945944. + 546141.i −2.33437 + 1.34775i
\(75\) 153678. + 91460.2i 0.364274 + 0.216794i
\(76\) 1.18709e6 2.70423
\(77\) 277901. 87903.5i 0.608720 0.192546i
\(78\) −469504. 6216.54i −0.989363 0.0130998i
\(79\) −186141. + 322406.i −0.377539 + 0.653916i −0.990703 0.136039i \(-0.956563\pi\)
0.613165 + 0.789955i \(0.289896\pi\)
\(80\) 1.07941e6 623195.i 2.10821 1.21718i
\(81\) −240985. 473662.i −0.453456 0.891279i
\(82\) −448545. + 776903.i −0.813513 + 1.40905i
\(83\) 243302.i 0.425511i −0.977105 0.212756i \(-0.931756\pi\)
0.977105 0.212756i \(-0.0682438\pi\)
\(84\) −1.12811e6 1.05958e6i −1.90332 1.78770i
\(85\) 260841. 0.424736
\(86\) −497224. 287073.i −0.781730 0.451332i
\(87\) 299397. + 534800.i 0.454663 + 0.812145i
\(88\) 666080. + 1.15368e6i 0.977414 + 1.69293i
\(89\) 890049. + 513870.i 1.26254 + 0.728926i 0.973565 0.228412i \(-0.0733532\pi\)
0.288972 + 0.957338i \(0.406687\pi\)
\(90\) −1.05111e6 27839.7i −1.44186 0.0381889i
\(91\) 383143. + 84570.1i 0.508436 + 0.112226i
\(92\) 929219.i 1.19331i
\(93\) 197685. + 117651.i 0.245768 + 0.146267i
\(94\) −856658. 1.48377e6i −1.03139 1.78642i
\(95\) −583644. + 336967.i −0.680733 + 0.393022i
\(96\) 1.37236e6 2.30594e6i 1.55115 2.60636i
\(97\) −1.64786e6 −1.80553 −0.902767 0.430131i \(-0.858467\pi\)
−0.902767 + 0.430131i \(0.858467\pi\)
\(98\) 1.02858e6 + 1.46322e6i 1.09285 + 1.55464i
\(99\) 16401.9 619266.i 0.0169039 0.638222i
\(100\) 553457. 958615.i 0.553457 0.958615i
\(101\) −18331.9 + 10583.9i −0.0177927 + 0.0102726i −0.508870 0.860843i \(-0.669937\pi\)
0.491077 + 0.871116i \(0.336603\pi\)
\(102\) 984690. 551259.i 0.927895 0.519464i
\(103\) −832919. + 1.44266e6i −0.762239 + 1.32024i 0.179455 + 0.983766i \(0.442567\pi\)
−0.941694 + 0.336470i \(0.890767\pi\)
\(104\) 1.79329e6i 1.59423i
\(105\) 855413. + 200726.i 0.738938 + 0.173395i
\(106\) 3.07551e6 2.58226
\(107\) −901153. 520281.i −0.735609 0.424704i 0.0848615 0.996393i \(-0.472955\pi\)
−0.820471 + 0.571689i \(0.806289\pi\)
\(108\) −2.91176e6 + 1.53028e6i −2.31145 + 1.21479i
\(109\) −801880. 1.38890e6i −0.619199 1.07248i −0.989632 0.143625i \(-0.954124\pi\)
0.370434 0.928859i \(-0.379209\pi\)
\(110\) −1.06147e6 612839.i −0.797497 0.460435i
\(111\) 25683.4 1.93974e6i 0.0187795 1.41832i
\(112\) −3.04114e6 + 3.32498e6i −2.16463 + 2.36665i
\(113\) 2.10378e6i 1.45803i 0.684500 + 0.729013i \(0.260021\pi\)
−0.684500 + 0.729013i \(0.739979\pi\)
\(114\) −1.49115e6 + 2.50554e6i −1.00648 + 1.69117i
\(115\) 263767. + 456858.i 0.173431 + 0.300391i
\(116\) 3.28536e6 1.89680e6i 2.10479 1.21520i
\(117\) 435935. 710902.i 0.272185 0.443866i
\(118\) 2.63603e6 1.60437
\(119\) −899095. + 284395.i −0.533537 + 0.168765i
\(120\) −53167.5 + 4.01547e6i −0.0307682 + 2.32377i
\(121\) −524725. + 908850.i −0.296193 + 0.513022i
\(122\) 646687. 373365.i 0.356135 0.205615i
\(123\) −778285. 1.39022e6i −0.418238 0.747080i
\(124\) 711943. 1.23312e6i 0.373405 0.646757i
\(125\) 2.11085e6i 1.08076i
\(126\) 3.65345e6 1.05007e6i 1.82638 0.524936i
\(127\) 2.32058e6 1.13288 0.566441 0.824102i \(-0.308320\pi\)
0.566441 + 0.824102i \(0.308320\pi\)
\(128\) −3.31459e6 1.91368e6i −1.58052 0.912513i
\(129\) 889750. 498109.i 0.414475 0.232036i
\(130\) −824975. 1.42890e6i −0.375501 0.650386i
\(131\) −2.82139e6 1.62893e6i −1.25502 0.724585i −0.282916 0.959145i \(-0.591302\pi\)
−0.972102 + 0.234560i \(0.924635\pi\)
\(132\) −3.83400e6 50764.7i −1.66698 0.0220719i
\(133\) 1.64437e6 1.79784e6i 0.698949 0.764182i
\(134\) 4.76227e6i 1.97924i
\(135\) 997207. 1.57890e6i 0.405307 0.641733i
\(136\) −2.15498e6 3.73253e6i −0.856694 1.48384i
\(137\) −304223. + 175643.i −0.118312 + 0.0683077i −0.557988 0.829849i \(-0.688427\pi\)
0.439676 + 0.898156i \(0.355093\pi\)
\(138\) 1.96126e6 + 1.16722e6i 0.746272 + 0.444137i
\(139\) −324850. −0.120959 −0.0604795 0.998169i \(-0.519263\pi\)
−0.0604795 + 0.998169i \(0.519263\pi\)
\(140\) 1.17220e6 5.31063e6i 0.427187 1.93536i
\(141\) 3.04261e6 + 40286.1i 1.08540 + 0.0143713i
\(142\) 765512. 1.32591e6i 0.267354 0.463071i
\(143\) 841839. 486036.i 0.287886 0.166211i
\(144\) 4.56717e6 + 8.41770e6i 1.52954 + 2.81907i
\(145\) −1.07685e6 + 1.86516e6i −0.353224 + 0.611803i
\(146\) 4.31263e6i 1.38575i
\(147\) −3.16738e6 + 240773.i −0.997123 + 0.0757978i
\(148\) −1.20072e7 −3.70388
\(149\) 844141. + 487365.i 0.255186 + 0.147331i 0.622136 0.782909i \(-0.286265\pi\)
−0.366951 + 0.930240i \(0.619598\pi\)
\(150\) 1.32809e6 + 2.37230e6i 0.393507 + 0.702904i
\(151\) −1.06605e6 1.84645e6i −0.309633 0.536299i 0.668649 0.743578i \(-0.266873\pi\)
−0.978282 + 0.207278i \(0.933539\pi\)
\(152\) 9.64373e6 + 5.56781e6i 2.74609 + 1.58545i
\(153\) −53065.1 + 2.00352e6i −0.0148161 + 0.559396i
\(154\) 4.32697e6 + 955081.i 1.18474 + 0.261504i
\(155\) 808365.i 0.217076i
\(156\) −4.43552e6 2.63976e6i −1.16834 0.695329i
\(157\) 1.84492e6 + 3.19549e6i 0.476736 + 0.825731i 0.999645 0.0266577i \(-0.00848640\pi\)
−0.522909 + 0.852389i \(0.675153\pi\)
\(158\) −4.90140e6 + 2.82983e6i −1.24265 + 0.717445i
\(159\) −2.79346e6 + 4.69379e6i −0.694947 + 1.16770i
\(160\) 9.42935e6 2.30209
