Properties

Label 21.7.h.a.2.11
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 2.11
Character \(\chi\) \(=\) 21.2
Dual form 21.7.h.a.11.11

$q$-expansion

\(f(q)\) \(=\) \(q+(7.42751 + 4.28827i) q^{2} +(6.70842 + 26.1533i) q^{3} +(4.77856 + 8.27670i) q^{4} +(88.3745 + 51.0231i) q^{5} +(-62.3258 + 223.022i) q^{6} +(-127.732 + 318.329i) q^{7} -466.932i q^{8} +(-638.994 + 350.895i) q^{9} +O(q^{10})\) \(q+(7.42751 + 4.28827i) q^{2} +(6.70842 + 26.1533i) q^{3} +(4.77856 + 8.27670i) q^{4} +(88.3745 + 51.0231i) q^{5} +(-62.3258 + 223.022i) q^{6} +(-127.732 + 318.329i) q^{7} -466.932i q^{8} +(-638.994 + 350.895i) q^{9} +(437.602 + 757.948i) q^{10} +(1435.62 - 828.858i) q^{11} +(-184.407 + 180.499i) q^{12} -278.963 q^{13} +(-2313.81 + 1816.64i) q^{14} +(-741.570 + 2653.57i) q^{15} +(2308.16 - 3997.85i) q^{16} +(4951.96 - 2859.02i) q^{17} +(-6250.87 - 133.906i) q^{18} +(2933.29 - 5080.60i) q^{19} +975.266i q^{20} +(-9182.25 - 1205.14i) q^{21} +14217.5 q^{22} +(-11371.0 - 6565.05i) q^{23} +(12211.8 - 3132.37i) q^{24} +(-2605.79 - 4513.37i) q^{25} +(-2072.00 - 1196.27i) q^{26} +(-13463.7 - 14357.9i) q^{27} +(-3245.09 + 463.951i) q^{28} +38808.9i q^{29} +(-16887.3 + 16529.4i) q^{30} +(6289.55 + 10893.8i) q^{31} +(8407.73 - 4854.20i) q^{32} +(31308.2 + 31986.0i) q^{33} +49041.0 q^{34} +(-27530.4 + 21614.9i) q^{35} +(-5957.72 - 3611.99i) q^{36} +(-38133.2 + 66048.7i) q^{37} +(43574.0 - 25157.5i) q^{38} +(-1871.40 - 7295.81i) q^{39} +(23824.3 - 41264.9i) q^{40} -57478.9i q^{41} +(-63033.2 - 48327.2i) q^{42} -2510.49 q^{43} +(13720.4 + 7921.49i) q^{44} +(-74374.6 - 1593.25i) q^{45} +(-56305.4 - 97523.9i) q^{46} +(-41606.0 - 24021.2i) q^{47} +(120041. + 33546.8i) q^{48} +(-85017.9 - 81321.9i) q^{49} -44697.4i q^{50} +(107993. + 110331. i) q^{51} +(-1333.04 - 2308.89i) q^{52} +(-21710.2 + 12534.4i) q^{53} +(-38431.4 - 164379. i) q^{54} +169163. q^{55} +(148638. + 59642.3i) q^{56} +(152552. + 42632.5i) q^{57} +(-166423. + 288253. i) q^{58} +(-34569.8 + 19958.9i) q^{59} +(-25506.5 + 6542.50i) q^{60} +(-73338.1 + 127025. i) q^{61} +107885. i q^{62} +(-30079.9 - 248231. i) q^{63} -212180. q^{64} +(-24653.2 - 14233.5i) q^{65} +(95376.7 + 371834. i) q^{66} +(-71608.3 - 124029. i) q^{67} +(47326.5 + 27324.0i) q^{68} +(95416.5 - 341431. i) q^{69} +(-297173. + 42486.8i) q^{70} -619806. i q^{71} +(163844. + 298367. i) q^{72} +(254284. + 440433. i) q^{73} +(-566469. + 327051. i) q^{74} +(100559. - 98427.7i) q^{75} +56067.5 q^{76} +(80474.0 + 562873. i) q^{77} +(17386.6 - 62214.7i) q^{78} +(161568. - 279844. i) q^{79} +(407965. - 235539. i) q^{80} +(285186. - 448440. i) q^{81} +(246485. - 426925. i) q^{82} +701690. i q^{83} +(-33903.3 - 81757.6i) q^{84} +583503. q^{85} +(-18646.7 - 10765.7i) q^{86} +(-1.01498e6 + 260346. i) q^{87} +(-387020. - 670338. i) q^{88} +(-630238. - 363868. i) q^{89} +(-545585. - 330772. i) q^{90} +(35632.6 - 88802.0i) q^{91} -125486. i q^{92} +(-242717. + 237573. i) q^{93} +(-206019. - 356835. i) q^{94} +(518456. - 299331. i) q^{95} +(183356. + 187326. i) q^{96} +1.47695e6 q^{97} +(-282741. - 968598. i) q^{98} +(-626513. + 1.03339e6i) 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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.42751 + 4.28827i 0.928438 + 0.536034i 0.886317 0.463079i \(-0.153255\pi\)
0.0421209 + 0.999113i \(0.486589\pi\)
\(3\) 6.70842 + 26.1533i 0.248460 + 0.968642i
\(4\) 4.77856 + 8.27670i 0.0746649 + 0.129323i
\(5\) 88.3745 + 51.0231i 0.706996 + 0.408185i 0.809948 0.586502i \(-0.199495\pi\)
−0.102952 + 0.994686i \(0.532829\pi\)
\(6\) −62.3258 + 223.022i −0.288545 + 1.03251i
\(7\) −127.732 + 318.329i −0.372398 + 0.928073i
\(8\) 466.932i 0.911976i
\(9\) −638.994 + 350.895i −0.876535 + 0.481338i
\(10\) 437.602 + 757.948i 0.437602 + 0.757948i
\(11\) 1435.62 828.858i 1.07861 0.622733i 0.148085 0.988975i \(-0.452689\pi\)
0.930520 + 0.366242i \(0.119356\pi\)
\(12\) −184.407 + 180.499i −0.106717 + 0.104455i
\(13\) −278.963 −0.126974 −0.0634872 0.997983i \(-0.520222\pi\)
−0.0634872 + 0.997983i \(0.520222\pi\)
\(14\) −2313.81 + 1816.64i −0.843227 + 0.662041i
\(15\) −741.570 + 2653.57i −0.219724 + 0.786244i
\(16\) 2308.16 3997.85i 0.563515 0.976037i
\(17\) 4951.96 2859.02i 1.00793 0.581929i 0.0973456 0.995251i \(-0.468965\pi\)
0.910585 + 0.413322i \(0.135631\pi\)
\(18\) −6250.87 133.906i −1.07182 0.0229605i
\(19\) 2933.29 5080.60i 0.427655 0.740721i −0.569009 0.822331i \(-0.692673\pi\)
0.996664 + 0.0816105i \(0.0260063\pi\)
\(20\) 975.266i 0.121908i
\(21\) −9182.25 1205.14i −0.991497 0.130131i
\(22\) 14217.5 1.33522
\(23\) −11371.0 6565.05i −0.934577 0.539578i −0.0463208 0.998927i \(-0.514750\pi\)
−0.888256 + 0.459348i \(0.848083\pi\)
\(24\) 12211.8 3132.37i 0.883379 0.226590i
\(25\) −2605.79 4513.37i −0.166771 0.288855i
\(26\) −2072.00 1196.27i −0.117888 0.0680626i
\(27\) −13463.7 14357.9i −0.684028 0.729456i
\(28\) −3245.09 + 463.951i −0.147827 + 0.0211348i
\(29\) 38808.9i 1.59124i 0.605793 + 0.795622i \(0.292856\pi\)
−0.605793 + 0.795622i \(0.707144\pi\)
\(30\) −16887.3 + 16529.4i −0.625454 + 0.612199i
\(31\) 6289.55 + 10893.8i 0.211123 + 0.365675i 0.952066 0.305892i \(-0.0989547\pi\)
−0.740944 + 0.671567i \(0.765621\pi\)
\(32\) 8407.73 4854.20i 0.256584 0.148139i
\(33\) 31308.2 + 31986.0i 0.871196 + 0.890058i
\(34\) 49041.0 1.24774
\(35\) −27530.4 + 21614.9i −0.642109 + 0.504138i
\(36\) −5957.72 3611.99i −0.127695 0.0774175i
\(37\) −38133.2 + 66048.7i −0.752832 + 1.30394i 0.193613 + 0.981078i \(0.437979\pi\)
−0.946445 + 0.322866i \(0.895354\pi\)
\(38\) 43574.0 25157.5i 0.794103 0.458476i
\(39\) −1871.40 7295.81i −0.0315481 0.122993i
\(40\) 23824.3 41264.9i 0.372255 0.644764i
\(41\) 57478.9i 0.833983i −0.908910 0.416991i \(-0.863084\pi\)
0.908910 0.416991i \(-0.136916\pi\)
\(42\) −63033.2 48327.2i −0.850789 0.652294i
\(43\) −2510.49 −0.0315757 −0.0157879 0.999875i \(-0.505026\pi\)
−0.0157879 + 0.999875i \(0.505026\pi\)
\(44\) 13720.4 + 7921.49i 0.161068 + 0.0929927i
\(45\) −74374.6 1593.25i −0.816182 0.0174842i
\(46\) −56305.4 97523.9i −0.578465 1.00193i
