Properties

Label 21.7.h.a.2.4
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 2.4
Character \(\chi\) \(=\) 21.2
Dual form 21.7.h.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.42751 - 4.28827i) q^{2} +(19.2952 + 18.8863i) q^{3} +(4.77856 + 8.27670i) q^{4} +(-88.3745 - 51.0231i) q^{5} +(-62.3258 - 223.022i) q^{6} +(-127.732 + 318.329i) q^{7} +466.932i q^{8} +(15.6130 + 728.833i) q^{9} +O(q^{10})\) \(q+(-7.42751 - 4.28827i) q^{2} +(19.2952 + 18.8863i) 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} +(15.6130 + 728.833i) q^{9} +(437.602 + 757.948i) q^{10} +(-1435.62 + 828.858i) q^{11} +(-64.1131 + 249.950i) 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} +(3009.47 - 5480.36i) q^{18} +(2933.29 - 5080.60i) q^{19} -975.266i q^{20} +(-8476.70 + 3729.84i) q^{21} +14217.5 q^{22} +(11371.0 + 6565.05i) q^{23} +(-8818.63 + 9009.56i) 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} +(-5871.23 + 22889.5i) q^{30} +(6289.55 + 10893.8i) q^{31} +(-8407.73 + 4854.20i) q^{32} +(-43354.8 - 11120.6i) 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} +(-5382.66 - 5268.58i) q^{39} +(23824.3 - 41264.9i) q^{40} +57478.9i q^{41} +(78955.3 + 8646.95i) q^{42} -2510.49 q^{43} +(-13720.4 - 7921.49i) q^{44} +(35807.5 - 65206.9i) 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} +(-149546. - 38359.0i) q^{51} +(-1333.04 - 2308.89i) q^{52} +(21710.2 - 12534.4i) q^{53} +(161572. - 48907.1i) 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} +(18419.2 - 18818.0i) q^{60} +(-73338.1 + 127025. i) q^{61} -107885. i q^{62} +(-234003. - 88125.4i) q^{63} -212180. q^{64} +(24653.2 + 14233.5i) q^{65} +(274330. + 268516. 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} +(-340315. + 7290.22i) q^{72} +(254284. + 440433. i) q^{73} +(566469. - 327051. i) q^{74} +(34961.5 - 136300. i) 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} +(-530953. + 22758.6i) q^{81} +(246485. - 426925. i) q^{82} -701690. i q^{83} +(-71377.2 - 52335.8i) q^{84} +583503. q^{85} +(18646.7 + 10765.7i) q^{86} +(732957. - 748827. 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} +(-84385.9 + 328986. i) q^{93} +(-206019. - 356835. i) q^{94} +(-518456. + 299331. i) q^{95} +(-253907. - 65128.1i) q^{96} +1.47695e6 q^{97} +(282741. + 968598. i) q^{98} +(-626513. - 1.03339e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} - 930 q^{10} - 404 q^{12} + 3632 q^{13} + 5450 q^{15} - 13706 q^{16} + 1612 q^{18} + 6830 q^{19} - 11333 q^{21} - 27348 q^{22} - 54498 q^{24} - 7640 q^{25} + 13268 q^{27} + 88522 q^{28} + 32380 q^{30} + 69410 q^{31} - 85459 q^{33} - 31344 q^{34} + 399028 q^{36} - 71830 q^{37} + 104570 q^{39} + 230250 q^{40} - 467782 q^{42} - 498904 q^{43} - 85375 q^{45} - 342660 q^{46} - 324728 q^{48} + 395668 q^{49} + 42177 q^{51} + 218000 q^{52} - 402122 q^{54} + 231660 q^{55} + 786782 q^{57} + 459522 q^{58} + 1021150 q^{60} + 153158 q^{61} + 179011 q^{63} - 1399412 q^{64} + 80896 q^{66} - 977098 q^{67} - 1520742 q^{69} - 139650 q^{70} - 1001352 q^{72} - 488350 q^{73} + 1434610 q^{75} + 6196280 q^{76} + 245176 q^{78} + 380762 q^{79} + 893531 q^{81} - 3665004 q^{82} + 1231496 q^{84} - 912540 q^{85} + 1452416 q^{87} - 1522482 q^{88} - 11713820 q^{90} - 1529416 q^{91} - 1690071 q^{93} - 3034044 q^{94} + 7549346 q^{96} + 7212176 q^{97} + 435866 q^{99}+O(q^{100}) \) Copy content Toggle raw display

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 −0.0421209 0.999113i \(-0.513411\pi\)
−0.886317 + 0.463079i \(0.846745\pi\)
\(3\) 19.2952 + 18.8863i 0.714639 + 0.699494i
\(4\) 4.77856 + 8.27670i 0.0746649 + 0.129323i
\(5\) −88.3745 51.0231i −0.706996 0.408185i 0.102952 0.994686i \(-0.467171\pi\)
−0.809948 + 0.586502i \(0.800505\pi\)
\(6\) −62.3258 223.022i −0.288545 1.03251i
\(7\) −127.732 + 318.329i −0.372398 + 0.928073i
\(8\) 466.932i 0.911976i
\(9\) 15.6130 + 728.833i 0.0214170 + 0.999771i
\(10\) 437.602 + 757.948i 0.437602 + 0.757948i
\(11\) −1435.62 + 828.858i −1.07861 + 0.622733i −0.930520 0.366242i \(-0.880644\pi\)
−0.148085 + 0.988975i \(0.547311\pi\)
\(12\) −64.1131 + 249.950i −0.0371025 + 0.144647i
