Properties

Label 21.7.h.a.11.1
Level $21$
Weight $7$
Character 21.11
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 11.1
Character \(\chi\) \(=\) 21.11
Dual form 21.7.h.a.2.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.1658 + 7.60129i) q^{2} +(23.2019 + 13.8084i) q^{3} +(83.5593 - 144.729i) q^{4} +(82.1651 - 47.4381i) q^{5} +(-410.434 - 5.43441i) q^{6} +(334.938 - 73.9300i) q^{7} +1567.67i q^{8} +(347.657 + 640.762i) q^{9} +O(q^{10})\) \(q+(-13.1658 + 7.60129i) q^{2} +(23.2019 + 13.8084i) 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} +(347.657 + 640.762i) q^{9} +(-721.181 + 1249.12i) q^{10} +(-735.924 - 424.886i) q^{11} +(3937.21 - 2204.17i) 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} +(-9447.80 - 5793.52i) q^{18} +(3551.65 + 6151.64i) q^{19} -15855.6i q^{20} +(8792.05 + 2909.64i) q^{21} +12918.7 q^{22} +(4815.31 - 2780.12i) q^{23} +(-21647.0 + 36372.9i) 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} +(-33981.1 + 19023.7i) q^{30} +(-4260.11 + 7378.73i) q^{31} +(86070.7 + 49692.9i) q^{32} +(-11207.8 - 20020.1i) 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} +(26541.2 + 15795.7i) q^{39} +(74367.1 + 128808. i) q^{40} +59009.1i q^{41} +(-137872. + 28523.2i) q^{42} -37766.3 q^{43} +(-122987. + 71006.3i) q^{44} +(58961.8 + 36156.1i) 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} +(36260.9 + 64771.2i) q^{51} +(95585.3 - 165559. i) q^{52} +(-175198. - 101151. i) q^{53} +(-139208. - 264880. 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} +(218940. - 367879. i) q^{60} +(24559.3 + 42538.0i) q^{61} -129529. i q^{62} +(163815. + 188913. i) q^{63} -670153. q^{64} +(93990.5 - 54265.4i) q^{65} +(299739. + 178387. 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} +(-1.00450e6 + 545010. i) q^{72} +(141839. - 245672. i) q^{73} +(945944. + 546141. i) q^{74} +(-156046. + 87359.2i) 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} +(-289711. + 445530. i) q^{81} +(-448545. - 776903. i) q^{82} -243302. i q^{83} +(1.15577e6 - 1.02934e6i) q^{84} +260841. q^{85} +(497224. - 287073. i) q^{86} +(313452. - 526686. 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} +(-200731. + 112375. i) q^{93} +(-856658. + 1.48377e6i) q^{94} +(583644. + 336967. i) q^{95} +(1.31082e6 + 2.34147e6i) q^{96} -1.64786e6 q^{97} +(-1.02858e6 + 1.46322e6i) q^{98} +(16401.9 - 619266. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} + O(q^{10}) \) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} - 930 q^{10} - 404 q^{12} + 3632 q^{13} + 5450 q^{15} - 13706 q^{16} + 1612 q^{18} + 6830 q^{19} - 11333 q^{21} - 27348 q^{22} - 54498 q^{24} - 7640 q^{25} + 13268 q^{27} + 88522 q^{28} + 32380 q^{30} + 69410 q^{31} - 85459 q^{33} - 31344 q^{34} + 399028 q^{36} - 71830 q^{37} + 104570 q^{39} + 230250 q^{40} - 467782 q^{42} - 498904 q^{43} - 85375 q^{45} - 342660 q^{46} - 324728 q^{48} + 395668 q^{49} + 42177 q^{51} + 218000 q^{52} - 402122 q^{54} + 231660 q^{55} + 786782 q^{57} + 459522 q^{58} + 1021150 q^{60} + 153158 q^{61} + 179011 q^{63} - 1399412 q^{64} + 80896 q^{66} - 977098 q^{67} - 1520742 q^{69} - 139650 q^{70} - 1001352 q^{72} - 488350 q^{73} + 1434610 q^{75} + 6196280 q^{76} + 245176 q^{78} + 380762 q^{79} + 893531 q^{81} - 3665004 q^{82} + 1231496 q^{84} - 912540 q^{85} + 1452416 q^{87} - 1522482 q^{88} - 11713820 q^{90} - 1529416 q^{91} - 1690071 q^{93} - 3034044 q^{94} + 7549346 q^{96} + 7212176 q^{97} + 435866 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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 −0.666985 + 0.745071i \(0.732415\pi\)
−0.978743 + 0.205090i \(0.934251\pi\)
\(3\) 23.2019 + 13.8084i 0.859330 + 0.511422i
\(4\) 83.5593 144.729i 1.30561 2.26139i
\(5\) 82.1651 47.4381i 0.657321 0.379505i −0.133934 0.990990i \(-0.542761\pi\)
0.791255 + 0.611486i \(0.209428\pi\)
\(6\) −410.434 5.43441i −1.90016 0.0251593i
\(7\) 334.938 73.9300i 0.976495 0.215539i
\(8\) 1567.67i 3.06185i
\(9\) 347.657 + 640.762i 0.476895 + 0.878960i
\(10\) −721.181 + 1249.12i −0.721181 + 1.24912i
\(11\) −735.924 424.886i −0.552910 0.319223i 0.197385 0.980326i \(-0.436755\pi\)
−0.750295 + 0.661103i \(0.770089\pi\)
\(12\) 3937.21 2204.17i 2.27848 1.27556i
\(13\) 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 \(-0.243066\pi\)
−0.237719 + 0.971334i \(0.576400\pi\)
\(18\) −9447.80 5793.52i −1.61999 0.993402i
\(19\) 3551.65 + 6151.64i 0.517809 + 0.896871i 0.999786 + 0.0206875i \(0.00658549\pi\)
−0.481977 + 0.876184i \(0.660081\pi\)
\(20\) 15855.6i 1.98194i
\(21\) 8792.05 + 2909.64i 0.949363 + 0.314182i
\(22\) 12918.7 1.21325