\(47\) −41606.0 24021.2i −0.400739 0.231367i 0.286064 0.958211i \(-0.407653\pi\)
−0.686803 + 0.726844i \(0.740986\pi\)
\(48\) 120041. + 33546.8i 1.08544 + 0.303338i
\(49\) −85017.9 81321.9i −0.722640 0.691224i
\(50\) 44697.4i 0.357579i
\(51\) 107993. + 110331.i 0.814111 + 0.831738i
\(52\) −1333.04 2308.89i −0.00948054 0.0164208i
\(53\) −21710.2 + 12534.4i −0.145826 + 0.0841928i −0.571138 0.820854i \(-0.693498\pi\)
0.425312 + 0.905047i \(0.360165\pi\)
\(54\) −38431.4 164379.i −0.244064 1.04392i
\(55\) 169163. 1.01676
\(56\) 148638. + 59642.3i 0.846381 + 0.339618i
\(57\) 152552. + 42632.5i 0.823749 + 0.230206i
\(58\) −166423. + 288253.i −0.852961 + 1.47737i
\(59\) −34569.8 + 19958.9i −0.168322 + 0.0971808i −0.581794 0.813336i \(-0.697649\pi\)
0.413472 + 0.910517i \(0.364316\pi\)
\(60\) −25506.5 + 6542.50i −0.118086 + 0.0302893i
\(61\) −73338.1 + 127025.i −0.323102 + 0.559630i −0.981126 0.193367i \(-0.938059\pi\)
0.658024 + 0.752997i \(0.271392\pi\)
\(62\) 107885.i 0.452676i
\(63\) −30079.9 248231.i −0.120297 0.992738i
\(64\) −212180. −0.809401
\(65\) −24653.2 14233.5i −0.0897705 0.0518290i
\(66\) 95376.7 + 371834.i 0.331750 + 1.29335i
\(67\) −71608.3 124029.i −0.238089 0.412382i 0.722077 0.691813i \(-0.243188\pi\)
−0.960166 + 0.279431i \(0.909854\pi\)
\(68\) 47326.5 + 27324.0i 0.150514 + 0.0868994i
\(69\) 95416.5 341431.i 0.290453 1.03933i
\(70\) −297173. + 42486.8i −0.866393 + 0.123868i
\(71\) 619806.i 1.73173i −0.500277 0.865866i \(-0.666768\pi\)
0.500277 0.865866i \(-0.333232\pi\)
\(72\) 163844. + 298367.i 0.438968 + 0.799379i
\(73\) 254284. + 440433.i 0.653657 + 1.13217i 0.982229 + 0.187689i \(0.0600996\pi\)
−0.328571 + 0.944479i \(0.606567\pi\)
\(74\) −566469. + 327051.i −1.39792 + 0.807087i
\(75\) 100559. 98427.7i 0.238362 0.233310i
\(76\) 56067.5 0.127723
\(77\) 80474.0 + 562873.i 0.176272 + 1.23293i
\(78\) 17386.6 62214.7i 0.0366379 0.131102i
\(79\) 161568. 279844.i 0.327698 0.567590i −0.654356 0.756186i \(-0.727060\pi\)
0.982055 + 0.188596i \(0.0603937\pi\)
\(80\) 407965. 235539.i 0.796806 0.460036i
\(81\) 285186. 448440.i 0.536628 0.843819i
\(82\) 246485. 426925.i 0.447043 0.774302i
\(83\) 701690.i 1.22719i 0.789622 + 0.613594i \(0.210277\pi\)
−0.789622 + 0.613594i \(0.789723\pi\)
\(84\) −33903.3 81757.6i −0.0572011 0.137940i
\(85\) 583503. 0.950138
\(86\) −18646.7 10765.7i −0.0293161 0.0169257i
\(87\) −1.01498e6 + 260346.i −1.54135 + 0.395361i
\(88\) −387020. 670338.i −0.567918 0.983662i
\(89\) −630238. 363868.i −0.893994 0.516148i −0.0187473 0.999824i \(-0.505968\pi\)
−0.875247 + 0.483676i \(0.839301\pi\)
\(90\) −545585. 330772.i −0.748402 0.453734i
\(91\) 35632.6 88802.0i 0.0472850 0.117842i
\(92\) 125486.i 0.161150i
\(93\) −242717. + 237573.i −0.301753 + 0.295358i
\(94\) −206019. 356835.i −0.248041 0.429620i
\(95\) 518456. 299331.i 0.604702 0.349125i
\(96\) 183356. + 187326.i 0.207244 + 0.211731i
\(97\) 1.47695e6 1.61827 0.809135 0.587623i \(-0.199936\pi\)
0.809135 + 0.587623i \(0.199936\pi\)
\(98\) −282741. 968598.i −0.300407 1.02912i
\(99\) −626513. + 1.03339e6i −0.645691 + 1.06502i
\(100\) 24903.9 43134.8i 0.0249039 0.0431348i
\(101\) 1.46750e6 847260.i 1.42434 0.822343i 0.427673 0.903933i \(-0.359333\pi\)
0.996666 + 0.0815908i \(0.0260001\pi\)
\(102\) 328987. + 1.28259e6i 0.310012 + 1.20861i
\(103\) −603539. + 1.04536e6i −0.552323 + 0.956652i 0.445783 + 0.895141i \(0.352925\pi\)
−0.998106 + 0.0615111i \(0.980408\pi\)
\(104\) 130257.i 0.115798i
\(105\) −749987. 575011.i −0.647867 0.496716i
\(106\) −215003. −0.180521
\(107\) −1.05422e6 608652.i −0.860554 0.496841i 0.00364376 0.999993i \(-0.498840\pi\)
−0.864198 + 0.503152i \(0.832173\pi\)
\(108\) 54498.8 180045.i 0.0432629 0.142926i
\(109\) 530058. + 918087.i 0.409302 + 0.708931i 0.994812 0.101734i \(-0.0324390\pi\)
−0.585510 + 0.810665i \(0.699106\pi\)
\(110\) 1.25646e6 + 725419.i 0.943999 + 0.545018i
\(111\) −1.98321e6 554229.i −1.45010 0.405247i
\(112\) 977805. + 1.24541e6i 0.695982 + 0.886457i
\(113\) 1.93373e6i 1.34017i 0.742283 + 0.670086i \(0.233743\pi\)
−0.742283 + 0.670086i \(0.766257\pi\)
\(114\) 950265. + 970839.i 0.641402 + 0.655289i
\(115\) −669938. 1.16037e6i −0.440495 0.762960i
\(116\) −321209. + 185450.i −0.205785 + 0.118810i
\(117\) 178256. 97886.7i 0.111298 0.0611176i
\(118\) −342357. −0.208369
\(119\) 277583. + 1.94154e6i 0.164722 + 1.15214i
\(120\) 1.23904e6 + 346263.i 0.717036 + 0.200383i
\(121\) 488230. 845638.i 0.275593 0.477341i
\(122\) −1.08944e6 + 628988.i −0.599961 + 0.346388i
\(123\) 1.50327e6 385593.i 0.807831 0.207211i
\(124\) −60110.0 + 104114.i −0.0315269 + 0.0546062i
\(125\) 2.12629e6i 1.08866i
\(126\) 841064. 1.97273e6i 0.420453 0.986179i
\(127\) −1.73848e6 −0.848711 −0.424355 0.905496i \(-0.639499\pi\)
−0.424355 + 0.905496i \(0.639499\pi\)
\(128\) −2.11406e6 1.22055e6i −1.00806 0.582005i
\(129\) −16841.4 65657.7i −0.00784530 0.0305856i
\(130\) −122075. 211439.i −0.0555642 0.0962400i
\(131\) 382494. + 220833.i 0.170142 + 0.0982313i 0.582653 0.812721i \(-0.302015\pi\)
−0.412511 + 0.910953i \(0.635348\pi\)
\(132\) −115131. + 411975.i −0.0500577 + 0.179122i
\(133\) 1.24263e6 + 1.58271e6i 0.528185 + 0.672738i
\(134\) 1.22830e6i 0.510495i
\(135\) −457267. 1.95583e6i −0.185853 0.794932i
\(136\) −1.33497e6 2.31223e6i −0.530706 0.919209i
\(137\) 397020. 229220.i 0.154401 0.0891436i −0.420809 0.907149i \(-0.638254\pi\)
0.575210 + 0.818006i \(0.304920\pi\)
\(138\) 2.17285e6 2.12681e6i 0.826786 0.809265i
\(139\) −2.80243e6 −1.04349 −0.521747 0.853100i \(-0.674720\pi\)
−0.521747 + 0.853100i \(0.674720\pi\)
\(140\) −310456. 124573.i −0.113140 0.0453983i
\(141\) 349125. 1.24928e6i 0.124544 0.445659i
\(142\) 2.65790e6 4.60361e6i 0.928267 1.60781i
\(143\) −400486. + 231220.i −0.136955 + 0.0790712i
\(144\) −72074.7 + 3.36452e6i −0.0241377 + 1.12677i
\(145\) −1.98015e6 + 3.42972e6i −0.649521 + 1.12500i
\(146\) 4.36175e6i 1.40153i
\(147\) 1.55650e6 2.76904e6i 0.490002 0.871721i
\(148\) −728887. −0.224841
\(149\) 1.24914e6 + 721194.i 0.377619 + 0.218019i 0.676782 0.736184i \(-0.263374\pi\)
−0.299163 + 0.954202i \(0.596707\pi\)
\(150\) 1.16899e6 299849.i 0.346366 0.0888441i