\(13\) −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 −0.910585 0.413322i \(-0.864369\pi\)
−0.0973456 + 0.995251i \(0.531035\pi\)
\(18\) 3009.47 5480.36i 0.516027 0.939705i
\(19\) 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
\(21\) −8476.70 + 3729.84i −0.915311 + 0.402747i
\(22\) 14217.5 1.33522
\(23\) 11371.0 + 6565.05i 0.934577 + 0.539578i 0.888256 0.459348i \(-0.151917\pi\)
0.0463208 + 0.998927i \(0.485250\pi\)
\(24\) −8818.63 + 9009.56i −0.637922 + 0.651734i
\(25\) −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 \(-0.707144\pi\)
0.605793 0.795622i \(-0.292856\pi\)
\(30\) −5871.23 + 22889.5i −0.217453 + 0.847759i
\(31\) 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
\(33\) −43354.8 11120.6i −1.20641 0.309448i
\(34\) 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
\(39\) −5382.66 5268.58i −0.0907409 0.0888178i
\(40\) 23824.3 41264.9i 0.372255 0.644764i
\(41\) 57478.9i 0.833983i 0.908910 + 0.416991i \(0.136916\pi\)
−0.908910 + 0.416991i \(0.863084\pi\)
\(42\) 78955.3 + 8646.95i 1.06570 + 0.116712i
\(43\) −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
\(45\) 35807.5 65206.9i 0.392949 0.715576i
\(46\) −56305.4 97523.9i −0.578465 1.00193i
\(47\) 41606.0 + 24021.2i 0.400739 + 0.231367i 0.686803 0.726844i \(-0.259014\pi\)
−0.286064 + 0.958211i \(0.592347\pi\)
\(48\) 120041. 33546.8i 1.08544 0.303338i
\(49\) −85017.9 81321.9i −0.722640 0.691224i
\(50\) 44697.4i 0.357579i
\(51\) −149546. 38359.0i −1.12736 0.289172i
\(52\) −1333.04 2308.89i −0.00948054 0.0164208i
\(53\) 21710.2 12534.4i 0.145826 0.0841928i −0.425312 0.905047i \(-0.639835\pi\)
0.571138 + 0.820854i \(0.306502\pi\)
\(54\) 161572. 48907.1i 1.02609 0.310593i
\(55\) 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 −0.413472 0.910517i \(-0.635684\pi\)
0.581794 + 0.813336i \(0.302351\pi\)
\(60\) 18419.2 18818.0i 0.0852741 0.0871204i
\(61\) −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
\(63\) −234003. 88125.4i −0.935836 0.352436i
\(64\) −212180. −0.809401
\(65\) 24653.2 + 14233.5i 0.0897705 + 0.0518290i
\(66\) 274330. + 268516.i 0.954203 + 0.933981i
\(67\) −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 \(0.333232\pi\)
−0.500277 + 0.865866i \(0.666768\pi\)
\(72\) −340315. + 7290.22i −0.911767 + 0.0195318i
\(73\) 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
\(75\) 34961.5 136300.i 0.0828717 0.323082i
\(76\) 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
\(81\) −530953. + 22758.6i −0.999083 + 0.0428243i
\(82\) 246485. 426925.i 0.447043 0.774302i
\(83\) 701690.i 1.22719i −0.789622 0.613594i \(-0.789723\pi\)
0.789622 0.613594i \(-0.210277\pi\)
\(84\) −71377.2 52335.8i −0.120426 0.0883001i
\(85\) 583503. 0.950138
\(86\) 18646.7 + 10765.7i 0.0293161 + 0.0169257i
\(87\) 732957. 748827.i 1.11307 1.13716i
\(88\) −387020. 670338.i −0.567918 0.983662i
\(89\) 630238. + 363868.i 0.893994 + 0.516148i 0.875247 0.483676i \(-0.160699\pi\)
0.0187473 + 0.999824i \(0.494032\pi\)
\(90\) −545585. + 330772.i −0.748402 + 0.453734i
\(91\) 35632.6 88802.0i 0.0472850 0.117842i
\(92\) 125486.i 0.161150i
\(93\) −84385.9 + 328986.i −0.104911 + 0.409004i
\(94\) −206019. 356835.i −0.248041 0.429620i
\(95\) −518456. + 299331.i −0.604702 + 0.349125i
\(96\) −253907. 65128.1i −0.286987 0.0736130i
\(97\) 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 −0.996666 0.0815908i \(-0.974000\pi\)
−0.427673 + 0.903933i \(0.640667\pi\)
\(102\) 946258. + 926204.i 0.891680 + 0.872783i
\(103\) −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
\(105\) 939432. + 102884.i 0.811517 + 0.0888749i
\(106\) −215003. −0.180521
\(107\) 1.05422e6 + 608652.i 0.860554 + 0.496841i 0.864198 0.503152i \(-0.167827\pi\)
−0.00364376 + 0.999993i \(0.501160\pi\)
\(108\) −183173. 42825.3i −0.145409 0.0339961i
\(109\) 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 \(-0.766257\pi\)
0.742283 0.670086i \(-0.233743\pi\)
\(114\) −1.31590e6 337534.i −0.888198 0.227826i
\(115\) −669938. 1.16037e6i −0.440495 0.762960i
\(116\) 321209. 185450.i 0.205785 0.118810i
\(117\) −4355.45 203317.i −0.00271942 0.126945i
