Properties

Label 21.7.h.a.11.3
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 11.3
Character \(\chi\) \(=\) 21.11
Dual form 21.7.h.a.2.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-9.23947 + 5.33441i) q^{2} +(-22.3946 + 15.0825i) q^{3} +(24.9119 - 43.1487i) q^{4} +(-152.840 + 88.2420i) q^{5} +(126.458 - 258.817i) q^{6} +(342.557 + 17.4303i) q^{7} -151.243i q^{8} +(274.035 - 675.534i) q^{9} +O(q^{10})\) \(q+(-9.23947 + 5.33441i) q^{2} +(-22.3946 + 15.0825i) q^{3} +(24.9119 - 43.1487i) q^{4} +(-152.840 + 88.2420i) q^{5} +(126.458 - 258.817i) q^{6} +(342.557 + 17.4303i) q^{7} -151.243i q^{8} +(274.035 - 675.534i) q^{9} +(941.439 - 1630.62i) q^{10} +(766.504 + 442.541i) q^{11} +(92.8995 + 1342.03i) q^{12} -3039.13 q^{13} +(-3258.03 + 1666.29i) q^{14} +(2091.87 - 4281.35i) q^{15} +(2401.15 + 4158.92i) q^{16} +(408.579 + 235.893i) q^{17} +(1071.64 + 7703.39i) q^{18} +(-4203.86 - 7281.30i) q^{19} +8793.11i q^{20} +(-7934.31 + 4776.28i) q^{21} -9442.80 q^{22} +(-489.271 + 282.481i) q^{23} +(2281.12 + 3387.02i) q^{24} +(7760.80 - 13442.1i) q^{25} +(28080.0 - 16212.0i) q^{26} +(4051.86 + 19261.4i) q^{27} +(9285.85 - 14346.7i) q^{28} -35049.2i q^{29} +(3510.74 + 50716.3i) q^{30} +(12963.8 - 22453.9i) q^{31} +(-35988.1 - 20777.7i) q^{32} +(-23840.2 + 1650.29i) q^{33} -5033.41 q^{34} +(-53894.3 + 27563.9i) q^{35} +(-22321.7 - 28653.1i) q^{36} +(1752.36 + 3035.18i) q^{37} +(77683.0 + 44850.3i) q^{38} +(68060.1 - 45837.8i) q^{39} +(13346.0 + 23115.9i) q^{40} -1160.80i q^{41} +(47830.2 - 86455.2i) q^{42} -91849.8 q^{43} +(38190.2 - 22049.1i) q^{44} +(17727.1 + 127430. i) q^{45} +(3013.74 - 5219.94i) q^{46} +(-47734.7 + 27559.7i) q^{47} +(-116500. - 56921.9i) q^{48} +(117041. + 11941.7i) q^{49} +165597. i q^{50} +(-12707.8 + 879.674i) q^{51} +(-75710.6 + 131135. i) q^{52} +(14804.2 + 8547.21i) q^{53} +(-140186. - 156351. i) q^{54} -156203. q^{55} +(2636.20 - 51809.2i) q^{56} +(203964. + 99656.9i) q^{57} +(186967. + 323836. i) q^{58} +(-327850. - 189284. i) q^{59} +(-132622. - 196918. i) q^{60} +(-39480.6 - 68382.4i) q^{61} +276617. i q^{62} +(105647. - 226632. i) q^{63} +136000. q^{64} +(464500. - 268179. i) q^{65} +(211468. - 142421. i) q^{66} +(30150.0 - 52221.3i) q^{67} +(20357.0 - 11753.1i) q^{68} +(6696.49 - 13705.5i) q^{69} +(350918. - 542170. i) q^{70} -330141. i q^{71} +(-102170. - 41445.8i) q^{72} +(-182079. + 315369. i) q^{73} +(-32381.8 - 18695.6i) q^{74} +(28940.9 + 418083. i) q^{75} -418905. q^{76} +(254858. + 164956. i) q^{77} +(-384322. + 786578. i) q^{78} +(183846. + 318430. i) q^{79} +(-733983. - 423765. i) q^{80} +(-381251. - 370240. i) q^{81} +(6192.20 + 10725.2i) q^{82} +518160. i q^{83} +(8431.38 + 461342. i) q^{84} -83262.7 q^{85} +(848644. - 489965. i) q^{86} +(528631. + 784913. i) q^{87} +(66931.2 - 115928. i) q^{88} +(-651596. + 376199. i) q^{89} +(-843552. - 1.08282e6i) q^{90} +(-1.04108e6 - 52972.9i) q^{91} +28148.5i q^{92} +(48343.5 + 698373. i) q^{93} +(294029. - 509274. i) q^{94} +(1.28503e6 + 741915. i) q^{95} +(1.11932e6 - 77482.6i) q^{96} +1.02408e6 q^{97} +(-1.14510e6 + 514012. i) q^{98} +(509001. - 396528. 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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.23947 + 5.33441i −1.15493 + 0.666802i −0.950085 0.311992i \(-0.899004\pi\)
−0.204850 + 0.978793i \(0.565671\pi\)
\(3\) −22.3946 + 15.0825i −0.829429 + 0.558612i
\(4\) 24.9119 43.1487i 0.389249 0.674199i
\(5\) −152.840 + 88.2420i −1.22272 + 0.705936i −0.965496 0.260417i \(-0.916140\pi\)
−0.257221 + 0.966353i \(0.582807\pi\)
\(6\) 126.458 258.817i 0.585453 1.19822i
\(7\) 342.557 + 17.4303i 0.998708 + 0.0508171i
\(8\) 151.243i 0.295396i
\(9\) 274.035 675.534i 0.375905 0.926658i
\(10\) 941.439 1630.62i 0.941439 1.63062i
\(11\) 766.504 + 442.541i 0.575886 + 0.332488i 0.759497 0.650511i \(-0.225445\pi\)
−0.183611 + 0.982999i \(0.558779\pi\)
\(12\) 92.8995 + 1342.03i 0.0537613 + 0.776639i
\(13\) −3039.13 −1.38331 −0.691655 0.722228i \(-0.743118\pi\)
−0.691655 + 0.722228i \(0.743118\pi\)
\(14\) −3258.03 + 1666.29i −1.18733 + 0.607250i
\(15\) 2091.87 4281.35i 0.619813 1.26855i
\(16\) 2401.15 + 4158.92i 0.586219 + 1.01536i
\(17\) 408.579 + 235.893i 0.0831628 + 0.0480141i 0.541005 0.841020i \(-0.318044\pi\)
−0.457842 + 0.889034i \(0.651377\pi\)
\(18\) 1071.64 + 7703.39i 0.183752 + 1.32088i
\(19\) −4203.86 7281.30i −0.612897 1.06157i −0.990750 0.135703i \(-0.956671\pi\)
0.377852 0.925866i \(-0.376663\pi\)
\(20\) 8793.11i 1.09914i
\(21\) −7934.31 + 4776.28i −0.856744 + 0.515741i
\(22\) −9442.80 −0.886814
\(23\) −489.271 + 282.481i −0.0402129 + 0.0232169i −0.519972 0.854183i \(-0.674058\pi\)
0.479759 + 0.877400i \(0.340724\pi\)
\(24\) 2281.12 + 3387.02i 0.165012 + 0.245010i
\(25\) 7760.80 13442.1i 0.496691 0.860294i
\(26\) 28080.0 16212.0i 1.59763 0.922393i
\(27\) 4051.86 + 19261.4i 0.205856 + 0.978582i
\(28\) 9285.85 14346.7i 0.423007 0.653547i
\(29\) 35049.2i 1.43709i −0.695480 0.718546i \(-0.744808\pi\)
0.695480 0.718546i \(-0.255192\pi\)
\(30\) 3510.74 + 50716.3i 0.130027 + 1.87838i
\(31\) 12963.8 22453.9i 0.435158 0.753715i −0.562151 0.827035i \(-0.690026\pi\)
0.997308 + 0.0733197i \(0.0233593\pi\)
\(32\) −35988.1 20777.7i −1.09827 0.634086i
\(33\) −23840.2 + 1650.29i −0.663388 + 0.0459217i
\(34\) −5033.41 −0.128063
\(35\) −53894.3 + 27563.9i −1.25701 + 0.642889i
\(36\) −22321.7 28653.1i −0.478431 0.614135i
\(37\) 1752.36 + 3035.18i 0.0345954 + 0.0599210i 0.882805 0.469740i \(-0.155652\pi\)
−0.848209 + 0.529661i \(0.822319\pi\)
\(38\) 77683.0 + 44850.3i 1.41571 + 0.817362i
\(39\) 68060.1 45837.8i 1.14736 0.772733i
\(40\) 13346.0 + 23115.9i 0.208531 + 0.361186i
\(41\) 1160.80i 0.0168425i −0.999965 0.00842126i \(-0.997319\pi\)
0.999965 0.00842126i \(-0.00268060\pi\)
\(42\) 47830.2 86455.2i 0.645587 1.16693i
\(43\) −91849.8 −1.15524 −0.577621 0.816305i \(-0.696019\pi\)
−0.577621 + 0.816305i \(0.696019\pi\)
\(44\) 38190.2 22049.1i 0.448326 0.258841i
\(45\) 17727.1 + 127430.i 0.194536 + 1.39841i
\(46\) 3013.74 5219.94i 0.0309622 0.0536281i
