Properties

Label 21.7.h.a.2.12
Level $21$
Weight $7$
Character 21.2
Analytic conductor $4.831$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 21.2
Dual form 21.7.h.a.11.12

$q$-expansion

\(f(q)\) \(=\) \(q+(9.23947 + 5.33441i) q^{2} +(-1.86456 - 26.9355i) q^{3} +(24.9119 + 43.1487i) q^{4} +(152.840 + 88.2420i) q^{5} +(126.458 - 258.817i) q^{6} +(342.557 - 17.4303i) q^{7} -151.243i q^{8} +(-722.047 + 100.446i) q^{9} +O(q^{10})\) \(q+(9.23947 + 5.33441i) q^{2} +(-1.86456 - 26.9355i) 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} +(-722.047 + 100.446i) q^{9} +(941.439 + 1630.62i) q^{10} +(-766.504 + 442.541i) q^{11} +(1115.78 - 751.470i) 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} +(-7207.15 - 2923.63i) q^{18} +(-4203.86 + 7281.30i) q^{19} +8793.11i q^{20} +(-1108.21 - 9194.45i) q^{21} -9442.80 q^{22} +(489.271 + 282.481i) q^{23} +(-4073.81 + 282.001i) 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} +(42166.3 - 28398.5i) q^{30} +(12963.8 + 22453.9i) q^{31} +(35988.1 - 20777.7i) q^{32} +(13349.3 + 19821.1i) 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} +(5666.64 + 81860.6i) q^{39} +(13346.0 - 23115.9i) q^{40} -1160.80i q^{41} +(38807.7 - 90863.6i) q^{42} -91849.8 q^{43} +(-38190.2 - 22049.1i) q^{44} +(-119221. - 48362.8i) 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} +(7115.73 + 10565.5i) q^{51} +(-75710.6 - 131135. i) q^{52} +(-14804.2 + 8547.21i) q^{53} +(-65311.4 + 199580. 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} +(236847. - 16395.3i) q^{60} +(-39480.6 + 68382.4i) q^{61} +276617. i q^{62} +(-245591. + 46993.9i) q^{63} +136000. q^{64} +(-464500. - 268179. i) q^{65} +(17606.7 + 254347. 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} +(15191.7 + 109204. i) q^{72} +(-182079. - 315369. i) q^{73} +(32381.8 - 18695.6i) q^{74} +(347600. - 234105. 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} +(511262. - 145053. i) q^{81} +(6192.20 - 10725.2i) q^{82} +518160. i q^{83} +(369121. - 276870. i) q^{84} -83262.7 q^{85} +(-848644. - 489965. i) q^{86} +(-944070. + 65351.3i) 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} +(580637. - 391053. i) q^{93} +(294029. + 509274. i) q^{94} +(-1.28503e6 + 741915. i) q^{95} +(-626762. - 930618. i) 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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 9.23947 + 5.33441i 1.15493 + 0.666802i 0.950085 0.311992i \(-0.100996\pi\)
0.204850 + 0.978793i \(0.434329\pi\)
\(3\) −1.86456 26.9355i −0.0690577 0.997613i
\(4\) 24.9119 + 43.1487i 0.389249 + 0.674199i
\(5\) 152.840 + 88.2420i 1.22272 + 0.705936i 0.965496 0.260417i \(-0.0838599\pi\)
0.257221 + 0.966353i \(0.417193\pi\)
\(6\) 126.458 258.817i 0.585453 1.19822i
\(7\) 342.557 17.4303i 0.998708 0.0508171i
\(8\) 151.243i 0.295396i
\(9\) −722.047 + 100.446i −0.990462 + 0.137786i
\(10\) 941.439 + 1630.62i 0.941439 + 1.63062i
\(11\) −766.504 + 442.541i −0.575886 + 0.332488i −0.759497 0.650511i \(-0.774555\pi\)
0.183611 + 0.982999i \(0.441221\pi\)
\(12\) 1115.78 751.470i 0.645709 0.434878i
\(13\) −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 \(-0.681956\pi\)
0.457842 + 0.889034i \(0.348623\pi\)
\(18\) −7207.15 2923.63i −1.23579 0.501308i
\(19\) −4203.86 + 7281.30i −0.612897 + 1.06157i 0.377852 + 0.925866i \(0.376663\pi\)
−0.990750 + 0.135703i \(0.956671\pi\)
\(20\) 8793.11i 1.09914i
\(21\) −1108.21 9194.45i −0.119664 0.992814i
\(22\) −9442.80 −0.886814
\(23\) 489.271 + 282.481i 0.0402129 + 0.0232169i 0.519972 0.854183i \(-0.325942\pi\)
−0.479759 + 0.877400i \(0.659276\pi\)
\(24\) −4073.81 + 282.001i −0.294691 + 0.0203994i
\(25\) 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 \(-0.255192\pi\)
\(30\) 42166.3 28398.5i 1.56171 1.05180i
\(31\) 12963.8 + 22453.9i 0.435158 + 0.753715i 0.997308 0.0733197i \(-0.0233593\pi\)
−0.562151 + 0.827035i \(0.690026\pi\)
\(32\) 35988.1 20777.7i 1.09827 0.634086i
\(33\) 13349.3 + 19821.1i 0.371464 + 0.551550i
\(34\) −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 −0.848209 0.529661i \(-0.822319\pi\)
0.882805 + 0.469740i \(0.155652\pi\)
\(38\) −77683.0 + 44850.3i −1.41571 + 0.817362i
\(39\) 5666.64 + 81860.6i 0.0955282 + 1.38001i
\(40\) 13346.0 23115.9i 0.208531 0.361186i
\(41\) 1160.80i 0.0168425i −0.999965 0.00842126i \(-0.997319\pi\)
0.999965 0.00842126i \(-0.00268060\pi\)
\(42\) 38807.7 90863.6i 0.523806 1.22643i
\(43\) −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
\(45\) −119221. 48362.8i −1.30832 0.530730i