\(161\) −1.40729e6 1.28716e6i −0.337215 0.308429i
\(162\) 427674. 8.06795e6i 0.100593 1.89766i
\(163\) −113443. + 196489.i −0.0261947 + 0.0453706i −0.878826 0.477143i \(-0.841672\pi\)
0.852631 + 0.522514i \(0.175006\pi\)
\(164\) −8.54032e6 + 4.93076e6i −1.93617 + 1.11785i
\(165\) 1.89943e6 1.06336e6i 0.422835 0.236716i
\(166\) 1.84941e6 3.20327e6i 0.404304 0.700276i
\(167\) 3.40177e6i 0.730392i −0.930931 0.365196i \(-0.881002\pi\)
0.930931 0.365196i \(-0.118998\pi\)
\(168\) −4.19482e6 1.38990e7i −0.884678 2.93126i
\(169\) −3.51825e6 −0.728898
\(170\) 3.43418e6 + 1.98273e6i 0.698999 + 0.403567i
\(171\) −2.46951e6 4.55153e6i −0.493881 0.910267i
\(172\) −3.15572e6 5.46587e6i −0.620174 1.07417i
\(173\) 3.78125e6 + 2.18310e6i 0.730293 + 0.421635i 0.818529 0.574465i \(-0.194790\pi\)
−0.0882366 + 0.996100i \(0.528123\pi\)
\(174\) −123362. + 9.31689e6i −0.0234171 + 1.76857i
\(175\) −685161. 2.16609e6i −0.127843 0.404168i
\(176\) 1.11635e7i 2.04768i
\(177\) −2.39429e6 + 4.02307e6i −0.431774 + 0.725500i
\(178\) 7.81215e6 + 1.35310e7i 1.38519 + 2.39923i
\(179\) 4.86130e6 2.80668e6i 0.847605 0.489365i −0.0122367 0.999925i \(-0.503895\pi\)
0.859842 + 0.510560i \(0.170562\pi\)
\(180\) −9.85360e6 6.04236e6i −1.68958 1.03607i
\(181\) −2.54526e6 −0.429237 −0.214618 0.976698i \(-0.568851\pi\)
−0.214618 + 0.976698i \(0.568851\pi\)
\(182\) 4.40155e6 + 4.02581e6i 0.730115 + 0.667789i
\(183\) −17558.2 + 1.32609e6i −0.00286502 + 0.216381i
\(184\) 4.35830e6 7.54881e6i 0.699623 1.21178i
\(185\) 5.90344e6 3.40835e6i 0.932373 0.538306i
\(186\) 1.70839e6 + 3.05163e6i 0.265491 + 0.474234i
\(187\) −1.16813e6 + 2.02326e6i −0.178635 + 0.309404i
\(188\) 1.88341e7i 2.83446i
\(189\) −1.71580e6 + 6.52960e6i −0.254145 + 0.967166i
\(190\) −1.02455e7 −1.49374
\(191\) −4.74984e6 2.74232e6i −0.681677 0.393566i 0.118810 0.992917i \(-0.462092\pi\)
−0.800487 + 0.599351i \(0.795426\pi\)
\(192\) 1.57884e7 8.83881e6i 2.23066 1.24879i
\(193\) 2.64818e6 + 4.58678e6i 0.368362 + 0.638022i 0.989310 0.145830i \(-0.0465853\pi\)
−0.620948 + 0.783852i \(0.713252\pi\)
\(194\) −2.16955e7 1.25259e7i −2.97142 1.71555i
\(195\) 2.93008e6 + 38796.1i 0.395162 + 0.00523220i
\(196\) 1.74971e6 + 1.95833e7i 0.232380 + 2.60087i
\(197\) 6.77574e6i 0.886254i 0.896459 + 0.443127i \(0.146131\pi\)
−0.896459 + 0.443127i \(0.853869\pi\)
\(198\) 4.92317e6 8.02848e6i 0.634233 1.03428i
\(199\) −3.18804e6 5.52185e6i −0.404543 0.700689i 0.589725 0.807604i \(-0.299236\pi\)
−0.994268 + 0.106915i \(0.965903\pi\)
\(200\) 8.99236e6 5.19174e6i 1.12405 0.648968i
\(201\) 7.26809e6 + 4.32553e6i 0.895018 + 0.532662i
\(202\) −321806. −0.0390427
\(203\) 1.67822e6 7.60312e6i 0.200614 0.908875i
\(204\) 1.24042e7 + 164240.i 1.46109 + 0.0193458i
\(205\) 2.79928e6 4.84849e6i 0.324926 0.562788i
\(206\) −2.19321e7 + 1.26625e7i −2.50888 + 1.44850i
\(207\) −3.56279e6 + 1.93305e6i −0.401679 + 0.217938i
\(208\) −7.51386e6 + 1.30144e7i −0.834974 + 1.44622i
\(209\) 6.03618e6i 0.661186i
\(210\) 9.73644e6 + 9.14497e6i 1.05134 + 0.987471i
\(211\) 9.79434e6 1.04262 0.521312 0.853366i \(-0.325443\pi\)
0.521312 + 0.853366i \(0.325443\pi\)
\(212\) 2.92789e7 + 1.69042e7i 3.07289 + 1.77414i
\(213\) 1.32826e6 + 2.37262e6i 0.137450 + 0.245521i
\(214\) −7.90961e6 1.36999e7i −0.807075 1.39789i
\(215\) 3.10307e6 + 1.79156e6i 0.312231 + 0.180267i
\(216\) −3.08321e7 1.22528e6i −3.05944 0.121584i
\(217\) −881363. 2.78636e6i −0.0862533 0.272683i
\(218\) 2.43813e7i 2.35336i
\(219\) −6.58185e6 3.91713e6i −0.626637 0.372937i
\(220\) −6.73680e6 1.16685e7i −0.632682 1.09584i
\(221\) −2.72361e6 + 1.57248e6i −0.252330 + 0.145683i
\(222\) 1.50827e7 2.53430e7i 1.37854 2.31633i
\(223\) 1.24725e7 1.12471 0.562353 0.826897i \(-0.309896\pi\)
0.562353 + 0.826897i \(0.309896\pi\)
\(224\) −3.25021e7 + 1.02808e7i −2.89180 + 0.914712i
\(225\) −4.82685e6 127844.i −0.423757 0.0112236i
\(226\) −1.59915e7 + 2.76980e7i −1.38536 + 2.39951i
\(227\) 8.65703e6 4.99814e6i 0.740101 0.427298i −0.0820049 0.996632i \(-0.526132\pi\)
0.822106 + 0.569334i \(0.192799\pi\)
\(228\) −2.79672e7 + 1.56569e7i −2.35963 + 1.32099i
\(229\) 9.98184e6 1.72891e7i 0.831197 1.43968i −0.0658921 0.997827i \(-0.520989\pi\)
0.897089 0.441849i \(-0.145677\pi\)
\(230\) 8.01988e6i 0.659150i
\(231\) −5.38778e6 + 5.73625e6i −0.437093 + 0.465363i
\(232\) 3.55862e7 2.84982
\(233\) −1.95352e6 1.12787e6i −0.154437 0.0891642i 0.420790 0.907158i \(-0.361753\pi\)
−0.575227 + 0.817994i \(0.695086\pi\)
\(234\) 1.11432e7 6.04595e6i 0.869687 0.471864i
\(235\) 5.34622e6 + 9.25993e6i 0.411949 + 0.713516i
\(236\) 2.50951e7 + 1.44887e7i 1.90921 + 1.10228i
\(237\) 133078. 1.00507e7i 0.00999683 0.755011i
\(238\) −1.39991e7 3.08999e6i −1.03841 0.229206i
\(239\) 2.03216e7i 1.48855i 0.667871 + 0.744277i \(0.267206\pi\)
−0.667871 + 0.744277i \(0.732794\pi\)
\(240\) −1.72106e7 + 2.89186e7i −1.24498 + 2.09191i
\(241\) −4.15089e6 7.18955e6i −0.296544 0.513630i 0.678799 0.734325i \(-0.262501\pi\)
−0.975343 + 0.220694i \(0.929168\pi\)
\(242\) −1.38169e7 + 7.97717e6i −0.974907 + 0.562863i
\(243\) 1.19247e7 + 7.98077e6i 0.831053 + 0.556193i
\(244\) 8.20863e6 0.565069