\(47\) −47734.7 + 27559.7i −0.459770 + 0.265449i −0.711948 0.702232i \(-0.752187\pi\)
0.252177 + 0.967681i \(0.418853\pi\)
\(48\) −116500. 56921.9i −1.05342 0.514701i
\(49\) 117041. + 11941.7i 0.994835 + 0.101503i
\(50\) 165597.i 1.32478i
\(51\) −12707.8 + 879.674i −0.0957989 + 0.00663149i
\(52\) −75710.6 + 131135.i −0.538452 + 0.932626i
\(53\) 14804.2 + 8547.21i 0.0994392 + 0.0574112i 0.548895 0.835891i \(-0.315049\pi\)
−0.449456 + 0.893303i \(0.648382\pi\)
\(54\) −140186. 156351.i −0.890270 0.992933i
\(55\) −156203. −0.938861
\(56\) 2636.20 51809.2i 0.0150112 0.295014i
\(57\) 203964. + 99656.9i 1.10136 + 0.538125i
\(58\) 186967. + 323836.i 0.958255 + 1.65975i
\(59\) −327850. 189284.i −1.59632 0.921634i −0.992189 0.124746i \(-0.960188\pi\)
−0.604128 0.796888i \(-0.706478\pi\)
\(60\) −132622. 196918.i −0.613992 0.911658i
\(61\) −39480.6 68382.4i −0.173938 0.301269i 0.765855 0.643013i \(-0.222316\pi\)
−0.939793 + 0.341744i \(0.888983\pi\)
\(62\) 276617.i 1.16066i
\(63\) 105647. 226632.i 0.422509 0.906359i
\(64\) 136000. 0.518800
\(65\) 464500. 268179.i 1.69140 0.976528i
\(66\) 211468. 142421.i 0.735549 0.495385i
\(67\) 30150.0 52221.3i 0.100245 0.173629i −0.811541 0.584296i \(-0.801371\pi\)
0.911786 + 0.410667i \(0.134704\pi\)
\(68\) 20357.0 11753.1i 0.0647421 0.0373789i
\(69\) 6696.49 13705.5i 0.0203845 0.0417202i
\(70\) 350918. 542170.i 1.02309 1.58067i
\(71\) 330141.i 0.922410i −0.887294 0.461205i \(-0.847417\pi\)
0.887294 0.461205i \(-0.152583\pi\)
\(72\) −102170. 41445.8i −0.273731 0.111041i
\(73\) −182079. + 315369.i −0.468048 + 0.810683i −0.999333 0.0365102i \(-0.988376\pi\)
0.531285 + 0.847193i \(0.321709\pi\)
\(74\) −32381.8 18695.6i −0.0799108 0.0461365i
\(75\) 28940.9 + 418083.i 0.0686008 + 0.991011i
\(76\) −418905. −0.954279
\(77\) 254858. + 164956.i 0.558246 + 0.361323i
\(78\) −384322. + 786578.i −0.809862 + 1.65752i
\(79\) 183846. + 318430.i 0.372883 + 0.645852i 0.990008 0.141013i \(-0.0450360\pi\)
−0.617125 + 0.786865i \(0.711703\pi\)
\(80\) −733983. 423765.i −1.43356 0.827667i
\(81\) −381251. 370240.i −0.717391 0.696671i
\(82\) 6192.20 + 10725.2i 0.0112306 + 0.0194520i
\(83\) 518160.i 0.906212i 0.891457 + 0.453106i \(0.149684\pi\)
−0.891457 + 0.453106i \(0.850316\pi\)
\(84\) 8431.38 + 461342.i 0.0142253 + 0.778368i
\(85\) −83262.7 −0.135579
\(86\) 848644. 489965.i 1.33423 0.770317i
\(87\) 528631. + 784913.i 0.802777 + 1.19197i
\(88\) 66931.2 115928.i 0.0982156 0.170114i
\(89\) −651596. + 376199.i −0.924290 + 0.533639i −0.885001 0.465589i \(-0.845843\pi\)
−0.0392888 + 0.999228i \(0.512509\pi\)
\(90\) −843552. 1.08282e6i −1.15714 1.48535i
\(91\) −1.04108e6 52972.9i −1.38152 0.0702958i
\(92\) 28148.5i 0.0361487i
\(93\) 48343.5 + 698373.i 0.0601020 + 0.868237i
\(94\) 294029. 509274.i 0.354003 0.613151i
\(95\) 1.28503e6 + 741915.i 1.49880 + 0.865333i
\(96\) 1.11932e6 77482.6i 1.26514 0.0875771i
\(97\) 1.02408e6 1.12207 0.561035 0.827792i \(-0.310403\pi\)
0.561035 + 0.827792i \(0.310403\pi\)
\(98\) −1.14510e6 + 514012.i −1.21665 + 0.546129i
\(99\) 509001. 396528.i 0.524581 0.408666i
\(100\) −386673. 669737.i −0.386673 0.669737i
\(101\) 189942. + 109663.i 0.184356 + 0.106438i 0.589338 0.807887i \(-0.299389\pi\)
−0.404982 + 0.914325i \(0.632722\pi\)
\(102\) 112721. 75916.5i 0.106220 0.0715378i
\(103\) −857597. 1.48540e6i −0.784823 1.35935i −0.929105 0.369816i \(-0.879421\pi\)
0.144282 0.989537i \(-0.453913\pi\)
\(104\) 459647.i 0.408624i
\(105\) 791209. 1.43014e6i 0.683476 1.23541i
\(106\) −182378. −0.153128
\(107\) −1.91866e6 + 1.10774e6i −1.56620 + 0.904246i −0.569594 + 0.821926i \(0.692900\pi\)
−0.996606 + 0.0823201i \(0.973767\pi\)
\(108\) 932046. + 305007.i 0.739888 + 0.242124i
\(109\) 25554.5 44261.7i 0.0197328 0.0341781i −0.855990 0.516992i \(-0.827052\pi\)
0.875723 + 0.482814i \(0.160385\pi\)
\(110\) 1.44323e6 833251.i 1.08432 0.626034i
\(111\) −85021.5 41541.5i −0.0621670 0.0303748i
\(112\) 750041. + 1.46652e6i 0.533864 + 1.04384i
\(113\) 2.36844e6i 1.64145i −0.571326 0.820723i \(-0.693571\pi\)
0.571326 0.820723i \(-0.306429\pi\)
\(114\) −2.41613e6 + 167252.i −1.63082 + 0.112890i
\(115\) 49853.3 86348.4i 0.0327794 0.0567755i
\(116\) −1.51233e6 873144.i −0.968885 0.559386i
\(117\) −832828. + 2.05304e6i −0.519993 + 1.28186i
\(118\) 4.03888e6 2.45819
\(119\) 135850. + 87928.5i 0.0806154 + 0.0521781i
\(120\) −647523. 316380.i −0.374724 0.183090i
\(121\) −494095. 855797.i −0.278903 0.483075i
\(122\) 729560. + 421211.i 0.401773 + 0.231964i
\(123\) 17507.8 + 25995.7i 0.00940843 + 0.0139697i
\(124\) −645905. 1.11874e6i −0.338769 0.586765i
\(125\) 18248.2i 0.00934309i
\(126\) 232825. + 2.65753e6i 0.116391 + 1.32851i
\(127\) −998266. −0.487344 −0.243672 0.969858i \(-0.578352\pi\)
−0.243672 + 0.969858i \(0.578352\pi\)
\(128\) 1.04667e6 604293.i 0.499090 0.288149i
\(129\) 2.05694e6 1.38533e6i 0.958191 0.645332i
\(130\) −2.86116e6 + 4.95567e6i −1.30230 + 2.25565i
\(131\) 1.72512e6 996001.i 0.767373 0.443043i −0.0645636 0.997914i \(-0.520566\pi\)
0.831937 + 0.554870i \(0.187232\pi\)
\(132\) −522697. + 1.06979e6i −0.227263 + 0.465131i
\(133\) −1.31315e6 2.56754e6i −0.558160 1.09134i
\(134\) 643330.i 0.267374i
\(135\) −2.31895e6 2.58637e6i −0.942520 1.05121i
\(136\) 35677.1 61794.6i 0.0141832 0.0245660i
\(137\) 2.12580e6 + 1.22733e6i 0.826726 + 0.477310i 0.852730 0.522351i \(-0.174945\pi\)
−0.0260045 + 0.999662i \(0.508278\pi\)
\(138\) 11238.6 + 162353.i 0.00427636 + 0.0617766i
\(139\) −1.87348e6 −0.697598 −0.348799 0.937197i \(-0.613410\pi\)
−0.348799 + 0.937197i \(0.613410\pi\)
\(140\) −153266. + 3.01214e6i −0.0558551 + 1.09772i
\(141\) 653330. 1.33715e6i 0.233064 0.477004i
\(142\) 1.76111e6 + 3.05033e6i 0.615065 + 1.06532i
\(143\) −2.32951e6 1.34494e6i −0.796629 0.459934i
\(144\) 3.46749e6 482372.i 1.16126 0.161545i
\(145\) 3.09281e6 + 5.35691e6i 1.01449 + 1.75716i
\(146\) 3.88513e6i 1.24838i
\(147\) −2.80120e6 + 1.49785e6i −0.881846 + 0.471538i
\(148\) 174619. 0.0538649
\(149\) −63765.1 + 36814.8i −0.0192763 + 0.0111292i −0.509607 0.860407i \(-0.670209\pi\)
0.490331 + 0.871536i \(0.336876\pi\)
\(150\) −2.49763e6 3.70848e6i −0.740037 1.09881i