\(118\) −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
\(123\) −1.08557e6 + 1.10907e6i −0.583366 + 0.595997i
\(124\) −60110.0 + 104114.i −0.0315269 + 0.0546062i
\(125\) 2.12629e6i 1.08866i
\(126\) 1.36015e6 + 1.65802e6i 0.679949 + 0.828855i
\(127\) −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
\(129\) −48440.5 47413.9i −0.0225652 0.0220870i
\(130\) −122075. 211439.i −0.0555642 0.0962400i
\(131\) −382494. 220833.i −0.170142 0.0982313i 0.412511 0.910953i \(-0.364652\pi\)
−0.582653 + 0.812721i \(0.697985\pi\)
\(132\) −115131. 411975.i −0.0500577 0.179122i
\(133\) 1.24263e6 + 1.58271e6i 0.528185 + 0.672738i
\(134\) 1.22830e6i 0.510495i
\(135\) 1.92243e6 581911.i 0.781358 0.236513i
\(136\) −1.33497e6 2.31223e6i −0.530706 0.919209i
\(137\) −397020. + 229220.i −0.154401 + 0.0891436i −0.575210 0.818006i \(-0.695080\pi\)
0.420809 + 0.907149i \(0.361746\pi\)
\(138\) 755441. 2.94515e6i 0.287451 1.12065i
\(139\) −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
\(144\) 2.94980e6 + 1.61984e6i 0.987882 + 0.542482i
\(145\) −1.98015e6 + 3.42972e6i −0.649521 + 1.12500i
\(146\) 4.36175e6i 1.40153i
\(147\) −104570. 3.17480e6i −0.0329195 0.999458i
\(148\) −728887. −0.224841
\(149\) −1.24914e6 721194.i −0.377619 0.218019i 0.299163 0.954202i \(-0.403293\pi\)
−0.676782 + 0.736184i \(0.736626\pi\)
\(150\) −844170. + 862447.i −0.250124 + 0.255540i
\(151\) −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
\(156\) 17885.2 69726.9i 0.00471107 0.0183665i
\(157\) 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
\(159\) 655632. + 168172.i 0.163105 + 0.0418371i
\(160\) 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
\(165\) 3.26405e6 + 3.19488e6i 0.726616 + 0.711217i
\(166\) −3.00904e6 + 5.21181e6i −0.657814 + 1.13937i
\(167\) 1.08256e6i 0.232435i 0.993224 + 0.116217i \(0.0370769\pi\)
−0.993224 + 0.116217i \(0.962923\pi\)
\(168\) −1.74158e6 3.95804e6i −0.367296 0.834742i
\(169\) −4.74899e6 −0.983877
\(170\) −4.33397e6 2.50222e6i −0.882144 0.509306i
\(171\) 3.74871e6 + 2.05855e6i 0.749710 + 0.411693i
\(172\) −11996.5 20778.6i −0.00235760 0.00408348i
\(173\) 4.10478e6 + 2.36989e6i 0.792777 + 0.457710i 0.840939 0.541129i \(-0.182003\pi\)
−0.0481622 + 0.998840i \(0.515336\pi\)
\(174\) −8.65521e6 + 2.41879e6i −1.64297 + 0.459146i
\(175\) 1.76958e6 252997.i 0.330184 0.0472065i
\(176\) 7.65254e6i 1.40368i
\(177\) 1.04398e6 + 267785.i 0.188267 + 0.0482911i
\(178\) −3.12073e6 5.40527e6i −0.553346 0.958423i
\(179\) 1.44503e6 834290.i 0.251952 0.145465i −0.368706 0.929546i \(-0.620199\pi\)
0.620658 + 0.784082i \(0.286866\pi\)
\(180\) 710806. 15226.9i 0.121880 0.00261092i
\(181\) 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
\(186\) 2.03756e6 2.08167e6i 0.316644 0.323499i
\(187\) 4.73944e6 8.20895e6i 0.724773 1.25534i
\(188\) 459147.i 0.0691000i
\(189\) −2.85078e6 6.11986e6i −0.422258 0.906476i
\(190\) 5.13445e6 0.748571
\(191\) −3.58555e6 2.07012e6i −0.514583 0.297095i 0.220132 0.975470i \(-0.429351\pi\)
−0.734716 + 0.678375i \(0.762684\pi\)
\(192\) −4.09406e6 4.00730e6i −0.578429 0.566171i
\(193\) −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 \(-0.874419\pi\)
0.923180 0.384368i \(-0.125581\pi\)
\(198\) 221978. + 1.03622e7i 0.0285966 + 1.33492i
\(199\) 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
\(201\) 960757. 3.74559e6i 0.118311 0.461246i
\(202\) 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
\(207\) −4.60729e6 + 8.39006e6i −0.519439 + 0.945919i
\(208\) −643890. + 1.11525e6i −0.0715520 + 0.123932i
\(209\) 9.72511e6i 1.06526i
\(210\) −6.53644e6 4.79271e6i −0.705803 0.517516i
\(211\) −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
\(213\) −1.17059e7 + 1.19593e7i −1.21133 + 1.23756i
\(214\) −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
\(219\) −3.41169e6 + 1.33007e7i −0.324815 + 1.26632i
\(220\) 808357. + 1.40012e6i 0.0759163 + 0.131491i
\(221\) 1.38141e6 797560.i 0.127981 0.0738901i
\(222\) 1.71070e7 + 4.38799e6i 1.56356 + 0.401058i
\(223\) 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 −0.957104 0.289744i \(-0.906430\pi\)
