Properties

Label 18.7.d.a.5.5
Level $18$
Weight $7$
Character 18.5
Analytic conductor $4.141$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.14097350516\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Defining polynomial: \( x^{12} + 370x^{10} + 51793x^{8} + 3491832x^{6} + 117603792x^{4} + 1832032512x^{2} + 10453017600 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{10}\cdot 3^{10} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.5
Root \(8.88570i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.7.d.a.11.5

$q$-expansion

\(f(q)\) \(=\) \(q+(4.89898 - 2.82843i) q^{2} +(-14.9408 + 22.4894i) q^{3} +(16.0000 - 27.7128i) q^{4} +(202.253 + 116.771i) q^{5} +(-9.58533 + 152.434i) q^{6} +(95.5752 + 165.541i) q^{7} -181.019i q^{8} +(-282.543 - 672.020i) q^{9} +O(q^{10})\) \(q+(4.89898 - 2.82843i) q^{2} +(-14.9408 + 22.4894i) q^{3} +(16.0000 - 27.7128i) q^{4} +(202.253 + 116.771i) q^{5} +(-9.58533 + 152.434i) q^{6} +(95.5752 + 165.541i) q^{7} -181.019i q^{8} +(-282.543 - 672.020i) q^{9} +1321.11 q^{10} +(-673.077 + 388.601i) q^{11} +(384.190 + 773.882i) q^{12} +(45.5802 - 78.9472i) q^{13} +(936.442 + 540.655i) q^{14} +(-5647.92 + 2803.88i) q^{15} +(-512.000 - 886.810i) q^{16} -7047.39i q^{17} +(-3284.93 - 2493.06i) q^{18} +2731.10 q^{19} +(6472.09 - 3736.66i) q^{20} +(-5150.89 - 323.897i) q^{21} +(-2198.26 + 3807.50i) q^{22} +(-17228.9 - 9947.14i) q^{23} +(4071.01 + 2704.58i) q^{24} +(19458.3 + 33702.7i) q^{25} -515.681i q^{26} +(19334.7 + 3686.33i) q^{27} +6116.81 q^{28} +(27104.3 - 15648.7i) q^{29} +(-19738.5 + 29710.9i) q^{30} +(6174.50 - 10694.6i) q^{31} +(-5016.55 - 2896.31i) q^{32} +(1316.94 - 20943.1i) q^{33} +(-19933.0 - 34525.0i) q^{34} +44641.5i q^{35} +(-23144.2 - 2922.26i) q^{36} -27972.0 q^{37} +(13379.6 - 7724.70i) q^{38} +(1094.47 + 2204.61i) q^{39} +(21137.7 - 36611.7i) q^{40} +(-37428.2 - 21609.2i) q^{41} +(-26150.2 + 12982.1i) q^{42} +(19256.1 + 33352.5i) q^{43} +24870.5i q^{44} +(21327.2 - 168911. i) q^{45} -112539. q^{46} +(-143771. + 83006.2i) q^{47} +(27593.5 + 1735.13i) q^{48} +(40555.3 - 70243.8i) q^{49} +(190651. + 110073. i) q^{50} +(158491. + 105294. i) q^{51} +(-1458.57 - 2526.31i) q^{52} +54741.5i q^{53} +(105147. - 36627.6i) q^{54} -181509. q^{55} +(29966.1 - 17301.0i) q^{56} +(-40804.8 + 61420.6i) q^{57} +(88522.3 - 153325. i) q^{58} +(-14102.1 - 8141.84i) q^{59} +(-12663.3 + 201382. i) q^{60} +(29443.7 + 50998.0i) q^{61} -69856.5i q^{62} +(84242.8 - 111001. i) q^{63} -32768.0 q^{64} +(18437.4 - 10644.9i) q^{65} +(-52784.4 - 106325. i) q^{66} +(-147998. + 256341. i) q^{67} +(-195303. - 112758. i) q^{68} +(481120. - 238849. i) q^{69} +(126265. + 