\(245\) −6.41916e6 9.13162e6i −0.436495 0.620940i
\(246\) 320679. 2.42193e7i 0.0215410 1.62688i
\(247\) 4.06281e6 7.03699e6i 0.269610 0.466978i
\(248\) 1.15674e7 6.67844e6i 0.758369 0.437845i
\(249\) 3.20897e6 + 5.73204e6i 0.207858 + 0.371288i
\(250\) −1.60452e7 + 2.77911e7i −1.02689 + 1.77863i
\(251\) 9.61053e6i 0.607751i 0.952712 + 0.303876i \(0.0982808\pi\)
−0.952712 + 0.303876i \(0.901719\pi\)
\(252\) 4.05525e7 + 1.00841e7i 2.53406 + 0.630137i
\(253\) −4.72493e6 −0.291766
\(254\) 3.05523e7 + 1.76394e7i 1.86442 + 1.07642i
\(255\) −6.14524e6 + 3.44029e6i −0.370611 + 0.207479i
\(256\) −7.64798e6 1.32467e7i −0.455855 0.789564i
\(257\) −2.16590e7 1.25048e7i −1.27597 0.736680i −0.299863 0.953982i \(-0.596941\pi\)
−0.976104 + 0.217302i \(0.930274\pi\)
\(258\) 1.55006e7 + 205237.i 0.902585 + 0.0119508i
\(259\) −1.66325e7 + 1.81848e7i −0.957322 + 1.04667i
\(260\) 1.81375e7i 1.03195i
\(261\) −1.41072e7 8.65073e6i −0.793450 0.486554i
\(262\) −2.47640e7 4.28925e7i −1.37694 2.38494i
\(263\) −9.79370e6 + 5.65439e6i −0.538368 + 0.310827i −0.744417 0.667715i \(-0.767273\pi\)
0.206049 + 0.978542i \(0.433939\pi\)
\(264\) −3.09086e7 1.83950e7i −1.67984 0.999742i
\(265\) −1.91936e7 −1.03138
\(266\) 3.53155e7 1.11707e7i 1.87638 0.593522i
\(267\) −2.77466e7 367382.i −1.45772 0.0193012i
\(268\) 2.61753e7 4.53369e7i 1.35984 2.35531i
\(269\) 5.37820e6 3.10511e6i 0.276300 0.159522i −0.355447 0.934696i \(-0.615671\pi\)
0.631747 + 0.775175i \(0.282338\pi\)
\(270\) 2.51308e7 1.32075e7i 1.27677 0.671011i
\(271\) 3.35826e6 5.81667e6i 0.168735 0.292258i −0.769240 0.638960i \(-0.779365\pi\)
0.937975 + 0.346702i \(0.112698\pi\)
\(272\) 3.61173e7i 1.79477i
\(273\) −1.01420e7 + 3.06094e6i −0.498467 + 0.150441i
\(274\) −5.34046e6 −0.259613
\(275\) −4.87441e6 2.81424e6i −0.234382 0.135320i
\(276\) 1.22557e7 + 2.18918e7i 0.582922 + 1.04125i
\(277\) 7.91270e6 + 1.37052e7i 0.372293 + 0.644831i 0.989918 0.141642i \(-0.0452382\pi\)
−0.617625 + 0.786473i \(0.711905\pi\)
\(278\) −4.27691e6 2.46928e6i −0.199066 0.114931i
\(279\) −6.20906e6 164453.i −0.285900 0.00757232i
\(280\) 3.44311e7 3.76446e7i 1.56847 1.71486i
\(281\) 3.10647e7i 1.40007i 0.714110 + 0.700033i \(0.246832\pi\)
−0.714110 + 0.700033i \(0.753168\pi\)
\(282\) 3.97522e7 + 2.36581e7i 1.77261 + 1.05495i
\(283\) 7.49497e6 + 1.29817e7i 0.330682 + 0.572758i 0.982646 0.185492i \(-0.0593879\pi\)
−0.651964 + 0.758250i \(0.726055\pi\)
\(284\) 1.45754e7 8.41510e6i 0.636304 0.367370i
\(285\) 9.30594e6 1.56365e7i 0.402000 0.675470i
\(286\) 1.47780e7 0.631710
\(287\) −4.36254e6 + 1.97644e7i −0.184541 + 0.836060i
\(288\) −1.91829e6 + 7.24269e7i −0.0803041 + 3.03195i
\(289\) −8.28952e6 + 1.43579e7i −0.343428 + 0.594835i
\(290\) −2.83552e7 + 1.63709e7i −1.16262 + 0.671241i
\(291\) 3.88226e7 2.17340e7i 1.57545 0.881986i
\(292\) −2.37039e7 + 4.10563e7i −0.952074 + 1.64904i
\(293\) 9.12000e6i 0.362570i −0.983431 0.181285i \(-0.941974\pi\)
0.983431 0.181285i \(-0.0580257\pi\)
\(294\) −4.35314e7 2.09062e7i −1.71301 0.822685i
\(295\) −1.64509e7 −0.640803
\(296\) −9.75444e7 5.63173e7i −3.76121 2.17153i
\(297\) 7.78124e6 + 1.48059e7i 0.297016 + 0.565150i
\(298\) 7.40921e6 + 1.28331e7i 0.279977 + 0.484935i
\(299\) −5.50833e6 3.18024e6i −0.206066 0.118972i
\(300\) −395684. + 2.98840e7i −0.0146550 + 1.10682i
\(301\) −1.26494e7 2.79206e6i −0.463841 0.102382i
\(302\) 3.24134e7i 1.17680i
\(303\) 292294. 491134.i 0.0105073 0.0176552i
\(304\) 4.66581e7 + 8.08142e7i 1.66076 + 2.87652i
\(305\) −4.03584e6 + 2.33009e6i −0.142244 + 0.0821247i
\(306\) −1.59280e7 + 2.59746e7i −0.555900 + 0.906536i
\(307\) 5.27834e7 1.82424 0.912121 0.409920i \(-0.134444\pi\)
0.912121 + 0.409920i \(0.134444\pi\)
\(308\) 3.59433e7 + 3.28751e7i 1.23017 + 1.12516i
\(309\) 595481. 4.49737e7i 0.0201833 1.52434i
\(310\) −6.14462e6 + 1.06428e7i −0.206258 + 0.357249i
\(311\) 1.95682e7 1.12977e7i 0.650532 0.375585i −0.138128 0.990414i \(-0.544108\pi\)
0.788660 + 0.614829i \(0.210775\pi\)
\(312\) −2.36521e7 4.22488e7i −0.778765 1.39107i
\(313\) 2.08240e7 3.60682e7i 0.679096 1.17623i −0.296157 0.955139i \(-0.595705\pi\)
0.975253 0.221090i \(-0.0709615\pi\)
\(314\) 5.60950e7i 1.81191i
\(315\) −2.28004e7 + 6.55327e6i −0.729476 + 0.209665i
\(316\) −6.22153e7 −1.97168
\(317\) 1.33924e7 + 7.73209e6i 0.420417 + 0.242728i 0.695256 0.718763i \(-0.255291\pi\)
−0.274839 + 0.961490i \(0.588625\pi\)
\(318\) −7.24571e7 + 4.05636e7i −2.25320 + 1.26141i
\(319\) −9.64495e6 1.67055e7i −0.297117 0.514622i
\(320\) 5.50632e7 + 3.17908e7i 1.68040 + 0.970177i
\(321\) 2.80927e7 + 371966.i 0.849334 + 0.0112457i
\(322\) −8.74409e6 2.76438e7i −0.261907 0.828000i
\(323\) 1.95289e7i 0.579524i
\(324\) 4.84160e7 7.44564e7i 1.42349 2.18911i
\(325\) −3.78839e6 6.56169e6i −0.110358 0.191146i
\(326\) −2.98714e6 + 1.72462e6i −0.0862188 + 0.0497785i
\(327\) 3.72103e7 + 2.21454e7i 1.06419 + 0.633344i
\(328\) −9.25067e7 −2.62151
\(329\) −2.85241e7 2.60892e7i −0.800984 0.732609i
\(330\) 3.30904e7 + 438139.i 0.920790 + 0.0121919i
\(331\) 1.97312e7 3.41755e7i 0.544089 0.942390i −0.454575 0.890709i \(-0.650209\pi\)
