Properties

Label 21.7.h.a.11.12
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 11.12
Character \(\chi\) \(=\) 21.11
Dual form 21.7.h.a.2.12

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} + O(q^{10}) \) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} - 930 q^{10} - 404 q^{12} + 3632 q^{13} + 5450 q^{15} - 13706 q^{16} + 1612 q^{18} + 6830 q^{19} - 11333 q^{21} - 27348 q^{22} - 54498 q^{24} - 7640 q^{25} + 13268 q^{27} + 88522 q^{28} + 32380 q^{30} + 69410 q^{31} - 85459 q^{33} - 31344 q^{34} + 399028 q^{36} - 71830 q^{37} + 104570 q^{39} + 230250 q^{40} - 467782 q^{42} - 498904 q^{43} - 85375 q^{45} - 342660 q^{46} - 324728 q^{48} + 395668 q^{49} + 42177 q^{51} + 218000 q^{52} - 402122 q^{54} + 231660 q^{55} + 786782 q^{57} + 459522 q^{58} + 1021150 q^{60} + 153158 q^{61} + 179011 q^{63} - 1399412 q^{64} + 80896 q^{66} - 977098 q^{67} - 1520742 q^{69} - 139650 q^{70} - 1001352 q^{72} - 488350 q^{73} + 1434610 q^{75} + 6196280 q^{76} + 245176 q^{78} + 380762 q^{79} + 893531 q^{81} - 3665004 q^{82} + 1231496 q^{84} - 912540 q^{85} + 1452416 q^{87} - 1522482 q^{88} - 11713820 q^{90} - 1529416 q^{91} - 1690071 q^{93} - 3034044 q^{94} + 7549346 q^{96} + 7212176 q^{97} + 435866 q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 9.23947 5.33441i 1.15493 0.666802i 0.204850 0.978793i \(-0.434329\pi\)
0.950085 + 0.311992i \(0.100996\pi\)
\(3\) −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 0.257221 0.966353i \(-0.417193\pi\)
0.965496 + 0.260417i \(0.0838599\pi\)
\(6\) 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 0.183611 0.982999i \(-0.441221\pi\)
−0.759497 + 0.650511i \(0.774555\pi\)
\(12\) 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 0.457842 0.889034i \(-0.348623\pi\)
−0.541005 + 0.841020i \(0.681956\pi\)
\(18\) −7207.15 + 2923.63i −1.23579 + 0.501308i
\(19\) −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
\(21\) −1108.21 + 9194.45i −0.119664 + 0.992814i
\(22\) −9442.80 −0.886814
\(23\) 489.271 282.481i 0.0402129 0.0232169i −0.479759 0.877400i \(-0.659276\pi\)
0.519972 + 0.854183i \(0.325942\pi\)
\(24\) −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 \(0.255192\pi\)
−0.695480 + 0.718546i \(0.744808\pi\)
\(30\) 42166.3 + 28398.5i 1.56171 + 1.05180i
\(31\) 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
\(33\) 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 0.882805 0.469740i \(-0.155652\pi\)
−0.848209 + 0.529661i \(0.822319\pi\)
\(38\) −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 \(0.00268060\pi\)
−0.999965 + 0.00842126i \(0.997319\pi\)
\(42\) 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 −0.252177 0.967681i \(-0.581147\pi\)
0.711948 + 0.702232i \(0.247813\pi\)
\(48\) −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 0.449456 0.893303i \(-0.351618\pi\)
−0.548895 + 0.835891i \(0.684951\pi\)
\(54\) −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 0.992189 + 0.124746i \(0.0398116\pi\)
0.604128 + 0.796888i \(0.293522\pi\)
\(60\) 236847. + 16395.3i 1.09652 + 0.0759041i
\(61\) −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
\(63\) −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 −0.811541 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 \(0.152583\pi\)
−0.887294 + 0.461205i \(0.847417\pi\)
\(72\) 15191.7 109204.i 0.0407014 0.292579i
\(73\) −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
\(75\) 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 0.990008 0.141013i \(-0.0450360\pi\)
−0.617125 + 0.786865i \(0.711703\pi\)
\(80\) 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 \(-0.850316\pi\)
0.891457 0.453106i \(-0.149684\pi\)
\(84\) 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 0.0392888 0.999228i \(-0.487491\pi\)
0.885001 + 0.465589i \(0.154157\pi\)
\(90\) −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 0.404982 0.914325i \(-0.367278\pi\)