−0.227626 + 0.973749i \(0.573096\pi\)
\(228\) 1.08184e6 + 1.05891e6i 0.0912761 + 0.0893418i
\(229\) −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
\(231\) 9.07784e6 1.23806e7i 0.736455 1.00440i
\(232\) 1.81211e7 1.45118
\(233\) −8.78674e6 5.07303e6i −0.694640 0.401051i 0.110708 0.993853i \(-0.464688\pi\)
−0.805348 + 0.592802i \(0.798022\pi\)
\(234\) −839530. + 1.52882e6i −0.0655222 + 0.119319i
\(235\) −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 \(-0.957893\pi\)
0.991263 0.131898i \(-0.0421070\pi\)
\(240\) −1.23202e7 3.16018e6i −0.891221 0.228601i
\(241\) −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
\(243\) −1.06747e7 9.58863e6i −0.743938 0.668248i
\(244\) −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
\(249\) 1.32524e7 1.35393e7i 0.858410 0.876996i
\(250\) 9.11812e6 1.57931e7i 0.583560 1.01076i
\(251\) 1.63942e7i 1.03674i −0.855157 0.518370i \(-0.826539\pi\)
0.855157 0.518370i \(-0.173461\pi\)
\(252\) −388809. 2.35789e6i −0.0242960 0.147340i
\(253\) −2.17660e7 −1.34405
\(254\) 1.29126e7 + 7.45509e6i 0.787975 + 0.454938i
\(255\) 1.12588e7 + 1.10202e7i 0.679005 + 0.664615i
\(256\) −3.67838e6 6.37114e6i −0.219249 0.379750i
\(257\) −3.24923e6 1.87594e6i −0.191417 0.110515i 0.401229 0.915978i \(-0.368583\pi\)
−0.592646 + 0.805463i \(0.701917\pi\)
\(258\) 156468. + 559893.i 0.00911102 + 0.0326021i
\(259\) −1.61544e7 2.05755e7i −0.929802 1.18427i
\(260\) 272063.i 0.0154792i
\(261\) 2.82852e7 605924.i 1.59088 0.0340798i
\(262\) 1.89398e6 + 3.28047e6i 0.105311 + 0.182403i
\(263\) 3.67446e6 2.12145e6i 0.201988 0.116618i −0.395594 0.918425i \(-0.629461\pi\)
0.597583 + 0.801807i \(0.296128\pi\)
\(264\) 5.19259e6 2.02437e7i 0.282210 1.10022i
\(265\) −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 −0.552670 0.833400i \(-0.686391\pi\)
0.445411 + 0.895326i \(0.353058\pi\)
\(270\) −1.67743e7 3.92177e6i −0.852221 0.199247i
\(271\) −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
\(273\) 2.36468e6 1.04049e6i 0.116221 0.0511386i
\(274\) 3.93183e6 0.191136
\(275\) 7.48188e6 + 4.31966e6i 0.359760 + 0.207707i
\(276\) −2.36997e6 + 2.42128e6i −0.112724 + 0.115164i
\(277\) −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 \(-0.990429\pi\)
0.999548 0.0300646i \(-0.00957132\pi\)
\(282\) 2.76412e6 1.07762e7i 0.123257 0.480526i
\(283\) 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
\(285\) −1.56570e7 4.01607e6i −0.676354 0.173487i
\(286\) −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
\(291\) 2.84981e7 + 2.78942e7i 1.15648 + 1.13197i
\(292\) −2.43022e6 + 4.20926e6i −0.0976106 + 0.169067i
\(293\) 2.73930e7i 1.08902i −0.838754 0.544511i \(-0.816715\pi\)
0.838754 0.544511i \(-0.183285\pi\)
\(294\) −1.28377e7 + 2.40293e7i −0.505180 + 0.945581i
\(295\) −4.07346e6 −0.158671
\(296\) −3.08402e7 1.78056e7i −1.18917 0.686565i
\(297\) 7.42819e6 3.17720e7i 0.283540 1.21276i
\(298\) 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
\(303\) −4.43174e7 1.13676e7i −1.59311 0.408638i
\(304\) −1.35410e7 2.34537e7i −0.481981 0.834815i
\(305\) 1.29624e7 7.48387e6i 0.456864 0.263771i
\(306\) 765678. + 3.57427e7i 0.0267228 + 1.24745i
\(307\) −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 −0.739595 0.673052i \(-0.764983\pi\)
0.213083 + 0.977034i \(0.431650\pi\)
\(312\) 2.46007e6 2.51333e6i 0.0809997 0.0827535i
\(313\) −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
\(315\) 1.61835e7 + 1.97276e7i 0.517774 + 0.631164i
\(316\) 3.08825e6 0.0978703
\(317\) 1.38377e7 + 7.98923e6i 0.434398 + 0.250800i 0.701218 0.712947i \(-0.252640\pi\)
−0.266821 + 0.963746i \(0.585973\pi\)
\(318\) −4.14854e6 4.06062e6i −0.129007 0.126273i
\(319\) 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
\(324\) −2.72556e6 4.28579e6i −0.0801346 0.126007i
\(325\) 726920. + 1.25906e6i 0.0211756 + 0.0366773i
\(326\) −2.35483e7 + 1.35956e7i −0.679685 + 0.392416i
\(327\) −7.11170e6 + 2.77256e7i −0.203390 + 0.792934i
\(328\) −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
\(333\) −4.87338e7 2.67615e7i −1.31977 0.724733i
\(334\) 4.64229e6 8.04069e6i 0.124593 0.215801i