\(151\) −1.34562e6 2.33067e6i −0.390832 0.676941i 0.601727 0.798701i \(-0.294479\pi\)
−0.992560 + 0.121761i \(0.961146\pi\)
\(152\) −2.37230e6 1.36965e6i −0.675520 0.390012i
\(153\) −2.16106e6 + 3.56452e6i −0.603383 + 0.995236i
\(154\) −1.81603e6 + 4.52583e6i −0.497234 + 1.23919i
\(155\) 1.28365e6i 0.344708i
\(156\) 51442.7 50352.5i 0.0135503 0.0132632i
\(157\) 2.76937e6 + 4.79669e6i 0.715619 + 1.23949i 0.962720 + 0.270498i \(0.0871885\pi\)
−0.247102 + 0.968990i \(0.579478\pi\)
\(158\) 2.40009e6 1.38570e6i 0.608495 0.351315i
\(159\) −473457. 483708.i −0.117785 0.120335i
\(160\) 990706. 0.241871
\(161\) 3.54229e6 2.78115e6i 0.848802 0.666418i
\(162\) 4.04125e6 2.10783e6i 0.950542 0.495783i
\(163\) 1.58521e6 2.74567e6i 0.366037 0.633994i −0.622905 0.782297i \(-0.714048\pi\)
0.988942 + 0.148303i \(0.0473812\pi\)
\(164\) 475736. 274666.i 0.107854 0.0622693i
\(165\) 1.13482e6 + 4.42419e6i 0.252624 + 0.984877i
\(166\) −3.00904e6 + 5.21181e6i −0.657814 + 1.13937i
\(167\) 1.08256e6i 0.232435i −0.993224 0.116217i \(-0.962923\pi\)
0.993224 0.116217i \(-0.0370769\pi\)
\(168\) −562719. + 4.28749e6i −0.118676 + 0.904222i
\(169\) −4.74899e6 −0.983877
\(170\) 4.33397e6 + 2.50222e6i 0.882144 + 0.509306i
\(171\) −91595.0 + 4.27575e6i −0.0183182 + 0.855115i
\(172\) −11996.5 20778.6i −0.00235760 0.00408348i
\(173\) −4.10478e6 2.36989e6i −0.792777 0.457710i 0.0481622 0.998840i \(-0.484664\pi\)
−0.840939 + 0.541129i \(0.817997\pi\)
\(174\) −8.65521e6 2.41879e6i −1.64297 0.459146i
\(175\) 1.76958e6 252997.i 0.330184 0.0472065i
\(176\) 7.65254e6i 1.40368i
\(177\) −753901. 770223.i −0.135955 0.138898i
\(178\) −3.12073e6 5.40527e6i −0.553346 0.958423i
\(179\) −1.44503e6 + 834290.i −0.251952 + 0.145465i −0.620658 0.784082i \(-0.713134\pi\)
0.368706 + 0.929546i \(0.379801\pi\)
\(180\) −342216. 623190.i −0.0586791 0.106857i
\(181\) 9.84153e6 1.65969 0.829845 0.557994i \(-0.188429\pi\)
0.829845 + 0.557994i \(0.188429\pi\)
\(182\) 645468. 506775.i 0.107068 0.0840623i
\(183\) −3.81412e6 1.06590e6i −0.622359 0.173925i
\(184\) −3.06543e6 + 5.30948e6i −0.492083 + 0.852312i
\(185\) −6.74001e6 + 3.89135e6i −1.06450 + 0.614589i
\(186\) −2.82156e6 + 723740.i −0.438481 + 0.112472i
\(187\) 4.73944e6 8.20895e6i 0.724773 1.25534i
\(188\) 459147.i 0.0691000i
\(189\) 6.29028e6 2.45193e6i 0.931719 0.363180i
\(190\) 5.13445e6 0.748571
\(191\) 3.58555e6 + 2.07012e6i 0.514583 + 0.297095i 0.734716 0.678375i \(-0.237316\pi\)
−0.220132 + 0.975470i \(0.570649\pi\)
\(192\) −1.42339e6 5.54921e6i −0.201104 0.784020i
\(193\) −3.10980e6 5.38633e6i −0.432574 0.749240i 0.564520 0.825419i \(-0.309061\pi\)
−0.997094 + 0.0761794i \(0.975728\pi\)
\(194\) 1.09701e7 + 6.33357e6i 1.50246 + 0.867448i
\(195\) 206870. 740248.i 0.0278994 0.0998329i
\(196\) 266814. 1.09227e6i 0.0354357 0.145065i
\(197\) 5.87728e6i 0.768737i 0.923180 + 0.384368i \(0.125581\pi\)
−0.923180 + 0.384368i \(0.874419\pi\)
\(198\) −9.08488e6 + 4.98884e6i −1.17037 + 0.642694i
\(199\) 1.16360e6 + 2.01542e6i 0.147654 + 0.255744i 0.930360 0.366648i \(-0.119495\pi\)
−0.782706 + 0.622392i \(0.786161\pi\)
\(200\) −2.10743e6 + 1.21673e6i −0.263429 + 0.152091i
\(201\) 2.76340e6 2.70484e6i 0.340295 0.333083i
\(202\) 1.45331e7 1.76321
\(203\) −1.23540e7 4.95715e6i −1.47679 0.592575i
\(204\) −397127. + 1.42105e6i −0.0467777 + 0.167385i
\(205\) 2.93275e6 5.07968e6i 0.340419 0.589623i
\(206\) −8.96557e6 + 5.17628e6i −1.02560 + 0.592128i
\(207\) 9.56965e6 + 205001.i 1.07891 + 0.0231123i
\(208\) −643890. + 1.11525e6i −0.0715520 + 0.123932i
\(209\) 9.72511e6i 1.06526i
\(210\) −3.10473e6 7.48704e6i −0.335248 0.808449i
\(211\) −6.47376e6 −0.689143 −0.344572 0.938760i \(-0.611976\pi\)
−0.344572 + 0.938760i \(0.611976\pi\)
\(212\) −207487. 119792.i −0.0217762 0.0125725i
\(213\) 1.62100e7 4.15792e6i 1.67743 0.430266i
\(214\) −5.22013e6 9.04153e6i −0.532647 0.922572i
\(215\) −221863. 128093.i −0.0223239 0.0128887i
\(216\) −6.70415e6 + 6.28664e6i −0.665246 + 0.623817i
\(217\) −4.27120e6 + 610654.i −0.417995 + 0.0597608i
\(218\) 9.09213e6i 0.877599i
\(219\) −9.81294e6 + 9.60498e6i −0.934258 + 0.914459i
\(220\) 808357. + 1.40012e6i 0.0759163 + 0.131491i
\(221\) −1.38141e6 + 797560.i −0.127981 + 0.0738901i
\(222\) −1.23536e7 1.26211e7i −1.12911 1.15355i
\(223\) 8.24843e6 0.743801 0.371901 0.928273i \(-0.378706\pi\)
0.371901 + 0.928273i \(0.378706\pi\)
\(224\) 471296. + 3.29646e6i 0.0419324 + 0.293295i
\(225\) 3.24881e6 + 1.96965e6i 0.285217 + 0.172919i
\(226\) −8.29237e6 + 1.43628e7i −0.718378 + 1.24427i
\(227\) 1.38579e7 8.00086e6i 1.18473 0.684004i 0.227626 0.973749i \(-0.426904\pi\)
0.957104 + 0.289744i \(0.0935702\pi\)
\(228\) 376125. + 1.46635e6i 0.0317342 + 0.123718i
\(229\) −8.75867e6 + 1.51705e7i −0.729343 + 1.26326i 0.227818 + 0.973704i \(0.426841\pi\)
−0.957161 + 0.289556i \(0.906492\pi\)
\(230\) 1.14915e7i 0.944481i
\(231\) −1.41811e7 + 5.88065e6i −1.15047 + 0.477078i
\(232\) 1.81211e7 1.45118
\(233\) 8.78674e6 + 5.07303e6i 0.694640 + 0.401051i 0.805348 0.592802i \(-0.201978\pi\)
−0.110708 + 0.993853i \(0.535312\pi\)
\(234\) 1.74376e6 + 37354.7i 0.136094 + 0.00291540i
\(235\) −2.45127e6 4.24573e6i −0.188881 0.327151i
\(236\) −330388. 190749.i −0.0251355 0.0145120i
\(237\) 8.40272e6 + 2.34823e6i 0.631212 + 0.176399i
\(238\) −6.26412e6 + 1.56112e7i −0.464653 + 1.15799i
\(239\) 3.60131e6i 0.263795i 0.991263 + 0.131898i \(0.0421070\pi\)
−0.991263 + 0.131898i \(0.957893\pi\)
\(240\) 8.89692e6 + 9.08955e6i 0.643585 + 0.657520i
\(241\) −418915. 725582.i −0.0299278 0.0518365i 0.850674 0.525694i \(-0.176194\pi\)
−0.880601 + 0.473858i \(0.842861\pi\)
\(242\) 7.25266e6 4.18732e6i 0.511742 0.295454i
\(243\) 1.36413e7 + 4.45025e6i 0.950689 + 0.310146i
\(244\) −1.40180e6 −0.0964977
\(245\) −3.36413e6 1.15247e7i −0.228757 0.783664i
\(246\) 1.28190e7 + 3.58242e6i 0.861094 + 0.240642i
\(247\) −818278. + 1.41730e6i −0.0543013 + 0.0940526i
\(248\) 5.08667e6 2.93679e6i 0.333487 0.192539i
\(249\) −1.83515e7 + 4.70723e6i −1.18871 + 0.304907i
\(250\) 9.11812e6 1.57931e7i 0.583560 1.01076i
\(251\) 1.63942e7i 1.03674i 0.855157 + 0.518370i \(0.173461\pi\)