−0.589338 + 0.807887i \(0.700611\pi\)
\(102\) 9385.08 135578.i 0.00884377 0.127758i
\(103\) −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
\(105\) 641958. + 1.50307e6i 0.554548 + 1.29841i
\(106\) −182378. −0.153128
\(107\) 1.91866e6 1.10774e6i 1.56620 0.904246i 0.569594 0.821926i \(-0.307100\pi\)
0.996606 0.0823201i \(-0.0262330\pi\)
\(108\) −730167. 654672.i −0.579630 0.519700i
\(109\) 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 \(0.306429\pi\)
−0.571326 + 0.820723i \(0.693571\pi\)
\(114\) 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 −0.831937 0.554870i \(-0.812768\pi\)
0.0645636 + 0.997914i \(0.479434\pi\)
\(132\) −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 0.0260045 0.999662i \(-0.491722\pi\)
−0.852730 + 0.522351i \(0.825055\pi\)
\(138\) 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 −0.490331 0.871536i \(-0.663124\pi\)
0.509607 + 0.860407i \(0.329791\pi\)
\(150\) 4.46045e6 + 308766.i 1.32162 + 0.0914862i
\(151\) 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
\(156\) −3.39102e6 2.28381e6i −0.893215 0.601571i
\(157\) −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
\(159\) 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 −0.999445 0.0333262i \(-0.989390\pi\)
0.470861 0.882207i \(-0.343943\pi\)
\(164\) 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 \(0.0142893\pi\)
−0.998993 + 0.0448762i \(0.985711\pi\)
\(168\) −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 −0.328860 0.944379i \(-0.606664\pi\)
0.653426 + 0.756990i \(0.273331\pi\)
\(174\) −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 0.332750 0.943015i \(-0.392024\pi\)
−0.650300 + 0.759677i \(0.725357\pi\)
\(180\) −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 0.102304 0.994753i \(-0.467379\pi\)
0.912633 + 0.408779i \(0.134045\pi\)
\(192\) −253581. + 3.66324e6i −0.0358272 + 0.517561i
\(193\) −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 \(0.160601\pi\)
−0.875396 + 0.483407i \(0.839399\pi\)
\(198\) 6.81814e6 + 948489.i 0.878356 + 0.122190i
\(199\) −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
\(201\) 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 0.166856 0.985981i \(-0.446638\pi\)
−0.770457 + 0.637492i \(0.779972\pi\)
\(228\) 781074. 1.12834e7i 0.0659003 0.952000i
\(229\) −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
\(231\) 4.91838e6 6.55716e6i 0.399012 0.531961i
\(232\) −5.30094e6 −0.424511
\(233\) 1.07075e7 6.18197e6i 0.846486 0.488719i −0.0129778 0.999916i \(-0.504131\pi\)
0.859464 + 0.511197i \(0.170798\pi\)
\(234\) 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 \(-0.907264\pi\)
0.957860 0.287234i \(-0.0927357\pi\)
\(240\) −1.27829e7 + 1.89801e7i −0.924689 + 1.37298i
\(241\) 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
\(243\) −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 \(-0.847160\pi\)
0.886920 0.461923i \(-0.152840\pi\)
\(252\) −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 −0.687539 0.726147i \(-0.741309\pi\)
0.285093 + 0.958500i \(0.407976\pi\)
\(258\) −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 0.957345 0.288948i \(-0.0933053\pi\)
0.228437 + 0.973559i \(0.426639\pi\)
\(264\) 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 −0.253709 0.967281i \(-0.581651\pi\)
−0.964544 + 0.263922i \(0.914984\pi\)
\(270\) −2.75935e7 2.47405e7i −1.40189 1.25695i
\(271\) −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
\(273\) 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 −0.996653 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 \(-0.711678\pi\)
0.617065 0.786912i \(-0.288322\pi\)
\(282\) 1.31693e7 + 8.86941e6i 0.587241 + 0.395501i
\(283\) 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
\(285\) 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 \(0.0912806\pi\)
−0.959163 + 0.282852i \(0.908719\pi\)