\(23\) 4815.31 2780.12i 0.395768 0.228497i −0.288888 0.957363i \(-0.593286\pi\)
0.684656 + 0.728866i \(0.259952\pi\)
\(24\) −21647.0 + 36372.9i −1.56590 + 2.63114i
\(25\) −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 \(-0.154081\pi\)
\(30\) −33981.1 + 19023.7i −1.25856 + 0.704580i
\(31\) −4260.11 + 7378.73i −0.143000 + 0.247683i −0.928625 0.371020i \(-0.879008\pi\)
0.785625 + 0.618703i \(0.212342\pi\)
\(32\) 86070.7 + 49692.9i 2.62667 + 1.51651i
\(33\) −11207.8 20020.1i −0.311875 0.557088i
\(34\) −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 −0.965146 0.261712i \(-0.915713\pi\)
0.255924 0.966697i \(-0.417620\pi\)
\(38\) −93520.8 53994.3i −1.70435 0.984004i
\(39\) 26541.2 + 15795.7i 0.447431 + 0.266284i
\(40\) 74367.1 + 128808.i 1.16199 + 2.01262i
\(41\) 59009.1i 0.856184i 0.903735 + 0.428092i \(0.140814\pi\)
−0.903735 + 0.428092i \(0.859186\pi\)
\(42\) −137872. + 28523.2i −1.86092 + 0.384991i
\(43\) −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
\(45\) 58961.8 + 36156.1i 0.647043 + 0.396775i
\(46\) −42265.0 + 73205.1i −0.434218 + 0.752087i
\(47\) 97600.2 56349.5i 0.940063 0.542746i 0.0500830 0.998745i \(-0.484051\pi\)
0.889980 + 0.455999i \(0.150718\pi\)
\(48\) 4696.04 354668.i 0.0424627 3.20700i
\(49\) 106718. 49523.9i 0.907086 0.420946i
\(50\) 100695.i 0.805557i
\(51\) 36260.9 + 64771.2i 0.273355 + 0.488283i
\(52\) 95585.3 165559.i 0.679800 1.17745i
\(53\) −175198. 101151.i −1.17680 0.679426i −0.221528 0.975154i \(-0.571104\pi\)
−0.955272 + 0.295728i \(0.904438\pi\)
\(54\) −139208. 264880.i −0.884062 1.68216i
\(55\) −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 \(-0.472051\pi\)
−0.818844 + 0.574017i \(0.805385\pi\)
\(60\) 218940. 367879.i 1.01361 1.70314i
\(61\) 24559.3 + 42538.0i 0.108200 + 0.187408i 0.915041 0.403361i \(-0.132158\pi\)
−0.806841 + 0.590768i \(0.798825\pi\)
\(62\) 129529.i 0.543492i
\(63\) 163815. + 188913.i 0.655136 + 0.755511i
\(64\) −670153. −2.55643
\(65\) 93990.5 54265.4i 0.342250 0.197598i
\(66\) 299739. + 178387.i 1.04258 + 0.620484i
\(67\) −156627. + 271286.i −0.520765 + 0.901992i 0.478943 + 0.877846i \(0.341020\pi\)
−0.999708 + 0.0241460i \(0.992313\pi\)
\(68\) 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 \(-0.0449317\pi\)
\(72\) −1.00450e6 + 545010.i −2.69125 + 1.46018i
\(73\) 141839. 245672.i 0.364608 0.631519i −0.624105 0.781340i \(-0.714536\pi\)
0.988713 + 0.149821i \(0.0478697\pi\)
\(74\) 945944. + 546141.i 2.33437 + 1.34775i
\(75\) −156046. + 87359.2i −0.369887 + 0.207074i
\(76\) 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 0.613165 0.789955i \(-0.289896\pi\)
−0.990703 + 0.136039i \(0.956563\pi\)
\(80\) −1.07941e6 623195.i −2.10821 1.21718i
\(81\) −289711. + 445530.i −0.545142 + 0.838344i
\(82\) −448545. 776903.i −0.813513 1.40905i
\(83\) 243302.i 0.425511i −0.977105 0.212756i \(-0.931756\pi\)
0.977105 0.212756i \(-0.0682438\pi\)
\(84\) 1.15577e6 1.02934e6i 1.94999 1.73668i
\(85\) 260841. 0.424736
\(86\) 497224. 287073.i 0.781730 0.451332i
\(87\) 313452. 526686.i 0.476007 0.799823i
\(88\) 666080. 1.15368e6i 0.977414 1.69293i
\(89\) −890049. + 513870.i −1.26254 + 0.728926i −0.973565 0.228412i \(-0.926647\pi\)
−0.288972 + 0.957338i \(0.593313\pi\)
\(90\) −1.05111e6 27839.7i −1.44186 0.0381889i
\(91\) 383143. 84570.1i 0.508436 0.112226i
\(92\) 929219.i 1.19331i
\(93\) −200731. + 112375.i −0.249555 + 0.139708i
\(94\) −856658. + 1.48377e6i −1.03139 + 1.78642i
\(95\) 583644. + 336967.i 0.680733 + 0.393022i
\(96\) 1.31082e6 + 2.34147e6i 1.48160 + 2.64652i
\(97\) −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 \(-0.330063\pi\)
−0.491077 + 0.871116i \(0.663397\pi\)
\(102\) −969749. 577137.i −0.913816 0.543849i
\(103\) −832919. 1.44266e6i −0.762239 1.32024i −0.941694 0.336470i \(-0.890767\pi\)
0.179455 0.983766i \(-0.442567\pi\)
\(104\) 1.79329e6i 1.59423i
\(105\) 860427. 178007.i 0.743270 0.153769i
\(106\) 3.07551e6 2.58226
\(107\) 901153. 520281.i 0.735609 0.424704i −0.0848615 0.996393i \(-0.527045\pi\)
0.820471 + 0.571689i \(0.193711\pi\)
\(108\) 2.78114e6 + 1.75652e6i 2.20776 + 1.39438i
\(109\) −801880. + 1.38890e6i −0.619199 + 1.07248i 0.370434 + 0.928859i \(0.379209\pi\)
−0.989632 + 0.143625i \(0.954124\pi\)
\(110\) 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 \(0.739979\pi\)
\(114\) −1.42429e6 2.54414e6i −0.961353 1.71722i
\(115\) 263767. 456858.i 0.173431 0.300391i
\(116\) −3.28536e6 1.89680e6i −2.10479 1.21520i
\(117\) 397692. + 732981.i 0.248307 + 0.457652i
\(118\) 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
\(123\) −814820. + 1.36912e6i −0.437871 + 0.735745i
\(124\) 711943. + 1.23312e6i 0.373405 + 0.646757i