218698. i) q^{70} -157251. i q^{71} +(-121649. + 51145.7i) q^{72} +80297.0 q^{73} +(-137034. + 79116.8i) q^{74} +(-1.04868e6 - 65942.7i) q^{75} +(43697.5 - 75686.3i) q^{76} +(-128659. - 74281.3i) q^{77} +(11597.3 + 7704.71i) q^{78} +(188424. + 326360. i) q^{79} -239146. i q^{80} +(-371780. + 379749. i) q^{81} -244480. q^{82} +(733992. - 423771. i) q^{83} +(-91390.3 + 137563. i) q^{84} +(822929. - 1.42535e6i) q^{85} +(188670. + 108929. i) q^{86} +(-53032.3 + 843363. i) q^{87} +(70344.3 + 121840. i) q^{88} -1128.91i q^{89} +(-373270. - 887812. i) q^{90} +17425.3 q^{91} +(-551326. + 318308. i) q^{92} +(148261. + 298646. i) q^{93} +(-469554. + 813291. i) q^{94} +(552371. + 318912. i) q^{95} +(140088. - 69545.8i) q^{96} +(675152. + 1.16940e6i) q^{97} -458831. i q^{98} +(451321. + 342525. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9} + 378 q^{11} + 384 q^{12} + 1680 q^{13} - 4752 q^{14} - 10872 q^{15} - 6144 q^{16} - 2976 q^{18} - 2820 q^{19} + 13824 q^{20} + 24876 q^{21} - 3600 q^{22} - 76248 q^{23} - 6144 q^{24} + 8094 q^{25} + 127008 q^{27} + 15360 q^{28} + 97092 q^{29} + 34272 q^{30} + 21480 q^{31} - 246258 q^{33} - 27360 q^{34} + 38208 q^{36} - 25536 q^{37} + 97632 q^{38} + 42204 q^{39} - 410562 q^{41} - 222144 q^{42} + 71430 q^{43} + 13716 q^{45} - 135072 q^{46} + 347652 q^{47} + 55296 q^{48} - 135954 q^{49} + 311040 q^{50} + 336402 q^{51} - 53760 q^{52} - 173520 q^{54} + 580392 q^{55} - 152064 q^{56} - 522282 q^{57} + 159264 q^{58} + 369738 q^{59} - 170496 q^{60} + 135744 q^{61} - 103800 q^{63} - 393216 q^{64} - 753840 q^{65} + 909216 q^{66} - 289938 q^{67} + 744768 q^{68} + 2059272 q^{69} + 155952 q^{70} - 374784 q^{72} - 977700 q^{73} - 2197152 q^{74} - 2115342 q^{75} - 45120 q^{76} - 159192 q^{77} - 631488 q^{78} - 764796 q^{79} - 1428282 q^{81} + 1073088 q^{82} + 396900 q^{83} + 1441536 q^{84} + 1619568 q^{85} + 3264624 q^{86} + 3072636 q^{87} + 115200 q^{88} - 1987200 q^{90} + 355584 q^{91} - 2439936 q^{92} - 2526576 q^{93} - 736848 q^{94} - 2089260 q^{95} - 49152 q^{96} - 38874 q^{97} + 4398804 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.89898 2.82843i 0.612372 0.353553i
\(3\) −14.9408 + 22.4894i −0.553364 + 0.832939i
\(4\) 16.0000 27.7128i 0.250000 0.433013i
\(5\) 202.253 + 116.771i 1.61802 + 0.934165i 0.987431 + 0.158050i \(0.0505206\pi\)
0.630591 + 0.776116i \(0.282813\pi\)
\(6\) −9.58533 + 152.434i −0.0443765 + 0.705713i
\(7\) 95.5752 + 165.541i 0.278645 + 0.482627i 0.971048 0.238884i \(-0.0767814\pi\)
−0.692403 + 0.721511i \(0.743448\pi\)
\(8\) 181.019i 0.353553i
\(9\) −282.543 672.020i −0.387576 0.921838i
\(10\) 1321.11 1.32111