−0.855157 + 0.518370i \(0.826539\pi\)
\(252\) 1.91080e6 1.43515e6i 0.119402 0.0896800i
\(253\) −2.17660e7 −1.34405
\(254\) −1.29126e7 7.45509e6i −0.787975 0.454938i
\(255\) 3.91439e6 + 1.52606e7i 0.236071 + 0.920344i
\(256\) −3.67838e6 6.37114e6i −0.219249 0.379750i
\(257\) 3.24923e6 + 1.87594e6i 0.191417 + 0.110515i 0.592646 0.805463i \(-0.298083\pi\)
−0.401229 + 0.915978i \(0.631417\pi\)
\(258\) 156468. 559893.i 0.00911102 0.0326021i
\(259\) −1.61544e7 2.05755e7i −0.929802 1.18427i
\(260\) 272063.i 0.0154792i
\(261\) −1.36178e7 2.47986e7i −0.765926 1.39478i
\(262\) 1.89398e6 + 3.28047e6i 0.105311 + 0.182403i
\(263\) −3.67446e6 + 2.12145e6i −0.201988 + 0.116618i −0.597583 0.801807i \(-0.703872\pi\)
0.395594 + 0.918425i \(0.370539\pi\)
\(264\) 1.49353e7 1.46188e7i 0.811712 0.794510i
\(265\) −2.55817e6 −0.137465
\(266\) 2.44255e6 + 1.70843e7i 0.129777 + 0.907721i
\(267\) 5.28847e6 1.89238e7i 0.277841 0.994203i
\(268\) 684368. 1.18536e6i 0.0355538 0.0615809i
\(269\) 2.08782e6 1.20540e6i 0.107260 0.0619264i −0.445411 0.895326i \(-0.646942\pi\)
0.552670 + 0.833400i \(0.313609\pi\)
\(270\) 4.99078e6 1.64878e7i 0.253558 0.837669i
\(271\) −4.37442e6 + 7.57672e6i −0.219792 + 0.380692i −0.954744 0.297427i \(-0.903871\pi\)
0.734952 + 0.678119i \(0.237205\pi\)
\(272\) 2.63963e7i 1.31170i
\(273\) 2.56151e6 + 336190.i 0.125895 + 0.0165233i
\(274\) 3.93183e6 0.191136
\(275\) −7.48188e6 4.31966e6i −0.359760 0.207707i
\(276\) 3.28187e6 841812.i 0.156097 0.0400394i
\(277\) −5.07001e6 8.78152e6i −0.238545 0.413172i 0.721752 0.692152i \(-0.243337\pi\)
−0.960297 + 0.278980i \(0.910004\pi\)
\(278\) −2.08151e7 1.20176e7i −0.968820 0.559349i
\(279\) −7.84158e6 4.75412e6i −0.361070 0.218906i
\(280\) 1.00927e7 + 1.28548e7i 0.459761 + 0.585588i
\(281\) 1.33415e6i 0.0601293i 0.999548 + 0.0300646i \(0.00957132\pi\)
−0.999548 + 0.0300646i \(0.990429\pi\)
\(282\) 7.95038e6 7.78189e6i 0.354520 0.347006i
\(283\) 7.51770e6 + 1.30210e7i 0.331685 + 0.574495i 0.982842 0.184448i \(-0.0590496\pi\)
−0.651157 + 0.758943i \(0.725716\pi\)
\(284\) 5.12995e6 2.96178e6i 0.223953 0.129300i
\(285\) 1.13065e7 + 1.15513e7i 0.488421 + 0.498996i
\(286\) −3.96615e6 −0.169539
\(287\) 1.82972e7 + 7.34192e6i 0.773997 + 0.310573i
\(288\) −3.66917e6 + 6.05204e6i −0.153600 + 0.253352i
\(289\) 4.27918e6 7.41176e6i 0.177283 0.307063i
\(290\) −2.94151e7 + 1.69828e7i −1.20608 + 0.696331i
\(291\) 9.90801e6 + 3.86272e7i 0.402075 + 1.56752i
\(292\) −2.43022e6 + 4.20926e6i −0.0976106 + 0.169067i
\(293\) 2.73930e7i 1.08902i 0.838754 + 0.544511i \(0.183285\pi\)
−0.838754 + 0.544511i \(0.816715\pi\)
\(294\) 2.34353e7 1.38924e7i 0.922209 0.546682i
\(295\) −4.07346e6 −0.158671
\(296\) 3.08402e7 + 1.78056e7i 1.18917 + 0.686565i
\(297\) −3.12295e7 9.45300e6i −1.19205 0.360828i
\(298\) 6.18535e6 + 1.07133e7i 0.233731 + 0.404833i
\(299\) 3.17209e6 + 1.83140e6i 0.118667 + 0.0685126i
\(300\) 1.29518e6 + 361953.i 0.0479698 + 0.0134057i
\(301\) 320671. 799162.i 0.0117587 0.0293046i
\(302\) 2.30815e7i 0.837997i
\(303\) 3.20033e7 + 3.26962e7i 1.15045 + 1.17536i
\(304\) −1.35410e7 2.34537e7i −0.481981 0.834815i
\(305\) −1.29624e7 + 7.48387e6i −0.456864 + 0.263771i
\(306\) −3.13369e7 + 1.72082e7i −1.09368 + 0.600582i
\(307\) −552266. −0.0190868 −0.00954339 0.999954i \(-0.503038\pi\)
−0.00954339 + 0.999954i \(0.503038\pi\)
\(308\) −4.27418e6 + 3.35578e6i −0.146285 + 0.114853i
\(309\) −3.13884e7 8.77184e6i −1.06388 0.297314i
\(310\) −5.50464e6 + 9.53431e6i −0.184775 + 0.320040i
\(311\) 1.58376e7 9.14385e6i 0.526512 0.303982i −0.213083 0.977034i \(-0.568350\pi\)
0.739595 + 0.673052i \(0.235017\pi\)
\(312\) −3.40665e6 + 873816.i −0.112167 + 0.0287711i
\(313\) −5.92720e6 + 1.02662e7i −0.193293 + 0.334794i −0.946340 0.323174i \(-0.895250\pi\)
0.753046 + 0.657967i \(0.228584\pi\)
\(314\) 4.75032e7i 1.53438i
\(315\) 1.00072e7 2.34721e7i 0.320171 0.750965i
\(316\) 3.08825e6 0.0978703
\(317\) −1.38377e7 7.98923e6i −0.434398 0.250800i 0.266821 0.963746i \(-0.414027\pi\)
−0.701218 + 0.712947i \(0.747360\pi\)
\(318\) −1.44233e6 5.62305e6i −0.0448522 0.174860i
\(319\) 3.21670e7 + 5.57149e7i 0.990920 + 1.71632i
\(320\) −1.87513e7 1.08261e7i −0.572244 0.330385i
\(321\) 8.84615e6 3.16544e7i 0.267448 0.957014i
\(322\) 3.82367e7 5.46671e6i 1.14528 0.163741i
\(323\) 3.35453e7i 0.995460i
\(324\) 5.07438e6 + 217506.i 0.149193 + 0.00639494i
\(325\) 726920. + 1.25906e6i 0.0211756 + 0.0366773i
\(326\) 2.35483e7 1.35956e7i 0.679685 0.392416i
\(327\) −2.04552e7 + 2.00217e7i −0.585006 + 0.572608i
\(328\) −2.68387e7 −0.760573
\(329\) 1.29611e7 1.01761e7i 0.363960 0.285755i
\(330\) −1.05432e7 + 3.77271e7i −0.293381 + 1.04981i
\(331\) 3.30853e7 5.73054e7i 0.912327 1.58020i 0.101559 0.994829i \(-0.467617\pi\)
0.810768 0.585368i \(-0.199050\pi\)
\(332\) −5.80768e6 + 3.35307e6i −0.158704 + 0.0916279i
\(333\) 1.19075e6 5.55855e7i 0.0322469 1.50532i
\(334\) 4.64229e6 8.04069e6i 0.124593 0.215801i
\(335\) 1.46147e7i 0.388737i
\(336\) −2.60121e7 + 3.39276e7i −0.685736 + 0.894407i
\(337\) 6.95350e6 0.181683 0.0908414 0.995865i \(-0.471044\pi\)
0.0908414 + 0.995865i \(0.471044\pi\)
\(338\) −3.52731e7 2.03650e7i −0.913469 0.527392i
\(339\) −5.05735e7 + 1.29723e7i −1.29815 + 0.332979i
\(340\) 2.78830e6 + 4.82948e6i 0.0709420 + 0.122875i
\(341\) 1.80589e7 + 1.04263e7i 0.455436 + 0.262946i
\(342\) −1.90159e7 + 3.13654e7i −0.475378 + 0.784102i
\(343\) 3.67467e7 1.66762e7i 0.910616 0.413253i
\(344\) 1.17223e6i 0.0287963i
\(345\) 2.58532e7 2.53053e7i 0.629590 0.616247i
\(346\) −2.03255e7 3.52048e7i −0.490696 0.849911i
\(347\) 2.47273e6 1.42763e6i 0.0591818 0.0341686i −0.470117 0.882604i \(-0.655788\pi\)
0.529299 + 0.848435i \(0.322455\pi\)
\(348\) −7.00495e6 7.15662e6i −0.166214 0.169813i
\(349\) −2.10065e7 −0.494171 −0.247086 0.968994i \(-0.579473\pi\)
−0.247086 + 0.968994i \(0.579473\pi\)
\(350\) 1.42285e7 + 5.70930e6i 0.331860 + 0.133162i
\(351\) 3.75588e6 + 4.00532e6i 0.0868540 + 0.0926223i
\(352\) 8.04689e6 1.39376e7i 0.184502 0.319566i
\(353\) 2.37372e7 1.37047e7i 0.539643 0.311563i −0.205291 0.978701i \(-0.565814\pi\)