\(125\) 2.11085e6i 1.08076i
\(126\) −3.59274e6 1.24199e6i −1.79603 0.620879i
\(127\) 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
\(129\) −876250. 521492.i −0.408187 0.242928i
\(130\) −824975. + 1.42890e6i −0.375501 + 0.650386i
\(131\) 2.82139e6 1.62893e6i 1.25502 0.724585i 0.282916 0.959145i \(-0.408698\pi\)
0.972102 + 0.234560i \(0.0753650\pi\)
\(132\) −3.83400e6 50764.7i −1.66698 0.0220719i
\(133\) 1.64437e6 + 1.79784e6i 0.698949 + 0.764182i
\(134\) 4.76227e6i 1.97924i
\(135\) 868767. + 1.65306e6i 0.353103 + 0.671872i
\(136\) −2.15498e6 + 3.73253e6i −0.856694 + 1.48384i
\(137\) 304223. + 175643.i 0.118312 + 0.0683077i 0.557988 0.829849i \(-0.311573\pi\)
−0.439676 + 0.898156i \(0.644907\pi\)
\(138\) −1.99147e6 + 1.11489e6i −0.757770 + 0.424222i
\(139\) −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
\(144\) 5.00636e6 8.16414e6i 1.67662 2.73415i
\(145\) −1.07685e6 1.86516e6i −0.353224 0.611803i
\(146\) 4.31263e6i 1.38575i
\(147\) 3.15990e6 + 324551.i 0.994767 + 0.102172i
\(148\) −1.20072e7 −3.70388
\(149\) −844141. + 487365.i −0.255186 + 0.147331i −0.622136 0.782909i \(-0.713735\pi\)
0.366951 + 0.930240i \(0.380402\pi\)
\(150\) 1.39043e6 2.33631e6i 0.411980 0.692239i
\(151\) −1.06605e6 + 1.84645e6i −0.309633 + 0.536299i −0.978282 0.207278i \(-0.933539\pi\)
0.668649 + 0.743578i \(0.266873\pi\)
\(152\) −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
\(156\) 4.50386e6 2.52139e6i 1.18634 0.664151i
\(157\) 1.84492e6 3.19549e6i 0.476736 0.825731i −0.522909 0.852389i \(-0.675153\pi\)
0.999645 + 0.0266577i \(0.00848640\pi\)
\(158\) 4.90140e6 + 2.82983e6i 1.24265 + 0.717445i
\(159\) −2.66821e6 4.76610e6i −0.663786 1.18569i
\(160\) 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 0.852631 0.522514i \(-0.175006\pi\)
−0.878826 + 0.477143i \(0.841672\pi\)
\(164\) 8.54032e6 + 4.93076e6i 1.93617 + 1.11785i
\(165\) −1.87061e6 1.11327e6i −0.416419 0.247828i
\(166\) 1.84941e6 + 3.20327e6i 0.404304 + 0.700276i
\(167\) 3.40177e6i 0.730392i −0.930931 0.365196i \(-0.881002\pi\)
0.930931 0.365196i \(-0.118998\pi\)
\(168\) −4.56134e6 + 1.37830e7i −0.961978 + 2.90681i
\(169\) −3.51825e6 −0.728898
\(170\) −3.43418e6 + 1.98273e6i −0.698999 + 0.403567i
\(171\) −2.70698e6 + 4.41442e6i −0.541373 + 0.882847i
\(172\) −3.15572e6 + 5.46587e6i −0.620174 + 1.07417i
\(173\) −3.78125e6 + 2.18310e6i −0.730293 + 0.421635i −0.818529 0.574465i \(-0.805210\pi\)
0.0882366 + 0.996100i \(0.471877\pi\)
\(174\) −123362. + 9.31689e6i −0.0234171 + 1.76857i
\(175\) −685161. + 2.16609e6i −0.127843 + 0.404168i
\(176\) 1.11635e7i 2.04768i
\(177\) −2.28693e6 4.08505e6i −0.412414 0.736677i
\(178\) 7.81215e6 1.35310e7i 1.38519 2.39923i
\(179\) −4.86130e6 2.80668e6i −0.847605 0.489365i 0.0122367 0.999925i \(-0.496105\pi\)
−0.859842 + 0.510560i \(0.829438\pi\)
\(180\) 1.01596e7 5.51229e6i 1.74205 0.945180i
\(181\) −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
\(186\) 1.78859e6 3.00533e6i 0.277954 0.467039i
\(187\) −1.16813e6 2.02326e6i −0.178635 0.309404i
\(188\) 1.88341e7i 2.83446i
\(189\) 1.19223e6 + 6.64517e6i 0.176594 + 0.984284i
\(190\) −1.02455e7 −1.49374
\(191\) 4.74984e6 2.74232e6i 0.681677 0.393566i −0.118810 0.992917i \(-0.537908\pi\)
0.800487 + 0.599351i \(0.204574\pi\)
\(192\) −1.55488e7 9.25373e6i −2.19682 1.30741i
\(193\) 2.64818e6 4.58678e6i 0.368362 0.638022i −0.620948 0.783852i \(-0.713252\pi\)
0.989310 + 0.145830i \(0.0465853\pi\)
\(194\) 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 \(0.853869\pi\)
\(198\) 4.49128e6 + 8.27783e6i 0.578595 + 1.06640i
\(199\) −3.18804e6 + 5.52185e6i −0.404543 + 0.700689i −0.994268 0.106915i \(-0.965903\pi\)
0.589725 + 0.807604i \(0.299236\pi\)
\(200\) −8.99236e6 5.19174e6i −1.12405 0.648968i
\(201\) −7.38006e6 + 4.13158e6i −0.908808 + 0.508778i
\(202\) −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
\(207\) 3.45547e6 + 2.11894e6i 0.389579 + 0.238895i
\(208\) −7.51386e6 1.30144e7i −0.834974 1.44622i
\(209\) 6.03618e6i 0.661186i
\(210\) −9.97515e6 + 8.88397e6i −1.07711 + 0.959289i
\(211\) 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
\(213\) 1.39062e6 2.33662e6i 0.143903 0.241796i
\(214\) −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
\(219\) 6.68326e6 3.74149e6i 0.636291 0.356215i
\(220\) −6.73680e6 + 1.16685e7i −0.632682 + 1.09584i
\(221\) 2.72361e6 + 1.57248e6i 0.252330 + 0.145683i
\(222\) 1.44064e7 + 2.57335e7i 1.31673 + 2.35201i
\(223\) 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 \(-0.473868\pi\)
−0.822106 + 0.569334i \(0.807201\pi\)
\(228\) 2.75428e7 + 1.63919e7i 2.32383 + 1.38300i