\(151\) 424826. 735820.i 0.123390 0.213718i −0.797712 0.603038i \(-0.793957\pi\)
0.921102 + 0.389320i \(0.127290\pi\)
\(152\) −1.10124e6 + 635804.i −0.313583 + 0.181047i
\(153\) 271319. 211366.i 0.0757540 0.0590148i
\(154\) −3.23469e6 164590.i −0.885668 0.0450653i
\(155\) 4.57580e6i 1.22877i
\(156\) −282334. 4.07861e6i −0.0743685 1.07433i
\(157\) −1.42920e6 + 2.47544e6i −0.369312 + 0.639667i −0.989458 0.144819i \(-0.953740\pi\)
0.620146 + 0.784486i \(0.287073\pi\)
\(158\) −3.39728e6 1.96142e6i −0.861311 0.497278i
\(159\) −460448. + 31873.6i −0.114548 + 0.00792938i
\(160\) 7.33388e6 1.79050
\(161\) −172527. + 88237.5i −0.0413408 + 0.0211434i
\(162\) 5.49757e6 + 1.38707e6i 1.29308 + 0.326252i
\(163\) −2.28916e6 3.96494e6i −0.528584 0.915534i −0.999445 0.0333262i \(-0.989390\pi\)
0.470861 0.882207i \(-0.343943\pi\)
\(164\) −50087.2 28917.8i −0.0113552 0.00655593i
\(165\) 3.49810e6 2.35594e6i 0.778718 0.524459i
\(166\) −2.76408e6 4.78753e6i −0.604264 1.04662i
\(167\) 418018.i 0.0897523i −0.998993 0.0448762i \(-0.985711\pi\)
0.998993 0.0448762i \(-0.0142893\pi\)
\(168\) 722378. + 1.20001e6i 0.152348 + 0.253079i
\(169\) 4.40951e6 0.913545
\(170\) 769304. 444158.i 0.156585 0.0904046i
\(171\) −6.07077e6 + 844521.i −1.21410 + 0.168897i
\(172\) −2.28816e6 + 3.96320e6i −0.449677 + 0.778863i
\(173\) −1.68052e6 + 970246.i −0.324567 + 0.187389i −0.653426 0.756990i \(-0.726669\pi\)
0.328860 + 0.944379i \(0.393336\pi\)
\(174\) −9.07132e6 4.43225e6i −1.72196 0.841349i
\(175\) 2.89281e6 4.46941e6i 0.539767 0.833943i
\(176\) 4.25044e6i 0.779644i
\(177\) 1.01969e7 705863.i 1.83887 0.127292i
\(178\) 4.01360e6 6.95176e6i 0.711663 1.23264i
\(179\) 1.82126e6 + 1.05150e6i 0.317550 + 0.183338i 0.650300 0.759677i \(-0.274643\pi\)
−0.332750 + 0.943015i \(0.607976\pi\)
\(180\) 5.94005e6 + 2.40962e6i 1.01853 + 0.413172i
\(181\) 4.35975e6 0.735234 0.367617 0.929977i \(-0.380174\pi\)
0.367617 + 0.929977i \(0.380174\pi\)
\(182\) 9.90157e6 5.06408e6i 1.64244 0.840014i
\(183\) 1.91553e6 + 935928.i 0.312562 + 0.152718i
\(184\) 42723.1 + 73998.7i 0.00685819 + 0.0118787i
\(185\) −535660. 309264.i −0.0846008 0.0488443i
\(186\) −4.17208e6 6.19471e6i −0.648356 0.962681i
\(187\) 208785. + 361626.i 0.0319282 + 0.0553013i
\(188\) 2.74626e6i 0.413302i
\(189\) 1.05226e6 + 6.66876e6i 0.155861 + 0.987779i
\(190\) −1.58307e7 −2.30802
\(191\) −7.07195e6 + 4.08299e6i −1.01494 + 0.585974i −0.912633 0.408779i \(-0.865955\pi\)
−0.102304 + 0.994753i \(0.532621\pi\)
\(192\) −3.04567e6 + 2.05123e6i −0.430308 + 0.289808i
\(193\) −7.09039e6 + 1.22809e7i −0.986276 + 1.70828i −0.350150 + 0.936694i \(0.613869\pi\)
−0.636125 + 0.771586i \(0.719464\pi\)
\(194\) −9.46199e6 + 5.46288e6i −1.29592 + 0.748198i
\(195\) −6.35746e6 + 1.30116e7i −0.857393 + 1.75479i
\(196\) 3.43100e6 4.75270e6i 0.455672 0.631207i
\(197\) 7.39165e6i 0.966814i −0.875396 0.483407i \(-0.839399\pi\)
0.875396 0.483407i \(-0.160601\pi\)
\(198\) −2.58765e6 + 6.37893e6i −0.333358 + 0.821774i
\(199\) −4.06219e6 + 7.03592e6i −0.515467 + 0.892815i 0.484372 + 0.874862i \(0.339048\pi\)
−0.999839 + 0.0179528i \(0.994285\pi\)
\(200\) −2.03302e6 1.17376e6i −0.254128 0.146721i
\(201\) 112433. + 1.62421e6i 0.0138454 + 0.200011i
\(202\) −2.33995e6 −0.283892
\(203\) 610917. 1.20064e7i 0.0730288 1.43523i
\(204\) −278620. + 570241.i −0.0328187 + 0.0671688i
\(205\) 102432. + 177417.i 0.0118897 + 0.0205936i
\(206\) 1.58475e7 + 9.14955e6i 1.81284 + 1.04664i
\(207\) 56748.0 + 407928.i 0.00639793 + 0.0459910i
\(208\) −7.29742e6 1.26395e7i −0.810923 1.40456i
\(209\) 7.44154e6i 0.815124i
\(210\) 318628. + 1.74344e7i 0.0344053 + 1.88256i
\(211\) 7.35737e6 0.783205 0.391602 0.920135i \(-0.371921\pi\)
0.391602 + 0.920135i \(0.371921\pi\)
\(212\) 737603. 425855.i 0.0774132 0.0446945i
\(213\) 4.97936e6 + 7.39336e6i 0.515269 + 0.765074i
\(214\) 1.18183e7 2.04699e7i 1.20591 2.08869i
\(215\) 1.40383e7 8.10501e6i 1.41253 0.815527i
\(216\) 2.91315e6 612815.i 0.289069 0.0608090i
\(217\) 4.83221e6 7.46578e6i 0.472897 0.730628i
\(218\) 545273.i 0.0526313i
\(219\) −678993. 9.80877e6i −0.0646447 0.933861i
\(220\) −3.89132e6 + 6.73996e6i −0.365451 + 0.632979i
\(221\) −1.24173e6 716910.i −0.115040 0.0664183i
\(222\) 1.00715e6 69718.2i 0.0920528 0.00637217i
\(223\) −473067. −0.0426588 −0.0213294 0.999773i \(-0.506790\pi\)
−0.0213294 + 0.999773i \(0.506790\pi\)
\(224\) −1.19658e7 7.74484e6i −1.06463 0.689078i
\(225\) −6.95386e6 8.92629e6i −0.610490 0.783652i
\(226\) 1.26342e7 + 2.18831e7i 1.09452 + 1.89576i
\(227\) 7.06037e6 + 4.07630e6i 0.603601 + 0.348489i 0.770457 0.637492i \(-0.220028\pi\)
−0.166856 + 0.985981i \(0.553362\pi\)
\(228\) 9.38121e6 6.31815e6i 0.791506 0.533072i
\(229\) −3.29935e6 5.71465e6i −0.274740 0.475864i 0.695329 0.718691i \(-0.255259\pi\)
−0.970070 + 0.242827i \(0.921925\pi\)
\(230\) 1.06375e6i 0.0874293i
\(231\) −8.19538e6 + 149777.i −0.664865 + 0.0121509i
\(232\) −5.30094e6 −0.424511
\(233\) −1.07075e7 + 6.18197e6i −0.846486 + 0.488719i −0.859464 0.511197i \(-0.829202\pi\)
0.0129778 + 0.999916i \(0.495869\pi\)
\(234\) −3.25685e6 2.34116e7i −0.254185 1.82719i
\(235\) 4.86384e6 8.42442e6i 0.374779 0.649137i
\(236\) −1.63347e7 + 9.43087e6i −1.24273 + 0.717490i
\(237\) −8.91988e6 4.35825e6i −0.670061 0.327392i
\(238\) −1.72423e6 87733.6i −0.127898 0.00650781i
\(239\) 7.84259e6i 0.574468i 0.957860 + 0.287234i \(0.0927357\pi\)
−0.957860 + 0.287234i \(0.907264\pi\)
\(240\) 2.28287e7 1.58027e6i 1.65138 0.114314i
\(241\) 3.41141e6 5.90873e6i 0.243715 0.422127i −0.718055 0.695987i \(-0.754967\pi\)
0.961770 + 0.273860i \(0.0883005\pi\)
\(242\) 9.13035e6 + 5.27141e6i 0.644230 + 0.371947i
\(243\) 1.41221e7 + 2.54113e6i 0.984194 + 0.177096i
\(244\) −3.93415e6 −0.270820
\(245\) −1.89423e7 + 8.50280e6i −1.28806 + 0.578181i
\(246\) −300435. 146793.i −0.0201811 0.00986050i
\(247\) 1.27761e7 + 2.21288e7i 0.847827 + 1.46848i
\(248\) −3.39599e6 1.96068e6i −0.222644 0.128544i
\(249\) −7.81517e6 1.16040e7i −0.506221 0.751639i
\(250\) 97343.6 + 168604.i 0.00622999 + 0.0107907i