\(335\) 1.46147e7i 0.388737i
\(336\) −4.65421e6 + 4.24976e7i −0.122695 + 1.12033i
\(337\) 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
\(339\) 3.65211e7 3.73118e7i 0.937442 0.957739i
\(340\) 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
\(345\) 8.98845e6 3.50422e7i 0.218891 0.853364i
\(346\) −2.03255e7 3.52048e7i −0.490696 0.849911i
\(347\) −2.47273e6 + 1.42763e6i −0.0591818 + 0.0341686i −0.529299 0.848435i \(-0.677545\pi\)
0.470117 + 0.882604i \(0.344212\pi\)
\(348\) 9.70029e6 + 2.48816e6i 0.230169 + 0.0590391i
\(349\) −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 −0.744934 0.667138i \(-0.767519\pi\)
0.205291 + 0.978701i \(0.434186\pi\)
\(354\) −6.60586e6 6.46586e6i −0.148908 0.145753i
\(355\) 3.16244e7 5.47750e7i 0.706866 1.22433i
\(356\) 6.95506e6i 0.154153i
\(357\) 3.13126e7 4.27051e7i 0.688200 0.938588i
\(358\) −1.43106e7 −0.311896
\(359\) 4.06713e7 + 2.34816e7i 0.879032 + 0.507510i 0.870339 0.492453i \(-0.163900\pi\)
0.00869313 + 0.999962i \(0.497233\pi\)
\(360\) 3.04472e7 + 1.67197e7i 0.652589 + 0.358360i
\(361\) 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
\(366\) 3.29002e7 + 8.43902e6i 0.671052 + 0.172127i
\(367\) 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
\(369\) −4.18925e7 + 897420.i −0.833792 + 0.0178614i
\(370\) −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
\(375\) −4.01579e7 + 4.10273e7i −0.761512 + 0.778000i
\(376\) −1.12163e7 + 1.94272e7i −0.211001 + 0.365465i
\(377\) 1.08262e7i 0.202047i
\(378\) −5.06945e6 + 5.76802e7i −0.0938610 + 1.06795i
\(379\) 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
\(381\) −3.35445e7 3.28336e7i −0.606522 0.593668i
\(382\) 1.77545e7 + 3.07516e7i 0.318506 + 0.551668i
\(383\) 6.91860e7 + 3.99446e7i 1.23146 + 0.710987i 0.967335 0.253501i \(-0.0815820\pi\)
0.264130 + 0.964487i \(0.414915\pi\)
\(384\) 1.77395e7 + 6.34777e7i 0.313292 + 1.12106i
\(385\) −2.16076e7 + 5.38497e7i −0.378639 + 0.943628i
\(386\) 5.33426e7i 0.927497i
\(387\) −39196.3 1.82973e6i −0.000676258 0.0315685i
\(388\) 7.05769e6 + 1.22243e7i 0.120828 + 0.209280i
\(389\) 5.62167e7 3.24567e7i 0.955029 0.551386i 0.0603893 0.998175i \(-0.480766\pi\)
0.894639 + 0.446789i \(0.147432\pi\)
\(390\) 1.63785e6 6.38532e6i 0.0276110 0.107644i
\(391\) −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
\(396\) 5.55922e6 1.01236e7i 0.0895217 0.163023i
\(397\) −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
\(399\) −5.91473e6 + 5.40075e7i −0.0931143 + 0.850227i
\(400\) −2.40583e7 −0.375911
\(401\) 313037. + 180732.i 0.00485470 + 0.00280286i 0.502425 0.864621i \(-0.332441\pi\)
−0.497571 + 0.867423i \(0.665774\pi\)
\(402\) −2.31981e7 + 2.37004e7i −0.357088 + 0.364819i
\(403\) −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
\(408\) 1.79110e7 6.98277e7i 0.263718 1.02813i
\(409\) 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
\(411\) −1.19897e7 3.07540e6i −0.172697 0.0442972i
\(412\) −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
\(417\) −5.40736e7 5.29276e7i −0.745722 0.729918i
\(418\) 4.17039e7 7.22333e7i 0.571016 0.989029i
\(419\) 8.40770e7i 1.14297i −0.820612 0.571486i \(-0.806367\pi\)
0.820612 0.571486i \(-0.193633\pi\)
\(420\) 3.63759e6 + 8.26704e6i 0.0490983 + 0.111584i
\(421\) 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
\(423\) −1.68579e7 + 3.06988e7i −0.222731 + 0.405603i
\(424\) 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
\(429\) 1.20944e7 + 3.10225e6i 0.153183 + 0.0392920i
\(430\) −1.09859e6 1.90282e6i −0.0138176 0.0239327i
\(431\) −1.11174e8 + 6.41866e7i −1.38859 + 0.801701i −0.993156 0.116795i \(-0.962738\pi\)
−0.395431 + 0.918496i \(0.629405\pi\)
\(432\) 2.63242e7 + 8.69662e7i 0.326516 + 1.07870i
\(433\) 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
\(438\) 8.23775e7 8.41611e7i 0.980362 1.00159i
\(439\) 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
\(441\) 5.79427e7 6.32335e7i 0.675589 0.737278i
\(442\) −1.36806e7 −0.158430
\(443\) −6.45405e7 3.72625e7i −0.742371 0.428608i 0.0805598 0.996750i \(-0.474329\pi\)
−0.822931 + 0.568142i \(0.807663\pi\)