0.998664 0.0516811i \(-0.0164579\pi\)
\(332\) 3.52128e7 2.03301e7i 0.962247 0.555553i
\(333\) 2.49786e7 + 4.60378e7i 0.676449 + 1.24676i
\(334\) 2.58579e7 4.47871e7i 0.693990 1.20203i
\(335\) 2.97203e7i 0.790531i
\(336\) 2.77935e7 1.18445e8i 0.732699 3.12247i
\(337\) −8.73243e6 −0.228163 −0.114082 0.993471i \(-0.536393\pi\)
−0.114082 + 0.993471i \(0.536393\pi\)
\(338\) −4.63207e7 2.67433e7i −1.19957 0.692571i
\(339\) −2.77473e7 4.95638e7i −0.712232 1.27223i
\(340\) 2.17957e7 + 3.77512e7i 0.554541 + 0.960492i
\(341\) −6.27023e6 3.62012e6i −0.158132 0.0912977i
\(342\) 2.08434e6 7.86960e7i 0.0521063 1.96732i
\(343\) 3.20825e7 + 2.44771e7i 0.795034 + 0.606565i
\(344\) 5.92050e7i 1.45440i
\(345\) −1.22398e7 7.28439e6i −0.298069 0.177393i
\(346\) 3.31888e7 + 5.74847e7i 0.801242 + 1.38779i
\(347\) −8.33092e6 + 4.80986e6i −0.199390 + 0.115118i −0.596371 0.802709i \(-0.703391\pi\)
0.396981 + 0.917827i \(0.370058\pi\)
\(348\) −5.23836e7 + 8.80189e7i −1.24296 + 2.08852i
\(349\) −7.83949e7 −1.84422 −0.922108 0.386934i \(-0.873534\pi\)
−0.922108 + 0.386934i \(0.873534\pi\)
\(350\) 7.44435e6 3.37264e7i 0.173629 0.786623i
\(351\) −894084. + 2.24981e7i −0.0206756 + 0.520264i
\(352\) −4.22277e7 + 7.31404e7i −0.968209 + 1.67699i
\(353\) 5.43787e7 3.13956e7i 1.23625 0.713747i 0.267921 0.963441i \(-0.413663\pi\)
0.968325 + 0.249694i \(0.0803299\pi\)
\(354\) −6.21033e7 + 3.47673e7i −1.39992 + 0.783720i
\(355\) −4.77740e6 + 8.27470e6i −0.106784 + 0.184955i
\(356\) 1.71754e8i 3.80678i
\(357\) 1.74312e7 1.85586e7i 0.383108 0.407887i
\(358\) 8.53374e7 1.85990
\(359\) 5.89489e7 + 3.40342e7i 1.27407 + 0.735583i 0.975751 0.218884i \(-0.0702416\pi\)
0.298316 + 0.954467i \(0.403575\pi\)
\(360\) −5.17085e7 9.53033e7i −1.10829 2.04268i
\(361\) −1.70551e6 2.95403e6i −0.0362520 0.0627904i
\(362\) −3.35105e7 1.93473e7i −0.706407 0.407844i
\(363\) 375143. 2.83326e7i 0.00784290 0.592335i
\(364\) 1.97754e7 + 6.25184e7i 0.410035 + 1.29630i
\(365\) 2.69142e7i 0.553481i
\(366\) −1.03111e7 + 1.73256e7i −0.210312 + 0.353382i
\(367\) 2.31586e7 + 4.01119e7i 0.468505 + 0.811475i 0.999352 0.0359928i \(-0.0114593\pi\)
−0.530847 + 0.847468i \(0.678126\pi\)
\(368\) 6.32588e7 3.65225e7i 1.26934 0.732853i
\(369\) 3.66718e7 + 2.24876e7i 0.729883 + 0.447574i
\(370\) 1.03631e8 2.04591
\(371\) 6.61587e7 2.09268e7i 1.29558 0.409809i
\(372\) −508991. + 3.84416e7i −0.00988739 + 0.746745i
\(373\) −2.15706e7 + 3.73614e7i −0.415658 + 0.719941i −0.995497 0.0947900i \(-0.969782\pi\)
0.579839 + 0.814731i \(0.303115\pi\)
\(374\) −3.07588e7 + 1.77586e7i −0.587968 + 0.339464i
\(375\) −2.78406e7 4.97304e7i −0.527939 0.943035i
\(376\) 8.83373e7 1.53005e8i 1.66181 2.87833i
\(377\) 2.59671e7i 0.484619i
\(378\) −7.22233e7 + 7.29252e7i −1.33722 + 1.35021i
\(379\) −3.53345e7 −0.649055 −0.324527 0.945876i \(-0.605205\pi\)
−0.324527 + 0.945876i \(0.605205\pi\)
\(380\) −9.75377e7 5.63134e7i −1.77755 1.02627i
\(381\) −5.46713e7 + 3.06066e7i −0.988518 + 0.553402i
\(382\) −4.16904e7 7.22098e7i −0.747903 1.29541i
\(383\) −6.95848e7 4.01748e7i −1.23856 0.715085i −0.269763 0.962927i \(-0.586945\pi\)
−0.968801 + 0.247842i \(0.920279\pi\)
\(384\) 1.03330e8 + 1.36815e6i 1.82487 + 0.0241624i
\(385\) −2.70037e7 5.96046e6i −0.473196 0.104447i
\(386\) 8.05182e7i 1.40001i
\(387\) −1.43923e7 + 2.34703e7i −0.248311 + 0.404935i
\(388\) −1.37694e8 2.38493e8i −2.35733 4.08301i
\(389\) −2.83908e7 + 1.63914e7i −0.482313 + 0.278464i −0.721380 0.692539i \(-0.756492\pi\)
0.239067 + 0.971003i \(0.423159\pi\)
\(390\) 3.82820e7 + 2.27831e7i 0.645358 + 0.384078i
\(391\) 1.52866e7 0.255730
\(392\) −7.76371e7 + 1.67298e8i −1.28888 + 2.77736i
\(393\) 8.79546e7 + 1.16458e6i 1.44904 + 0.0191863i
\(394\) −5.15044e7 + 8.92082e7i −0.842084 + 1.45853i
\(395\) 3.05886e7 1.76604e7i 0.496328 0.286555i
\(396\) 9.09963e7 4.93716e7i 1.46534 0.795045i
\(397\) −5.28094e7 + 9.14686e7i −0.843995 + 1.46184i 0.0424967 + 0.999097i \(0.486469\pi\)
−0.886491 + 0.462745i \(0.846865\pi\)
\(398\) 9.69330e7i 1.53753i
\(399\) −1.50282e7 + 6.40441e7i −0.236586 + 1.00823i
\(400\) 8.70133e7 1.35958
\(401\) −7.62022e7 4.39953e7i −1.18177 0.682297i −0.225349 0.974278i \(-0.572352\pi\)
−0.956424 + 0.291981i \(0.905686\pi\)
\(402\) 6.28107e7 + 1.12196e8i 0.966842 + 1.72703i
\(403\) −4.87323e6 8.44069e6i −0.0744564 0.128962i
\(404\) −3.06360e6 1.76877e6i −0.0464609 0.0268242i
\(405\) −2.66903e6 + 5.03504e7i −0.0401779 + 0.757945i
\(406\) 7.98887e7 8.73448e7i 1.19373 1.30514i
\(407\) 6.10548e7i 0.905600i
\(408\) 9.99991e7 + 5.95135e7i 1.47237 + 0.876265i
\(409\) −1.01262e7 1.75391e7i −0.148005 0.256352i 0.782485 0.622669i \(-0.213952\pi\)
−0.930490 + 0.366317i \(0.880618\pi\)
\(410\) 7.37096e7 4.25562e7i 1.06948 0.617464i
\(411\) 4.85070e6 8.15051e6i 0.0698681 0.117398i
\(412\) −2.78392e8 −3.98076
\(413\) 5.67049e7 1.79365e7i 0.804953 0.254617i
\(414\) −6.16008e7 1.63155e6i −0.868131 0.0229933i
\(415\) −1.15418e7 + 1.99909e7i −0.161483 + 0.279698i
\(416\) −9.84581e7 + 5.68448e7i −1.36764 + 0.789607i
\(417\) 7.65326e6 4.28452e6i 0.105545 0.0590873i
\(418\) 4.58828e7 7.94713e7i 0.628233 1.08813i