\(251\) 1.46090e7i 0.923846i 0.886920 + 0.461923i \(0.152840\pi\)
−0.886920 + 0.461923i \(0.847160\pi\)
\(252\) −7.14702e6 1.02044e7i −0.446605 0.637654i
\(253\) −500037. −0.0308774
\(254\) 9.22346e6 5.32516e6i 0.562850 0.324961i
\(255\) 1.86463e6 1.25581e6i 0.112454 0.0757363i
\(256\) −1.07991e7 + 1.87046e7i −0.643677 + 1.11488i
\(257\) 6.83136e6 3.94409e6i 0.402446 0.232353i −0.285093 0.958500i \(-0.592024\pi\)
0.687539 + 0.726147i \(0.258691\pi\)
\(258\) −1.16151e7 + 2.37723e7i −0.676339 + 1.38424i
\(259\) 547379. + 1.07027e6i 0.0315057 + 0.0616016i
\(260\) 2.67234e7i 1.52045i
\(261\) −2.36769e7 9.60471e6i −1.33169 0.540210i
\(262\) −1.06262e7 + 1.84051e7i −0.590844 + 1.02337i
\(263\) −2.15711e7 1.24541e7i −1.18578 0.684611i −0.228437 0.973559i \(-0.573361\pi\)
−0.957345 + 0.288948i \(0.906695\pi\)
\(264\) 249594. + 3.60566e6i 0.0135651 + 0.195962i
\(265\) −3.01689e6 −0.162115
\(266\) 2.58291e7 + 1.67178e7i 1.37235 + 0.888248i
\(267\) 8.91818e6 1.82525e7i 0.468536 0.958935i
\(268\) −1.50219e6 2.60187e6i −0.0780405 0.135170i
\(269\) 2.37134e7 + 1.36910e7i 1.21825 + 0.703359i 0.964544 0.263922i \(-0.0850160\pi\)
0.253709 + 0.967281i \(0.418349\pi\)
\(270\) 3.52227e7 + 1.15264e7i 1.78950 + 0.585603i
\(271\) −2.58227e6 4.47262e6i −0.129746 0.224726i 0.793832 0.608137i \(-0.208083\pi\)
−0.923578 + 0.383410i \(0.874749\pi\)
\(272\) 2.26566e6i 0.112587i
\(273\) 2.41134e7 1.45157e7i 1.18514 0.713430i
\(274\) −2.61884e7 −1.27309
\(275\) 1.18974e7 6.86895e6i 0.572075 0.330288i
\(276\) −424551. 630375.i −0.0201931 0.0299828i
\(277\) −9.08673e6 + 1.57387e7i −0.427532 + 0.740507i −0.996653 0.0817467i \(-0.973950\pi\)
0.569121 + 0.822254i \(0.307283\pi\)
\(278\) 1.73100e7 9.99394e6i 0.805680 0.465160i
\(279\) −1.16159e7 1.49106e7i −0.534858 0.686568i
\(280\) 4.16884e6 + 8.15113e6i 0.189907 + 0.371316i
\(281\) 3.49201e7i 1.57382i 0.617065 + 0.786912i \(0.288322\pi\)
−0.617065 + 0.786912i \(0.711678\pi\)
\(282\) 1.09647e6 + 1.58397e7i 0.0488933 + 0.706316i
\(283\) 2.43250e6 4.21321e6i 0.107323 0.185889i −0.807362 0.590057i \(-0.799105\pi\)
0.914685 + 0.404167i \(0.132439\pi\)
\(284\) −1.42452e7 8.22444e6i −0.621888 0.359047i
\(285\) −3.99677e7 + 2.76669e6i −1.72653 + 0.119516i
\(286\) 2.86979e7 1.22674
\(287\) 20233.1 397641.i 0.000855888 0.0168208i
\(288\) −2.38981e7 + 1.86174e7i −1.00043 + 0.779364i
\(289\) −1.19575e7 2.07110e7i −0.495389 0.858039i
\(290\) −5.71519e7 3.29967e7i −2.34335 1.35293i
\(291\) −2.29339e7 + 1.54458e7i −0.930677 + 0.626802i
\(292\) 9.07186e6 + 1.57129e7i 0.364374 + 0.631115i
\(293\) 1.42296e7i 0.565705i −0.959163 0.282852i \(-0.908719\pi\)
0.959163 0.282852i \(-0.0912806\pi\)
\(294\) 1.78915e7 2.87821e7i 0.704052 1.13261i
\(295\) 6.68113e7 2.60246
\(296\) 459049. 265032.i 0.0177004 0.0102193i
\(297\) −5.41822e6 + 1.65571e7i −0.206817 + 0.631997i
\(298\) 392771. 680299.i 0.0148419 0.0257070i
\(299\) 1.48696e6 858495.i 0.0556269 0.0321162i
\(300\) 1.87607e7 + 9.16648e6i 0.694841 + 0.339499i
\(301\) −3.14638e7 1.60097e6i −1.15375 0.0587060i
\(302\) 9.06479e6i 0.329107i
\(303\) −5.90766e6 + 408946.i −0.212367 + 0.0147007i
\(304\) 2.01883e7 3.49671e7i 0.718585 1.24463i
\(305\) 1.20684e7 + 6.96769e6i 0.425353 + 0.245578i
\(306\) −1.37933e6 + 3.40024e6i −0.0481397 + 0.118671i
\(307\) −1.26849e7 −0.438400 −0.219200 0.975680i \(-0.570345\pi\)
−0.219200 + 0.975680i \(0.570345\pi\)
\(308\) 1.34666e7 6.88741e6i 0.460900 0.235724i
\(309\) 4.16091e7 + 2.03302e7i 1.41031 + 0.689075i
\(310\) −2.44092e7 4.22780e7i −0.819348 1.41915i
\(311\) −2.06912e7 1.19461e7i −0.687868 0.397141i 0.114945 0.993372i \(-0.463331\pi\)
−0.802813 + 0.596231i \(0.796664\pi\)
\(312\) −6.93263e6 1.02936e7i −0.228262 0.338925i
\(313\) 2.62841e6 + 4.55255e6i 0.0857158 + 0.148464i 0.905696 0.423928i \(-0.139349\pi\)
−0.819980 + 0.572392i \(0.806016\pi\)
\(314\) 3.04957e7i 0.985031i
\(315\) 3.85140e6 + 4.39609e7i 0.123222 + 1.40648i
\(316\) 1.83198e7 0.580577
\(317\) 3.38098e7 1.95201e7i 1.06136 0.612779i 0.135555 0.990770i \(-0.456718\pi\)
0.925809 + 0.377991i \(0.123385\pi\)
\(318\) 4.08427e6 2.75071e6i 0.127009 0.0855390i
\(319\) 1.55107e7 2.68654e7i 0.477816 0.827601i
\(320\) −2.07862e7 + 1.20009e7i −0.634346 + 0.366240i
\(321\) 2.62601e7 5.37457e7i 0.793929 1.62491i
\(322\) 1.12336e6 1.73560e6i 0.0336474 0.0519854i
\(323\) 3.96665e6i 0.117711i
\(324\) −2.54731e7 + 7.22711e6i −0.748938 + 0.212486i
\(325\) −2.35861e7 + 4.08523e7i −0.687078 + 1.19005i
\(326\) 4.23013e7 + 2.44227e7i 1.22096 + 0.704921i
\(327\) 95295.7 + 1.37665e6i 0.00272540 + 0.0393713i
\(328\) −175563. −0.00497521
\(329\) −1.68322e7 + 8.60872e6i −0.472666 + 0.241741i
\(330\) −1.97531e7 + 4.04279e7i −0.549659 + 1.12497i
\(331\) −1.81703e7 3.14718e7i −0.501045 0.867836i −0.999999 0.00120735i \(-0.999616\pi\)
0.498954 0.866628i \(-0.333718\pi\)
\(332\) 2.23580e7 + 1.29084e7i 0.610967 + 0.352742i
\(333\) 2.53057e6 352035.i 0.0685309 0.00953351i
\(334\) 2.22988e6 + 3.86227e6i 0.0598470 + 0.103658i
\(335\) 1.06420e7i 0.283066i
\(336\) −3.89157e7 2.15296e7i −1.02590 0.567568i
\(337\) −6.05675e7 −1.58252 −0.791262 0.611477i \(-0.790575\pi\)
−0.791262 + 0.611477i \(0.790575\pi\)
\(338\) −4.07415e7 + 2.35221e7i −1.05508 + 0.609153i
\(339\) 3.57220e7 + 5.30402e7i 0.916932 + 1.36146i
\(340\) −2.07424e6 + 3.59268e6i −0.0527742 + 0.0914075i
\(341\) 1.98736e7 1.14740e7i 0.501202 0.289369i
\(342\) 5.15857e7 4.01869e7i 1.28959 1.00463i
\(343\) 3.98852e7 + 6.13078e6i 0.988392 + 0.151926i
\(344\) 1.38916e7i 0.341254i
\(345\) 185909. + 2.68565e6i 0.00452734 + 0.0654022i
\(346\) 1.03514e7 1.79291e7i 0.249902 0.432843i
\(347\) 5.66844e6 + 3.27267e6i 0.135667 + 0.0783275i 0.566297 0.824201i \(-0.308375\pi\)
−0.430630 + 0.902528i \(0.641709\pi\)
\(348\) 4.70372e7 3.25606e6i 1.11610 0.0772599i
\(349\) −2.22302e7 −0.522959 −0.261480 0.965209i \(-0.584210\pi\)
−0.261480 + 0.965209i \(0.584210\pi\)
\(350\) −2.88640e6 + 5.67265e7i −0.0673214 + 1.32307i
\(351\) −1.23141e7 5.85380e7i −0.284762 1.35368i
\(352\) −1.83900e7 3.18525e7i −0.421652 0.730323i
\(353\) −4.26921e7 2.46483e7i −0.970561 0.560354i −0.0711539 0.997465i \(-0.522668\pi\)