0.744934 + 0.667138i \(0.232481\pi\)
\(354\) −2.29667e6 8.95377e6i −0.0517713 0.201835i
\(355\) 3.16244e7 5.47750e7i 0.706866 1.22433i
\(356\) 6.95506e6i 0.154153i
\(357\) −4.89157e7 + 2.02844e7i −1.07509 + 0.445818i
\(358\) −1.43106e7 −0.311896
\(359\) −4.06713e7 2.34816e7i −0.879032 0.507510i −0.00869313 0.999962i \(-0.502767\pi\)
−0.870339 + 0.492453i \(0.836100\pi\)
\(360\) −743939. + 3.47279e7i −0.0159452 + 0.744338i
\(361\) 6.31458e6 + 1.09372e7i 0.134222 + 0.232479i
\(362\) 7.30980e7 + 4.22032e7i 1.54092 + 0.889650i
\(363\) 2.53915e7 + 7.09594e6i 0.530846 + 0.148351i
\(364\) 905260. 129425.i 0.0187702 0.00268358i
\(365\) 5.18974e7i 1.06725i
\(366\) −2.37585e7 2.42729e7i −0.484592 0.495084i
\(367\) 1.64150e7 + 2.84317e7i 0.332081 + 0.575181i 0.982920 0.184035i \(-0.0589160\pi\)
−0.650839 + 0.759216i \(0.725583\pi\)
\(368\) −5.24921e7 + 3.03063e7i −1.05330 + 0.608121i
\(369\) 2.01691e7 + 3.67287e7i 0.401427 + 0.731015i
\(370\) −6.67486e7 −1.31776
\(371\) −1.21697e6 8.51203e6i −0.0238318 0.166691i
\(372\) −3.12616e6 873639.i −0.0607271 0.0169708i
\(373\) −4.34777e6 + 7.53055e6i −0.0837799 + 0.145111i −0.904871 0.425687i \(-0.860033\pi\)
0.821091 + 0.570798i \(0.193366\pi\)
\(374\) 7.04044e7 4.06480e7i 1.34581 0.777006i
\(375\) 5.56097e7 1.42641e7i 1.05452 0.270489i
\(376\) −1.12163e7 + 1.94272e7i −0.211001 + 0.365465i
\(377\) 1.08262e7i 0.202047i
\(378\) 5.72357e7 + 8.76274e6i 1.05972 + 0.162242i
\(379\) 5.92421e7 1.08821 0.544106 0.839017i \(-0.316869\pi\)
0.544106 + 0.839017i \(0.316869\pi\)
\(380\) 4.95494e6 + 2.86074e6i 0.0903000 + 0.0521347i
\(381\) −1.16625e7 4.54672e7i −0.210871 0.822097i
\(382\) 1.77545e7 + 3.07516e7i 0.318506 + 0.551668i
\(383\) −6.91860e7 3.99446e7i −1.23146 0.710987i −0.264130 0.964487i \(-0.585085\pi\)
−0.967335 + 0.253501i \(0.918418\pi\)
\(384\) 1.77395e7 6.34777e7i 0.313292 1.12106i
\(385\) −2.16076e7 + 5.38497e7i −0.378639 + 0.943628i
\(386\) 5.33426e7i 0.927497i
\(387\) 1.60419e6 880918.i 0.0276772 0.0151986i
\(388\) 7.05769e6 + 1.22243e7i 0.120828 + 0.209280i
\(389\) −5.62167e7 + 3.24567e7i −0.955029 + 0.551386i −0.894639 0.446789i \(-0.852568\pi\)
−0.0603893 + 0.998175i \(0.519234\pi\)
\(390\) 4.71092e6 4.61108e6i 0.0794167 0.0777336i
\(391\) −7.50784e7 −1.25599
\(392\) −3.79718e7 + 3.96976e7i −0.630380 + 0.659031i
\(393\) −3.20959e6 + 1.14849e7i −0.0528776 + 0.189213i
\(394\) −2.52034e7 + 4.36535e7i −0.412069 + 0.713724i
\(395\) 2.85570e7 1.64874e7i 0.463363 0.267523i
\(396\) −1.15469e7 247357.i −0.185943 0.00398326i
\(397\) −2.19560e7 + 3.80290e7i −0.350899 + 0.607776i −0.986407 0.164319i \(-0.947457\pi\)
0.635508 + 0.772094i \(0.280791\pi\)
\(398\) 1.99593e7i 0.316590i
\(399\) −3.30570e7 + 4.31164e7i −0.520410 + 0.678771i
\(400\) −2.40583e7 −0.375911
\(401\) −313037. 180732.i −0.00485470 0.00280286i 0.497571 0.867423i \(-0.334226\pi\)
−0.502425 + 0.864621i \(0.667559\pi\)
\(402\) 3.21242e7 8.23997e6i 0.494487 0.126837i
\(403\) −1.75455e6 3.03897e6i −0.0268072 0.0464314i
\(404\) 1.40250e7 + 8.09736e6i 0.212696 + 0.122800i
\(405\) 4.80840e7 2.50796e7i 0.723828 0.377533i
\(406\) −7.05017e7 8.97965e7i −1.05347 1.34178i
\(407\) 1.26428e8i 1.87525i
\(408\) 5.15170e7 5.04252e7i 0.758525 0.742450i
\(409\) 2.82790e7 + 4.89806e7i 0.413327 + 0.715903i 0.995251 0.0973398i \(-0.0310334\pi\)
−0.581924 + 0.813243i \(0.697700\pi\)
\(410\) 4.35661e7 2.51529e7i 0.632116 0.364952i
\(411\) 8.65824e6 + 8.84570e6i 0.124711 + 0.127411i
\(412\) −1.15362e7 −0.164957
\(413\) −1.93781e6 1.35540e7i −0.0275082 0.192405i
\(414\) 7.01995e7 + 4.25599e7i 0.989311 + 0.599790i
\(415\) −3.58024e7 + 6.20115e7i −0.500919 + 0.867617i
\(416\) −2.34544e6 + 1.35414e6i −0.0325795 + 0.0188098i
\(417\) −1.87999e7 7.32929e7i −0.259267 1.01077i
\(418\) 4.17039e7 7.22333e7i 0.571016 0.989029i
\(419\) 8.40770e7i 1.14297i 0.820612 + 0.571486i \(0.193633\pi\)
−0.820612 + 0.571486i \(0.806367\pi\)
\(420\) 1.17533e6 8.95514e6i 0.0158640 0.120872i
\(421\) 2.82795e7 0.378988 0.189494 0.981882i \(-0.439315\pi\)
0.189494 + 0.981882i \(0.439315\pi\)
\(422\) −4.80839e7 2.77613e7i −0.639827 0.369404i
\(423\) 3.50149e7 + 750088.i 0.462628 + 0.00991039i
\(424\) 5.85270e6 + 1.01372e7i 0.0767819 + 0.132990i
\(425\) −2.58076e7 1.49000e7i −0.336187 0.194098i
\(426\) 1.38230e8 + 3.86299e7i 1.78802 + 0.499683i
\(427\) −3.10682e7 3.95709e7i −0.399055 0.508267i
\(428\) 1.16339e7i 0.148386i
\(429\) −8.73381e6 8.92291e6i −0.110620 0.113015i
\(430\) −1.09859e6 1.90282e6i −0.0138176 0.0239327i
\(431\) 1.11174e8 6.41866e7i 1.38859 0.801701i 0.395431 0.918496i \(-0.370595\pi\)
0.993156 + 0.116795i \(0.0372620\pi\)
\(432\) −8.84770e7 + 2.06856e7i −1.09744 + 0.256577i
\(433\) 1.58472e7 0.195204 0.0976020 0.995226i \(-0.468883\pi\)
0.0976020 + 0.995226i \(0.468883\pi\)
\(434\) −3.43430e7 1.37804e7i −0.420116 0.168575i
\(435\) −1.02982e8 2.87795e7i −1.25111 0.349635i
\(436\) −5.06582e6 + 8.77426e6i −0.0611210 + 0.105865i
\(437\) −6.67088e7 + 3.85144e7i −0.799354 + 0.461507i
\(438\) −1.14074e8 + 2.92605e7i −1.35758 + 0.348224i
\(439\) 3.23972e7 5.61137e7i 0.382926 0.663247i −0.608553 0.793513i \(-0.708250\pi\)
0.991479 + 0.130266i \(0.0415832\pi\)
\(440\) 7.89878e7i 0.927261i
\(441\) 8.28614e7 + 2.21318e7i 0.966132 + 0.258049i
\(442\) −1.36806e7 −0.158430
\(443\) 6.45405e7 + 3.72625e7i 0.742371 + 0.428608i 0.822931 0.568142i \(-0.192337\pi\)
−0.0805598 + 0.996750i \(0.525671\pi\)
\(444\) −4.88968e6 1.90628e7i −0.0558639 0.217790i
\(445\) −3.71313e7 6.43134e7i −0.421367 0.729829i
\(446\) 6.12653e7 + 3.53715e7i 0.690573 + 0.398703i
\(447\) −1.04818e7 + 3.75074e7i −0.117359 + 0.419947i
\(448\) 2.71022e7 6.75430e7i 0.301419 0.751184i
\(449\) 1.66886e8i 1.84366i −0.387600 0.921828i \(-0.626696\pi\)
0.387600 0.921828i \(-0.373304\pi\)
\(450\) 1.56841e7 + 2.85614e7i 0.172116 + 0.313431i
\(451\) −4.76419e7 8.25181e7i −0.519349 0.899538i
\(452\) −1.60049e7 + 9.24044e6i −0.173316 + 0.100064i
\(453\) 5.19280e7 5.08275e7i 0.558607 0.546769i
\(454\) 1.37239e8 1.46660
\(455\) 7.67996e6 6.02975e6i 0.0815314 0.0640126i
\(456\) 1.99065e7 7.12316e7i 0.209942 0.751239i