\(46\) 3013.74 + 5219.94i 0.0309622 + 0.0536281i
\(47\) 47734.7 + 27559.7i 0.459770 + 0.265449i 0.711948 0.702232i \(-0.247813\pi\)
−0.252177 + 0.967681i \(0.581147\pi\)
\(48\) −116500. 56921.9i −1.05342 0.514701i
\(49\) 117041. 11941.7i 0.994835 0.101503i
\(50\) 165597.i 1.32478i
\(51\) 7115.73 + 10565.5i 0.0536425 + 0.0796485i
\(52\) −75710.6 131135.i −0.538452 0.932626i
\(53\) −14804.2 + 8547.21i −0.0994392 + 0.0574112i −0.548895 0.835891i \(-0.684951\pi\)
0.449456 + 0.893303i \(0.351618\pi\)
\(54\) −65311.4 + 199580.i −0.414770 + 1.26746i
\(55\) −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 0.604128 0.796888i \(-0.293522\pi\)
0.992189 0.124746i \(-0.0398116\pi\)
\(60\) 236847. 16395.3i 1.09652 0.0759041i
\(61\) −39480.6 + 68382.4i −0.173938 + 0.301269i −0.939793 0.341744i \(-0.888983\pi\)
0.765855 + 0.643013i \(0.222316\pi\)
\(62\) 276617.i 1.16066i
\(63\) −245591. + 46993.9i −0.982180 + 0.187940i
\(64\) 136000. 0.518800
\(65\) −464500. 268179.i −1.69140 0.976528i
\(66\) 17606.7 + 254347.i 0.0612414 + 0.884697i
\(67\) 30150.0 + 52221.3i 0.100245 + 0.173629i 0.911786 0.410667i \(-0.134704\pi\)
−0.811541 + 0.584296i \(0.801371\pi\)
\(68\) −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 \(-0.152583\pi\)
\(72\) 15191.7 + 109204.i 0.0407014 + 0.292579i
\(73\) −182079. 315369.i −0.468048 0.810683i 0.531285 0.847193i \(-0.321709\pi\)
−0.999333 + 0.0365102i \(0.988376\pi\)
\(74\) 32381.8 18695.6i 0.0799108 0.0461365i
\(75\) 347600. 234105.i 0.823940 0.554915i
\(76\) −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 −0.617125 0.786865i \(-0.711703\pi\)
0.990008 + 0.141013i \(0.0450360\pi\)
\(80\) 733983. 423765.i 1.43356 0.827667i
\(81\) 511262. 145053.i 0.962030 0.272943i
\(82\) 6192.20 10725.2i 0.0112306 0.0194520i
\(83\) 518160.i 0.906212i 0.891457 + 0.453106i \(0.149684\pi\)
−0.891457 + 0.453106i \(0.850316\pi\)
\(84\) 369121. 276870.i 0.622775 0.467129i
\(85\) −83262.7 −0.135579
\(86\) −848644. 489965.i −1.33423 0.770317i
\(87\) −944070. + 65351.3i −1.43366 + 0.0992423i
\(88\) 66931.2 + 115928.i 0.0982156 + 0.170114i
\(89\) 651596. + 376199.i 0.924290 + 0.533639i 0.885001 0.465589i \(-0.154157\pi\)
0.0392888 + 0.999228i \(0.487491\pi\)
\(90\) −843552. 1.08282e6i −1.15714 1.48535i
\(91\) −1.04108e6 + 52972.9i −1.38152 + 0.0702958i
\(92\) 28148.5i 0.0361487i
\(93\) 580637. 391053.i 0.721865 0.486169i
\(94\) 294029. + 509274.i 0.354003 + 0.613151i
\(95\) −1.28503e6 + 741915.i −1.49880 + 0.865333i
\(96\) −626762. 930618.i −0.708416 1.05186i
\(97\) 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 \(-0.700611\pi\)
0.404982 + 0.914325i \(0.367278\pi\)
\(102\) 9385.08 + 135578.i 0.00884377 + 0.127758i
\(103\) −857597. + 1.48540e6i −0.784823 + 1.35935i 0.144282 + 0.989537i \(0.453913\pi\)
−0.929105 + 0.369816i \(0.879421\pi\)
\(104\) 459647.i 0.408624i
\(105\) 641958. 1.50307e6i 0.554548 1.29841i
\(106\) −182378. −0.153128
\(107\) 1.91866e6 + 1.10774e6i 1.56620 + 0.904246i 0.996606 + 0.0823201i \(0.0262330\pi\)
0.569594 + 0.821926i \(0.307100\pi\)
\(108\) −730167. + 654672.i −0.579630 + 0.519700i
\(109\) 25554.5 + 44261.7i 0.0197328 + 0.0341781i 0.875723 0.482814i \(-0.160385\pi\)
−0.855990 + 0.516992i \(0.827052\pi\)
\(110\) −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 \(-0.306429\pi\)
\(114\) 1.35291e6 + 2.00881e6i 0.913177 + 1.35589i
\(115\) 49853.3 + 86348.4i 0.0327794 + 0.0567755i
\(116\) 1.51233e6 873144.i 0.968885 0.559386i
\(117\) 2.19439e6 305268.i 1.37012 0.190600i
\(118\) 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
\(123\) −31266.9 + 2164.39i −0.0168023 + 0.00116311i
\(124\) −645905. + 1.11874e6i −0.338769 + 0.586765i
\(125\) 18248.2i 0.00934309i
\(126\) −2.51982e6 875887.i −1.25967 0.437861i
\(127\) −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
\(129\) 171259. + 2.47402e6i 0.0797784 + 1.15248i
\(130\) −2.86116e6 4.95567e6i −1.30230 2.25565i
\(131\) −1.72512e6 996001.i −0.767373 0.443043i 0.0645636 0.997914i \(-0.479434\pi\)
−0.831937 + 0.554870i \(0.812768\pi\)
\(132\) −522697. + 1.06979e6i −0.227263 + 0.465131i
\(133\) −1.31315e6 + 2.56754e6i −0.558160 + 1.09134i
\(134\) 643330.i 0.267374i
\(135\) −1.08038e6 + 3.30145e6i −0.439113 + 1.34185i
\(136\) 35677.1 + 61794.6i 0.0141832 + 0.0245660i
\(137\) −2.12580e6 + 1.22733e6i −0.826726 + 0.477310i −0.852730 0.522351i \(-0.825055\pi\)
0.0260045 + 0.999662i \(0.491722\pi\)
\(138\) 134983. 90909.5i 0.0513619 0.0345917i
\(139\) −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