−0.899407 + 0.437112i \(0.856001\pi\)
\(354\) −9.04491e7 + 6.09165e7i −2.03889 + 1.37317i
\(355\) 2.91323e7 + 5.04586e7i 0.651162 + 1.12785i
\(356\) 3.74874e7i 0.830874i
\(357\) −4.36848e6 + 79837.5i −0.0960121 + 0.00175470i
\(358\) −2.24366e7 −0.489000
\(359\) −1.95231e7 + 1.12717e7i −0.421955 + 0.243616i −0.695913 0.718126i \(-0.745000\pi\)
0.273959 + 0.961741i \(0.411667\pi\)
\(360\) 1.92728e7 2.68109e6i 0.413083 0.0574651i
\(361\) −1.18220e7 + 2.04763e7i −0.251286 + 0.435241i
\(362\) −4.02818e7 + 2.32567e7i −0.849147 + 0.490255i
\(363\) 2.39726e7 + 1.17130e7i 0.501182 + 0.244878i
\(364\) −2.82209e7 + 4.36014e7i −0.585149 + 0.904058i
\(365\) 6.42679e7i 1.32165i
\(366\) −2.26911e7 + 1.57075e6i −0.462821 + 0.0320378i
\(367\) 3.90163e7 6.75783e7i 0.789311 1.36713i −0.137078 0.990560i \(-0.543771\pi\)
0.926389 0.376567i \(-0.122896\pi\)
\(368\) −2.34963e6 1.35656e6i −0.0471472 0.0272205i
\(369\) −784162. 318100.i −0.0156073 0.00633119i
\(370\) 6.59896e6 0.130278
\(371\) 4.92230e6 + 3.18595e6i 0.0963933 + 0.0623903i
\(372\) 3.13382e7 + 1.53119e7i 0.608759 + 0.297440i
\(373\) 1.85187e7 + 3.20753e7i 0.356848 + 0.618079i 0.987432 0.158042i \(-0.0505181\pi\)
−0.630584 + 0.776121i \(0.717185\pi\)
\(374\) −3.85813e6 2.22749e6i −0.0737500 0.0425796i
\(375\) 275229. + 408661.i 0.00521916 + 0.00774943i
\(376\) 4.16820e6 + 7.21954e6i 0.0784125 + 0.135814i
\(377\) 1.06519e8i 1.98794i
\(378\) −4.52963e7 5.60027e7i −0.838662 1.03689i
\(379\) 8.17331e6 0.150134 0.0750672 0.997178i \(-0.476083\pi\)
0.0750672 + 0.997178i \(0.476083\pi\)
\(380\) 6.40253e7 3.69650e7i 1.16681 0.673660i
\(381\) 2.23558e7 1.50564e7i 0.404217 0.272236i
\(382\) 4.35607e7 7.54494e7i 0.781457 1.35352i
\(383\) 5.02164e7 2.89924e7i 0.893818 0.516046i 0.0186284 0.999826i \(-0.494070\pi\)
0.875189 + 0.483781i \(0.160737\pi\)
\(384\) −1.43254e7 + 2.93193e7i −0.252996 + 0.517797i
\(385\) −5.35084e7 2.72266e6i −0.937648 0.0477102i
\(386\) 1.51292e8i 2.63060i
\(387\) −2.51700e7 + 6.20477e7i −0.434261 + 1.07051i
\(388\) 2.55119e7 4.41879e7i 0.436765 0.756498i
\(389\) 6.34639e7 + 3.66409e7i 1.07815 + 0.622468i 0.930396 0.366557i \(-0.119463\pi\)
0.147750 + 0.989025i \(0.452797\pi\)
\(390\) −1.06696e7 1.54134e8i −0.179868 2.59838i
\(391\) −266541. −0.00445896
\(392\) 1.80610e6 1.77017e7i 0.0299836 0.293870i
\(393\) −2.36112e7 + 4.83243e7i −0.388992 + 0.796137i
\(394\) 3.94301e7 + 6.82950e7i 0.644673 + 1.11661i
\(395\) −5.61979e7 3.24458e7i −0.911861 0.526463i
\(396\) −4.42948e6 3.18410e7i −0.0713292 0.512745i
\(397\) −1.20492e7 2.08698e7i −0.192569 0.333539i 0.753532 0.657411i \(-0.228349\pi\)
−0.946101 + 0.323872i \(0.895015\pi\)
\(398\) 8.66776e7i 1.37486i
\(399\) 6.81323e7 + 3.76933e7i 1.07259 + 0.593397i
\(400\) 7.45395e7 1.16468
\(401\) −5.17591e6 + 2.98831e6i −0.0802701 + 0.0463439i −0.539598 0.841923i \(-0.681424\pi\)
0.459328 + 0.888267i \(0.348090\pi\)
\(402\) −9.70304e6 1.44071e7i −0.149358 0.221768i
\(403\) −3.93986e7 + 6.82404e7i −0.601958 + 1.04262i
\(404\) 9.46364e6 5.46383e6i 0.143521 0.0828616i
\(405\) 9.09409e7 + 2.29449e7i 1.36897 + 0.345400i
\(406\) 5.84023e7 + 1.14191e8i 0.872673 + 1.70630i
\(407\) 3.10197e6i 0.0460102i
\(408\) 133044. + 1.92197e6i 0.00195892 + 0.0282986i
\(409\) −2.79908e6 + 4.84814e6i −0.0409115 + 0.0708607i −0.885756 0.464151i \(-0.846359\pi\)
0.844845 + 0.535012i \(0.179693\pi\)
\(410\) −1.89283e6 1.09282e6i −0.0274637 0.0158562i
\(411\) −6.61178e7 + 4.57687e6i −0.952342 + 0.0659240i
\(412\) −8.54576e7 −1.22197
\(413\) −1.09008e8 7.05551e7i −1.54742 1.00156i
\(414\) −2.70038e6 3.46633e6i −0.0380561 0.0488504i
\(415\) −4.57235e7 7.91954e7i −0.639728 1.10804i
\(416\) 1.09373e8 + 6.31463e7i 1.51925 + 0.877137i
\(417\) 4.19559e7 2.82569e7i 0.578608 0.389687i
\(418\) 3.96962e7 + 6.87559e7i 0.543526 + 0.941415i
\(419\) 1.69985e7i 0.231084i 0.993303 + 0.115542i \(0.0368604\pi\)
−0.993303 + 0.115542i \(0.963140\pi\)
\(420\) −4.19984e7 6.97673e7i −0.566871 0.941681i
\(421\) 1.01292e7 0.135747 0.0678733 0.997694i \(-0.478379\pi\)
0.0678733 + 0.997694i \(0.478379\pi\)
\(422\) −6.79782e7 + 3.92473e7i −0.904550 + 0.522242i
\(423\) 5.53651e6 + 3.97987e7i 0.0731501 + 0.525834i
\(424\) 1.29270e6 2.23903e6i 0.0169591 0.0293739i
\(425\) 6.34180e6 3.66144e6i 0.0826125 0.0476963i
\(426\) −8.54459e7 4.17489e7i −1.10525 0.540027i
\(427\) −1.23324e7 2.41130e7i −0.158403 0.309719i
\(428\) 1.10384e8i 1.40791i
\(429\) 7.24535e7 5.01545e6i 0.917671 0.0635240i
\(430\) −8.64710e7 + 1.49772e8i −1.08759 + 1.88376i
\(431\) −3.31397e7 1.91332e7i −0.413921 0.238977i 0.278552 0.960421i \(-0.410146\pi\)
−0.692473 + 0.721444i \(0.743479\pi\)
\(432\) −7.03777e7 + 6.31011e7i −0.872938 + 0.782682i
\(433\) −4.54714e7 −0.560112 −0.280056 0.959984i \(-0.590353\pi\)
−0.280056 + 0.959984i \(0.590353\pi\)
\(434\) −4.82150e6 + 9.47569e7i −0.0589811 + 1.15916i
\(435\) −1.50058e8 7.33183e7i −1.82302 0.890727i
\(436\) −1.27322e6 2.20529e6i −0.0153619 0.0266076i
\(437\) 4.11365e6 + 2.37502e6i 0.0492928 + 0.0284592i
\(438\) 5.85976e7 + 8.70059e7i 0.697360 + 1.03544i
\(439\) −1.25464e7 2.17310e7i −0.148295 0.256854i 0.782303 0.622899i \(-0.214045\pi\)
−0.930597 + 0.366045i \(0.880712\pi\)
\(440\) 2.36246e7i 0.277336i
\(441\) 4.01404e7 7.57930e7i 0.468022 0.883717i
\(442\) 1.52972e7 0.177151
\(443\) 2.14827e7 1.24030e7i 0.247103 0.142665i −0.371334 0.928499i \(-0.621100\pi\)
0.618437 + 0.785835i \(0.287766\pi\)
\(444\) −3.91051e6 + 2.63369e6i −0.0446771 + 0.0300896i
\(445\) 6.63931e7 1.14996e8i 0.753430 1.30498i
\(446\) 4.37089e6 2.52354e6i 0.0492681 0.0284449i
\(447\) 872733. 1.78619e6i 0.00977145 0.0199989i
\(448\) 4.65878e7 + 2.37052e6i 0.518130 + 0.0263639i
\(449\) 1.43255e8i 1.58259i 0.611432 + 0.791297i \(0.290594\pi\)
−0.611432 + 0.791297i \(0.709406\pi\)
\(450\) 1.11867e8 + 4.53794e7i 1.22762 + 0.497991i
\(451\) 513704. 889761.i 0.00559993 0.00969937i
\(452\) −1.02195e8 5.90024e7i −1.10666 0.638931i
\(453\) 1.58423e6 + 2.28858e7i 0.0170421 + 0.246191i
\(454\) −8.69788e7 −0.929492
\(455\) 1.63792e8 8.37702e7i 1.73884 0.889314i