\(419\) 1.20677e8i 1.64052i −0.571991 0.820260i \(-0.693829\pi\)
0.571991 0.820260i \(-0.306171\pi\)
\(420\) 4.24268e7 + 1.40575e8i 0.572654 + 1.89741i
\(421\) 4.92455e7 0.659964 0.329982 0.943987i \(-0.392957\pi\)
0.329982 + 0.943987i \(0.392957\pi\)
\(422\) 1.28951e8 + 7.44496e7i 1.71588 + 0.990661i
\(423\) −7.22132e7 + 3.91805e7i −0.954104 + 0.517666i
\(424\) 1.58571e8 + 2.74653e8i 2.08030 + 3.60319i
\(425\) 1.57702e7 + 9.10495e6i 0.205433 + 0.118607i
\(426\) −547289. + 4.13340e7i −0.00707926 + 0.534661i
\(427\) 1.13707e7 1.24319e7i 0.146050 0.159681i
\(428\) 1.73897e8i 2.21800i
\(429\) −1.34228e7 + 2.25539e7i −0.170008 + 0.285661i
\(430\) 2.72363e7 + 4.71747e7i 0.342565 + 0.593340i
\(431\) −2.48879e7 + 1.43690e7i −0.310854 + 0.179472i −0.647309 0.762228i \(-0.724106\pi\)
0.336454 + 0.941700i \(0.390772\pi\)
\(432\) −2.18623e8 1.38078e8i −2.71172 1.71267i
\(433\) 5.19787e6 0.0640268 0.0320134 0.999487i \(-0.489808\pi\)
0.0320134 + 0.999487i \(0.489808\pi\)
\(434\) 9.57611e6 4.33843e7i 0.117144 0.530717i
\(435\) 769874. 5.81447e7i 0.00935302 0.706387i
\(436\) 1.34009e8 2.32111e8i 1.61687 2.80050i
\(437\) −3.42046e7 + 1.97480e7i −0.409864 + 0.236635i
\(438\) −5.68803e7 1.01603e8i −0.676923 1.20916i
\(439\) −4.48312e7 + 7.76498e7i −0.529891 + 0.917798i 0.469501 + 0.882932i \(0.344434\pi\)
−0.999392 + 0.0348659i \(0.988900\pi\)
\(440\) 1.26390e8i 1.48373i
\(441\) 7.14460e7 4.74479e7i 0.833033 0.553224i
\(442\) −4.78115e7 −0.553688
\(443\) −1.24331e6 717824.i −0.0143010 0.00825670i 0.492832 0.870124i \(-0.335962\pi\)
−0.507133 + 0.861868i \(0.669295\pi\)
\(444\) 2.82882e8 1.58366e8i 3.23189 1.80931i
\(445\) −4.87540e7 8.44444e7i −0.553261 0.958277i
\(446\) 1.64211e8 + 9.48072e7i 1.85096 + 1.06865i
\(447\) −2.63154e7 348433.i −0.294637 0.00390119i
\(448\) −2.24460e8 4.95444e7i −2.49634 0.551011i
\(449\) 6.57827e7i 0.726729i 0.931647 + 0.363365i \(0.118372\pi\)
−0.931647 + 0.363365i \(0.881628\pi\)
\(450\) −6.25777e7 3.83735e7i −0.686724 0.421108i
\(451\) 2.50721e7 + 4.34262e7i 0.273314 + 0.473393i
\(452\) −3.04478e8 + 1.75790e8i −3.29716 + 1.90362i
\(453\) 4.94688e7 + 2.94409e7i 0.532153 + 0.316706i
\(454\) 1.51969e8 1.62401
\(455\) −2.74691e7 2.51243e7i −0.291615 0.266722i
\(456\) −3.00635e8 3.98061e6i −3.17063 0.0419812i
\(457\) 7.46008e7 1.29212e8i 0.781619 1.35380i −0.149380 0.988780i \(-0.547728\pi\)
0.930998 0.365023i \(-0.118939\pi\)
\(458\) 2.62838e8 1.51750e8i 2.73585 1.57954i
\(459\) −2.51747e7 4.79016e7i −0.260332 0.495349i
\(460\) −4.40804e7 + 7.63494e7i −0.452868 + 0.784390i
\(461\) 1.28434e8i 1.31093i 0.755227 + 0.655463i \(0.227527\pi\)
−0.755227 + 0.655463i \(0.772473\pi\)
\(462\) −1.14537e8 + 3.45683e7i −1.16151 + 0.350552i
\(463\) 1.63804e8 1.65037 0.825186 0.564861i \(-0.191070\pi\)
0.825186 + 0.564861i \(0.191070\pi\)
\(464\) 2.58259e8 + 1.49106e8i 2.58524 + 1.49259i
\(465\) −1.06617e7 1.90446e7i −0.106040 0.189414i
\(466\) −1.71465e7 2.96986e7i −0.169441 0.293480i
\(467\) −6.28394e7 3.62803e7i −0.616994 0.356222i 0.158703 0.987326i \(-0.449269\pi\)
−0.775698 + 0.631104i \(0.782602\pi\)
\(468\) 1.39314e8 + 3.68987e6i 1.35912 + 0.0359976i
\(469\) −3.24041e7 1.02443e8i −0.314110 0.993036i
\(470\) 1.62553e8i 1.56567i
\(471\) −8.56112e7 5.09507e7i −0.819347 0.487627i
\(472\) 1.35912e8 + 2.35406e8i 1.29250 + 2.23868i
\(473\) −2.77931e7 + 1.60464e7i −0.262636 + 0.151633i
\(474\) 7.81507e7 1.31315e8i 0.733834 1.23304i
\(475\) −4.70489e7 −0.439004
\(476\) −1.16288e8 1.06361e8i −1.07824 0.986194i
\(477\) 3.90472e6 1.47426e8i 0.0359778 1.35838i
\(478\) −1.54471e8 + 2.67551e8i −1.41437 + 2.44976i
\(479\) −1.28392e8 + 7.41274e7i −1.16824 + 0.674485i −0.953265 0.302134i \(-0.902301\pi\)
−0.214977 + 0.976619i \(0.568968\pi\)
\(480\) −2.22149e8 + 1.24366e8i −2.00873 + 1.12455i
\(481\) −4.10945e7 + 7.11778e7i −0.369274 + 0.639601i
\(482\) 1.26208e8i 1.12706i
\(483\) 5.01317e7 + 1.17636e7i 0.444909 + 0.104400i
\(484\) −1.75382e8 −1.54686
\(485\) 1.35397e8 + 7.81714e7i 1.18682 + 0.685208i
\(486\) 9.63344e7 + 1.95716e8i 0.839214 + 1.70498i
\(487\) −2.70494e7 4.68510e7i −0.234191 0.405632i 0.724846 0.688911i \(-0.241911\pi\)
−0.959037 + 0.283279i \(0.908578\pi\)
\(488\) 6.66854e7 + 3.85008e7i 0.573814 + 0.331292i
\(489\) 81103.9 6.12537e6i 0.000693610 0.0523849i
\(490\) −1.51014e7 1.69019e8i −0.128360 1.43664i
\(491\) 2.04007e8i 1.72346i −0.507366 0.861730i \(-0.669381\pi\)
0.507366 0.861730i \(-0.330619\pi\)
\(492\) 1.36172e8 2.28806e8i 1.14338 1.92120i
\(493\) 3.12044e7 + 5.40477e7i 0.260421 + 0.451062i
\(494\) 1.06980e8 6.17652e7i 0.887409 0.512346i
\(495\) −3.07245e7 + 5.01040e7i −0.253320 + 0.413102i
\(496\) 1.11930e8 0.917282
\(497\) 7.44535e6 3.37310e7i 0.0606479 0.274764i
\(498\) −1.32220e6 + 9.98593e7i −0.0107056 + 0.808538i
\(499\) 1.41399e7 2.44911e7i 0.113801 0.197109i −0.803499 0.595306i \(-0.797031\pi\)
0.917300 + 0.398197i \(0.130364\pi\)
\(500\) −3.05502e8 + 1.76381e8i −2.44401 + 1.41105i
\(501\) 4.48668e7 + 8.01436e7i 0.356789 + 0.637318i
\(502\) −7.30524e7 + 1.26530e8i −0.577462 + 1.00019i