\(444\) −1.40640e7 1.37660e7i −0.160680 0.157275i
\(445\) −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 \(0.373304\pi\)
−0.387600 + 0.921828i \(0.626696\pi\)
\(450\) −3.25769e7 + 697862.i −0.357497 + 0.00765829i
\(451\) −4.76419e7 8.25181e7i −0.519349 0.899538i
\(452\) 1.60049e7 9.24044e6i 0.173316 0.100064i
\(453\) 1.80539e7 7.03847e7i 0.194212 0.757153i
\(454\) 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
\(459\) 2.56224e7 1.09593e8i 0.264961 1.13330i
\(460\) 6.40267e6 1.10898e7i 0.0657791 0.113933i
\(461\) 1.22227e8i 1.24756i 0.781598 + 0.623782i \(0.214405\pi\)
−0.781598 + 0.623782i \(0.785595\pi\)
\(462\) −1.20517e8 + 5.30289e7i −1.22215 + 0.537758i
\(463\) −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
\(465\) 2.42434e7 2.47683e7i 0.241121 0.246342i
\(466\) 4.35090e7 + 7.53599e7i 0.429954 + 0.744702i
\(467\) 1.08903e8 + 6.28750e7i 1.06927 + 0.617344i 0.927982 0.372624i \(-0.121542\pi\)
0.141289 + 0.989968i \(0.454875\pi\)
\(468\) 1.66198e6 1.00761e6i 0.0162140 0.00983005i
\(469\) 4.86288e7 6.95247e6i 0.471384 0.0673939i
\(470\) 4.20469e7i 0.404986i
\(471\) −3.71562e7 + 1.44856e8i −0.355605 + 1.38636i
\(472\) 9.31944e6 + 1.61417e7i 0.0886266 + 0.153506i
\(473\) 3.60412e6 2.08084e6i 0.0340577 0.0196632i
\(474\) −7.24811e7 1.85917e7i −0.680597 0.174575i
\(475\) −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 −0.409447 0.912334i \(-0.634278\pi\)
0.585381 + 0.810758i \(0.300945\pi\)
\(480\) 1.91159e7 + 1.87108e7i 0.172851 + 0.169188i
\(481\) 1.06377e7 1.84251e7i 0.0955904 0.165568i
\(482\) 7.18569e6i 0.0641693i
\(483\) −1.20875e8 1.32379e7i −1.07274 0.117484i
\(484\) 9.33213e6 0.0823085
\(485\) −1.30525e8 7.53586e7i −1.14411 0.660553i
\(486\) 3.81678e7 + 1.16996e8i 0.332497 + 1.01920i
\(487\) 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 \(-0.797015\pi\)
0.803469 0.595347i \(-0.202985\pi\)
\(492\) −1.43669e7 3.68515e6i −0.120633 0.0309429i
\(493\) 1.10955e8 + 1.92180e8i 0.925991 + 1.60386i
\(494\) 1.21555e7 7.01800e6i 0.100831 0.0582147i
\(495\) 2.64115e6 + 1.23292e8i 0.0217760 + 1.01653i
\(496\) 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
\(501\) −2.04455e7 + 2.08882e7i −0.162587 + 0.166107i
\(502\) −7.03029e7 + 1.21768e8i −0.555728 + 0.962549i
\(503\) 5.96687e7i 0.468859i 0.972133 + 0.234430i \(0.0753223\pi\)
−0.972133 + 0.234430i \(0.924678\pi\)
\(504\) 4.11486e7 1.09263e8i 0.321413 0.853460i
\(505\) 1.72919e8 1.34267
\(506\) 1.61667e8 + 9.33384e7i 1.24787 + 0.720458i
\(507\) −9.16329e7 8.96910e7i −0.703117 0.688216i
\(508\) −8.30745e6 1.43889e7i −0.0633689 0.109758i
\(509\) 9.49105e7 + 5.47966e7i 0.719715 + 0.415528i 0.814648 0.579956i \(-0.196930\pi\)
−0.0949326 + 0.995484i \(0.530264\pi\)
\(510\) −3.63673e7 1.30134e8i −0.274158 0.981024i
\(511\) −1.72683e8 + 2.46885e7i −1.29416 + 0.185026i
\(512\) 9.31352e7i 0.693912i
\(513\) 3.34537e7 + 1.10520e8i 0.247795 + 0.818629i
\(514\) 1.60891e7 + 2.78671e7i 0.118479 + 0.205212i
\(515\) 1.06675e8 6.15888e7i 0.780981 0.450900i
\(516\) 160955. 627498.i 0.00117154 0.00456734i
\(517\) −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 −0.326046 0.945354i \(-0.605717\pi\)
0.655677 + 0.755041i \(0.272383\pi\)
\(522\) −2.12687e8 1.16794e8i −1.49530 0.821125i
\(523\) 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
\(525\) 3.89227e7 + 2.85392e7i 0.268983 + 0.197226i
\(526\) −3.63894e7 −0.250045
\(527\) −6.22913e7 3.59639e7i −0.425594 0.245717i
\(528\) −1.44528e8 + 1.47658e8i −0.981864 + 1.00312i
\(529\) 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
\(534\) 4.18704e7 1.63235e8i 0.274968 1.07199i
\(535\) −6.21106e7 1.07579e8i −0.405606 0.702530i
\(536\) 5.79132e7 3.34362e7i 0.376082 0.217131i
\(537\) 4.36389e7 + 1.11935e7i 0.281807 + 0.0722843i
\(538\) 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
\(543\) 1.89895e8 + 1.85870e8i 1.18608 + 1.16094i
\(544\) 2.77565e7 4.80757e7i 0.172412 0.298627i
\(545\) 1.08181e8i 0.668283i
\(546\) −2.20256e7 2.41218e6i −0.135316 0.0148194i
\(547\) 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
\(549\) −9.37253e7 5.14680e7i −0.566421 0.311043i