\(456\) 1.50724e7 3.08481e7i 0.158960 0.325337i
\(457\) 6.21429e7 + 1.07635e8i 0.651093 + 1.12773i 0.982858 + 0.184364i \(0.0590226\pi\)
−0.331765 + 0.943362i \(0.607644\pi\)
\(458\) 6.09686e7 + 3.52002e7i 0.634614 + 0.366395i
\(459\) −2.88814e6 + 8.82562e6i −0.0298662 + 0.0912657i
\(460\) −2.48388e6 4.30221e6i −0.0255187 0.0441996i
\(461\) 1.56669e8i 1.59912i −0.600588 0.799559i \(-0.705067\pi\)
0.600588 0.799559i \(-0.294933\pi\)
\(462\) 7.49221e7 4.51014e7i 0.759773 0.457367i
\(463\) 8.08752e6 0.0814840 0.0407420 0.999170i \(-0.487028\pi\)
0.0407420 + 0.999170i \(0.487028\pi\)
\(464\) 1.45767e8 8.41586e7i 1.45917 0.842451i
\(465\) −6.90146e7 1.02473e8i −0.686408 1.01918i
\(466\) 6.59544e7 1.14236e8i 0.651757 1.12888i
\(467\) −1.21690e8 + 7.02577e7i −1.19482 + 0.689832i −0.959397 0.282060i \(-0.908982\pi\)
−0.235427 + 0.971892i \(0.575649\pi\)
\(468\) 6.78385e7 + 8.70805e7i 0.661819 + 0.849539i
\(469\) 1.12383e7 1.73632e7i 0.108939 0.168311i
\(470\) 1.03783e8i 0.999614i
\(471\) −5.32965e6 7.69924e7i −0.0510077 0.736861i
\(472\) −2.86279e7 + 4.95849e7i −0.272247 + 0.471546i
\(473\) −7.04033e7 4.06474e7i −0.665288 0.384104i
\(474\) 1.05664e8 7.31436e6i 0.992181 0.0686818i
\(475\) −1.30501e8 −1.21768
\(476\) 7.17828e6 3.67128e6i 0.0665579 0.0340406i
\(477\) 9.83080e6 7.65851e6i 0.0905803 0.0705650i
\(478\) −4.18356e7 7.24614e7i −0.383056 0.663473i
\(479\) 1.14456e7 + 6.60811e6i 0.104143 + 0.0601272i 0.551167 0.834395i \(-0.314183\pi\)
−0.447024 + 0.894522i \(0.647516\pi\)
\(480\) −1.64239e8 + 1.10613e8i −1.48509 + 1.00019i
\(481\) −5.32565e6 9.22430e6i −0.0478561 0.0828893i
\(482\) 7.27914e7i 0.650038i
\(483\) 2.53282e6 4.57818e6i 0.0224783 0.0406305i
\(484\) −4.92354e7 −0.434252
\(485\) −1.56520e8 + 9.03671e7i −1.37197 + 0.792110i
\(486\) −1.44036e8 + 5.18544e7i −1.25477 + 0.451728i
\(487\) 9.77292e7 1.69272e8i 0.846131 1.46554i −0.0385041 0.999258i \(-0.512259\pi\)
0.884635 0.466284i \(-0.154407\pi\)
\(488\) −1.03423e7 + 5.97115e6i −0.0889937 + 0.0513805i
\(489\) 1.11066e8 + 5.42669e7i 0.949851 + 0.464097i
\(490\) 1.29660e8 1.79608e8i 1.10209 1.52664i
\(491\) 1.12575e8i 0.951034i 0.879707 + 0.475517i \(0.157739\pi\)
−0.879707 + 0.475517i \(0.842261\pi\)
\(492\) 1.55784e6 107838.i 0.0130806 0.000905476i
\(493\) 8.26787e6 1.43204e7i 0.0690006 0.119513i
\(494\) −2.36089e8 1.36306e8i −1.95837 1.13066i
\(495\) −4.28051e7 + 1.05520e8i −0.352923 + 0.870003i
\(496\) 1.24512e8 1.02039
\(497\) 5.75444e6 1.13092e8i 0.0468742 0.921218i
\(498\) 1.34109e8 + 6.55254e7i 1.08585 + 0.530544i
\(499\) 8.02290e7 + 1.38961e8i 0.645698 + 1.11838i 0.984140 + 0.177395i \(0.0567670\pi\)
−0.338441 + 0.940987i \(0.609900\pi\)
\(500\) −787388. 454599.i −0.00629910 0.00363679i
\(501\) 6.30477e6 + 9.36134e6i 0.0501367 + 0.0744432i
\(502\) −7.79305e7 1.34980e8i −0.616022 1.06698i
\(503\) 4.17030e7i 0.327690i −0.986486 0.163845i \(-0.947610\pi\)
0.986486 0.163845i \(-0.0523897\pi\)
\(504\) −3.42765e7 1.59784e7i −0.267735 0.124808i
\(505\) −3.87075e7 −0.300553
\(506\) 4.62008e6 2.66741e6i 0.0356614 0.0205891i
\(507\) −9.87491e7 + 6.65065e7i −0.757721 + 0.510317i
\(508\) −2.48687e7 + 4.30739e7i −0.189698 + 0.328566i
\(509\) 1.47010e8 8.48765e7i 1.11479 0.643627i 0.174727 0.984617i \(-0.444096\pi\)
0.940067 + 0.340990i \(0.110762\pi\)
\(510\) −1.05292e7 + 2.15498e7i −0.0793754 + 0.162455i
\(511\) −6.78692e7 + 1.04858e8i −0.508640 + 0.785850i
\(512\) 1.53078e8i 1.14052i
\(513\) 1.23215e8 1.10475e8i 0.912665 0.818301i
\(514\) −4.20788e7 + 7.28826e7i −0.309866 + 0.536704i
\(515\) 2.62150e8 + 1.51352e8i 1.91923 + 1.10807i
\(516\) −8.53281e6 1.23265e8i −0.0621073 0.897206i
\(517\) −4.87852e7 −0.353034
\(518\) −1.07667e7 6.96874e6i −0.0774631 0.0501378i
\(519\) 2.30007e7 4.70747e7i 0.164528 0.336733i
\(520\) −4.05601e7 7.02522e7i −0.288462 0.499632i
\(521\) 5.69389e7 + 3.28737e7i 0.402620 + 0.232453i 0.687614 0.726076i \(-0.258658\pi\)
−0.284994 + 0.958529i \(0.591991\pi\)
\(522\) 2.69998e8 3.75601e7i 1.89823 0.264068i
\(523\) −1.04627e7 1.81220e7i −0.0731374 0.126678i 0.827137 0.562000i \(-0.189968\pi\)
−0.900275 + 0.435322i \(0.856634\pi\)
\(524\) 9.92493e7i 0.689816i
\(525\) 2.62662e6 + 1.43722e8i 0.0181518 + 0.993217i
\(526\) 2.65741e8 1.82600
\(527\) 1.05935e7 6.11613e6i 0.0723779 0.0417874i
\(528\) −6.41074e7 9.51869e7i −0.435518 0.646659i
\(529\) −7.38584e7 + 1.27926e8i −0.498922 + 0.864158i
\(530\) 2.78745e7 1.60934e7i 0.187232 0.108098i
\(531\) −2.17710e8 + 1.69603e8i −1.45410 + 1.13279i
\(532\) −1.43499e8 7.30163e6i −0.953046 0.0484937i
\(533\) 3.52783e6i 0.0232984i
\(534\) 1.49672e7 + 2.16217e8i 0.0982916 + 1.41993i
\(535\) 1.95498e8 3.38613e8i 1.27668 2.21127i
\(536\) −7.89809e6 4.55997e6i −0.0512894 0.0296120i
\(537\) −5.66457e7 + 3.92118e6i −0.365800 + 0.0253218i
\(538\) −2.92133e8 −1.87600
\(539\) 8.44280e7 + 6.09490e7i 0.539163 + 0.389225i
\(540\) −1.69368e8 + 3.56285e7i −1.07560 + 0.226264i
\(541\) 5.74944e7 + 9.95832e7i 0.363106 + 0.628918i 0.988470 0.151415i \(-0.0483829\pi\)
−0.625364 + 0.780333i \(0.715050\pi\)
\(542\) 4.77176e7 + 2.75498e7i 0.299696 + 0.173029i
\(543\) −9.76347e7 + 6.57560e7i −0.609824 + 0.410711i
\(544\) −9.80265e6 1.69787e7i −0.0608901 0.105465i
\(545\) 9.01991e6i 0.0557202i
\(546\) −1.45362e8 + 2.62749e8i −0.893046 + 1.61422i
\(547\) −1.40074e8 −0.855849 −0.427924 0.903815i \(-0.640755\pi\)
−0.427924 + 0.903815i \(0.640755\pi\)
\(548\) 1.05916e8 6.11505e7i 0.643604 0.371585i
\(549\) −5.70136e7 + 7.93132e6i −0.344558 + 0.0479323i
\(550\) −7.32837e7 + 1.26931e8i −0.440473 + 0.762921i
\(551\) −2.55204e8 + 1.47342e8i −1.52557 + 0.880790i
\(552\) −2.07285e6 1.01280e6i −0.0123240 0.00602150i
\(553\) 5.74273e7 + 1.12285e8i 0.339581 + 0.663967i
\(554\) 1.93890e8i 1.14032i
\(555\) 1.66604e7 1.15328e6i 0.0974553 0.00674615i
\(556\) −4.66721e7 + 8.08384e7i −0.271539 + 0.470320i
\(557\) 1.57185e8 + 9.07506e7i 0.909588 + 0.525151i 0.880299 0.474420i \(-0.157342\pi\)
0.0292895 + 0.999571i \(0.490676\pi\)
\(558\) 1.86864e8 + 7.58026e7i 1.07553 + 0.436296i
\(559\) 2.79144e8 1.59806
\(560\) −2.44045e8 1.57957e8i −1.38965 0.899447i