\(144\) −1.31600e6 + 3.24412e6i −0.440726 + 1.08645i
\(145\) 3.09281e6 5.35691e6i 1.01449 1.75716i
\(146\) 3.88513e6i 1.24838i
\(147\) −539887. 3.13031e6i −0.169962 0.985451i
\(148\) 174619. 0.0538649
\(149\) 63765.1 + 36814.8i 0.0192763 + 0.0111292i 0.509607 0.860407i \(-0.329791\pi\)
−0.490331 + 0.871536i \(0.663124\pi\)
\(150\) 4.46045e6 308766.i 1.32162 0.0914862i
\(151\) 424826. + 735820.i 0.123390 + 0.213718i 0.921102 0.389320i \(-0.127290\pi\)
−0.797712 + 0.603038i \(0.793957\pi\)
\(152\) 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
\(156\) −3.39102e6 + 2.28381e6i −0.893215 + 0.601571i
\(157\) −1.42920e6 2.47544e6i −0.369312 0.639667i 0.620146 0.784486i \(-0.287073\pi\)
−0.989458 + 0.144819i \(0.953740\pi\)
\(158\) 3.39728e6 1.96142e6i 0.861311 0.497278i
\(159\) 257827. + 382823.i 0.0641412 + 0.0952371i
\(160\) 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 0.470861 + 0.882207i \(0.343943\pi\)
−0.999445 + 0.0333262i \(0.989390\pi\)
\(164\) 50087.2 28917.8i 0.0113552 0.00655593i
\(165\) 291250. + 4.20741e6i 0.0648356 + 0.936620i
\(166\) −2.76408e6 + 4.78753e6i −0.604264 + 1.04662i
\(167\) 418018.i 0.0897523i −0.998993 0.0448762i \(-0.985711\pi\)
0.998993 0.0448762i \(-0.0142893\pi\)
\(168\) −1.39059e6 + 167609.i −0.293273 + 0.0353484i
\(169\) 4.40951e6 0.913545
\(170\) −769304. 444158.i −0.156585 0.0904046i
\(171\) 2.30401e6 5.67970e6i 0.460782 1.13589i
\(172\) −2.28816e6 3.96320e6i −0.449677 0.778863i
\(173\) 1.68052e6 + 970246.i 0.324567 + 0.187389i 0.653426 0.756990i \(-0.273331\pi\)
−0.328860 + 0.944379i \(0.606664\pi\)
\(174\) −9.07132e6 4.43225e6i −1.72196 0.841349i
\(175\) 2.89281e6 + 4.46941e6i 0.539767 + 0.833943i
\(176\) 4.25044e6i 0.779644i
\(177\) −5.70977e6 8.47788e6i −1.02967 1.52886i
\(178\) 4.01360e6 + 6.95176e6i 0.711663 + 1.23264i
\(179\) −1.82126e6 + 1.05150e6i −0.317550 + 0.183338i −0.650300 0.759677i \(-0.725357\pi\)
0.332750 + 0.943015i \(0.392024\pi\)
\(180\) −883232. 6.34904e6i −0.151446 1.08866i
\(181\) 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
\(186\) 7.45082e6 515768.i 1.15788 0.0801522i
\(187\) 208785. 361626.i 0.0319282 0.0553013i
\(188\) 2.74626e6i 0.413302i
\(189\) 1.72372e6 + 6.52751e6i 0.255319 + 0.966857i
\(190\) −1.58307e7 −2.30802
\(191\) 7.07195e6 + 4.08299e6i 1.01494 + 0.585974i 0.912633 0.408779i \(-0.134045\pi\)
0.102304 + 0.994753i \(0.467379\pi\)
\(192\) −253581. 3.66324e6i −0.0358272 0.517561i
\(193\) −7.09039e6 1.22809e7i −0.986276 1.70828i −0.636125 0.771586i \(-0.719464\pi\)
−0.350150 0.936694i \(-0.613869\pi\)
\(194\) 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 \(-0.160601\pi\)
\(198\) 6.81814e6 948489.i 0.878356 0.122190i
\(199\) −4.06219e6 7.03592e6i −0.515467 0.892815i −0.999839 0.0179528i \(-0.994285\pi\)
0.484372 0.874862i \(-0.339048\pi\)
\(200\) 2.03302e6 1.17376e6i 0.254128 0.146721i
\(201\) 1.35039e6 909476.i 0.166292 0.111996i
\(202\) −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
\(207\) −381650. 154819.i −0.0430283 0.0174547i
\(208\) −7.29742e6 + 1.26395e7i −0.810923 + 1.40456i
\(209\) 7.44154e6i 0.815124i
\(210\) 1.39493e7 1.04631e7i 1.50625 1.12980i
\(211\) 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
\(213\) −8.89252e6 + 615567.i −0.920208 + 0.0636996i
\(214\) 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
\(219\) −8.15515e6 + 5.49241e6i −0.776425 + 0.522914i
\(220\) −3.89132e6 6.73996e6i −0.365451 0.632979i
\(221\) 1.24173e6 716910.i 0.115040 0.0664183i
\(222\) −563955. 837362.i −0.0515449 0.0765340i
\(223\) −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 \(-0.779972\pi\)
0.166856 + 0.985981i \(0.446638\pi\)
\(228\) 781074. + 1.12834e7i 0.0659003 + 0.952000i
\(229\) −3.29935e6 + 5.71465e6i −0.274740 + 0.475864i −0.970070 0.242827i \(-0.921925\pi\)
0.695329 + 0.718691i \(0.255259\pi\)
\(230\) 1.06375e6i 0.0874293i
\(231\) 4.91838e6 + 6.55716e6i 0.399012 + 0.531961i
\(232\) −5.30094e6 −0.424511
\(233\) 1.07075e7 + 6.18197e6i 0.846486 + 0.488719i 0.859464 0.511197i \(-0.170798\pi\)
−0.0129778 + 0.999916i \(0.504131\pi\)
\(234\) 2.19035e7 + 8.88529e6i 1.70949 + 0.693464i
\(235\) 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 \(0.907264\pi\)
\(240\) −1.27829e7 1.89801e7i −0.924689 1.37298i
\(241\) 3.41141e6 + 5.90873e6i 0.243715 + 0.422127i 0.961770 0.273860i \(-0.0883005\pi\)
−0.718055 + 0.695987i \(0.754967\pi\)
\(242\) −9.13035e6 + 5.27141e6i −0.644230 + 0.371947i
\(243\) −4.86036e6 1.35007e7i −0.338727 0.940885i