\(550\) −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
\(555\) 2.03543e8 + 5.22096e7i 1.19063 + 0.305401i
\(556\) −1.33916e7 2.31949e7i −0.0779125 0.134948i
\(557\) −2.01129e8 + 1.16122e8i −1.16388 + 0.671968i −0.952232 0.305377i \(-0.901217\pi\)
−0.211651 + 0.977345i \(0.567884\pi\)
\(558\) 7.86303e7 1.68442e6i 0.452572 0.00969497i
\(559\) 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 −0.618350 0.785903i \(-0.712199\pi\)
0.371437 + 0.928458i \(0.378865\pi\)
\(564\) −8.67160e6 + 8.85935e6i −0.0483350 + 0.0493815i
\(565\) −9.86649e7 + 1.70893e8i −0.547038 + 0.947497i
\(566\) 1.28952e8i 0.711177i
\(567\) 6.05752e7 1.71925e8i 0.332312 0.943170i
\(568\) −2.89407e8 −1.57930
\(569\) 1.20964e8 + 6.98384e7i 0.656626 + 0.379103i 0.790990 0.611829i \(-0.209566\pi\)
−0.134364 + 0.990932i \(0.542899\pi\)
\(570\) 9.90704e7 + 9.69709e7i 0.534958 + 0.523621i
\(571\) −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
\(576\) −3.31277e6 1.54644e8i −0.0173350 0.809216i
\(577\) −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
\(579\) 4.17237e7 1.62663e8i 0.214955 0.838018i
\(580\) −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
\(585\) −9.98896e6 + 1.81903e7i −0.0498945 + 0.0908599i
\(586\) −1.17469e8 + 2.03462e8i −0.583753 + 1.01109i
\(587\) 3.46645e8i 1.71384i 0.515447 + 0.856921i \(0.327626\pi\)
−0.515447 + 0.856921i \(0.672374\pi\)
\(588\) 2.57772e7 1.60365e7i 0.126795 0.0788817i
\(589\) 7.37963e7 0.361151
\(590\) 3.02556e7 + 1.74681e7i 0.147316 + 0.0850529i
\(591\) 1.11000e8 1.13404e8i 0.537726 0.549369i
\(592\) 1.76035e8 + 3.04902e8i 0.848465 + 1.46958i
\(593\) −2.16280e8 1.24869e8i −1.03718 0.598813i −0.118143 0.992997i \(-0.537694\pi\)
−0.919032 + 0.394183i \(0.871028\pi\)
\(594\) −1.91420e8 + 2.04133e8i −0.913331 + 0.973987i
\(595\) −7.45323e7 + 1.85746e8i −0.353829 + 0.881798i
\(596\) 1.37851e7i 0.0651134i
\(597\) −1.56118e7 + 6.08641e7i −0.0733721 + 0.286047i
\(598\) 1.57071e7 + 2.72055e7i 0.0734502 + 0.127220i
\(599\) −1.62210e7 + 9.36522e6i −0.0754741 + 0.0435750i −0.537262 0.843415i \(-0.680541\pi\)
0.461788 + 0.886990i \(0.347208\pi\)
\(600\) 6.36430e7 + 1.63246e7i 0.294643 + 0.0755770i
\(601\) −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
\(606\) 2.80420e8 + 2.74478e8i 1.26006 + 1.23336i
\(607\) −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
\(609\) 1.44751e8 + 3.28971e8i 0.640870 + 1.45648i
\(610\) −1.28371e8 −0.565561
\(611\) −1.16065e7 6.70103e6i −0.0508837 0.0293777i
\(612\) 1.91757e7 3.49197e7i 0.0836559 0.152341i
\(613\) 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 \(0.126792\pi\)
−0.921710 + 0.387879i \(0.873208\pi\)
\(618\) 2.70754e8 + 6.94493e7i 1.14712 + 0.294240i
\(619\) −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
\(621\) −2.47356e8 + 7.48735e7i −1.03288 + 0.312646i
\(622\) 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
\(627\) −1.83672e8 + 1.87648e8i −0.745143 + 0.761276i
\(628\) −2.64672e7 + 4.58425e7i −0.106863 + 0.185093i
\(629\) 4.36094e8i 1.75238i
\(630\) −3.56056e7 2.15926e8i −0.142396 0.863542i
\(631\) −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
\(633\) −1.24913e8 1.22266e8i −0.492488 0.482051i
\(634\) −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
\(639\) −4.51735e8 + 9.67704e6i −1.73133 + 0.0370886i
\(640\) −1.24553e8 2.15732e8i −0.475131 0.822951i
\(641\) 4.04341e8 2.33447e8i 1.53523 0.886366i 0.536124 0.844140i \(-0.319888\pi\)
0.999108 0.0422269i \(-0.0134452\pi\)
\(642\) 7.00376e7 2.73048e8i 0.264683 1.03189i
\(643\) 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 −0.0826612 0.996578i \(-0.526342\pi\)
0.821731 + 0.569876i \(0.193009\pi\)
\(648\) −1.06267e7 2.47919e8i −0.0390547 0.911140i
\(649\) −3.30862e7 + 5.73069e7i −0.121035 + 0.209639i
\(650\) 1.24689e7i 0.0454034i
\(651\) −9.39469e7 6.88846e7i −0.340518 0.249677i
\(652\) 3.03001e7 0.109320
\(653\) −8.60382e7 4.96742e7i −0.308995 0.178398i 0.337482 0.941332i \(-0.390425\pi\)
−0.646477 + 0.762934i \(0.723758\pi\)
\(654\) 1.71717e8 1.75435e8i 0.613875 0.627166i
\(655\) 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 \(0.213945\pi\)