\(229\) 9.98184e6 + 1.72891e7i 0.831197 + 1.43968i 0.897089 + 0.441849i \(0.145677\pi\)
−0.0658921 + 0.997827i \(0.520989\pi\)
\(230\) 8.01988e6i 0.659150i
\(231\) −5.23402e6 5.87689e6i −0.424619 0.476773i
\(232\) 3.55862e7 2.84982
\(233\) 1.95352e6 1.12787e6i 0.154437 0.0891642i −0.420790 0.907158i \(-0.638247\pi\)
0.575227 + 0.817994i \(0.304914\pi\)
\(234\) −1.08075e7 6.62733e6i −0.843489 0.517239i
\(235\) 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 \(0.732794\pi\)
\(240\) −1.64389e7 2.93642e7i −1.18916 2.12414i
\(241\) −4.15089e6 + 7.18955e6i −0.296544 + 0.513630i −0.975343 0.220694i \(-0.929168\pi\)
0.678799 + 0.734325i \(0.262501\pi\)
\(242\) 1.38169e7 + 7.97717e6i 0.974907 + 0.562863i
\(243\) −1.28739e7 + 6.33671e6i −0.897204 + 0.441616i
\(244\) 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
\(249\) 3.35961e6 5.64507e6i 0.217616 0.365655i
\(250\) −1.60452e7 2.77911e7i −1.02689 1.77863i
\(251\) 9.61053e6i 0.607751i 0.952712 + 0.303876i \(0.0982808\pi\)
−0.952712 + 0.303876i \(0.901719\pi\)
\(252\) 4.10294e7 7.92331e6i 2.56386 0.495113i
\(253\) −4.72493e6 −0.291766
\(254\) −3.05523e7 + 1.76394e7i −1.86442 + 1.07642i
\(255\) 6.05200e6 + 3.60179e6i 0.364988 + 0.217219i
\(256\) −7.64798e6 + 1.32467e7i −0.455855 + 0.789564i
\(257\) 2.16590e7 1.25048e7i 1.27597 0.736680i 0.299863 0.953982i \(-0.403059\pi\)
0.976104 + 0.217302i \(0.0697258\pi\)
\(258\) 1.55006e7 + 205237.i 0.902585 + 0.0119508i
\(259\) −1.66325e7 1.81848e7i −0.957322 1.04667i
\(260\) 1.81375e7i 1.03195i
\(261\) 1.45454e7 7.89184e6i 0.818094 0.443871i
\(262\) −2.47640e7 + 4.28925e7i −1.37694 + 2.38494i
\(263\) 9.79370e6 + 5.65439e6i 0.538368 + 0.310827i 0.744417 0.667715i \(-0.232727\pi\)
−0.206049 + 0.978542i \(0.566061\pi\)
\(264\) 3.13849e7 1.75702e7i 1.70572 0.954914i
\(265\) −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 \(-0.384329\pi\)
−0.631747 + 0.775175i \(0.717662\pi\)
\(270\) −2.40034e7 1.51601e7i −1.21950 0.770214i
\(271\) 3.35826e6 + 5.81667e6i 0.168735 + 0.292258i 0.937975 0.346702i \(-0.112698\pi\)
−0.769240 + 0.638960i \(0.779365\pi\)
\(272\) 3.61173e7i 1.79477i
\(273\) 1.00574e7 + 3.32840e6i 0.494309 + 0.163586i
\(274\) −5.34046e6 −0.259613
\(275\) 4.87441e6 2.81424e6i 0.234382 0.135320i
\(276\) 1.28310e7 2.15596e7i 0.610287 1.02545i
\(277\) 7.91270e6 1.37052e7i 0.372293 0.644831i −0.617625 0.786473i \(-0.711905\pi\)
0.989918 + 0.141642i \(0.0452382\pi\)
\(278\) 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 \(0.753168\pi\)
\(282\) −4.03646e7 + 2.25973e7i −1.79992 + 1.00765i
\(283\) 7.49497e6 1.29817e7i 0.330682 0.572758i −0.651964 0.758250i \(-0.726055\pi\)
0.982646 + 0.185492i \(0.0593879\pi\)
\(284\) −1.45754e7 8.41510e6i −0.636304 0.367370i
\(285\) 8.88868e6 + 1.58775e7i 0.383975 + 0.685877i
\(286\) 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
\(291\) −3.82335e7 2.27543e7i −1.55155 0.923389i
\(292\) −2.37039e7 4.10563e7i −0.952074 1.64904i
\(293\) 9.12000e6i 0.362570i −0.983431 0.181285i \(-0.941974\pi\)
0.983431 0.181285i \(-0.0580257\pi\)
\(294\) −4.40697e7 + 1.97463e7i −1.73420 + 0.777042i
\(295\) −1.64509e7 −0.640803
\(296\) 9.75444e7 5.63173e7i 3.76121 2.17153i
\(297\) 8.93163e6 1.41417e7i 0.340927 0.539798i
\(298\) 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
\(303\) 279188. + 498701.i 0.0100362 + 0.0179272i
\(304\) 4.66581e7 8.08142e7i 1.66076 2.87652i
\(305\) 4.03584e6 + 2.33009e6i 0.142244 + 0.0821247i
\(306\) −1.45307e7 2.67814e7i −0.507133 0.934692i
\(307\) 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 \(-0.455892\pi\)
−0.788660 + 0.614829i \(0.789225\pi\)
\(312\) −2.47624e7 + 4.16077e7i −0.815323 + 1.36997i
\(313\) 2.08240e7 + 3.60682e7i 0.679096 + 1.17623i 0.975253 + 0.221090i \(0.0709615\pi\)
−0.296157 + 0.955139i \(0.595705\pi\)
\(314\) 5.60950e7i 1.81191i
\(315\) 2.24215e7 + 7.75101e6i 0.717355 + 0.247986i
\(316\) −6.22153e7 −1.97168
\(317\) −1.33924e7 + 7.73209e6i −0.420417 + 0.242728i −0.695256 0.718763i \(-0.744709\pi\)
0.274839 + 0.961490i \(0.411375\pi\)
\(318\) 7.13577e7 + 4.24678e7i 2.21901 + 1.32062i
\(319\) −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
\(324\) 4.02731e7 + 7.91577e7i 1.18408 + 2.32733i
\(325\) −3.78839e6 + 6.56169e6i −0.110358 + 0.191146i
\(326\) 2.98714e6 + 1.72462e6i 0.0862188 + 0.0497785i
\(327\) −3.77836e7 + 2.11524e7i −1.08059 + 0.604945i
\(328\) −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 0.998664 + 0.0516811i \(0.0164579\pi\)
−0.454575 + 0.890709i \(0.650209\pi\)
\(332\) −3.52128e7 2.03301e7i −0.962247 0.555553i
\(333\) 2.73806e7 4.46510e7i 0.741498 1.20920i
\(334\) 2.58579e7 + 4.47871e7i 0.693990 + 1.20203i