\(561\) −1.01299e7 4.94946e6i −0.0573741 0.0280330i
\(562\) −1.86278e8 3.22643e8i −1.04943 1.81766i
\(563\) −4.14625e7 2.39384e7i −0.232343 0.134143i 0.379309 0.925270i \(-0.376162\pi\)
−0.611653 + 0.791127i \(0.709495\pi\)
\(564\) −4.14205e7 6.15013e7i −0.230876 0.342805i
\(565\) 2.08996e8 + 3.61991e8i 1.15876 + 2.00702i
\(566\) 5.19038e7i 0.286253i
\(567\) −1.24147e8 1.33473e8i −0.681061 0.732227i
\(568\) −4.99314e7 −0.272476
\(569\) −1.04058e8 + 6.00781e7i −0.564859 + 0.326121i −0.755093 0.655617i \(-0.772408\pi\)
0.190235 + 0.981739i \(0.439075\pi\)
\(570\) 3.54522e8 2.38767e8i 1.91434 1.28929i
\(571\) −1.45541e8 + 2.52085e8i −0.781769 + 1.35406i 0.149141 + 0.988816i \(0.452349\pi\)
−0.930910 + 0.365248i \(0.880984\pi\)
\(572\) −1.16065e8 + 6.70102e7i −0.620174 + 0.358057i
\(573\) 9.67916e7 1.98100e8i 0.514486 1.05298i
\(574\) 1.93424e6 + 3.78193e6i 0.0102276 + 0.0199976i
\(575\) 8.76910e6i 0.0461266i
\(576\) 3.72688e7 9.18728e7i 0.195020 0.480750i
\(577\) −3.50380e6 + 6.06877e6i −0.0182395 + 0.0315917i −0.875001 0.484121i \(-0.839139\pi\)
0.856762 + 0.515713i \(0.172473\pi\)
\(578\) 2.20962e8 + 1.27572e8i 1.14428 + 0.660653i
\(579\) −2.64409e7 3.81967e8i −0.136220 1.96784i
\(580\) 3.08192e8 1.57956
\(581\) −9.03167e6 + 1.77499e8i −0.0460511 + 0.905042i
\(582\) 1.29503e8 2.65050e8i 0.656919 1.34449i
\(583\) 7.56499e6 + 1.31030e7i 0.0381771 + 0.0661247i
\(584\) 4.76973e7 + 2.75381e7i 0.239472 + 0.138259i
\(585\) −5.38749e7 3.87276e8i −0.269103 1.93443i
\(586\) 7.59066e7 + 1.31474e8i 0.377213 + 0.653352i
\(587\) 5.84714e7i 0.289087i −0.989498 0.144544i \(-0.953829\pi\)
0.989498 0.144544i \(-0.0461714\pi\)
\(588\) −5.15308e6 + 1.58183e8i −0.0253475 + 0.778085i
\(589\) −2.17992e8 −1.06683
\(590\) −6.17301e8 + 3.56399e8i −3.00567 + 1.73532i
\(591\) 1.11485e8 + 1.65533e8i 0.540074 + 0.801904i
\(592\) −8.41538e6 + 1.45759e7i −0.0405610 + 0.0702537i
\(593\) 2.64996e8 1.52995e8i 1.27079 0.733693i 0.295656 0.955294i \(-0.404462\pi\)
0.975137 + 0.221601i \(0.0711283\pi\)
\(594\) −3.82609e7 1.81882e8i −0.182556 0.867821i
\(595\) −2.85222e7 1.45129e6i −0.135404 0.00688976i
\(596\) 3.66851e6i 0.0173281i
\(597\) −1.51484e7 2.18835e8i −0.0711940 1.02847i
\(598\) −9.15914e6 + 1.58641e7i −0.0428303 + 0.0741843i
\(599\) −3.21383e8 1.85551e8i −1.49535 0.863341i −0.495364 0.868686i \(-0.664965\pi\)
−0.999986 + 0.00534498i \(0.998299\pi\)
\(600\) 6.32320e7 4.37711e6i 0.292741 0.0202644i
\(601\) 3.43605e8 1.58284 0.791418 0.611275i \(-0.209343\pi\)
0.791418 + 0.611275i \(0.209343\pi\)
\(602\) 2.99249e8 1.53049e8i 1.37165 0.701520i
\(603\) −2.70151e7 3.46778e7i −0.123213 0.158161i
\(604\) −2.11665e7 3.66614e7i −0.0960589 0.166379i
\(605\) 1.51034e8 + 8.71998e7i 0.682040 + 0.393776i
\(606\) 5.24022e7 3.52924e7i 0.235468 0.158585i
\(607\) −1.75975e8 3.04797e8i −0.786836 1.36284i −0.927896 0.372839i \(-0.878384\pi\)
0.141060 0.990001i \(-0.454949\pi\)
\(608\) 3.49387e8i 1.55452i
\(609\) 1.67405e8 + 2.78091e8i 0.741167 + 1.23122i
\(610\) −1.48674e8 −0.655007
\(611\) 1.45072e8 8.37574e7i 0.636005 0.367198i
\(612\) −2.36110e6 1.69726e7i −0.0103005 0.0740447i
\(613\) 1.43728e8 2.48944e8i 0.623964 1.08074i −0.364776 0.931095i \(-0.618854\pi\)
0.988740 0.149643i \(-0.0478123\pi\)
\(614\) 1.17201e8 6.76663e7i 0.506323 0.292326i
\(615\) −4.96981e6 2.42825e6i −0.0213655 0.0104392i
\(616\) 2.49484e7 3.85454e7i 0.106733 0.164904i
\(617\) 4.41540e8i 1.87981i −0.341432 0.939907i \(-0.610912\pi\)
0.341432 0.939907i \(-0.389088\pi\)
\(618\) −4.92896e8 + 3.41198e7i −2.08829 + 0.144558i
\(619\) 4.35278e7 7.53924e7i 0.183525 0.317875i −0.759554 0.650445i \(-0.774583\pi\)
0.943078 + 0.332570i \(0.107916\pi\)
\(620\) 1.97440e8 + 1.13992e8i 0.828438 + 0.478299i
\(621\) −7.42344e6 8.27948e6i −0.0309978 0.0345723i
\(622\) 2.54901e8 1.05926
\(623\) −2.29766e8 + 1.17512e8i −0.950214 + 0.485980i
\(624\) 3.54059e8 + 1.72993e8i 1.45721 + 0.711991i
\(625\) 1.22873e8 + 2.12822e8i 0.503287 + 0.871718i
\(626\) −4.85703e7 2.80421e7i −0.197992 0.114311i
\(627\) 1.12237e8 + 1.66650e8i 0.455338 + 0.676088i
\(628\) 7.12081e7 + 1.23336e8i 0.287509 + 0.497979i
\(629\) 1.65348e6i 0.00664427i
\(630\) −2.70091e8 3.85631e8i −1.08016 1.54223i
\(631\) 2.13712e8 0.850630 0.425315 0.905045i \(-0.360163\pi\)
0.425315 + 0.905045i \(0.360163\pi\)
\(632\) 4.81603e7 2.78054e7i 0.190782 0.110148i
\(633\) −1.64765e8 + 1.10968e8i −0.649613 + 0.437508i
\(634\) −2.08256e8 + 3.60710e8i −0.817204 + 1.41544i
\(635\) 1.52575e8 8.80890e7i 0.595883 0.344033i
\(636\) −1.00953e7 + 2.06618e7i −0.0392419 + 0.0803149i
\(637\) −3.55704e8 3.62924e7i −1.37617 0.140410i
\(638\) 3.30963e8i 1.27443i
\(639\) −2.23021e8 9.04700e7i −0.854759 0.346739i
\(640\) −1.06648e8 + 1.84720e8i −0.406830 + 0.704651i
\(641\) −2.78216e8 1.60628e8i −1.05635 0.609884i −0.131930 0.991259i \(-0.542117\pi\)
−0.924420 + 0.381375i \(0.875451\pi\)
\(642\) 4.40718e7 + 6.36664e8i 0.166554 + 2.40605i
\(643\) −1.70144e8 −0.640005 −0.320002 0.947417i \(-0.603684\pi\)
−0.320002 + 0.947417i \(0.603684\pi\)
\(644\) −490637. + 9.64248e6i −0.00183697 + 0.0361020i
\(645\) −1.92138e8 + 3.93241e8i −0.716034 + 1.46548i
\(646\) 2.11598e7 + 3.66498e7i 0.0784898 + 0.135948i
\(647\) −4.37973e8 2.52864e8i −1.61709 0.933628i −0.987667 0.156566i \(-0.949957\pi\)
−0.629424 0.777062i \(-0.716709\pi\)
\(648\) −5.59961e7 + 5.76614e7i −0.205794 + 0.211914i
\(649\) −1.67532e8 2.90174e8i −0.612864 1.06151i
\(650\) 5.03272e8i 1.83258i
\(651\) 4.38756e6 + 2.40075e8i 0.0159030 + 0.870170i
\(652\) −2.28110e8 −0.823002
\(653\) 1.36038e8 7.85415e7i 0.488563 0.282072i −0.235415 0.971895i \(-0.575645\pi\)
0.723978 + 0.689823i \(0.242312\pi\)
\(654\) −8.22409e6 1.22112e7i −0.0294005 0.0436539i
\(655\) −1.75778e8 + 3.04457e8i −0.625520 + 1.08343i
\(656\) 4.82769e6 2.78727e6i 0.0171013 0.00987341i
\(657\) 1.63147e8 + 2.09422e8i 0.575284 + 0.738460i
\(658\) 1.09599e8 1.69330e8i 0.384704 0.594370i
\(659\) 2.30514e8i 0.805454i 0.915320 + 0.402727i \(0.131938\pi\)
−0.915320 + 0.402727i \(0.868062\pi\)
\(660\) −1.45112e7 2.09630e8i −0.0504744 0.729156i