−0.782498 + 0.622653i \(0.786055\pi\)
\(660\) −1.08456e7 + 4.22825e7i −0.0377243 + 0.147072i
\(661\) −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
\(663\) 4.17177e7 + 1.07007e7i 0.143146 + 0.0367175i
\(664\) 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
\(669\) 1.59156e8 + 1.55783e8i 0.531549 + 0.520284i
\(670\) 6.26718e7 1.08551e8i 0.208376 0.360918i
\(671\) 2.43147e8i 0.804826i
\(672\) 5.31643e7 7.25071e7i 0.175191 0.238931i
\(673\) 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
\(675\) 9.98860e7 + 2.33530e7i 0.324783 + 0.0759332i
\(676\) −2.26933e7 3.93060e7i −0.0734612 0.127238i
\(677\) 1.91967e8 + 1.10832e8i 0.618671 + 0.357190i 0.776352 0.630300i \(-0.217068\pi\)
−0.157680 + 0.987490i \(0.550401\pi\)
\(678\) −4.31264e8 + 1.20521e8i −1.38374 + 0.386701i
\(679\) −1.88654e8 + 4.70157e8i −0.602640 + 1.50187i
\(680\) 2.72456e8i 0.866503i
\(681\) −4.18498e8 1.07346e8i −1.32511 0.339895i
\(682\) 8.94215e7 + 1.54883e8i 0.281896 + 0.488258i
\(683\) 1.47158e8 8.49617e7i 0.461872 0.266662i −0.250959 0.967998i \(-0.580746\pi\)
0.712831 + 0.701336i \(0.247413\pi\)
\(684\) 875384. + 4.08639e7i 0.00273546 + 0.127694i
\(685\) 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
\(690\) −2.17032e8 + 2.21731e8i −0.660659 + 0.674963i
\(691\) −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
\(693\) 4.08984e8 6.74402e7i 1.22887 0.202637i
\(694\) 2.44883e7 0.0732622
\(695\) 2.47663e8 + 1.42989e8i 0.737747 + 0.425938i
\(696\) 3.49651e8 + 3.42241e8i 1.03707 + 1.01509i
\(697\) −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 \(0.145333\pi\)
−0.897567 + 0.440879i \(0.854667\pi\)
\(702\) −4.50727e7 + 1.36433e7i −0.130287 + 0.0394373i
\(703\) 2.23711e8 + 3.87479e8i 0.643905 + 1.11528i
\(704\) 3.04610e8 1.75867e8i 0.873024 0.504041i
\(705\) 3.28883e7 1.28218e8i 0.0938587 0.365916i
\(706\) 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
\(711\) 2.06482e8 + 1.13387e8i 0.574478 + 0.315467i
\(712\) −1.69902e8 + 2.94278e8i −0.470715 + 0.815301i
\(713\) 1.65165e8i 0.455669i
\(714\) −4.15706e8 + 1.82915e8i −1.14207 + 0.502522i
\(715\) −4.71903e7 −0.129103
\(716\) 1.38103e7 + 7.97340e6i 0.0376240 + 0.0217222i
\(717\) 6.80156e7 6.94882e7i 0.184523 0.188518i
\(718\) −2.01391e8 3.48819e8i −0.544085 0.942383i
\(719\) −5.06681e8 2.92532e8i −1.36316 0.787022i −0.373119 0.927784i \(-0.621712\pi\)
−0.990044 + 0.140762i \(0.955045\pi\)
\(720\) −1.78038e8 2.93661e8i −0.476996 0.786771i
\(721\) −2.55677e8 3.25650e8i −0.682159 0.868851i
\(722\) 1.08315e8i 0.287790i
\(723\) 5.62052e6 2.19121e7i 0.0148717 0.0579787i
\(724\) 4.70283e7 + 8.14554e7i 0.123921 + 0.214637i
\(725\) −1.75159e8 + 1.01128e8i −0.459640 + 0.265373i
\(726\) −2.19025e8 5.61806e7i −0.572379 0.146817i
\(727\) 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
\(732\) −2.70481e7 2.64749e7i −0.0689610 0.0674995i
\(733\) 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
\(735\) −1.52747e8 + 2.85907e8i −0.384689 + 0.720050i
\(736\) −1.27472e8 −0.319729
\(737\) 2.05605e8 + 1.18706e8i 0.513608 + 0.296531i
\(738\) 3.15005e8 + 1.72981e8i 0.783698 + 0.430357i
\(739\) 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 \(0.0956981\pi\)
−0.955146 + 0.296136i \(0.904302\pi\)
\(744\) −1.53614e8 3.94025e7i −0.373002 0.0956764i
\(745\) 7.35951e7 + 1.27470e8i 0.177984 + 0.308277i
\(746\) 6.45861e7 3.72888e7i 0.155569 0.0898177i
\(747\) 5.11415e8 1.09555e7i 1.22691 0.0262827i
\(748\) 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
\(753\) 3.09627e8 3.16331e8i 0.725193 0.740894i
\(754\) 4.64258e7 8.04119e7i 0.108304 0.187588i
\(755\) 2.74630e8i 0.638126i
\(756\) 3.70297e7 5.28392e7i 0.0857007 0.122290i
\(757\) 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
\(759\) −4.19980e8 4.11079e8i −0.960512 0.940157i
\(760\) −1.39767e8 2.42084e8i −0.318393 0.551473i
\(761\) 9.38045e7 + 5.41581e7i 0.212848 + 0.122888i 0.602634 0.798017i \(-0.294118\pi\)
−0.389786 + 0.920905i \(0.627451\pi\)
\(762\) 1.08352e8 + 3.87720e8i 0.244892 + 0.876300i
\(763\) −3.59959e8 + 5.14634e7i −0.810363 + 0.115858i
\(764\) 3