\(335\) 2.97203e7i 0.790531i
\(336\) −2.46478e7 1.19139e8i −0.649770 3.14077i
\(337\) −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
\(339\) −2.90498e7 + 4.88117e7i −0.745666 + 1.25292i
\(340\) 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
\(345\) 1.24284e7 6.95777e6i 0.302661 0.169439i
\(346\) 3.31888e7 5.74847e7i 0.801242 1.38779i
\(347\) 8.33092e6 + 4.80986e6i 0.199390 + 0.115118i 0.596371 0.802709i \(-0.296609\pi\)
−0.396981 + 0.917827i \(0.629942\pi\)
\(348\) −5.00348e7 8.93750e7i −1.18723 2.12070i
\(349\) −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 \(-0.586337\pi\)
−0.968325 + 0.249694i \(0.919670\pi\)
\(354\) 6.11610e7 + 3.63994e7i 1.37868 + 0.820511i
\(355\) −4.77740e6 8.27470e6i −0.106784 0.184955i
\(356\) 1.71754e8i 3.80678i
\(357\) 1.69337e7 + 1.90136e7i 0.372175 + 0.417887i
\(358\) 8.53374e7 1.85990
\(359\) −5.89489e7 + 3.40342e7i −1.27407 + 0.735583i −0.975751 0.218884i \(-0.929758\pi\)
−0.298316 + 0.954467i \(0.596425\pi\)
\(360\) −5.66808e7 + 9.24325e7i −1.21487 + 1.98115i
\(361\) −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
\(366\) −9.84880e6 1.75925e7i −0.200882 0.358826i
\(367\) 2.31586e7 4.01119e7i 0.468505 0.811475i −0.530847 0.847468i \(-0.678126\pi\)
0.999352 + 0.0359928i \(0.0114593\pi\)
\(368\) −6.32588e7 3.65225e7i −1.26934 0.732853i
\(369\) −3.78108e7 + 2.05149e7i −0.752552 + 0.408310i
\(370\) 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 0.579839 0.814731i \(-0.303115\pi\)
−0.995497 + 0.0947900i \(0.969782\pi\)
\(374\) 3.07588e7 + 1.77586e7i 0.587968 + 0.339464i
\(375\) −2.91475e7 + 4.89758e7i −0.552723 + 0.928727i
\(376\) 8.83373e7 + 1.53005e8i 1.66181 + 2.87833i
\(377\) 2.59671e7i 0.484619i
\(378\) −6.62085e7 7.84266e7i −1.22585 1.45207i
\(379\) −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
\(381\) 5.38418e7 + 3.20434e7i 0.973519 + 0.579381i
\(382\) −4.16904e7 + 7.22098e7i −0.747903 + 1.29541i
\(383\) 6.95848e7 4.01748e7i 1.23856 0.715085i 0.269763 0.962927i \(-0.413055\pi\)
0.968801 + 0.247842i \(0.0797213\pi\)
\(384\) 1.03330e8 + 1.36815e6i 1.82487 + 0.0241624i
\(385\) −2.70037e7 + 5.96046e6i −0.473196 + 0.104447i
\(386\) 8.05182e7i 1.40001i
\(387\) −1.31297e7 2.41992e7i −0.226528 0.417511i
\(388\) −1.37694e8 + 2.38493e8i −2.35733 + 4.08301i
\(389\) 2.83908e7 + 1.63914e7i 0.482313 + 0.278464i 0.721380 0.692539i \(-0.243508\pi\)
−0.239067 + 0.971003i \(0.576841\pi\)
\(390\) −3.88718e7 + 2.17616e7i −0.655300 + 0.366857i
\(391\) 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
\(396\) −8.82552e7 5.41193e7i −1.42120 0.871498i
\(397\) −5.28094e7 9.14686e7i −0.843995 1.46184i −0.886491 0.462745i \(-0.846865\pi\)
0.0424967 0.999097i \(-0.486469\pi\)
\(398\) 9.69330e7i 1.53753i
\(399\) 1.33273e7 + 6.44195e7i 0.209808 + 1.01414i
\(400\) 8.70133e7 1.35958
\(401\) 7.62022e7 4.39953e7i 1.18177 0.682297i 0.225349 0.974278i \(-0.427648\pi\)
0.956424 + 0.291981i \(0.0943143\pi\)
\(402\) 6.57593e7 1.10494e8i 1.01223 1.70082i
\(403\) −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
\(408\) −1.01540e8 + 5.68450e7i −1.49505 + 0.836974i
\(409\) −1.01262e7 + 1.75391e7i −0.148005 + 0.256352i −0.930490 0.366317i \(-0.880618\pi\)
0.782485 + 0.622669i \(0.213952\pi\)
\(410\) −7.37096e7 4.25562e7i −1.06948 0.617464i
\(411\) 4.63320e6 + 8.27609e6i 0.0667353 + 0.119206i
\(412\) −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
\(417\) −7.53713e6 4.48565e6i −0.103944 0.0618611i
\(418\) 4.58828e7 + 7.94713e7i 0.628233 + 1.08813i
\(419\) 1.20677e8i 1.64052i −0.571991 0.820260i \(-0.693829\pi\)
0.571991 0.820260i \(-0.306171\pi\)
\(420\) 4.61339e7 1.39403e8i 0.622691 1.88159i
\(421\) 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
\(423\) 7.00380e7 + 4.29482e7i 0.925363 + 0.567445i
\(424\) 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
\(429\) −1.28209e7 2.29014e7i −0.162385 0.290062i
\(430\) 2.72363e7 4.71747e7i 0.342565 0.593340i
\(431\) 2.48879e7 + 1.43690e7i 0.310854 + 0.179472i 0.647309 0.762228i \(-0.275894\pi\)
−0.336454 + 0.941700i \(0.609228\pi\)
\(432\) 2.28891e8 1.20294e8i 2.83907 1.49208i
\(433\) 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
\(438\) −5.95504e7 + 1.00061e8i −0.708700 + 1.19081i
\(439\) −4.48312e7 7.76498e7i −0.529891 0.917798i −0.999392 0.0348659i \(-0.988900\pi\)
0.469501 0.882932i \(-0.344434\pi\)
\(440\) 1.26390e8i 1.48373i
\(441\) 6.88342e7 + 5.11633e7i 0.802580 + 0.596545i
\(442\) −4.78115e7 −0.553688
\(443\) 1.24331e6 717824.i 0.0143010 0.00825670i −0.492832 0.870124i \(-0.664038\pi\)
0.507133 + 0.861868i \(0.330705\pi\)
\(444\) −2.78590e8 1.65800e8i −3.18285 1.89425i