\(244\) −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
\(249\) 1.39569e7 966141.i 0.904049 0.0625810i
\(250\) 97343.6 168604.i 0.00622999 0.0107907i
\(251\) 1.46090e7i 0.923846i 0.886920 + 0.461923i \(0.152840\pi\)
−0.886920 + 0.461923i \(0.847160\pi\)
\(252\) −8.14588e6 9.42624e6i −0.509022 0.589029i
\(253\) −500037. −0.0308774
\(254\) −9.22346e6 5.32516e6i −0.562850 0.324961i
\(255\) 155248. + 2.24273e6i 0.00936281 + 0.135256i
\(256\) −1.07991e7 1.87046e7i −0.643677 1.11488i
\(257\) −6.83136e6 3.94409e6i −0.402446 0.232353i 0.285093 0.958500i \(-0.407976\pi\)
−0.687539 + 0.726147i \(0.741309\pi\)
\(258\) −1.16151e7 + 2.37723e7i −0.676339 + 1.38424i
\(259\) 547379. 1.07027e6i 0.0315057 0.0616016i
\(260\) 2.67234e7i 1.52045i
\(261\) 3.52055e6 + 2.53072e7i 0.198011 + 1.42338i
\(262\) −1.06262e7 1.84051e7i −0.590844 1.02337i
\(263\) 2.15711e7 1.24541e7i 1.18578 0.684611i 0.228437 0.973559i \(-0.426639\pi\)
0.957345 + 0.288948i \(0.0933053\pi\)
\(264\) 2.99779e6 2.01898e6i 0.162926 0.109729i
\(265\) −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 \(-0.914984\pi\)
−0.253709 + 0.967281i \(0.581651\pi\)
\(270\) −2.75935e7 + 2.47405e7i −1.40189 + 1.25695i
\(271\) −2.58227e6 + 4.47262e6i −0.129746 + 0.224726i −0.923578 0.383410i \(-0.874749\pi\)
0.793832 + 0.608137i \(0.208083\pi\)
\(272\) 2.26566e6i 0.112587i
\(273\) 3.36800e6 + 2.79432e7i 0.165533 + 1.37337i
\(274\) −2.61884e7 −1.27309
\(275\) −1.18974e7 6.86895e6i −0.572075 0.330288i
\(276\) 758196. 52484.6i 0.0360624 0.00249635i
\(277\) −9.08673e6 1.57387e7i −0.427532 0.740507i 0.569121 0.822254i \(-0.307283\pi\)
−0.996653 + 0.0817467i \(0.973950\pi\)
\(278\) −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 \(0.711678\pi\)
\(282\) 1.31693e7 8.86941e6i 0.587241 0.395501i
\(283\) 2.43250e6 + 4.21321e6i 0.107323 + 0.185889i 0.914685 0.404167i \(-0.132439\pi\)
−0.807362 + 0.590057i \(0.799105\pi\)
\(284\) 1.42452e7 8.22444e6i 0.621888 0.359047i
\(285\) 2.23799e7 + 3.32297e7i 0.966771 + 1.43546i
\(286\) 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
\(291\) −1.90946e6 2.75842e7i −0.0774876 1.11939i
\(292\) 9.07186e6 1.57129e7i 0.364374 0.631115i
\(293\) 1.42296e7i 0.565705i −0.959163 0.282852i \(-0.908719\pi\)
0.959163 0.282852i \(-0.0912806\pi\)
\(294\) 1.17101e7 3.18024e7i 0.460806 1.25146i
\(295\) 6.68113e7 2.60246
\(296\) −459049. 265032.i −0.0177004 0.0102193i
\(297\) −1.16298e7 1.29709e7i −0.443916 0.495107i
\(298\) 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
\(303\) 3.30799e6 + 4.91171e6i 0.118915 + 0.176565i
\(304\) 2.01883e7 + 3.49671e7i 0.718585 + 1.24463i
\(305\) −1.20684e7 + 6.96769e6i −0.425353 + 0.245578i
\(306\) 3.63436e6 505585.i 0.126842 0.0176453i
\(307\) −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 \(-0.536669\pi\)
0.802813 + 0.596231i \(0.203336\pi\)
\(312\) 1.23808e7 857038.i 0.407649 0.0282187i
\(313\) 2.62841e6 4.55255e6i 0.0857158 0.148464i −0.819980 0.572392i \(-0.806016\pi\)
0.905696 + 0.423928i \(0.139349\pi\)
\(314\) 3.04957e7i 0.985031i
\(315\) −4.16829e7 1.44889e7i −1.33360 0.463559i
\(316\) 1.83198e7 0.580577
\(317\) −3.38098e7 1.95201e7i −1.06136 0.612779i −0.135555 0.990770i \(-0.543282\pi\)
−0.925809 + 0.377991i \(0.876615\pi\)
\(318\) 340054. + 4.91244e6i 0.0105747 + 0.152762i
\(319\) 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
\(324\) 1.89954e7 + 1.84468e7i 0.558487 + 0.542357i
\(325\) −2.35861e7 4.08523e7i −0.687078 1.19005i
\(326\) −4.23013e7 + 2.44227e7i −1.22096 + 0.704921i
\(327\) 1.14456e6 770852.i 0.0327338 0.0220459i
\(328\) −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 0.498954 + 0.866628i \(0.333718\pi\)
−0.999999 + 0.00120735i \(0.999616\pi\)
\(332\) −2.23580e7 + 1.29084e7i −0.610967 + 0.352742i
\(333\) −960416. + 2.36756e6i −0.0260092 + 0.0641162i
\(334\) 2.22988e6 3.86227e6i 0.0598470 0.103658i
\(335\) 1.06420e7i 0.283066i
\(336\) −4.09000e7 1.74683e7i −1.07822 0.460505i
\(337\) −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
\(339\) −6.37952e7 + 4.41609e6i −1.63753 + 0.113355i
\(340\) −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
\(345\) 2.23289e6 1.50383e6i 0.0543763 0.0366219i
\(346\) 1.03514e7 + 1.79291e7i 0.249902 + 0.432843i
\(347\) −5.66844e6 + 3.27267e6i −0.135667 + 0.0783275i −0.566297 0.824201i \(-0.691625\pi\)
0.430630 + 0.902528i \(0.358291\pi\)
\(348\) −2.63384e7 3.91074e7i −0.624960 0.927942i
\(349\) −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 \(-0.477332\pi\)