\(457\) −9.22998e7 + 1.59868e8i −0.967058 + 1.67499i −0.263075 + 0.964775i \(0.584737\pi\)
−0.703982 + 0.710217i \(0.748597\pi\)
\(458\) −1.30110e8 + 7.51192e7i −1.35430 + 0.781906i
\(459\) −1.07721e8 3.26067e7i −1.11394 0.337185i
\(460\) 6.40267e6 1.10898e7i 0.0657791 0.113933i
\(461\) 1.22227e8i 1.24756i −0.781598 0.623782i \(-0.785595\pi\)
0.781598 0.623782i \(-0.214405\pi\)
\(462\) −1.30548e8 1.71341e7i −1.32387 0.173754i
\(463\) −8.10536e6 −0.0816637 −0.0408319 0.999166i \(-0.513001\pi\)
−0.0408319 + 0.999166i \(0.513001\pi\)
\(464\) 1.55152e8 + 8.95770e7i 1.55311 + 0.896690i
\(465\) −3.35717e7 + 8.61126e6i −0.333899 + 0.0856461i
\(466\) 4.35090e7 + 7.53599e7i 0.429954 + 0.744702i
\(467\) −1.08903e8 6.28750e7i −1.06927 0.617344i −0.141289 0.989968i \(-0.545125\pi\)
−0.927982 + 0.372624i \(0.878458\pi\)
\(468\) 1.66198e6 + 1.00761e6i 0.0162140 + 0.00983005i
\(469\) 4.86288e7 6.95247e6i 0.471384 0.0673939i
\(470\) 4.20469e7i 0.404986i
\(471\) −1.06871e8 + 1.04606e8i −1.02282 + 1.00114i
\(472\) 9.31944e6 + 1.61417e7i 0.0886266 + 0.153506i
\(473\) −3.60412e6 + 2.08084e6i −0.0340577 + 0.0196632i
\(474\) 5.23414e7 + 5.34747e7i 0.491485 + 0.502126i
\(475\) −3.05742e7 −0.285282
\(476\) −1.47431e7 + 1.15752e7i −0.136700 + 0.107327i
\(477\) 9.47443e6 1.56274e7i 0.0872967 0.143990i
\(478\) −1.54434e7 + 2.67488e7i −0.141403 + 0.244918i
\(479\) −1.93355e7 + 1.11634e7i −0.175934 + 0.101575i −0.585381 0.810758i \(-0.699055\pi\)
0.409447 + 0.912334i \(0.365722\pi\)
\(480\) 6.64607e6 + 2.59103e7i 0.0600954 + 0.234287i
\(481\) 1.06377e7 1.84251e7i 0.0955904 0.165568i
\(482\) 7.18569e6i 0.0641693i
\(483\) 9.64996e7 + 7.39856e7i 0.856414 + 0.656607i
\(484\) 9.33213e6 0.0823085
\(485\) 1.30525e8 + 7.53586e7i 1.14411 + 0.660553i
\(486\) 8.22373e7 + 9.15521e7i 0.716407 + 0.797553i
\(487\) 227444. + 393944.i 0.00196919 + 0.00341074i 0.867008 0.498294i \(-0.166040\pi\)
−0.865039 + 0.501704i \(0.832707\pi\)
\(488\) 5.93122e7 + 3.42439e7i 0.510369 + 0.294662i
\(489\) 8.24426e7 + 2.30395e7i 0.705059 + 0.197036i
\(490\) 2.44338e7 1.00026e8i 0.207684 0.850205i
\(491\) 1.40943e8i 1.19069i 0.803469 + 0.595347i \(0.202985\pi\)
−0.803469 + 0.595347i \(0.797015\pi\)
\(492\) 1.03749e7 + 1.05995e7i 0.0871140 + 0.0890001i
\(493\) 1.10955e8 + 1.92180e8i 0.925991 + 1.60386i
\(494\) −1.21555e7 + 7.01800e6i −0.100831 + 0.0582147i
\(495\) −1.08094e8 + 5.93586e7i −0.891226 + 0.489405i
\(496\) 5.80691e7 0.475883
\(497\) 1.97302e8 + 7.91692e7i 1.60717 + 0.644892i
\(498\) −1.56492e8 4.37334e7i −1.26708 0.354099i
\(499\) 6.54628e7 1.13385e8i 0.526857 0.912543i −0.472653 0.881248i \(-0.656704\pi\)
0.999510 0.0312944i \(-0.00996293\pi\)
\(500\) 1.75987e7 1.01606e7i 0.140790 0.0812849i
\(501\) 2.83124e7 7.26223e6i 0.225146 0.0577507i
\(502\) −7.03029e7 + 1.21768e8i −0.555728 + 0.962549i
\(503\) 5.96687e7i 0.468859i −0.972133 0.234430i \(-0.924678\pi\)
0.972133 0.234430i \(-0.0753223\pi\)
\(504\) −1.15907e8 + 1.40453e7i −0.905353 + 0.109708i
\(505\) 1.72919e8 1.34267
\(506\) −1.61667e8 9.33384e7i −1.24787 0.720458i
\(507\) −3.18582e7 1.24202e8i −0.244454 0.953025i
\(508\) −8.30745e6 1.43889e7i −0.0633689 0.109758i
\(509\) −9.49105e7 5.47966e7i −0.719715 0.415528i 0.0949326 0.995484i \(-0.469736\pi\)
−0.814648 + 0.579956i \(0.803070\pi\)
\(510\) −3.63673e7 + 1.30134e8i −0.274158 + 0.981024i
\(511\) −1.72683e8 + 2.46885e7i −1.29416 + 0.185026i
\(512\) 9.31352e7i 0.693912i
\(513\) −1.12440e8 + 2.62880e7i −0.832851 + 0.194718i
\(514\) 1.60891e7 + 2.78671e7i 0.118479 + 0.205212i
\(515\) −1.06675e8 + 6.15888e7i −0.780981 + 0.450900i
\(516\) 462951. 453140.i 0.00336966 0.00329825i
\(517\) −7.96407e7 −0.576319
\(518\) −3.17535e7 2.22099e8i −0.228456 1.59793i
\(519\) 3.44441e7 1.23252e8i 0.246384 0.881640i
\(520\) −6.64609e6 + 1.15114e7i −0.0472668 + 0.0818685i
\(521\) −4.66166e7 + 2.69141e7i −0.329631 + 0.190312i −0.655677 0.755041i \(-0.727617\pi\)
0.326046 + 0.945354i \(0.394283\pi\)
\(522\) 5.19673e6 2.42589e8i 0.0365358 1.70553i
\(523\) 1.36233e8 2.35962e8i 0.952306 1.64944i 0.211891 0.977293i \(-0.432038\pi\)
0.740415 0.672149i \(-0.234629\pi\)
\(524\) 4.22105e6i 0.0293377i
\(525\) 1.84878e7 + 4.45832e7i 0.127764 + 0.308101i
\(526\) −3.63894e7 −0.250045
\(527\) 6.22913e7 + 3.59639e7i 0.425594 + 0.245717i
\(528\) 2.00139e8 5.13364e7i 1.35966 0.348758i
\(529\) 1.21818e7 + 2.10995e7i 0.0822894 + 0.142529i
\(530\) −1.90008e7 1.09701e7i −0.127628 0.0736858i
\(531\) 1.50864e7 2.48840e7i 0.100763 0.166202i
\(532\) −7.16164e6 + 1.78479e7i −0.0475639 + 0.118537i
\(533\) 1.60345e7i 0.105895i
\(534\) 1.20431e8 1.17878e8i 0.790884 0.774124i
\(535\) −6.21106e7 1.07579e8i −0.405606 0.702530i
\(536\) −5.79132e7 + 3.34362e7i −0.376082 + 0.217131i
\(537\) −3.15133e7 3.21956e7i −0.203503 0.207909i
\(538\) 2.06764e7 0.132779
\(539\) −1.89458e8 4.62798e7i −1.20989 0.295546i
\(540\) 1.40028e7 1.31307e7i 0.0889267 0.0833887i
\(541\) 6.80986e7 1.17950e8i 0.430077 0.744916i −0.566802 0.823854i \(-0.691820\pi\)
0.996880 + 0.0789380i \(0.0251529\pi\)
\(542\) −6.49821e7 + 3.75174e7i −0.408127 + 0.235632i
\(543\) 6.60211e7 + 2.57389e8i 0.412366 + 1.60765i
\(544\) 2.77565e7 4.80757e7i 0.172412 0.298627i
\(545\) 1.08181e8i 0.668283i
\(546\) 1.75839e7 + 1.34815e7i 0.108028 + 0.0828247i
\(547\) 4.57100e7 0.279286 0.139643 0.990202i \(-0.455404\pi\)
0.139643 + 0.990202i \(0.455404\pi\)
\(548\) 3.79437e6 + 2.19068e6i 0.0230567 + 0.0133118i
\(549\) 2.29006e6 1.06902e8i 0.0138398 0.646057i
\(550\) −3.70478e7 6.41686e7i −0.222676 0.385687i
\(551\) 1.97172e8 + 1.13838e8i 1.17867 + 0.680504i
\(552\) −1.59425e8 4.45530e7i −0.947848 0.264886i
\(553\) 6.84450e7 + 8.71769e7i 0.404731 + 0.515497i
\(554\) 8.69664e7i 0.511472i
\(555\) −1.46987e8 1.50169e8i −0.859802 0.878418i
\(556\) −1.33916e7 2.31949e7i −0.0779125 0.134948i
\(557\) 2.01129e8 1.16122e8i 1.16388 0.671968i 0.211651 0.977345i \(-0.432116\pi\)
0.952232 + 0.305377i \(0.0987825\pi\)
\(558\) −3.78564e7 6.89381e7i −0.217890 0.396786i
\(559\) 700333. 0.00400931
\(560\) 2.28685e7 + 1.59953e8i 0.130219 + 0.910811i