\(11\) −673.077 + 388.601i −0.505693 + 0.291962i −0.731061 0.682312i \(-0.760975\pi\)
0.225369 + 0.974274i \(0.427641\pi\)
\(12\) 384.190 + 773.882i 0.222332 + 0.447849i
\(13\) 45.5802 78.9472i 0.0207466 0.0359341i −0.855466 0.517859i \(-0.826729\pi\)
0.876212 + 0.481925i \(0.160062\pi\)
\(14\) 936.442 + 540.655i 0.341269 + 0.197032i
\(15\) −5647.92 + 2803.88i −1.67346 + 0.830780i
\(16\) −512.000 886.810i −0.125000 0.216506i
\(17\) 7047.39i 1.43444i −0.696848 0.717219i \(-0.745415\pi\)
0.696848 0.717219i \(-0.254585\pi\)
\(18\) −3284.93 2493.06i −0.563260 0.427479i
\(19\) 2731.10 0.398177 0.199088 0.979982i \(-0.436202\pi\)
0.199088 + 0.979982i \(0.436202\pi\)
\(20\) 6472.09 3736.66i 0.809011 0.467083i
\(21\) −5150.89 323.897i −0.556191 0.0349743i
\(22\) −2198.26 + 3807.50i −0.206448 + 0.357579i
\(23\) −17228.9 9947.14i −1.41604 0.817550i −0.420091 0.907482i \(-0.638002\pi\)
−0.995948 + 0.0899317i \(0.971335\pi\)
\(24\) 4071.01 + 2704.58i 0.294489 + 0.195644i
\(25\) 19458.3 + 33702.7i 1.24533 + 2.15697i
\(26\) 515.681i 0.0293401i
\(27\) 19334.7 + 3686.33i 0.982306 + 0.187285i
\(28\) 6116.81 0.278645
\(29\) 27104.3 15648.7i 1.11133 0.641629i 0.172159 0.985069i \(-0.444926\pi\)
0.939175 + 0.343440i \(0.111592\pi\)
\(30\) −19738.5 + 29710.9i −0.731055 + 1.10040i
\(31\) 6174.50 10694.6i 0.207261 0.358986i −0.743590 0.668636i \(-0.766879\pi\)
0.950851 + 0.309650i \(0.100212\pi\)
\(32\) −5016.55 2896.31i −0.153093 0.0883883i
\(33\) 1316.94 20943.1i 0.0366458 0.582773i
\(34\) −19933.0 34525.0i −0.507150 0.878410i
\(35\) 44641.5i 1.04120i
\(36\) −23144.2 2922.26i −0.496061 0.0626342i
\(37\) −27972.0 −0.552228 −0.276114 0.961125i \(-0.589047\pi\)
−0.276114 + 0.961125i \(0.589047\pi\)
\(38\) 13379.6 7724.70i 0.243833 0.140777i
\(39\) 1094.47 + 2204.61i 0.0184505 + 0.0371653i
\(40\) 21137.7 36611.7i 0.330277 0.572057i
\(41\) −37428.2 21609.2i −0.543059 0.313535i 0.203259 0.979125i \(-0.434847\pi\)
−0.746318 + 0.665590i \(0.768180\pi\)
\(42\) −26150.2 + 12982.1i −0.352961 + 0.175226i
\(43\) 19256.1 + 33352.5i 0.242193 + 0.419491i 0.961339 0.275369i \(-0.0887999\pi\)
−0.719146 + 0.694860i \(0.755467\pi\)
\(44\) 24870.5i 0.291962i
\(45\) 21327.2 168911.i 0.234043 1.85361i
\(46\) −112539. −1.15619
\(47\) −143771. + 83006.2i −1.38477 + 0.799497i −0.992720 0.120447i \(-0.961567\pi\)
−0.392050 + 0.919944i \(0.628234\pi\)
\(48\) 27593.5 + 1735.13i 0.249507 + 0.0156895i
\(49\) 40555.3 70243.8i 0.344714 0.597062i
\(50\) 190651. + 110073.i 1.52521 + 0.880581i
\(51\) 158491. + 105294.i 1.19480 + 0.793767i
\(52\) −1458.57 2526.31i −0.0103733 0.0179671i
\(53\) 54741.5i 0.367696i 0.982955 + 0.183848i \(0.0588554\pi\)
−0.982955 + 0.183848i \(0.941145\pi\)