0.899407 + 0.437112i \(0.143999\pi\)
\(354\) −7.53073e6 1.08789e8i −0.169757 2.45232i
\(355\) 2.91323e7 5.04586e7i 0.651162 1.12785i
\(356\) 3.74874e7i 0.830874i
\(357\) 2.62170e6 + 3.49524e6i 0.0576207 + 0.0768197i
\(358\) −2.24366e7 −0.489000
\(359\) 1.95231e7 + 1.12717e7i 0.421955 + 0.243616i 0.695913 0.718126i \(-0.255000\pi\)
−0.273959 + 0.961741i \(0.588333\pi\)
\(360\) −7.31452e6 + 1.80313e7i −0.156775 + 0.386473i
\(361\) −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
\(366\) 1.27059e7 + 1.88657e7i 0.259156 + 0.384795i
\(367\) 3.90163e7 + 6.75783e7i 0.789311 + 1.36713i 0.926389 + 0.376567i \(0.122896\pi\)
−0.137078 + 0.990560i \(0.543771\pi\)
\(368\) 2.34963e6 1.35656e6i 0.0471472 0.0272205i
\(369\) 116598. + 838154.i 0.00232066 + 0.0166819i
\(370\) 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 −0.630584 0.776121i \(-0.717185\pi\)
0.987432 + 0.158042i \(0.0505181\pi\)
\(374\) 3.85813e6 2.22749e6i 0.0737500 0.0425796i
\(375\) −491526. + 34024.9i −0.00932079 + 0.000645213i
\(376\) 4.16820e6 7.21954e6i 0.0784125 0.135814i
\(377\) 1.06519e8i 1.98794i
\(378\) −1.88941e7 + 6.95058e7i −0.349826 + 1.28690i
\(379\) 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
\(381\) 1.86133e6 + 2.68888e7i 0.0336548 + 0.486180i
\(382\) 4.35607e7 + 7.54494e7i 0.781457 + 1.35352i
\(383\) −5.02164e7 2.89924e7i −0.893818 0.516046i −0.0186284 0.999826i \(-0.505930\pi\)
−0.875189 + 0.483781i \(0.839263\pi\)
\(384\) −1.43254e7 + 2.93193e7i −0.252996 + 0.517797i
\(385\) −5.35084e7 + 2.72266e6i −0.937648 + 0.0477102i
\(386\) 1.51292e8i 2.63060i
\(387\) 6.63199e7 9.22593e6i 1.14422 0.159176i
\(388\) 2.55119e7 + 4.41879e7i 0.436765 + 0.756498i
\(389\) −6.34639e7 + 3.66409e7i −1.07815 + 0.622468i −0.930396 0.366557i \(-0.880537\pi\)
−0.147750 + 0.989025i \(0.547203\pi\)
\(390\) −1.28149e8 + 8.63069e7i −2.16033 + 1.45496i
\(391\) −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
\(396\) 2.97899e7 + 1.20845e7i 0.479715 + 0.194599i
\(397\) −1.20492e7 + 2.08698e7i −0.192569 + 0.333539i −0.946101 0.323872i \(-0.895015\pi\)
0.753532 + 0.657411i \(0.228349\pi\)
\(398\) 8.66776e7i 1.37486i
\(399\) 7.16064e7 + 3.05830e7i 1.12728 + 0.481461i
\(400\) 7.45395e7 1.16468
\(401\) 5.17591e6 + 2.98831e6i 0.0802701 + 0.0463439i 0.539598 0.841923i \(-0.318576\pi\)
−0.459328 + 0.888267i \(0.651910\pi\)
\(402\) 1.73284e7 1.19953e6i 0.266736 0.0184642i
\(403\) −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
\(408\) 1.59795e6 1.07620e6i 0.0235279 0.0158458i
\(409\) −2.79908e6 4.84814e6i −0.0409115 0.0708607i 0.844845 0.535012i \(-0.179693\pi\)
−0.885756 + 0.464151i \(0.846359\pi\)
\(410\) 1.89283e6 1.09282e6i 0.0274637 0.0158562i
\(411\) 3.70226e7 + 5.49712e7i 0.533263 + 0.791790i
\(412\) −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
\(417\) 3.49322e6 + 5.04633e7i 0.0481746 + 0.695933i
\(418\) 3.96962e7 6.87559e7i 0.543526 0.941415i
\(419\) 1.69985e7i 0.231084i 0.993303 + 0.115542i \(0.0368604\pi\)
−0.993303 + 0.115542i \(0.963140\pi\)
\(420\) 8.08479e7 9.74463e6i 1.09124 0.131528i
\(421\) 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
\(423\) −3.72350e7 1.51046e7i −0.491960 0.199567i
\(424\) 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
\(429\) −4.05702e7 6.02388e7i −0.513849 0.762965i
\(430\) −8.64710e7 1.49772e8i −1.08759 1.88376i
\(431\) 3.31397e7 1.91332e7i 0.413921 0.238977i −0.278552 0.960421i \(-0.589854\pi\)
0.692473 + 0.721444i \(0.256521\pi\)
\(432\) 8.98360e7 + 2.93983e7i 1.11429 + 0.364646i
\(433\) −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
\(438\) −1.04648e8 + 7.24405e6i −1.24540 + 0.0862103i
\(439\) −1.25464e7 + 2.17310e7i −0.148295 + 0.256854i −0.930597 0.366045i \(-0.880712\pi\)
0.782303 + 0.622899i \(0.214045\pi\)
\(440\) 2.36246e7i 0.277336i
\(441\) −8.33099e7 + 2.03788e7i −0.971361 + 0.237609i
\(442\) 1.52972e7 0.177151
\(443\) −2.14827e7 1.24030e7i −0.247103 0.142665i 0.371334 0.928499i \(-0.378900\pi\)
−0.618437 + 0.785835i \(0.712234\pi\)
\(444\) −325587. 4.70345e6i −0.00371979 0.0537363i
\(445\) 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 \(0.709406\pi\)
\(450\) −1.66336e7 1.19569e8i −0.182536 1.31214i
\(451\) 513704. + 889761.i 0.00559993 + 0.00969937i
\(452\) 1.02195e8 5.90024e7i 1.10666 0.638931i
\(453\) 1.90276e7 1.28149e7i 0.204687 0.137854i
\(454\) −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 −0.331765 0.943362i \(-0.607644\pi\)
0.982858 0.184364i \(-0.0590226\pi\)
\(458\) −6.09686e7 + 3.52002e7i −0.634614 + 0.366395i