\(661\) 8.24137e7 1.42745e8i 0.285361 0.494260i −0.687335 0.726340i \(-0.741220\pi\)
0.972697 + 0.232080i \(0.0745531\pi\)
\(662\) 3.35767e8 + 1.93855e8i 1.15735 + 0.668196i
\(663\) 3.86207e7 2.67344e6i 0.132520 0.00917340i
\(664\) 7.83680e7 0.267692
\(665\) 4.27265e8 + 2.76546e8i 1.45289 + 0.940379i
\(666\) −2.15033e7 + 1.67517e7i −0.0727917 + 0.0567071i
\(667\) 9.90072e6 + 1.71486e7i 0.0333649 + 0.0577897i
\(668\) −1.80370e7 1.04136e7i −0.0605109 0.0349360i
\(669\) 1.05941e7 7.13505e6i 0.0353824 0.0238297i
\(670\) −5.67687e7 9.83263e7i −0.188749 0.326923i
\(671\) 6.98872e7i 0.231329i
\(672\) 3.84781e8 7.03218e6i 1.26796 0.0231730i
\(673\) 3.03336e8 0.995129 0.497564 0.867427i \(-0.334228\pi\)
0.497564 + 0.867427i \(0.334228\pi\)
\(674\) 5.59612e8 3.23092e8i 1.82771 1.05523i
\(675\) 2.90360e8 + 9.50186e7i 0.944116 + 0.308957i
\(676\) 1.09849e8 1.90265e8i 0.355596 0.615911i
\(677\) −5.14602e8 + 2.97105e8i −1.65846 + 0.957513i −0.685035 + 0.728510i \(0.740213\pi\)
−0.973426 + 0.229002i \(0.926454\pi\)
\(678\) −6.12991e8 2.99507e8i −1.96682 0.960989i
\(679\) 3.50807e8 + 1.78500e7i 1.12062 + 0.0570203i
\(680\) 1.25929e7i 0.0400496i
\(681\) −2.19595e8 + 1.52010e7i −0.695314 + 0.0481317i
\(682\) −1.22414e8 + 2.12028e8i −0.385904 + 0.668405i
\(683\) −6.14652e7 3.54870e7i −0.192916 0.111380i 0.400431 0.916327i \(-0.368860\pi\)
−0.593347 + 0.804947i \(0.702194\pi\)
\(684\) −1.14795e8 + 2.82985e8i −0.358718 + 0.884290i
\(685\) −4.33209e8 −1.34780
\(686\) −4.01222e8 + 1.56119e8i −1.24283 + 0.483596i
\(687\) 1.60079e8 + 7.82146e7i 0.493701 + 0.241222i
\(688\) −2.20546e8 3.81996e8i −0.677225 1.17299i
\(689\) −4.49919e7 2.59761e7i −0.137555 0.0794175i
\(690\) −1.60441e7 2.38223e7i −0.0488391 0.0725164i
\(691\) −1.53091e8 2.65162e8i −0.463998 0.803668i 0.535158 0.844752i \(-0.320252\pi\)
−0.999156 + 0.0410845i \(0.986919\pi\)
\(692\) 9.66828e7i 0.291763i
\(693\) 1.81273e8 1.26961e8i 0.544671 0.381480i
\(694\) −6.98312e7 −0.208916
\(695\) 2.86343e8 1.65320e8i 0.852965 0.492460i
\(696\) 1.18712e8 7.99516e7i 0.352102 0.237137i
\(697\) 273826. 474280.i 0.000808678 0.00140067i
\(698\) 2.05396e8 1.18585e8i 0.603983 0.348710i
\(699\) 1.46550e8 2.99939e8i 0.429096 0.878215i
\(700\) −1.20784e8 2.36163e8i −0.352139 0.688522i
\(701\) 1.36696e8i 0.396829i 0.980118 + 0.198414i \(0.0635791\pi\)
−0.980118 + 0.198414i \(0.936421\pi\)
\(702\) 4.26042e8 + 4.75172e8i 1.23152 + 1.37353i
\(703\) 1.47334e7 2.55189e7i 0.0424069 0.0734508i
\(704\) 1.04245e8 + 6.01858e7i 0.298770 + 0.172495i
\(705\) 1.81378e7 + 2.62020e8i 0.0517628 + 0.747769i
\(706\) 5.25936e8 1.49458
\(707\) 6.31544e7 + 4.08765e7i 0.178709 + 0.115669i
\(708\) 2.23568e8 4.57570e8i 0.629957 1.28931i
\(709\) −1.89589e8 3.28378e8i −0.531954 0.921372i −0.999304 0.0372996i \(-0.988124\pi\)
0.467350 0.884073i \(-0.345209\pi\)
\(710\) −5.38334e8 3.10807e8i −1.50410 0.868392i
\(711\) 2.65491e8 3.69331e7i 0.738653 0.102756i
\(712\) 5.68974e7 + 9.85491e7i 0.157635 + 0.273032i
\(713\) 1.46481e7i 0.0404121i
\(714\) 3.99366e7 2.40410e7i 0.109718 0.0660476i
\(715\) 4.74721e8 1.29874
\(716\) 9.07421e7 5.23900e7i 0.247212 0.142728i
\(717\) −1.18286e8 1.75631e8i −0.320905 0.476480i
\(718\) 1.20256e8 2.08289e8i 0.324887 0.562720i
\(719\) 8.54115e7 4.93123e7i 0.229789 0.132669i −0.380686 0.924705i \(-0.624312\pi\)
0.610475 + 0.792036i \(0.290979\pi\)
\(720\) −4.87405e8 + 3.79704e8i −1.30585 + 1.01730i
\(721\) −2.67885e8 5.23783e8i −0.714730 1.39748i
\(722\) 2.52254e8i 0.670233i
\(723\) 1.27215e7 + 1.83776e8i 0.0336608 + 0.486266i
\(724\) 1.08610e8 1.88118e8i 0.286189 0.495694i
\(725\) −4.71135e8 2.72010e8i −1.23632 0.713791i
\(726\) −2.83977e8 + 1.96577e7i −0.742117 + 0.0513716i
\(727\) 2.45207e8 0.638159 0.319079 0.947728i \(-0.396626\pi\)
0.319079 + 0.947728i \(0.396626\pi\)
\(728\) −8.01176e6 + 1.57455e8i −0.0207651 + 0.408096i
\(729\) −3.54585e8 + 1.56089e8i −0.915247 + 0.402894i
\(730\) 3.42832e8 + 5.93802e8i 0.881277 + 1.52642i
\(731\) −3.75279e7 2.16667e7i −0.0960732 0.0554679i
\(732\) 8.81036e7 5.93369e7i 0.224626 0.151284i
\(733\) 2.36745e8 + 4.10054e8i 0.601130 + 1.04119i 0.992650 + 0.121018i \(0.0386160\pi\)
−0.391520 + 0.920170i \(0.628051\pi\)
\(734\) 8.32517e8i 2.10526i
\(735\) 2.95962e8 4.76115e8i 0.745373 1.19908i
\(736\) 2.34772e7 0.0588862
\(737\) 4.62202e7 2.66852e7i 0.115459 0.0666605i
\(738\) 8.94212e6 1.24396e6i 0.0222470 0.00309484i
\(739\) −2.61731e8 + 4.53331e8i −0.648518 + 1.12327i 0.334960 + 0.942233i \(0.391277\pi\)
−0.983477 + 0.181033i \(0.942056\pi\)
\(740\) −2.66887e7 + 1.54087e7i −0.0658615 + 0.0380252i
\(741\) −6.19874e8 3.02870e8i −1.52352 0.744393i
\(742\) −6.24747e7 3.17889e6i −0.152930 0.00778150i
\(743\) 1.70732e8i 0.416244i 0.978103 + 0.208122i \(0.0667352\pi\)
−0.978103 + 0.208122i \(0.933265\pi\)
\(744\) 1.05624e8 7.31160e6i 0.256474 0.0177539i
\(745\) 6.49723e6 1.12535e7i 0.0157130 0.0272157i
\(746\) −3.42206e8 1.97572e8i −0.824272 0.475894i
\(747\) 3.50035e8 + 1.41994e8i 0.839749 + 0.340650i
\(748\) 2.08050e7 0.0497121
\(749\) −6.76559e8 + 3.46021e8i −1.61013 + 0.823488i
\(750\) −4.72294e6 2.30763e6i −0.0111951 0.00546994i
\(751\) 2.99617e8 + 5.18951e8i 0.707369 + 1.22520i 0.965830 + 0.259177i \(0.0834515\pi\)
−0.258461 + 0.966022i \(0.583215\pi\)
\(752\) −2.29237e8 1.32350e8i −0.539053 0.311222i
\(753\) −2.20341e8 3.27163e8i −0.516071 0.766265i
\(754\) −5.68217e8 9.84181e8i −1.32556 2.29594i
\(755\) 1.49950e8i 0.348422i
\(756\) 3.13962e8 + 1.20728e8i 0.726628 + 0.279410i
\(757\) −3.23640e8 −0.746061 −0.373030 0.927819i \(-0.621681\pi\)
−0.373030 + 0.927819i \(0.621681\pi\)
\(758\) −7.55171e7 + 4.35998e7i −0.173395 + 0.100110i
\(759\) 1.11981e7 7.54183e6i 0.0256106 0.0172485i
\(760\) 1.12209e8 1.94352e8i 0.255616 0.442740i
\(761\) 4.72894e8 2.73025e8i 1.07302 0.619511i 0.144018 0.989575i \(-0.453998\pi\)
0.929006 + 0.370064i \(0.120664\pi\)
\(762\) −1.26239e8 + 2.58368e8i −0.285317 + 0.583947i
\(763\) 9.52536e6 1.47167e7i 0.0214441 0.0331312i
\(764\) 4.06861e8i 0.912359i
\(765\) −2.28169e7 + 5.62468e7i −0.0509650 + 0.125636i
\(766\)