\(445\) −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 \(0.881628\pi\)
\(450\) 6.45213e7 3.50072e7i 0.708053 0.384166i
\(451\) 2.50721e7 4.34262e7i 0.273314 0.473393i
\(452\) 3.04478e8 + 1.75790e8i 3.29716 + 1.90362i
\(453\) −5.02309e7 + 2.81208e7i −0.540352 + 0.302505i
\(454\) 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 0.930998 + 0.365023i \(0.118939\pi\)
−0.149380 + 0.988780i \(0.547728\pi\)
\(458\) −2.62838e8 1.51750e8i −2.73585 1.57954i
\(459\) −2.88966e7 + 4.57527e7i −0.298819 + 0.473128i
\(460\) −4.40804e7 7.63494e7i −0.452868 0.784390i
\(461\) 1.28434e8i 1.31093i 0.755227 + 0.655463i \(0.227527\pi\)
−0.755227 + 0.655463i \(0.772473\pi\)
\(462\) 1.13582e8 + 3.75888e7i 1.15182 + 0.381182i
\(463\) 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
\(465\) −1.11622e7 + 1.87556e7i −0.111018 + 0.186540i
\(466\) −1.71465e7 + 2.96986e7i −0.169441 + 0.293480i
\(467\) 6.28394e7 3.62803e7i 0.616994 0.356222i −0.158703 0.987326i \(-0.550731\pi\)
0.775698 + 0.631104i \(0.217398\pi\)
\(468\) 1.39314e8 + 3.68987e6i 1.35912 + 0.0359976i
\(469\) −3.24041e7 + 1.02443e8i −0.314110 + 0.993036i
\(470\) 1.62553e8i 1.56567i
\(471\) 8.69302e7 4.86661e7i 0.831971 0.465762i
\(472\) 1.35912e8 2.35406e8i 1.29250 2.23868i
\(473\) 2.77931e7 + 1.60464e7i 0.262636 + 0.151633i
\(474\) 7.46466e7 + 1.33338e8i 0.700930 + 1.25204i
\(475\) −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 \(-0.0976990\pi\)
0.214977 + 0.976619i \(0.431032\pi\)
\(480\) 2.18779e8 + 1.30204e8i 1.97825 + 1.17734i
\(481\) −4.10945e7 7.11778e7i −0.369274 0.639601i
\(482\) 1.26208e8i 1.12706i
\(483\) 5.04256e7 1.04322e7i 0.447517 0.0925833i
\(484\) −1.75382e8 −1.54686
\(485\) −1.35397e8 + 7.81714e7i −1.18682 + 0.685208i
\(486\) 1.21328e8 1.81286e8i 1.05695 1.57927i
\(487\) −2.70494e7 + 4.68510e7i −0.234191 + 0.405632i −0.959037 0.283279i \(-0.908578\pi\)
0.724846 + 0.688911i \(0.241911\pi\)
\(488\) −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 \(-0.330619\pi\)
\(492\) 1.30066e8 + 2.32331e8i 1.09211 + 1.95080i
\(493\) 3.12044e7 5.40477e7i 0.260421 0.451062i
\(494\) −1.06980e8 6.17652e7i −0.887409 0.512346i
\(495\) −2.80291e7 5.16602e7i −0.231097 0.425932i
\(496\) 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 0.917300 0.398197i \(-0.130364\pi\)
−0.803499 + 0.595306i \(0.797031\pi\)
\(500\) 3.05502e8 + 1.76381e8i 2.44401 + 1.41105i
\(501\) 4.69730e7 7.89276e7i 0.373538 0.627647i
\(502\) −7.30524e7 1.26530e8i −0.577462 1.00019i
\(503\) 2.25847e8i 1.77464i 0.461150 + 0.887322i \(0.347437\pi\)
−0.461150 + 0.887322i \(0.652563\pi\)
\(504\) −2.96153e8 + 2.56807e8i −2.31326 + 2.00593i
\(505\) 2.00832e6 0.0155941
\(506\) 6.22076e7 3.59156e7i 0.480167 0.277224i
\(507\) −8.16302e7 4.85814e7i −0.626364 0.372775i
\(508\) 1.93906e8 3.35855e8i 1.47911 2.56189i
\(509\) 4.94331e7 2.85402e7i 0.374856 0.216423i −0.300722 0.953712i \(-0.597228\pi\)
0.675578 + 0.737289i \(0.263894\pi\)
\(510\) −1.07058e8 1.41752e6i −0.807064 0.0106861i
\(511\) 2.93446e7 9.27709e7i 0.219920 0.695263i
\(512\) 1.24130e7i 0.0924837i
\(513\) −1.23763e8 + 6.50439e7i −0.916726 + 0.481786i
\(514\) −1.90106e8 + 3.29273e8i −1.39993 + 2.42475i
\(515\) −1.36874e8 7.90241e7i −1.00207 0.578546i
\(516\) −1.48694e8 + 8.32432e7i −1.08229 + 0.605898i
\(517\) −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 \(-0.381426\pi\)
−0.624652 + 0.780903i \(0.714759\pi\)
\(522\) −1.31513e8 + 2.14466e8i −0.924610 + 1.50781i
\(523\) 2.81822e7 + 4.88130e7i 0.197001 + 0.341217i 0.947555 0.319593i \(-0.103546\pi\)
−0.750553 + 0.660810i \(0.770213\pi\)
\(524\) 5.44450e8i 3.78411i
\(525\) −4.58072e7 + 4.07964e7i −0.316560 + 0.281932i
\(526\) −1.71923e8 −1.18134
\(527\) −2.02862e7 + 1.17122e7i −0.138602 + 0.0800216i
\(528\) −1.54150e8 + 2.59014e8i −1.04723 + 1.75963i
\(529\) −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
\(534\) 3.68099e8 2.06073e8i 2.41736 1.35331i
\(535\) 4.93622e7 8.54979e7i 0.322354 0.558334i
\(536\) −4.25286e8 2.45539e8i −2.76177 1.59451i
\(537\) −7.40358e7 1.32247e8i −0.478101 0.854010i
\(538\) 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 0.634660 0.772791i \(-0.281140\pi\)
−0.986587 + 0.163237i \(0.947807\pi\)
\(542\) −8.84284e7 5.10542e7i −0.555385 0.320652i
\(543\) −5.90550e7 3.51460e7i −0.368856 0.219521i
\(544\) 1.36620e8 + 2.36632e8i 0.848626 + 1.46986i
\(545\) 1.52159e8i 0.939955i
\(546\) −1.57714e8 + 3.26283e7i −0.968931 + 0.200455i
\(547\) 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
\(549\) −1.87185e7 + 3.05253e7i −0.113124 + 0.184477i
\(550\) −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