\(459\) −6.19915e6 6.91401e6i −0.0641053 0.0714977i
\(460\) −2.48388e6 + 4.30221e6i −0.0255187 + 0.0441996i
\(461\) 1.56669e8i 1.59912i −0.600588 0.799559i \(-0.705067\pi\)
0.600588 0.799559i \(-0.294933\pi\)
\(462\) 1.04646e7 + 8.68214e7i 0.106120 + 0.880442i
\(463\) 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
\(465\) 1.23252e8 8.53185e6i 1.22584 0.0848563i
\(466\) 6.59544e7 + 1.14236e8i 0.651757 + 1.12888i
\(467\) 1.21690e8 + 7.02577e7i 1.19482 + 0.689832i 0.959397 0.282060i \(-0.0910179\pi\)
0.235427 + 0.971892i \(0.424351\pi\)
\(468\) 6.78385e7 + 8.70805e7i 0.661819 + 0.849539i
\(469\) 1.12383e7 + 1.73632e7i 0.108939 + 0.168311i
\(470\) 1.03783e8i 0.999614i
\(471\) −6.40126e7 + 4.31118e7i −0.612636 + 0.412604i
\(472\) −2.86279e7 4.95849e7i −0.272247 0.471546i
\(473\) 7.04033e7 4.06474e7i 0.665288 0.384104i
\(474\) −5.91663e7 8.78503e7i −0.555571 0.824913i
\(475\) −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 \(-0.685817\pi\)
0.447024 + 0.894522i \(0.352484\pi\)
\(480\) −1.36744e7 1.97542e8i −0.123648 1.78622i
\(481\) −5.32565e6 + 9.22430e6i −0.0478561 + 0.0828893i
\(482\) 7.27914e7i 0.650038i
\(483\) 2.05504e6 4.81163e6i 0.0182381 0.0427022i
\(484\) −4.92354e7 −0.434252
\(485\) 1.56520e8 + 9.03671e7i 1.37197 + 0.792110i
\(486\) 2.71109e7 1.50666e8i 0.236176 1.31252i
\(487\) 9.77292e7 + 1.69272e8i 0.846131 + 1.46554i 0.884635 + 0.466284i \(0.154407\pi\)
−0.0385041 + 0.999258i \(0.512259\pi\)
\(488\) 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 \(0.842261\pi\)
\(492\) −872308. 1.29521e6i −0.00732445 0.0108754i
\(493\) 8.26787e6 + 1.43204e7i 0.0690006 + 0.119513i
\(494\) 2.36089e8 1.36306e8i 1.95837 1.13066i
\(495\) 1.12786e8 1.56899e7i 0.929906 0.129362i
\(496\) 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 −0.338441 0.940987i \(-0.609900\pi\)
0.984140 0.177395i \(-0.0567670\pi\)
\(500\) 787388. 454599.i 0.00629910 0.00363679i
\(501\) −1.12595e7 + 779420.i −0.0895381 + 0.00619809i
\(502\) −7.79305e7 + 1.34980e8i −0.616022 + 1.06698i
\(503\) 4.17030e7i 0.327690i −0.986486 0.163845i \(-0.947610\pi\)
0.986486 0.163845i \(-0.0523897\pi\)
\(504\) 7.10748e6 + 3.71439e7i 0.0555168 + 0.290132i
\(505\) −3.87075e7 −0.300553
\(506\) −4.62008e6 2.66741e6i −0.0356614 0.0205891i
\(507\) −8.22179e6 1.18772e8i −0.0630874 0.911364i
\(508\) −2.48687e7 4.30739e7i −0.189698 0.328566i
\(509\) −1.47010e8 8.48765e7i −1.11479 0.643627i −0.174727 0.984617i \(-0.555904\pi\)
−0.940067 + 0.340990i \(0.889238\pi\)
\(510\) −1.05292e7 + 2.15498e7i −0.0793754 + 0.162455i
\(511\) −6.78692e7 1.04858e8i −0.508640 0.785850i
\(512\) 1.53078e8i 1.14052i
\(513\) −1.57282e8 5.14696e7i −1.16500 0.381240i
\(514\) −4.20788e7 7.28826e7i −0.309866 0.536704i
\(515\) −2.62150e8 + 1.51352e8i −1.91923 + 1.10807i
\(516\) −1.02485e8 + 6.90224e7i −0.745950 + 0.502390i
\(517\) −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 \(-0.741342\pi\)
0.284994 + 0.958529i \(0.408009\pi\)
\(522\) −1.02471e8 + 2.52605e8i −0.720426 + 1.77595i
\(523\) −1.04627e7 + 1.81220e7i −0.0731374 + 0.126678i −0.900275 0.435322i \(-0.856634\pi\)
0.827137 + 0.562000i \(0.189968\pi\)
\(524\) 9.92493e7i 0.689816i
\(525\) 1.14992e8 8.62530e7i 0.794677 0.596069i
\(526\) 2.65741e8 1.82600
\(527\) −1.05935e7 6.11613e6i −0.0723779 0.0417874i
\(528\) 1.14488e8 7.92520e6i 0.777782 0.0538404i
\(529\) −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
\(534\) 1.79766e8 1.21071e8i 1.18055 0.795087i
\(535\) 1.95498e8 + 3.38613e8i 1.27668 + 2.21127i
\(536\) 7.89809e6 4.55997e6i 0.0512894 0.0296120i
\(537\) 3.17187e7 + 4.70960e7i 0.204829 + 0.304131i
\(538\) −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 −0.625364 0.780333i \(-0.715050\pi\)
0.988470 + 0.151415i \(0.0483829\pi\)
\(542\) −4.77176e7 + 2.75498e7i −0.299696 + 0.173029i
\(543\) −8.12901e6 1.17432e8i −0.0507736 0.733479i
\(544\) −9.80265e6 + 1.69787e7i −0.0608901 + 0.105465i
\(545\) 9.01991e6i 0.0557202i
\(546\) −1.17942e8 + 2.76146e8i −0.724586 + 1.69653i
\(547\) −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
\(549\) 2.16381e7 5.33409e7i 0.130768 0.322362i
\(550\) −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
\(555\) −9.32895e6 1.38517e7i −0.0545700 0.0810257i
\(556\) −4.66721e7 8.08384e7i −0.271539 0.470320i
\(557\) −1.57185e8 + 9.07506e7i −0.909588 + 0.525151i −0.880299 0.474420i \(-0.842658\pi\)
−0.0292895 + 0.999571i \(0.509324\pi\)
\(558\) −2.77850e7 1.99730e8i −0.159922 1.14958i