\(294\) 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 0.802813 0.596231i \(-0.203336\pi\)
−0.114945 + 0.993372i \(0.536669\pi\)
\(312\) 1.23808e7 + 857038.i 0.407649 + 0.0282187i
\(313\) 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
\(315\) −4.16829e7 + 1.44889e7i −1.33360 + 0.463559i
\(316\) 1.83198e7 0.580577
\(317\) −3.38098e7 + 1.95201e7i −1.06136 + 0.612779i −0.925809 0.377991i \(-0.876615\pi\)
−0.135555 + 0.990770i \(0.543282\pi\)
\(318\) 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 −0.999999 0.00120735i \(-0.999616\pi\)
0.498954 0.866628i \(-0.333718\pi\)
\(332\) −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 0.430630 0.902528i \(-0.358291\pi\)
−0.566297 + 0.824201i \(0.691625\pi\)
\(348\) −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 0.899407 0.437112i \(-0.143999\pi\)
0.0711539 + 0.997465i \(0.477332\pi\)
\(354\) −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 −0.273959 0.961741i \(-0.588333\pi\)
0.695913 + 0.718126i \(0.255000\pi\)
\(360\) −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 −0.137078 0.990560i \(-0.543771\pi\)
0.926389 0.376567i \(-0.122896\pi\)
\(368\) 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 0.987432 0.158042i \(-0.0505181\pi\)
−0.630584 + 0.776121i \(0.717185\pi\)
\(374\) 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 −0.875189 0.483781i \(-0.839263\pi\)
−0.0186284 + 0.999826i \(0.505930\pi\)
\(384\) −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 −0.147750 0.989025i \(-0.547203\pi\)
−0.930396 + 0.366557i \(0.880537\pi\)
\(390\) −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 0.753532 0.657411i \(-0.228349\pi\)
−0.946101 + 0.323872i \(0.895015\pi\)
\(398\) 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 −0.459328 0.888267i \(-0.651910\pi\)
0.539598 + 0.841923i \(0.318576\pi\)
\(402\) 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 −0.885756 0.464151i \(-0.846359\pi\)
0.844845 + 0.535012i \(0.179693\pi\)
\(410\) 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 \(-0.963140\pi\)
0.993303 0.115542i \(-0.0368604\pi\)
\(420\) 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 0.692473 0.721444i \(-0.256521\pi\)
−0.278552 + 0.960421i \(0.589854\pi\)
\(432\) 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 0.782303 0.622899i \(-0.214045\pi\)
−0.930597 + 0.366045i \(0.880712\pi\)
\(440\) 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 −0.618437 0.785835i \(-0.712234\pi\)
0.371334 + 0.928499i \(0.378900\pi\)
\(444\) −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 \(-0.709406\pi\)
0.611432 0.791297i \(-0.290594\pi\)
\(450\) −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 0.982858 + 0.184364i \(0.0590226\pi\)
−0.331765 + 0.943362i \(0.607644\pi\)
\(458\) −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 \(0.294933\pi\)
−0.600588 + 0.799559i \(0.705067\pi\)
\(462\) 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 0.235427 0.971892i \(-0.424351\pi\)
0.959397 + 0.282060i \(0.0910179\pi\)
\(468\) 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 0.447024 0.894522i \(-0.352484\pi\)
−0.551167 + 0.834395i \(0.685817\pi\)
\(480\) −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 −0.0385041 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 \(-0.842261\pi\)
0.879707 0.475517i \(-0.157739\pi\)
\(492\) −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 0.984140 + 0.177395i \(0.0567670\pi\)
−0.338441 + 0.940987i \(0.609900\pi\)
\(500\) 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 \(0.0523897\pi\)
−0.986486 + 0.163845i \(0.947610\pi\)
\(504\) 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 −0.940067 0.340990i \(-0.889238\pi\)
−0.174727 + 0.984617i \(0.555904\pi\)
\(510\) −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 0.284994 0.958529i \(-0.408009\pi\)