\(503\) 2.25847e8i 1.77464i 0.461150 + 0.887322i \(0.347437\pi\)
−0.461150 + 0.887322i \(0.652563\pi\)
\(504\) 2.82144e8 + 2.72124e8i 2.20383 + 2.12557i
\(505\) 2.00832e6 0.0155941
\(506\) −6.22076e7 3.59156e7i −0.480167 0.277224i
\(507\) 8.28878e7 4.64031e7i 0.636014 0.356060i
\(508\) 1.93906e8 + 3.35855e8i 1.47911 + 2.56189i
\(509\) −4.94331e7 2.85402e7i −0.374856 0.216423i 0.300722 0.953712i \(-0.402772\pi\)
−0.675578 + 0.737289i \(0.736106\pi\)
\(510\) −1.07058e8 1.41752e6i −0.807064 0.0106861i
\(511\) 2.93446e7 + 9.27709e7i 0.219920 + 0.695263i
\(512\) 1.24130e7i 0.0924837i
\(513\) 1.18211e8 + 7.46601e7i 0.875602 + 0.553014i
\(514\) −1.90106e8 3.29273e8i −1.39993 2.42475i
\(515\) 1.36874e8 7.90241e7i 1.00207 0.578546i
\(516\) 1.46438e8 + 8.71509e7i 1.06587 + 0.634341i
\(517\) −9.57684e7 −0.693028
\(518\) −3.57209e8 + 1.12990e8i −2.57000 + 0.812923i
\(519\) −1.17877e8 1.56077e6i −0.843195 0.0111645i
\(520\) 8.50702e7 1.47346e8i 0.605017 1.04792i
\(521\) 3.68679e7 2.12857e7i 0.260696 0.150513i −0.363956 0.931416i \(-0.618574\pi\)
0.624652 + 0.780903i \(0.285241\pi\)
\(522\) −1.19976e8 2.21127e8i −0.843498 1.55464i
\(523\) 2.81822e7 4.88130e7i 0.197001 0.341217i −0.750553 0.660810i \(-0.770213\pi\)
0.947555 + 0.319593i \(0.103546\pi\)
\(524\) 5.44450e8i 3.78411i
\(525\) 4.47110e7 + 4.19949e7i 0.308985 + 0.290214i
\(526\) −1.71923e8 −1.18134
\(527\) 2.02862e7 + 1.17122e7i 0.138602 + 0.0800216i
\(528\) −1.47238e8 2.63004e8i −1.00027 1.78674i
\(529\) −5.85598e7 1.01429e8i −0.395579 0.685162i
\(530\) −2.52700e8 1.45896e8i −1.69737 0.979978i
\(531\) 3.34676e6 1.26360e8i 0.0223532 0.843966i
\(532\) 3.97603e8 + 8.77618e7i 2.64067 + 0.582869i
\(533\) 6.75018e7i 0.445793i
\(534\) −3.62514e8 2.15747e8i −2.38068 1.41684i
\(535\) 4.93622e7 + 8.54979e7i 0.322354 + 0.558334i
\(536\) 4.25286e8 2.45539e8i 2.76177 1.59451i
\(537\) −7.75114e7 + 1.30240e8i −0.500544 + 0.841052i
\(538\) 9.44113e7 0.606285
\(539\) 9.95781e7 8.89701e6i 0.635913 0.0568169i
\(540\) 3.11839e8 + 1.23926e7i 1.98038 + 0.0787014i
\(541\) −5.57242e7 + 9.65171e7i −0.351926 + 0.609555i −0.986587 0.163237i \(-0.947807\pi\)
0.634660 + 0.772791i \(0.281140\pi\)
\(542\) 8.84284e7 5.10542e7i 0.555385 0.320652i
\(543\) 5.99648e7 3.35701e7i 0.374539 0.209678i
\(544\) 1.36620e8 2.36632e8i 0.848626 1.46986i
\(545\) 1.52159e8i 0.939955i
\(546\) −1.56795e8 3.67926e7i −0.963284 0.226039i
\(547\) 1.01171e8 0.618148 0.309074 0.951038i \(-0.399981\pi\)
0.309074 + 0.951038i \(0.399981\pi\)
\(548\) −5.08413e7 2.93532e7i −0.308941 0.178367i
\(549\) −1.70764e7 3.14733e7i −0.103200 0.190207i
\(550\) −4.27837e7 7.41036e7i −0.257152 0.445401i
\(551\) −1.39643e8 8.06228e7i −0.834764 0.481951i
\(552\) −3.11589e6 + 2.35328e8i −0.0185253 + 1.39912i
\(553\) −8.61812e7 + 9.42246e7i −0.509609 + 0.557171i
\(554\) 2.40587e8i 1.41496i
\(555\) −9.41277e7 + 1.58160e8i −0.550603 + 0.925165i
\(556\) −2.71442e7 4.70151e7i −0.157926 0.273535i
\(557\) −7.01201e7 + 4.04839e7i −0.405767 + 0.234270i −0.688969 0.724790i \(-0.741937\pi\)
0.283202 + 0.959060i \(0.408603\pi\)
\(558\) −8.04974e7 4.93621e7i −0.463318 0.284113i
\(559\) −4.32017e7 −0.247323
\(560\) 4.07606e8 1.28931e8i 2.32101 0.734165i
\(561\) 835133. 6.30734e7i 0.00473006 0.357238i
\(562\) −2.36132e8 + 4.08993e8i −1.33029 + 2.30413i
\(563\) −8.14216e7 + 4.70088e7i −0.456262 + 0.263423i −0.710471 0.703726i \(-0.751518\pi\)
0.254209 + 0.967149i \(0.418185\pi\)
\(564\) 2.48407e8 + 4.43719e8i 1.38461 + 2.47327i
\(565\) 9.97993e7 1.72857e8i 0.553327 0.958391i
\(566\) 2.27886e8i 1.25681i
\(567\) −4.56972e7 1.76463e8i −0.250692 0.968067i
\(568\) 1.57877e8 0.861536
\(569\) 1.28522e8 + 7.42023e7i 0.697656 + 0.402792i 0.806474 0.591270i \(-0.201373\pi\)
−0.108818 + 0.994062i \(0.534707\pi\)
\(570\) 2.41378e8 1.35131e8i 1.30339 0.729676i
\(571\) 827390. + 1.43308e6i 0.00444428 + 0.00769773i 0.868239 0.496146i \(-0.165252\pi\)
−0.863795 + 0.503844i \(0.831919\pi\)
\(572\) 1.40687e8 + 8.12256e7i 0.751737 + 0.434015i
\(573\) 1.48072e8 + 1.96057e6i 0.787064 + 0.0104212i
\(574\) −2.07671e8 + 2.27053e8i −1.09810 + 1.20058i
\(575\) 3.68284e7i 0.193722i
\(576\) −2.55387e8 + 4.16474e8i −1.33638 + 2.17931i
\(577\) 2.51308e7 + 4.35278e7i 0.130821 + 0.226589i 0.923993 0.382408i \(-0.124905\pi\)
−0.793172 + 0.608998i \(0.791572\pi\)
\(578\) −2.18277e8 + 1.26022e8i −1.13038 + 0.652625i
\(579\) −1.22885e8 7.31341e7i −0.633089 0.376777i
\(580\) −3.59923e8 −1.84470
\(581\) 1.79873e7 8.14910e7i 0.0917144 0.415510i
\(582\) 6.76338e8 + 8.95515e6i 3.43080 + 0.0454260i
\(583\) 8.59552e7 1.48879e8i 0.433777 0.751323i
\(584\) −3.85132e8 + 2.22356e8i −1.93362 + 1.11638i
\(585\) −6.95424e7 + 3.77315e7i −0.347362 + 0.188467i
\(586\) 6.93238e7 1.20072e8i 0.344500 0.596692i
\(587\) 2.79611e8i 1.38242i −0.722654 0.691210i \(-0.757078\pi\)
0.722654 0.691210i \(-0.242922\pi\)
\(588\) −2.99511e8 4.38293e8i −1.47327 2.15592i
\(589\) −6.05217e7 −0.296186
\(590\) −2.16590e8 1.25048e8i −1.05459 0.608866i
\(591\) −8.93669e7 1.59632e8i −0.432926 0.773318i
\(592\) −4.71937e8 8.17419e8i −2.27467 3.93985i