\(559\) 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 \(-0.623838\pi\)
0.611653 + 0.791127i \(0.290505\pi\)
\(564\) 7.39720e7 5.12056e6i 0.412316 0.0285417i
\(565\) 2.08996e8 3.61991e8i 1.15876 2.00702i
\(566\) 5.19038e7i 0.286253i
\(567\) 1.72608e8 5.86004e7i 0.946917 0.321478i
\(568\) −4.99314e7 −0.272476
\(569\) 1.04058e8 + 6.00781e7i 0.564859 + 0.326121i 0.755093 0.655617i \(-0.227592\pi\)
−0.190235 + 0.981739i \(0.560925\pi\)
\(570\) 2.95173e7 + 4.26409e8i 0.159387 + 2.30251i
\(571\) −1.45541e8 2.52085e8i −0.781769 1.35406i −0.930910 0.365248i \(-0.880984\pi\)
0.149141 0.988816i \(-0.452349\pi\)
\(572\) 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
\(576\) −9.81986e7 + 1.36607e7i −0.513852 + 0.0714833i
\(577\) −3.50380e6 6.06877e6i −0.0182395 0.0315917i 0.856762 0.515713i \(-0.172473\pi\)
−0.875001 + 0.484121i \(0.839139\pi\)
\(578\) −2.20962e8 + 1.27572e8i −1.14428 + 0.660653i
\(579\) −3.17573e8 + 2.13882e8i −1.63609 + 1.10189i
\(580\) 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
\(585\) 3.62328e8 + 1.46981e8i 1.80982 + 0.734164i
\(586\) 7.59066e7 1.31474e8i 0.377213 0.653352i
\(587\) 5.84714e7i 0.289087i −0.989498 0.144544i \(-0.953829\pi\)
0.989498 0.144544i \(-0.0461714\pi\)
\(588\) 1.21619e8 1.01277e8i 0.598232 0.498174i
\(589\) −2.17992e8 −1.06683
\(590\) 6.17301e8 + 3.56399e8i 3.00567 + 1.73532i
\(591\) −1.99098e8 + 1.37822e7i −0.964506 + 0.0667660i
\(592\) −8.41538e6 1.45759e7i −0.0405610 0.0702537i
\(593\) −2.64996e8 1.52995e8i −1.27079 0.733693i −0.295656 0.955294i \(-0.595538\pi\)
−0.975137 + 0.221601i \(0.928872\pi\)
\(594\) −3.82609e7 1.81882e8i −0.182556 0.867821i
\(595\) −2.85222e7 + 1.45129e6i −0.135404 + 0.00688976i
\(596\) 3.66851e6i 0.0173281i
\(597\) −1.81942e8 + 1.22536e8i −0.855087 + 0.575892i
\(598\) −9.15914e6 1.58641e7i −0.0428303 0.0741843i
\(599\) 3.21383e8 1.85551e8i 1.49535 0.863341i 0.495364 0.868686i \(-0.335035\pi\)
0.999986 + 0.00534498i \(0.00170137\pi\)
\(600\) −3.54067e7 5.25720e7i −0.163920 0.243389i
\(601\) 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
\(606\) 4.36298e6 + 6.30278e7i 0.0196049 + 0.283214i
\(607\) −1.75975e8 + 3.04797e8i −0.786836 + 1.36284i 0.141060 + 0.990001i \(0.454949\pi\)
−0.927896 + 0.372839i \(0.878384\pi\)
\(608\) 3.49387e8i 1.55452i
\(609\) −3.22258e8 + 3.88419e7i −1.42677 + 0.171969i
\(610\) −1.48674e8 −0.655007
\(611\) −1.45072e8 8.37574e7i −0.636005 0.367198i
\(612\) 1.58792e7 + 6.44152e6i 0.0692749 + 0.0281018i
\(613\) 1.43728e8 + 2.48944e8i 0.623964 + 1.08074i 0.988740 + 0.149643i \(0.0478123\pi\)
−0.364776 + 0.931095i \(0.618854\pi\)
\(614\) −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 \(-0.389088\pi\)
\(618\) 2.75997e8 + 4.09801e8i 1.16933 + 1.73623i
\(619\) 4.35278e7 + 7.53924e7i 0.183525 + 0.317875i 0.943078 0.332570i \(-0.107916\pi\)
−0.759554 + 0.650445i \(0.774583\pi\)
\(620\) −1.97440e8 + 1.13992e8i −0.828438 + 0.478299i
\(621\) −3.45852e6 + 1.05686e7i −0.0144416 + 0.0441310i
\(622\) 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
\(627\) −2.00442e8 + 1.38752e7i −0.813178 + 0.0562906i
\(628\) 7.12081e7 1.23336e8i 0.287509 0.497979i
\(629\) 1.65348e6i 0.00664427i
\(630\) −3.07838e8 3.56224e8i −1.23112 1.42463i
\(631\) 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
\(633\) −1.37183e7 1.98175e8i −0.0540863 0.781335i
\(634\) −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
\(639\) 3.31612e7 + 2.38377e8i 0.127095 + 0.913612i
\(640\) −1.06648e8 1.84720e8i −0.406830 0.704651i
\(641\) 2.78216e8 1.60628e8i 1.05635 0.609884i 0.131930 0.991259i \(-0.457883\pi\)
0.924420 + 0.381375i \(0.124549\pi\)
\(642\) 5.29331e8 3.56499e8i 2.00043 1.34727i
\(643\) −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 0.629424 0.777062i \(-0.283291\pi\)
0.987667 0.156566i \(-0.0500425\pi\)
\(648\) −2.19382e7 7.73247e7i −0.0806263 0.284180i
\(649\) −1.67532e8 + 2.90174e8i −0.612864 + 1.06151i
\(650\) 5.03272e8i 1.83258i
\(651\) 1.92085e8 1.44079e8i 0.696226 0.522223i
\(652\) −2.28110e8 −0.823002
\(653\) −1.36038e8 7.85415e7i −0.488563 0.282072i 0.235415 0.971895i \(-0.424355\pi\)
−0.723978 + 0.689823i \(0.757688\pi\)
\(654\) 1.46872e7 1.01669e6i 0.0525057 0.00363460i
\(655\) −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 \(0.868062\pi\)
\(660\) −1.74289e8 + 1.17382e8i −0.606231 + 0.408290i
\(661\) 8.24137e7 + 1.42745e8i 0.285361 + 0.494260i 0.972697 0.232080i \(-0.0745531\pi\)
−0.687335 + 0.726340i \(0.741220\pi\)
\(662\) −3.35767e8 + 1.93855e8i −1.15735 + 0.668196i