\(561\) 2.46485e8 + 6.88831e7i 1.39606 + 0.390143i
\(562\) −5.72120e6 + 9.90942e6i −0.0322314 + 0.0558263i
\(563\) 4.40626e7 2.54395e7i 0.246913 0.142555i −0.371437 0.928458i \(-0.621135\pi\)
0.618350 + 0.785903i \(0.287801\pi\)
\(564\) 1.20082e7 3.08015e6i 0.0669332 0.0171686i
\(565\) −9.86649e7 + 1.70893e8i −0.547038 + 0.947497i
\(566\) 1.28952e8i 0.711177i
\(567\) 1.06324e8 + 1.48063e8i 0.583287 + 0.812266i
\(568\) −2.89407e8 −1.57930
\(569\) −1.20964e8 6.98384e7i −0.656626 0.379103i 0.134364 0.990932i \(-0.457101\pi\)
−0.790990 + 0.611829i \(0.790434\pi\)
\(570\) 3.44440e7 + 1.34283e8i 0.185990 + 0.725097i
\(571\) −1.08542e8 1.88000e8i −0.583027 1.00983i −0.995118 0.0986895i \(-0.968535\pi\)
0.412092 0.911142i \(-0.364798\pi\)
\(572\) −3.82749e6 2.20980e6i −0.0204515 0.0118077i
\(573\) −3.00871e7 + 1.07661e8i −0.159925 + 0.572263i
\(574\) 1.04419e8 + 1.32996e8i 0.552131 + 0.703237i
\(575\) 6.84286e7i 0.359944i
\(576\) 1.35582e8 7.44528e7i 0.709469 0.389595i
\(577\) −3.81534e7 6.60837e7i −0.198612 0.344007i 0.749466 0.662042i \(-0.230310\pi\)
−0.948079 + 0.318036i \(0.896977\pi\)
\(578\) 6.35672e7 3.67006e7i 0.329192 0.190059i
\(579\) 1.20009e8 1.17465e8i 0.618268 0.605165i
\(580\) −3.78490e7 −0.193986
\(581\) −2.23368e8 8.96285e7i −1.13892 0.457002i
\(582\) −9.20522e7 + 3.29392e8i −0.466944 + 1.67088i
\(583\) −2.07784e7 + 3.59893e7i −0.104859 + 0.181622i
\(584\) 2.05652e8 1.18733e8i 1.03251 0.596120i
\(585\) 2.07477e7 + 444457.i 0.103634 + 0.00222005i
\(586\) −1.17469e8 + 2.03462e8i −0.583753 + 1.01109i
\(587\) 3.46645e8i 1.71384i −0.515447 0.856921i \(-0.672374\pi\)
0.515447 0.856921i \(-0.327626\pi\)
\(588\) 3.03564e7 349320.i 0.149320 0.00171827i
\(589\) 7.37963e7 0.361151
\(590\) −3.02556e7 1.74681e7i −0.147316 0.0850529i
\(591\) −1.53710e8 + 3.94272e7i −0.744631 + 0.191000i
\(592\) 1.76035e8 + 3.04902e8i 0.848465 + 1.46958i
\(593\) 2.16280e8 + 1.24869e8i 1.03718 + 0.598813i 0.919032 0.394183i \(-0.128972\pi\)
0.118143 + 0.992997i \(0.462306\pi\)
\(594\) −1.91420e8 2.04133e8i −0.913331 0.973987i
\(595\) −7.45323e7 + 1.85746e8i −0.353829 + 0.881798i
\(596\) 1.37851e7i 0.0651134i
\(597\) −4.49039e7 + 4.39523e7i −0.211038 + 0.206566i
\(598\) 1.57071e7 + 2.72055e7i 0.0734502 + 0.127220i
\(599\) 1.62210e7 9.36522e6i 0.0754741 0.0435750i −0.461788 0.886990i \(-0.652792\pi\)
0.537262 + 0.843415i \(0.319459\pi\)
\(600\) −4.59590e7 4.69541e7i −0.212773 0.217380i
\(601\) −3.43299e8 −1.58143 −0.790714 0.612185i \(-0.790291\pi\)
−0.790714 + 0.612185i \(0.790291\pi\)
\(602\) 5.80881e6 4.56066e6i 0.0266255 0.0209044i
\(603\) 8.92785e7 + 5.41269e7i 0.407188 + 0.246866i
\(604\) 1.28602e7 2.22745e7i 0.0583629 0.101088i
\(605\) 8.62941e7 4.98219e7i 0.389686 0.224985i
\(606\) 9.74943e7 + 3.80090e8i 0.438088 + 1.70792i
\(607\) −7.52753e7 + 1.30381e8i −0.336579 + 0.582971i −0.983787 0.179342i \(-0.942603\pi\)
0.647208 + 0.762313i \(0.275936\pi\)
\(608\) 5.69551e7i 0.253409i
\(609\) 4.67702e7 3.56353e8i 0.207070 1.57771i
\(610\) −1.28371e8 −0.565561
\(611\) 1.16065e7 + 6.70103e6i 0.0508837 + 0.0293777i
\(612\) −3.98292e7 853219.i −0.173759 0.00372226i
\(613\) 1.53242e7 + 2.65423e7i 0.0665267 + 0.115228i 0.897370 0.441279i \(-0.145475\pi\)
−0.830843 + 0.556506i \(0.812142\pi\)
\(614\) −4.10196e6 2.36826e6i −0.0177209 0.0102312i
\(615\) 1.52525e8 + 4.26247e7i 0.655714 + 0.183246i
\(616\) 2.62823e8 3.75759e7i 1.12440 0.160756i
\(617\) 1.82214e8i 0.775758i −0.921710 0.387879i \(-0.873208\pi\)
0.921710 0.387879i \(-0.126792\pi\)
\(618\) −1.95522e8 1.99755e8i −0.828380 0.846316i
\(619\) −1.32745e8 2.29921e8i −0.559688 0.969409i −0.997522 0.0703528i \(-0.977588\pi\)
0.437834 0.899056i \(-0.355746\pi\)
\(620\) −1.06244e7 + 6.13399e6i −0.0445788 + 0.0257376i
\(621\) 5.88357e7 + 2.51653e8i 0.245678 + 1.05082i
\(622\) 1.56845e8 0.651779
\(623\) 1.96332e8 1.54145e8i 0.811944 0.637480i
\(624\) −3.34870e7 9.35831e6i −0.137823 0.0385162i
\(625\) 6.77745e7 1.17389e8i 0.277604 0.480825i
\(626\) −8.80486e7 + 5.08349e7i −0.358922 + 0.207223i
\(627\) 2.54344e8 6.52401e7i 1.03186 0.264675i
\(628\) −2.64672e7 + 4.58425e7i −0.106863 + 0.185093i
\(629\) 4.36094e8i 1.75238i
\(630\) 1.74983e8 1.31425e8i 0.699802 0.525603i
\(631\) −1.33736e8 −0.532304 −0.266152 0.963931i \(-0.585752\pi\)
−0.266152 + 0.963931i \(0.585752\pi\)
\(632\) −1.30668e8 7.54413e7i −0.517629 0.298853i
\(633\) −4.34287e7 1.69311e8i −0.171224 0.667533i
\(634\) −6.85199e7 1.18680e8i −0.268874 0.465704i
\(635\) −1.53638e8 8.87028e7i −0.600035 0.346431i
\(636\) 1.74107e6 6.23009e6i 0.00676774 0.0242171i
\(637\) 2.37168e7 + 2.26858e7i 0.0917568 + 0.0877678i
\(638\) 5.51764e8i 2.12467i
\(639\) 2.17487e8 + 3.96052e8i 0.833547 + 1.51792i
\(640\) −1.24553e8 2.15732e8i −0.475131 0.822951i
\(641\) −4.04341e8 + 2.33447e8i −1.53523 + 0.886366i −0.536124 + 0.844140i \(0.680112\pi\)
−0.999108 + 0.0422269i \(0.986555\pi\)
\(642\) 2.01447e8 1.97178e8i 0.761301 0.745167i
\(643\) 1.02012e8 0.383723 0.191862 0.981422i \(-0.438548\pi\)
0.191862 + 0.981422i \(0.438548\pi\)
\(644\) 3.99458e7 + 1.60286e7i 0.149559 + 0.0600120i
\(645\) 1.86170e6 6.66177e6i 0.00693795 0.0248262i
\(646\) 1.43851e8 2.49158e8i 0.533601 0.924223i
\(647\) −2.00170e8 + 1.15568e8i −0.739070 + 0.426702i −0.821731 0.569876i \(-0.806991\pi\)
0.0826612 + 0.996578i \(0.473658\pi\)
\(648\) −2.09391e8 1.33163e8i −0.769543 0.489392i
\(649\) −3.30862e7 + 5.73069e7i −0.121035 + 0.209639i
\(650\) 1.24689e7i 0.0454034i
\(651\) −4.46237e7 1.07610e8i −0.161742 0.390039i
\(652\) 3.03001e7 0.109320
\(653\) 8.60382e7 + 4.96742e7i 0.308995 + 0.178398i 0.646477 0.762934i \(-0.276242\pi\)
−0.337482 + 0.941332i \(0.609575\pi\)
\(654\) −2.37789e8 + 6.09938e7i −0.850079 + 0.218048i
\(655\) 2.25351e7 + 3.90320e7i 0.0801930 + 0.138898i
\(656\) −2.29792e8 1.32670e8i −0.813998 0.469962i
\(657\) −3.17032e8 1.92207e8i −1.11791 0.677755i
\(658\) 1.39906e8 2.00024e7i 0.491089 0.0702110i
\(659\) 3.56396e8i 1.24531i −0.782498 0.622653i \(-0.786055\pi\)
0.782498 0.622653i \(-0.213945\pi\)
\(660\) −3.11949e7 + 3.05338e7i −0.108505 + 0.106206i