\(555\) −8.99071e7 1.60597e8i −0.525915 0.939418i
\(556\) −2.71442e7 + 4.70151e7i −0.157926 + 0.273535i
\(557\) 7.01201e7 + 4.04839e7i 0.405767 + 0.234270i 0.688969 0.724790i \(-0.258063\pi\)
−0.283202 + 0.959060i \(0.591397\pi\)
\(558\) 8.29975e7 4.50317e7i 0.477708 0.259189i
\(559\) −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 \(-0.248482\pi\)
−0.254209 + 0.967149i \(0.581815\pi\)
\(564\) 2.60068e8 4.36987e8i 1.44961 2.43574i
\(565\) 9.97993e7 + 1.72857e8i 0.553327 + 0.958391i
\(566\) 2.27886e8i 1.25681i
\(567\) −6.40970e7 + 1.70643e8i −0.351632 + 0.936138i
\(568\) 1.57877e8 0.861536
\(569\) −1.28522e8 + 7.42023e7i −0.697656 + 0.402792i −0.806474 0.591270i \(-0.798627\pi\)
0.108818 + 0.994062i \(0.465293\pi\)
\(570\) −2.37716e8 1.41474e8i −1.28361 0.763929i
\(571\) 827390. 1.43308e6i 0.00444428 0.00769773i −0.863795 0.503844i \(-0.831919\pi\)
0.868239 + 0.496146i \(0.165252\pi\)
\(572\) −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
\(576\) −2.32983e8 4.29408e8i −1.21915 2.24700i
\(577\) 2.51308e7 4.35278e7i 0.130821 0.226589i −0.793172 0.608998i \(-0.791572\pi\)
0.923993 + 0.382408i \(0.124905\pi\)
\(578\) 2.18277e8 + 1.26022e8i 1.13038 + 0.652625i
\(579\) 1.24779e8 6.98549e7i 0.642843 0.359883i
\(580\) −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
\(585\) 6.74476e7 + 4.13598e7i 0.336899 + 0.206591i
\(586\) 6.93238e7 + 1.20072e8i 0.344500 + 0.596692i
\(587\) 2.79611e8i 1.38242i −0.722654 0.691210i \(-0.757078\pi\)
0.722654 0.691210i \(-0.242922\pi\)
\(588\) 3.11011e8 4.30210e8i 1.52983 2.11616i
\(589\) −6.05217e7 −0.296186
\(590\) 2.16590e8 1.25048e8i 1.05459 0.608866i
\(591\) −9.35621e7 + 1.57210e8i −0.453249 + 0.761584i
\(592\) −4.71937e8 + 8.17419e8i −2.27467 + 3.93985i
\(593\) −3.01296e8 + 1.73953e8i −1.44487 + 0.834198i −0.998169 0.0604846i \(-0.980735\pi\)
−0.446703 + 0.894682i \(0.647402\pi\)
\(594\) −1.00972e7 + 2.54079e8i −0.0481773 + 1.21230i
\(595\) 8.73654e7 1.92840e7i 0.414752 0.0915472i
\(596\) 1.62895e8i 0.769432i
\(597\) −1.50217e8 + 8.40957e7i −0.705984 + 0.395231i
\(598\) −4.83478e7 + 8.37409e7i −0.226086 + 0.391592i
\(599\) 3.86903e7 + 2.23379e7i 0.180020 + 0.103935i 0.587302 0.809368i \(-0.300190\pi\)
−0.407282 + 0.913303i \(0.633523\pi\)
\(600\) −1.36950e8 2.44628e8i −0.634029 1.13254i
\(601\) 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
\(606\) −7.46650e6 4.44362e6i −0.0335505 0.0199673i
\(607\) 1.78273e8 + 3.08778e8i 0.797113 + 1.38064i 0.921489 + 0.388405i \(0.126974\pi\)
−0.124376 + 0.992235i \(0.539693\pi\)
\(608\) 7.05968e8i 3.14105i
\(609\) 6.60490e7 1.99580e8i 0.292425 0.883621i
\(610\) −7.08468e7 −0.312127
\(611\) 1.11647e8 6.44594e7i 0.489467 0.282594i
\(612\) 2.85533e8 + 1.75093e8i 1.24567 + 0.763860i
\(613\) 8.81058e7 1.52604e8i 0.382493 0.662497i −0.608925 0.793228i \(-0.708399\pi\)
0.991418 + 0.130731i \(0.0417324\pi\)
\(614\) −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 \(-0.228596\pi\)
\(618\) 3.34018e8 + 5.96642e8i 1.41516 + 2.52783i
\(619\) −8.14542e7 + 1.41083e8i −0.343433 + 0.594843i −0.985068 0.172167i \(-0.944923\pi\)
0.641635 + 0.767010i \(0.278256\pi\)
\(620\) 1.16994e8 + 6.75464e7i 0.490894 + 0.283418i
\(621\) 5.09143e7 + 9.68779e7i 0.212601 + 0.404529i
\(622\) 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
\(627\) 8.33500e7 1.40051e8i 0.338145 0.568177i
\(628\) −3.08320e8 5.34026e8i −1.24487 2.15617i
\(629\) 1.97531e8i 0.793750i
\(630\) −3.54116e8 + 6.83842e7i −1.41620 + 0.273486i
\(631\) −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
\(633\) 2.27247e8 + 1.35244e8i 0.895958 + 0.533221i
\(634\) 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
\(639\) 6.45299e7 3.50118e7i 0.247320 0.134188i
\(640\) 1.81562e8 3.14475e8i 0.692606 1.19963i
\(641\) 2.84297e8 + 1.64139e8i 1.07944 + 0.623214i 0.930745 0.365669i \(-0.119160\pi\)
0.148694 + 0.988883i \(0.452493\pi\)
\(642\) −3.72691e8 + 2.08644e8i −1.40846 + 0.788497i
\(643\) 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 0.998673 + 0.0514968i \(0.0163992\pi\)
0.543934 + 0.839128i \(0.316934\pi\)
\(648\) −6.98444e8 4.54170e8i −2.56688 1.66914i
\(649\) 7.36726e7 + 1.27605e8i 0.269508 + 0.466802i
\(650\) 1.15187e8i 0.419433i
\(651\) −5.89245e7 + 5.24788e7i −0.213576 + 0.190213i
\(652\) −3.79168e7 −0.136801
\(653\) 1.40623e8 8.11888e7i 0.505030 0.291579i −0.225758 0.974183i \(-0.572486\pi\)
0.730788 + 0.682604i \(0.239153\pi\)
\(654\) 3.36667e8 5.65693e8i 1.20356 2.02231i
\(655\) 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 \(-0.0211619\pi\)
\(660\) −3.17430e8 + 1.77707e8i −1.10412 + 0.618119i