\(54\) 105147. 36627.6i 0.667752 0.232609i
\(55\) −181509. −1.09096
\(56\) 29966.1 17301.0i 0.170634 0.0985158i
\(57\) −40804.8 + 61420.6i −0.220337 + 0.331657i
\(58\) 88522.3 153325.i 0.453700 0.785832i
\(59\) −14102.1 8141.84i −0.0686637 0.0396430i 0.465275 0.885166i \(-0.345955\pi\)
−0.533939 + 0.845523i \(0.679289\pi\)
\(60\) −12663.3 + 201382.i −0.0586263 + 0.932324i
\(61\) 29443.7 + 50998.0i 0.129719 + 0.224680i 0.923568 0.383436i \(-0.125259\pi\)
−0.793849 + 0.608115i \(0.791926\pi\)
\(62\) 69856.5i 0.293111i
\(63\) 84242.8 111001.i 0.336908 0.443920i
\(64\) −32768.0 −0.125000
\(65\) 18437.4 10644.9i 0.0671368 0.0387614i
\(66\) −52784.4 106325.i −0.183600 0.369830i
\(67\) −147998. + 256341.i −0.492076 + 0.852301i −0.999958 0.00912565i \(-0.997095\pi\)
0.507882 + 0.861427i \(0.330429\pi\)
\(68\) −195303. 112758.i −0.621130 0.358609i
\(69\) 481120. 238849.i 1.46456 0.727071i
\(70\) 126265. + 218698.i 0.368120 + 0.637603i
\(71\) 157251.i 0.439358i −0.975572 0.219679i \(-0.929499\pi\)
0.975572 0.219679i \(-0.0705010\pi\)
\(72\) −121649. + 51145.7i −0.325919 + 0.137029i
\(73\) 80297.0 0.206410 0.103205 0.994660i \(-0.467090\pi\)
0.103205 + 0.994660i \(0.467090\pi\)
\(74\) −137034. + 79116.8i −0.338169 + 0.195242i
\(75\) −1.04868e6 65942.7i −2.48575 0.156309i
\(76\) 43697.5 75686.3i 0.0995442 0.172416i
\(77\) −128659. 74281.3i −0.281817 0.162707i
\(78\) 11597.3 + 7704.71i 0.0244385 + 0.0162358i
\(79\) 188424. + 326360.i 0.382169 + 0.661936i 0.991372 0.131078i \(-0.0418438\pi\)
−0.609203 + 0.793014i \(0.708511\pi\)
\(80\) 239146.i 0.467083i
\(81\) −371780. + 379749.i −0.699570 + 0.714564i
\(82\) −244480. −0.443406
\(83\) 733992. 423771.i 1.28368 0.741134i 0.306162 0.951980i \(-0.400955\pi\)
0.977519 + 0.210846i \(0.0676218\pi\)
\(84\) −91390.3 + 137563.i −0.154192 + 0.232094i
\(85\) 822929. 1.42535e6i 1.34000 2.32095i
\(86\) 188670. + 108929.i 0.296625 + 0.171256i
\(87\) −53032.3 + 843363.i −0.0805346 + 1.28073i
\(88\) 70344.3 + 121840.i 0.103224 + 0.178789i
\(89\) 1128.91i 0.00160136i −1.00000 0.000800679i \(-0.999745\pi\)
1.00000 0.000800679i \(-0.000254864\pi\)
\(90\) −373270. 887812.i −0.512030 1.21785i
\(91\) 17425.3 0.0231237
\(92\) −551326. + 318308.i −0.708019 + 0.408775i
\(93\) 148261. + 298646.i 0.184323 + 0.371286i
\(94\) −469554. + 813291.i −0.565330 + 0.979180i
\(95\) 552371. + 318912.i 0.644259 + 0.371963i
\(96\) 140088. 69545.8i 0.158338 0.0786063i
\(97\) 675152. + 1.16940e6i 0.739753 + 1.28129i 0.952607 + 0.304205i \(0.0983908\pi\)
−0.212854 + 0.977084i \(0.568276\pi\)
\(98\) 458831.i 0.487499i
\(99\) 451321. + 342525.i 0.465136 + 0.353009i
\(100\) 1.24533e6 1.24533