\(661\) −2.85691e6 4.94832e6i −0.00989219 0.0171338i 0.861037 0.508542i \(-0.169815\pi\)
−0.870929 + 0.491409i \(0.836482\pi\)
\(662\) 4.91482e8 2.83757e8i 1.69408 0.978077i
\(663\) −3.01260e7 3.07782e7i −0.103371 0.105609i
\(664\) 3.27641e8 1.11917
\(665\) 2.90621e7 + 2.03274e8i 0.0988239 + 0.691221i
\(666\) 2.47210e8 4.07755e8i 0.836841 1.38031i
\(667\) 2.54782e8 4.41295e8i 0.858601 1.48714i
\(668\) 8.95999e6 5.17305e6i 0.0300592 0.0173547i
\(669\) 5.53339e7 + 2.15724e8i 0.184805 + 0.720477i
\(670\) 6.26718e7 1.08551e8i 0.208376 0.360918i
\(671\) 2.43147e8i 0.804826i
\(672\) −8.30519e7 + 3.44400e7i −0.273679 + 0.113489i
\(673\) 3.58623e7 0.117650 0.0588251 0.998268i \(-0.481265\pi\)
0.0588251 + 0.998268i \(0.481265\pi\)
\(674\) 5.16472e7 + 2.98185e7i 0.168681 + 0.0973881i
\(675\) −2.97187e7 + 9.81804e7i −0.0966315 + 0.319237i
\(676\) −2.26933e7 3.93060e7i −0.0734612 0.127238i
\(677\) −1.91967e8 1.10832e8i −0.618671 0.357190i 0.157680 0.987490i \(-0.449599\pi\)
−0.776352 + 0.630300i \(0.782932\pi\)
\(678\) −4.31264e8 1.20521e8i −1.38374 0.386701i
\(679\) −1.88654e8 + 4.70157e8i −0.602640 + 1.50187i
\(680\) 2.72456e8i 0.866503i
\(681\) 3.02214e8 + 3.08757e8i 0.956914 + 0.977632i
\(682\) 8.94215e7 + 1.54883e8i 0.281896 + 0.488258i
\(683\) −1.47158e8 + 8.49617e7i −0.461872 + 0.266662i −0.712831 0.701336i \(-0.752587\pi\)
0.250959 + 0.967998i \(0.419254\pi\)
\(684\) −3.58268e7 + 1.96738e7i −0.111954 + 0.0614781i
\(685\) 4.67820e7 0.145548
\(686\) 3.44448e8 + 3.37168e7i 1.06697 + 0.104442i
\(687\) −4.55515e8 1.27299e8i −1.40486 0.392603i
\(688\) −5.79461e6 + 1.00366e7i −0.0177934 + 0.0308191i
\(689\) 6.05633e6 3.49663e6i 0.0185162 0.0106903i
\(690\) 3.00541e8 7.70898e7i 0.914864 0.234666i
\(691\) −2.24103e6 + 3.88158e6i −0.00679226 + 0.0117645i −0.869402 0.494106i \(-0.835495\pi\)
0.862609 + 0.505871i \(0.168829\pi\)
\(692\) 4.52987e7i 0.136700i
\(693\) −2.48932e8 3.31435e8i −0.747964 0.995859i
\(694\) 2.44883e7 0.0732622
\(695\) −2.47663e8 1.42989e8i −0.737747 0.425938i
\(696\) 1.21564e8 + 4.73927e8i 0.360559 + 1.40567i
\(697\) −1.64333e8 2.84634e8i −0.485319 0.840597i
\(698\) −1.56026e8 9.00816e7i −0.458808 0.264893i
\(699\) −7.37314e7 + 2.63835e8i −0.215884 + 0.772503i
\(700\) 1.05500e7 + 1.34373e7i 0.0307581 + 0.0391759i
\(701\) 3.03741e8i 0.881758i −0.897567 0.440879i \(-0.854667\pi\)
0.897567 0.440879i \(-0.145333\pi\)
\(702\) 1.07209e7 + 4.58557e7i 0.0309899 + 0.132551i
\(703\) 2.23711e8 + 3.87479e8i 0.643905 + 1.11528i
\(704\) −3.04610e8 + 1.75867e8i −0.873024 + 0.504041i
\(705\) 9.45958e7 9.25911e7i 0.269963 0.264242i
\(706\) 2.35078e8 0.668033
\(707\) 8.22607e7 + 5.75370e8i 0.232774 + 1.62813i
\(708\) 2.77235e6 9.92037e6i 0.00781176 0.0279530i
\(709\) −8.39000e7 + 1.45319e8i −0.235409 + 0.407741i −0.959392 0.282078i \(-0.908976\pi\)
0.723982 + 0.689819i \(0.242310\pi\)
\(710\) 4.69781e8 2.71228e8i 1.31256 0.757808i
\(711\) −5.04513e6 + 2.35512e8i −0.0140367 + 0.655246i
\(712\) −1.69902e8 + 2.94278e8i −0.470715 + 0.815301i
\(713\) 1.65165e8i 0.455669i
\(714\) −4.50307e8 5.91013e7i −1.23713 0.162369i
\(715\) −4.71903e7 −0.129103
\(716\) −1.38103e7 7.97340e6i −0.0376240 0.0217222i
\(717\) −9.41864e7 + 2.41591e7i −0.255523 + 0.0655426i
\(718\) −2.01391e8 3.48819e8i −0.544085 0.942383i
\(719\) 5.06681e8 + 2.92532e8i 1.36316 + 0.787022i 0.990044 0.140762i \(-0.0449551\pi\)
0.373119 + 0.927784i \(0.378288\pi\)
\(720\) −1.78038e8 + 2.93661e8i −0.476996 + 0.786771i
\(721\) −2.55677e8 3.25650e8i −0.682159 0.868851i
\(722\) 1.08315e8i 0.287790i
\(723\) 1.61661e7 1.58235e7i 0.0427752 0.0418686i
\(724\) 4.70283e7 + 8.14554e7i 0.123921 + 0.214637i
\(725\) 1.75159e8 1.01128e8i 0.459640 0.265373i
\(726\) 1.58166e8 + 1.61591e8i 0.413337 + 0.422286i
\(727\) 6.59467e8 1.71629 0.858144 0.513409i \(-0.171618\pi\)
0.858144 + 0.513409i \(0.171618\pi\)
\(728\) −4.14645e7 1.66380e7i −0.107469 0.0431228i
\(729\) −2.48770e7 + 3.86621e8i −0.0642118 + 0.997936i
\(730\) −2.22550e8 + 3.85468e8i −0.572083 + 0.990877i
\(731\) −1.24319e7 + 7.17753e6i −0.0318261 + 0.0183748i
\(732\) −9.40387e6 3.66618e7i −0.0239758 0.0934717i
\(733\) 7.82392e7 1.35514e8i 0.198661 0.344091i −0.749434 0.662079i \(-0.769674\pi\)
0.948094 + 0.317989i \(0.103007\pi\)
\(734\) 2.81569e8i 0.712026i
\(735\) 2.78840e8 1.65295e8i 0.702253 0.416293i
\(736\) −1.27472e8 −0.319729
\(737\) −2.05605e8 1.18706e8i −0.513608 0.296531i
\(738\) −7.69676e6 + 3.59293e8i −0.0191487 + 0.893881i
\(739\) 1.52213e8 + 2.63641e8i 0.377155 + 0.653251i 0.990647 0.136450i \(-0.0435692\pi\)
−0.613492 + 0.789701i \(0.710236\pi\)
\(740\) −6.44150e7 3.71900e7i −0.158962 0.0917765i
\(741\) −4.25565e7 1.18929e7i −0.104595 0.0292302i
\(742\) 2.74629e7 6.84418e7i 0.0672255 0.167537i
\(743\) 2.42933e8i 0.592272i −0.955146 0.296136i \(-0.904302\pi\)
0.955146 0.296136i \(-0.0956981\pi\)
\(744\) 1.10930e8 + 1.13332e8i 0.269359 + 0.275191i
\(745\) 7.35951e7 + 1.27470e8i 0.177984 + 0.308277i
\(746\) −6.45861e7 + 3.72888e7i −0.155569 + 0.0898177i
\(747\) −2.46220e8 4.48376e8i −0.590692 1.07567i
\(748\) 9.05907e7 0.216461
\(749\) 3.28409e8 2.57843e8i 0.781573 0.613635i
\(750\) 4.74209e8 + 1.32523e8i 1.12405 + 0.314128i
\(751\) −1.14814e8 + 1.98864e8i −0.271066 + 0.469501i −0.969135 0.246530i \(-0.920710\pi\)
0.698069 + 0.716031i \(0.254043\pi\)
\(752\) −1.92066e8 + 1.10890e8i −0.451646 + 0.260758i
\(753\) −4.28764e8 + 1.09979e8i −1.00423 + 0.257588i
\(754\) 4.64258e7 8.04119e7i 0.108304 0.187588i
\(755\) 2.74630e8i 0.638126i
\(756\) 5.03524e7 + 4.03461e7i 0.116534 + 0.0933763i
\(757\) 8.30994e8 1.91562 0.957812 0.287395i \(-0.0927892\pi\)
0.957812 + 0.287395i \(0.0927892\pi\)
\(758\) 4.40021e8 + 2.54046e8i 1.01034 + 0.583318i
\(759\) −1.46015e8 5.69253e8i −0.333943 1.30191i
\(760\) −1.39767e8 2.42084e8i −0.318393 0.551473i
\(761\) −9.38045e7 5.41581e7i −0.212848 0.122888i 0.389786 0.920905i \(-0.372549\pi\)
−0.602634 + 0.798017i \(0.705882\pi\)
\(762\) 1.08352e8 3.87720e8i 0.244892 0.876300i
\(763\) −3.59959e8 + 5.14634e7i −0.810363 + 0.115858i
\(764\) 3.95687e7i 0.0887303i
\(765\) −3.72855e8 + 2.04748e8i −0.832829 + 0.457337i