\(661\) 4.26336e7 7.38435e7i 0.147621 0.255687i −0.782727 0.622365i \(-0.786172\pi\)
0.930348 + 0.366679i \(0.119505\pi\)
\(662\) −5.19555e8 2.99965e8i −1.79084 1.03394i
\(663\) 4.14796e7 + 7.40932e7i 0.142329 + 0.254236i
\(664\) 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
\(669\) 2.89386e8 + 1.72225e8i 0.966494 + 0.575199i
\(670\) −2.25913e8 3.91292e8i −0.751132 1.30100i
\(671\) 4.17396e7i 0.138160i
\(672\) 6.12150e8 + 6.87337e8i 2.01720 + 2.26497i
\(673\) −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
\(675\) −1.10227e8 6.96173e7i −0.358407 0.226363i
\(676\) −2.93983e8 + 5.09193e8i −0.951659 + 1.64832i
\(677\) −1.21840e8 + 7.03444e7i −0.392667 + 0.226706i −0.683315 0.730124i \(-0.739462\pi\)
0.290648 + 0.956830i \(0.406129\pi\)
\(678\) 1.14328e7 8.63463e8i 0.0366829 2.77048i
\(679\) −5.51931e8 + 1.21826e8i −1.76309 + 0.389164i
\(680\) 4.08912e8i 1.30048i
\(681\) −1.31843e8 2.35506e8i −0.417462 0.745694i
\(682\) −5.50352e7 + 9.53237e7i −0.173495 + 0.300502i
\(683\) −4.97482e8 2.87222e8i −1.56140 0.901478i −0.997115 0.0759006i \(-0.975817\pi\)
−0.564290 0.825577i \(-0.690850\pi\)
\(684\) 4.12701e8 + 7.60644e8i 1.28964 + 2.37691i
\(685\) 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
\(690\) −1.10742e8 + 1.86076e8i −0.337104 + 0.566427i
\(691\) −2.89223e7 5.00949e7i −0.0876595 0.151831i 0.818862 0.573991i \(-0.194605\pi\)
−0.906521 + 0.422160i \(0.861272\pi\)
\(692\) 7.29675e8i 2.20197i
\(693\) −4.02888e7 2.08628e8i −0.121055 0.626864i
\(694\) −1.46245e8 −0.437523
\(695\) −2.66913e7 + 1.54102e7i −0.0795089 + 0.0459045i
\(696\) 8.25668e8 + 4.91389e8i 2.44894 + 1.45746i
\(697\) −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 \(-0.204775\pi\)
\(702\) −1.59243e8 3.03002e8i −0.460308 0.875858i
\(703\) 2.55181e8 4.41986e8i 0.734483 1.27216i
\(704\) 4.93181e8 + 2.84738e8i 1.41348 + 0.816071i
\(705\) 2.51907e8 1.41025e8i 0.718908 0.402466i
\(706\) 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 0.996341 + 0.0854692i \(0.0272389\pi\)
−0.424152 + 0.905591i \(0.639428\pi\)
\(710\) 1.25797e8 + 7.26288e7i 0.351475 + 0.202924i
\(711\) 1.41872e8 2.31359e8i 0.394720 0.643691i
\(712\) −8.05578e8 1.39530e9i −2.23186 3.86570i
\(713\) 4.73745e7i 0.130700i
\(714\) −3.67474e8 1.21611e8i −1.00956 0.334103i
\(715\) −9.22264e7 −0.252312
\(716\) −8.12414e8 + 4.69048e8i −2.21329 + 1.27784i
\(717\) −2.80609e8 + 4.71500e8i −0.761280 + 1.27916i
\(718\) 5.17407e8 8.96176e8i 1.39785 2.42114i
\(719\) −1.40812e8 + 8.12980e7i −0.378838 + 0.218722i −0.677313 0.735695i \(-0.736856\pi\)
0.298475 + 0.954418i \(0.403522\pi\)
\(720\) 2.40572e7 9.08300e8i 0.0644536 2.43350i
\(721\) −3.85632e8 4.21623e8i −1.02889 1.12491i
\(722\) 5.18563e7i 0.137781i
\(723\) −1.95585e8 + 1.09494e8i −0.517511 + 0.289718i
\(724\) −2.12680e8 + 3.68373e8i −0.560418 + 0.970672i
\(725\) 1.30211e8 + 7.51773e7i 0.341691 + 0.197275i
\(726\) 2.10426e8 + 3.75874e8i 0.549906 + 0.982274i
\(727\) −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
\(732\) 1.90456e8 + 1.13348e8i 0.485580 + 0.288989i
\(733\) 2.32660e7 + 4.02978e7i 0.0590757 + 0.102322i 0.894051 0.447966i \(-0.147851\pi\)
−0.834975 + 0.550288i \(0.814518\pi\)
\(734\) 7.04142e8i 1.78062i
\(735\) 2.75030e8 1.23233e8i 0.692656 0.310359i
\(736\) 5.52609e8 1.38607
\(737\) 2.30531e8 1.33097e8i 0.575873 0.332481i
\(738\) 3.41870e8 5.57506e8i 0.850535 1.38701i
\(739\) 2.69977e8 4.67613e8i 0.668949 1.15865i −0.309250 0.950981i \(-0.600078\pi\)
0.978198 0.207672i \(-0.0665887\pi\)
\(740\) −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 \(0.867573\pi\)
\(744\) −1.76167e8 3.14680e8i −0.427766 0.764099i
\(745\) −4.62393e7 + 8.00888e7i −0.111826 + 0.193688i
\(746\) 5.67990e8 + 3.27929e8i 1.36812 + 0.789885i
\(747\) 1.55899e8 8.45855e7i 0.374007 0.202924i
\(748\) −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 0.976065 0.217479i \(-0.0697833\pi\)
−0.676375 + 0.736558i \(0.736450\pi\)
\(752\) −1.28218e9 7.40264e8i −3.01505 1.74074i
\(753\) −1.32706e8 + 2.22982e8i −0.310817 + 0.522259i
\(754\) 1.97384e8 + 3.41879e8i 0.460466 + 0.797550i
\(755\) 2.02285e8i 0.470028i
\(756\) 1.06137e9 + 3.82715e8i 2.45641 + 0.885748i
\(757\) 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
\(759\) −1.09627e8 6.52437e7i −0.250723 0.149215i
\(760\) −5.28252e8 + 9.14960e8i −1.20337 + 2.08430i
\(761\) −2.56758e8 + 1.48239e8i −0.582600 + 0.336364i −0.762166 0.647382i \(-0.775864\pi\)
0.179566 + 0.983746i \(0.442531\pi\)
\(762\) −9.52443e8 1.26110e7i −2.15265 0.0285025i
\(763\) −1.65899e8 + 5.24477e8i −0.373482 + 1.18074i
\(764\) 9.16585e8i 2.05538i
\(765\) 9.06830e7 + 1.67137e8i 0.202554 + 0.373326i
\(766\)