\(593\) 3.01296e8 + 1.73953e8i 1.44487 + 0.834198i 0.998169 0.0604846i \(-0.0192646\pi\)
0.446703 + 0.894682i \(0.352598\pi\)
\(594\) −1.00972e7 + 2.54079e8i −0.0481773 + 1.21230i
\(595\) 8.73654e7 + 1.92840e7i 0.414752 + 0.0915472i
\(596\) 1.62895e8i 0.769432i
\(597\) 1.47937e8 + 8.80435e7i 0.695272 + 0.413785i
\(598\) −4.83478e7 8.37409e7i −0.226086 0.391592i
\(599\) −3.86903e7 + 2.23379e7i −0.180020 + 0.103935i −0.587302 0.809368i \(-0.699810\pi\)
0.407282 + 0.913303i \(0.366477\pi\)
\(600\) −1.43379e8 + 2.40917e8i −0.663793 + 1.11535i
\(601\) 6.06419e7 0.279350 0.139675 0.990197i \(-0.455394\pi\)
0.139675 + 0.990197i \(0.455394\pi\)
\(602\) −1.45316e8 1.32911e8i −0.666076 0.609217i
\(603\) −2.28282e8 6.04626e6i −1.04117 0.0275762i
\(604\) 1.78157e8 3.08576e8i 0.808521 1.40040i
\(605\) 8.62281e7 4.97838e7i 0.389388 0.224813i
\(606\) 7.58154e6 4.24437e6i 0.0340674 0.0190720i
\(607\) 1.78273e8 3.08778e8i 0.797113 1.38064i −0.124376 0.992235i \(-0.539693\pi\)
0.921489 0.388405i \(-0.126974\pi\)
\(608\) 7.05968e8i 3.14105i
\(609\) 6.07417e7 + 2.01259e8i 0.268927 + 0.891054i
\(610\) −7.08468e7 −0.312127
\(611\) −1.11647e8 6.44594e7i −0.489467 0.282594i
\(612\) −2.94401e8 + 1.59733e8i −1.28436 + 0.696850i
\(613\) 8.81058e7 + 1.52604e8i 0.382493 + 0.662497i 0.991418 0.130731i \(-0.0417324\pi\)
−0.608925 + 0.793228i \(0.708399\pi\)
\(614\) 6.94937e8 + 4.01222e8i 3.00221 + 1.73332i
\(615\) −2.00129e6 + 1.51148e8i −0.00860370 + 0.649795i
\(616\) 1.37804e8 + 4.35656e8i 0.589547 + 1.86381i
\(617\) 3.09108e8i 1.31599i −0.753020 0.657997i \(-0.771404\pi\)
0.753020 0.657997i \(-0.228596\pi\)
\(618\) 3.49698e8 5.87589e8i 1.48159 2.48948i
\(619\) −8.14542e7 1.41083e8i −0.343433 0.594843i 0.641635 0.767010i \(-0.278256\pi\)
−0.985068 + 0.172167i \(0.944923\pi\)
\(620\) −1.16994e8 + 6.75464e7i −0.490894 + 0.283418i
\(621\) 5.84416e7 9.25320e7i 0.244032 0.386382i
\(622\) 3.43508e8 1.42747
\(623\) 2.60121e8 + 2.37916e8i 1.07575 + 0.983919i
\(624\) 5.37190e6 4.05713e8i 0.0221093 1.66980i
\(625\) 4.83885e7 8.38114e7i 0.198199 0.343292i
\(626\) 5.48331e8 3.16579e8i 2.23522 1.29050i
\(627\) 7.96127e7 + 1.42209e8i 0.322983 + 0.576931i
\(628\) −3.08320e8 + 5.34026e8i −1.24487 + 2.15617i
\(629\) 1.97531e8i 0.793750i
\(630\) −3.49999e8 8.70334e7i −1.39973 0.348068i
\(631\) −1.60048e7 −0.0637033 −0.0318516 0.999493i \(-0.510140\pi\)
−0.0318516 + 0.999493i \(0.510140\pi\)
\(632\) −5.05426e8 2.91808e8i −2.00219 1.15597i
\(633\) −2.30748e8 + 1.29180e8i −0.909762 + 0.509312i
\(634\) 1.17548e8 + 2.03599e8i 0.461261 + 0.798927i
\(635\) −1.90671e8 1.10084e8i −0.744667 0.429934i
\(636\) −9.12746e8 1.20854e7i −3.54796 0.0469773i
\(637\) 1.22077e8 + 5.66515e7i 0.472296 + 0.219176i
\(638\) 2.93256e8i 1.12924i
\(639\) −6.25861e7 3.83786e7i −0.239870 0.147091i
\(640\) 1.81562e8 + 3.14475e8i 0.692606 + 1.19963i
\(641\) −2.84297e8 + 1.64139e8i −1.07944 + 0.623214i −0.930745 0.365669i \(-0.880840\pi\)
−0.148694 + 0.988883i \(0.547507\pi\)
\(642\) 3.67036e8 + 2.18438e8i 1.38709 + 0.825512i
\(643\) 8.93787e7 0.336203 0.168101 0.985770i \(-0.446236\pi\)
0.168101 + 0.985770i \(0.446236\pi\)
\(644\) 6.86972e7 3.11231e8i 0.257206 1.16526i
\(645\) −9.67357e7 1.28084e6i −0.360502 0.00477328i
\(646\) −1.48445e8 + 2.57115e8i −0.550641 + 0.953738i
\(647\) −4.17800e8 + 2.41217e8i −1.54261 + 0.890625i −0.543934 + 0.839128i \(0.683066\pi\)
−0.998673 + 0.0514968i \(0.983601\pi\)
\(648\) 7.42545e8 3.77785e8i 2.72896 1.38842i
\(649\) 7.36726e7 1.27605e8i 0.269508 0.466802i
\(650\) 1.15187e8i 0.419433i
\(651\) 5.75144e7 + 5.40205e7i 0.208465 + 0.195801i
\(652\) −3.79168e7 −0.136801
\(653\) −1.40623e8 8.11888e7i −0.505030 0.291579i 0.225758 0.974183i \(-0.427514\pi\)
−0.730788 + 0.682604i \(0.760847\pi\)
\(654\) 3.21571e8 + 5.74408e8i 1.14959 + 2.05347i
\(655\) 1.54547e8 + 2.67683e8i 0.549966 + 0.952569i
\(656\) −6.71346e8 3.87602e8i −2.37813 1.37301i
\(657\) 2.06728e8 + 5.47539e6i 0.728960 + 0.0193072i
\(658\) −1.77232e8 5.60305e8i −0.622105 1.96674i
\(659\) 3.80251e7i 0.132866i −0.997791 0.0664330i \(-0.978838\pi\)
0.997791 0.0664330i \(-0.0211619\pi\)
\(660\) 3.12613e8 + 1.86049e8i 1.08737 + 0.647135i
\(661\) 4.26336e7 + 7.38435e7i 0.147621 + 0.255687i 0.930348 0.366679i \(-0.119505\pi\)
−0.782727 + 0.622365i \(0.786172\pi\)
\(662\) 5.19555e8 2.99965e8i 1.79084 1.03394i
\(663\) 4.34268e7 7.29690e7i 0.149011 0.250379i
\(664\) 3.81417e8 1.30285
\(665\) −2.20396e8 + 6.97142e7i −0.749444 + 0.237059i
\(666\) −2.10827e7 + 7.95994e8i −0.0713679 + 2.69456i
\(667\) −6.31090e7 + 1.09308e8i −0.212674 + 0.368362i
\(668\) 4.92335e8 2.84250e8i 1.65170 0.953610i
\(669\) −2.93844e8 + 1.64503e8i −0.981384 + 0.549408i
\(670\) −2.25913e8 + 3.91292e8i −0.751132 + 1.30100i
\(671\) 4.17396e7i 0.138160i
\(672\) 6.30133e8 6.70889e8i 2.07647 2.21077i
\(673\) −4.10685e8 −1.34730 −0.673649 0.739052i \(-0.735274\pi\)
−0.673649 + 0.739052i \(0.735274\pi\)
\(674\) −1.14970e8 6.63777e7i −0.375494 0.216792i
\(675\) 1.15404e8 6.06506e7i 0.375240 0.197208i
\(676\) −2.93983e8 5.09193e8i −0.951659 1.64832i
\(677\) 1.21840e8 + 7.03444e7i 0.392667 + 0.226706i 0.683315 0.730124i \(-0.260538\pi\)