\(663\) −2.16256e7 3.21098e7i −0.0742042 0.110179i
\(664\) 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
\(669\) 882062. + 1.27423e7i 0.00294592 + 0.0425569i
\(670\) −5.67687e7 + 9.83263e7i −0.188749 + 0.326923i
\(671\) 6.98872e7i 0.231329i
\(672\) −2.30922e8 3.07865e8i −0.760954 1.01450i
\(673\) 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
\(675\) −2.27468e8 + 2.03950e8i −0.739622 + 0.663150i
\(676\) 1.09849e8 + 1.90265e8i 0.355596 + 0.615911i
\(677\) 5.14602e8 + 2.97105e8i 1.65846 + 0.957513i 0.973426 + 0.229002i \(0.0735463\pi\)
0.685035 + 0.728510i \(0.259787\pi\)
\(678\) −6.12991e8 2.99507e8i −1.96682 0.960989i
\(679\) 3.50807e8 1.78500e7i 1.12062 0.0570203i
\(680\) 1.25929e7i 0.0400496i
\(681\) 1.22962e8 + 1.82574e8i 0.389340 + 0.578094i
\(682\) −1.22414e8 2.12028e8i −0.385904 0.668405i
\(683\) 6.14652e7 3.54870e7i 0.192916 0.111380i −0.400431 0.916327i \(-0.631140\pi\)
0.593347 + 0.804947i \(0.297806\pi\)
\(684\) 3.02469e8 4.20773e7i 0.945177 0.131486i
\(685\) −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
\(690\) 2.86527e7 1.98343e6i 0.0872206 0.00603767i
\(691\) −1.53091e8 + 2.65162e8i −0.463998 + 0.803668i −0.999156 0.0410845i \(-0.986919\pi\)
0.535158 + 0.844752i \(0.320252\pi\)
\(692\) 9.66828e7i 0.291763i
\(693\) 1.67450e8 1.44705e8i 0.503136 0.434795i
\(694\) −6.98312e7 −0.208916
\(695\) −2.86343e8 1.65320e8i −0.852965 0.492460i
\(696\) 9.88392e6 + 1.42784e8i 0.0293158 + 0.423498i
\(697\) 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 \(0.936421\pi\)
\(702\) 1.98490e8 6.06549e8i 0.573756 1.75329i
\(703\) 1.47334e7 + 2.55189e7i 0.0424069 + 0.0734508i
\(704\) −1.04245e8 + 6.01858e7i −0.298770 + 0.172495i
\(705\) 2.17847e8 1.46718e8i 0.621706 0.418713i
\(706\) 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 0.467350 + 0.884073i \(0.345209\pi\)
−0.999304 + 0.0372996i \(0.988124\pi\)
\(710\) 5.38334e8 3.10807e8i 1.50410 0.868392i
\(711\) −1.00760e8 + 2.48388e8i −0.280337 + 0.691070i
\(712\) 5.68974e7 9.85491e7i 0.157635 0.273032i
\(713\) 1.46481e7i 0.0404121i
\(714\) 5.57808e6 + 4.62794e7i 0.0153246 + 0.127143i
\(715\) 4.74721e8 1.29874
\(716\) −9.07421e7 5.23900e7i −0.247212 0.142728i
\(717\) 2.11244e8 1.46230e7i 0.573096 0.0396714i
\(718\) 1.20256e8 + 2.08289e8i 0.324887 + 0.562720i
\(719\) −8.54115e7 4.93123e7i −0.229789 0.132669i 0.380686 0.924705i \(-0.375688\pi\)
−0.610475 + 0.792036i \(0.709021\pi\)
\(720\) −4.87405e8 + 3.79704e8i −1.30585 + 1.01730i
\(721\) −2.67885e8 + 5.23783e8i −0.714730 + 1.39748i
\(722\) 2.52254e8i 0.670233i
\(723\) 1.52794e8 1.02905e8i 0.404289 0.272284i
\(724\) 1.08610e8 + 1.88118e8i 0.286189 + 0.495694i
\(725\) 4.71135e8 2.72010e8i 1.23632 0.713791i
\(726\) 1.59012e8 + 2.36102e8i 0.415548 + 0.617007i
\(727\) 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
\(732\) 7.33545e6 + 1.05968e8i 0.0187022 + 0.270174i
\(733\) 2.36745e8 4.10054e8i 0.601130 1.04119i −0.391520 0.920170i \(-0.628051\pi\)
0.992650 0.121018i \(-0.0386160\pi\)
\(734\) 8.32517e8i 2.10526i
\(735\) 1.93708e8 5.26076e8i 0.487850 1.32491i
\(736\) 2.34772e7 0.0588862
\(737\) −4.62202e7 2.66852e7i −0.115459 0.0666605i
\(738\) −3.39376e6 + 8.36609e6i −0.00844329 + 0.0208139i
\(739\) −2.61731e8 4.53331e8i −0.648518 1.12327i −0.983477 0.181033i \(-0.942056\pi\)
0.334960 0.942233i \(-0.391277\pi\)
\(740\) 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 \(0.933265\pi\)
\(744\) −5.91439e7 8.78171e7i −0.143612 0.213236i
\(745\) 6.49723e6 + 1.12535e7i 0.0157130 + 0.0272157i
\(746\) 3.42206e8 1.97572e8i 0.824272 0.475894i
\(747\) −5.20470e7 3.74136e8i −0.124863 0.897569i
\(748\) 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 −0.258461 0.966022i \(-0.583215\pi\)
0.965830 0.259177i \(-0.0834515\pi\)
\(752\) 2.29237e8 1.32350e8i 0.539053 0.311222i
\(753\) 3.93501e8 2.72394e7i 0.921640 0.0637987i
\(754\) −5.68217e8 + 9.84181e8i −1.32556 + 2.29594i
\(755\) 1.49950e8i 0.348422i
\(756\) −2.38713e8 + 2.36989e8i −0.552471 + 0.548484i
\(757\) −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
\(759\) 932349. + 1.34688e7i 0.00213232 + 0.0308037i
\(760\) 1.12209e8 + 1.94352e8i 0.255616 + 0.442740i
\(761\) −4.72894e8 2.73025e8i −1.07302 0.619511i −0.144018 0.989575i \(-0.546002\pi\)
−0.929006 + 0.370064i \(0.879336\pi\)
\(762\) −1.26239e8 + 2.58368e8i −0.285317 + 0.583947i
\(763\) 9.52536e6 + 1.47167e7i 0.0214441 + 0.0331312i
\(764\) 4.06861e8i 0.912359i
\(765\) 6.01196e7 8.36339e6i 0.134286 0.0186809i
\(766\) −3.09315e8