−0.687614 + 0.726076i \(0.741342\pi\)
\(522\) −1.02471e8 2.52605e8i −0.720426 1.77595i
\(523\) −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
\(525\) 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 0.988470 0.151415i \(-0.0483829\pi\)
−0.625364 + 0.780333i \(0.715050\pi\)
\(542\) −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 −0.0292895 0.999571i \(-0.509324\pi\)
−0.880299 + 0.474420i \(0.842658\pi\)
\(558\) −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 0.611653 0.791127i \(-0.290505\pi\)
−0.379309 + 0.925270i \(0.623838\pi\)
\(564\) 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 −0.190235 0.981739i \(-0.560925\pi\)
0.755093 + 0.655617i \(0.227592\pi\)
\(570\) 2.95173e7 4.26409e8i 0.159387 2.30251i
\(571\) −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
\(576\) −9.81986e7 1.36607e7i −0.513852 0.0714833i
\(577\) −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
\(579\) −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 \(0.0461714\pi\)
−0.989498 + 0.144544i \(0.953829\pi\)
\(588\) 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 −0.975137 0.221601i \(-0.928872\pi\)
−0.295656 + 0.955294i \(0.595538\pi\)
\(594\) −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 0.999986 0.00534498i \(-0.00170137\pi\)
0.495364 + 0.868686i \(0.335035\pi\)
\(600\) −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 −0.927896 0.372839i \(-0.878384\pi\)
0.141060 0.990001i \(-0.454949\pi\)
\(608\) 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 −0.364776 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 \(0.389088\pi\)
−0.341432 + 0.939907i \(0.610912\pi\)
\(618\) 2.75997e8 4.09801e8i 1.16933 1.73623i
\(619\) 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
\(621\) −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 0.924420 0.381375i \(-0.124549\pi\)
0.131930 + 0.991259i \(0.457883\pi\)
\(642\) 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 0.987667 + 0.156566i \(0.0500425\pi\)
0.629424 + 0.777062i \(0.283291\pi\)
\(648\) −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 −0.723978 0.689823i \(-0.757688\pi\)
0.235415 + 0.971895i \(0.424355\pi\)
\(654\) 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 \(-0.868062\pi\)
0.915320 0.402727i \(-0.131938\pi\)
\(660\) −1.74289e8 1.17382e8i −0.606231 0.408290i
\(661\) 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
\(663\) −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 0.685035 0.728510i \(-0.259787\pi\)
0.973426 0.229002i \(-0.0735463\pi\)
\(678\) −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 0.593347 0.804947i \(-0.297806\pi\)
−0.400431 + 0.916327i \(0.631140\pi\)
\(684\) 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 0.535158 0.844752i \(-0.320252\pi\)
−0.999156 + 0.0410845i \(0.986919\pi\)
\(692\) 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 \(-0.936421\pi\)
0.980118 0.198414i \(-0.0635791\pi\)
\(702\) 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 −0.999304 0.0372996i \(-0.988124\pi\)
0.467350 0.884073i \(-0.345209\pi\)
\(710\) 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 −0.610475 0.792036i \(-0.709021\pi\)
0.380686 + 0.924705i \(0.375688\pi\)
\(720\) −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 0.992650 + 0.121018i \(0.0386160\pi\)
−0.391520 + 0.920170i \(0.628051\pi\)
\(734\) 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 0.334960 + 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 \(-0.933265\pi\)
0.978103 0.208122i \(-0.0667352\pi\)
\(744\) −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 0.965830 + 0.259177i \(0.0834515\pi\)
−0.258461 + 0.966022i \(0.583215\pi\)
\(752\) 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 −0.929006 0.370064i \(-0.879336\pi\)
−0.144018 + 0.989575i \(0.546002\pi\)
\(762\) −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