−0.290648 + 0.956830i \(0.593871\pi\)
\(678\) 1.14328e7 8.63463e8i 0.0366829 2.77048i
\(679\) −5.51931e8 1.21826e8i −1.76309 0.389164i
\(680\) 4.08912e8i 1.30048i
\(681\) −1.38032e8 + 2.31933e8i −0.437059 + 0.734379i
\(682\) −5.50352e7 9.53237e7i −0.173495 0.300502i
\(683\) 4.97482e8 2.87222e8i 1.56140 0.901478i 0.564290 0.825577i \(-0.309150\pi\)
0.997115 0.0759006i \(-0.0241832\pi\)
\(684\) 4.52387e8 7.37732e8i 1.41365 2.30531i
\(685\) 3.33287e7 0.103692
\(686\) 2.36335e8 + 5.66129e8i 0.732075 + 1.75365i
\(687\) −7.13634e6 + 5.38972e8i −0.0220093 + 1.66225i
\(688\) 2.48068e8 4.29667e8i 0.761738 1.31937i
\(689\) 2.00413e8 1.15709e8i 0.612730 0.353760i
\(690\) −1.05776e8 1.88943e8i −0.321988 0.575154i
\(691\) −2.89223e7 + 5.00949e7i −0.0876595 + 0.151831i −0.906521 0.422160i \(-0.861272\pi\)
0.818862 + 0.573991i \(0.194605\pi\)
\(692\) 7.29675e8i 2.20197i
\(693\) 5.12760e7 2.06203e8i 0.154069 0.619577i
\(694\) −1.46245e8 −0.437523
\(695\) 2.66913e7 + 1.54102e7i 0.0795089 + 0.0459045i
\(696\) −8.38389e8 + 4.69355e8i −2.48667 + 1.39211i
\(697\) −8.11162e7 1.40497e8i −0.239557 0.414925i
\(698\) −1.03213e9 5.95903e8i −3.03508 1.75230i
\(699\) 6.08995e7 + 806349.i 0.178313 + 0.00236098i
\(700\) 2.56244e8 2.80159e8i 0.747067 0.816791i
\(701\) 4.13267e8i 1.19971i −0.800108 0.599855i \(-0.795225\pi\)
0.800108 0.599855i \(-0.204775\pi\)
\(702\) −1.82786e8 + 2.89409e8i −0.528361 + 0.836567i
\(703\) 2.55181e8 + 4.41986e8i 0.734483 + 1.27216i
\(704\) −4.93181e8 + 2.84738e8i −1.41348 + 0.816071i
\(705\) −2.48085e8 1.47645e8i −0.708000 0.421359i
\(706\) 9.54588e8 2.71270
\(707\) −6.92251e6 + 2.18968e6i −0.0195887 + 0.00619615i
\(708\) −7.82319e8 1.03584e7i −2.20437 0.0291873i
\(709\) 2.03929e8 3.53215e8i 0.572189 0.991060i −0.424152 0.905591i \(-0.639428\pi\)
0.996341 0.0854692i \(-0.0272389\pi\)
\(710\) −1.25797e8 + 7.26288e7i −0.351475 + 0.202924i
\(711\) 1.29426e8 + 2.38544e8i 0.360093 + 0.663683i
\(712\) −8.05578e8 + 1.39530e9i −2.23186 + 3.86570i
\(713\) 4.73745e7i 0.130700i
\(714\) 3.70565e8 1.11839e8i 1.01805 0.307256i
\(715\) −9.22264e7 −0.252312
\(716\) 8.12414e8 + 4.69048e8i 2.21329 + 1.27784i
\(717\) −2.68027e8 4.78765e8i −0.727145 1.29887i
\(718\) 5.17407e8 + 8.96176e8i 1.39785 + 2.42114i
\(719\) 1.40812e8 + 8.12980e7i 0.378838 + 0.218722i 0.677313 0.735695i \(-0.263144\pi\)
−0.298475 + 0.954418i \(0.596478\pi\)
\(720\) 2.40572e7 9.08300e8i 0.0644536 2.43350i
\(721\) −3.85632e8 + 4.21623e8i −1.02889 + 1.12491i
\(722\) 5.18563e7i 0.137781i
\(723\) 1.92617e8 + 1.14634e8i 0.509659 + 0.303319i
\(724\) −2.12680e8 3.68373e8i −0.560418 0.970672i
\(725\) −1.30211e8 + 7.51773e7i −0.341691 + 0.197275i
\(726\) 2.20304e8 3.70171e8i 0.575721 0.967370i
\(727\) −6.16984e8 −1.60572 −0.802861 0.596166i \(-0.796690\pi\)
−0.802861 + 0.596166i \(0.796690\pi\)
\(728\) −1.32578e8 + 6.00641e8i −0.343619 + 1.55676i
\(729\) −3.86199e8 3.07440e7i −0.996846 0.0793557i
\(730\) 2.04583e8 3.54348e8i 0.525896 0.910879i
\(731\) 8.99194e7 5.19150e7i 0.230198 0.132905i
\(732\) −1.93390e8 + 1.08266e8i −0.493062 + 0.276031i
\(733\) 2.32660e7 4.02978e7i 0.0590757 0.102322i −0.834975 0.550288i \(-0.814518\pi\)
0.894051 + 0.447966i \(0.147851\pi\)
\(734\) 7.04142e8i 1.78062i
\(735\) 2.71670e8 + 1.30471e8i 0.684196 + 0.328589i
\(736\) 5.52609e8 1.38607
\(737\) −2.30531e8 1.33097e8i −0.575873 0.332481i
\(738\) 3.11879e8 + 5.74821e8i 0.775921 + 1.43009i
\(739\) 2.69977e8 + 4.67613e8i 0.668949 + 1.15865i 0.978198 + 0.207672i \(0.0665887\pi\)
−0.309250 + 0.950981i \(0.600078\pi\)
\(740\) 9.86574e8 + 5.69599e8i 2.43464 + 1.40564i
\(741\) −2.90463e6 + 2.19373e8i −0.00713899 + 0.539172i
\(742\) 1.03010e9 + 2.27372e8i 2.52156 + 0.556578i
\(743\) 3.31530e8i 0.808269i 0.914700 + 0.404135i \(0.132427\pi\)
−0.914700 + 0.404135i \(0.867573\pi\)
\(744\) −1.84437e8 + 3.09905e8i −0.447847 + 0.752506i
\(745\) −4.62393e7 8.00888e7i −0.111826 0.193688i
\(746\) −5.67990e8 + 3.27929e8i −1.36812 + 0.789885i
\(747\) −1.51202e8 9.27194e7i −0.362741 0.222438i
\(748\) −3.90432e8 −0.932912
\(749\) −2.63366e8 2.40884e8i −0.626778 0.573274i
\(750\) 1.14712e7 8.66366e8i 0.0271911 2.05361i
\(751\) 1.26938e8 2.19864e8i 0.299690 0.519079i −0.676375 0.736558i \(-0.736450\pi\)
0.976065 + 0.217479i \(0.0697833\pi\)
\(752\) 1.28218e9 7.40264e8i 3.01505 1.74074i
\(753\) −1.26756e8 2.26418e8i −0.296881 0.530305i
\(754\) 1.97384e8 3.41879e8i 0.460466 0.797550i
\(755\) 2.02285e8i 0.470028i
\(756\) −1.08839e9 + 2.97282e8i −2.51895 + 0.688024i
\(757\) 3.97326e8 0.915925 0.457962 0.888972i \(-0.348579\pi\)
0.457962 + 0.888972i \(0.348579\pi\)
\(758\) −4.65208e8 2.68588e8i −1.06817 0.616707i
\(759\) 1.11316e8 6.23183e7i 0.254586 0.142525i
\(760\) −5.28252e8 9.14960e8i −1.20337 2.08430i
\(761\) 2.56758e8 + 1.48239e8i 0.582600 + 0.336364i 0.762166 0.647382i \(-0.224136\pi\)
−0.179566 + 0.983746i \(0.557469\pi\)
\(762\) −9.52443e8 1.26110e7i −2.15265 0.0285025i
\(763\) −1.65899e8 5.24477e8i −0.373482 1.18074i
\(764\) 9.16585e8i 2.05538i
\(765\) 9.94032e7 1.62102e8i 0.222032 0.362080i
\(766\)