\(101\) −137557. + 79418.5i −0.133511 + 0.0770828i −0.565268 0.824907i \(-0.691227\pi\)
0.431757 + 0.901990i \(0.357894\pi\)
\(102\) 1.07426e6 + 67551.6i 1.01230 + 0.0636554i
\(103\) −248614. + 430612.i −0.227517 + 0.394071i −0.957072 0.289851i \(-0.906394\pi\)
0.729555 + 0.683923i \(0.239727\pi\)
\(104\) −14291.0 8250.90i −0.0127046 0.00733502i
\(105\) −1.00396e6 666981.i −0.867257 0.576164i
\(106\) 154832. + 268177.i 0.130000 + 0.225167i
\(107\) 207159.i 0.169103i −0.996419 0.0845516i \(-0.973054\pi\)
0.996419 0.0845516i \(-0.0269458\pi\)
\(108\) 411514. 476838.i 0.326673 0.378530i
\(109\) −2.30287e6 −1.77824 −0.889120 0.457673i \(-0.848683\pi\)
−0.889120 + 0.457673i \(0.848683\pi\)
\(110\) −889208. + 513385.i −0.668075 + 0.385713i
\(111\) 417925. 629073.i 0.305583 0.459973i
\(112\) 97869.0 169514.i 0.0696612 0.120657i
\(113\) −677545. 391181.i −0.469573 0.271108i 0.246488 0.969146i \(-0.420723\pi\)
−0.716061 + 0.698038i \(0.754057\pi\)
\(114\) −26178.5 + 416312.i −0.0176697 + 0.280999i
\(115\) −2.32307e6 4.02367e6i −1.52745 2.64563i
\(116\) 1.00152e6i 0.641629i
\(117\) −65932.5 8324.83i −0.0411663 0.00519778i
\(118\) −92114.4 −0.0560637
\(119\) 1.16663e6 673556.i 0.692298 0.399699i
\(120\) 507557. + 1.02238e6i 0.293725 + 0.591657i
\(121\) −583759. + 1.01110e6i −0.329517 + 0.570739i
\(122\) 288488. + 166559.i 0.158873 + 0.0917251i
\(123\) 1.04518e6 518876.i 0.561665 0.278836i
\(124\) −197584. 342226.i −0.103630 0.179493i
\(125\) 5.43954e6i 2.78504i
\(126\) 98745.9 782065.i 0.0493637 0.390959i
\(127\) 1.19415e6 0.582970 0.291485 0.956575i \(-0.405851\pi\)
0.291485 + 0.956575i \(0.405851\pi\)
\(128\) −160530. + 92681.9i −0.0765466 + 0.0441942i
\(129\) −1.03778e6 65257.4i −0.483432 0.0303991i
\(130\) 60216.4 104298.i 0.0274085 0.0474729i
\(131\) −2.17543e6 1.25598e6i −0.967678 0.558689i −0.0691503 0.997606i \(-0.522029\pi\)
−0.898528 + 0.438917i \(0.855362\pi\)
\(132\) −559321. 371586.i −0.243186 0.161561i
\(133\) 261025. + 452108.i 0.110950 + 0.192171i
\(134\) 1.67441e6i 0.695901i
\(135\) 3.48004e6 + 3.00330e6i 1.41444 + 1.22067i
\(136\) −1.27571e6 −0.507150
\(137\) 703636. 406244.i 0.273644 0.157989i −0.356898 0.934143i \(-0.616166\pi\)
0.630543 + 0.776155i \(0.282832\pi\)
\(138\) 1.68143e6 2.53093e6i 0.639795 0.963037i
\(139\) −350555. + 607179.i −0.130530 + 0.226085i −0.923881 0.382679i \(-0.875001\pi\)
0.793351 + 0.608765i \(0.208335\pi\)
\(140\) 1.23714e6 + 714264.i 0.450853 + 0.260300i
\(141\) 281302. 4.47350e6i 0.100350 1.59584i
\(142\) −444773. 770370.i −0.155336 0.269051i
\(143\) 70850.1i 0.0242288i
\(144\) −451292. + 594636.i −0.151137 + 0.199142i
\(145\) 7.30923e6 2.39755
\(146\) 393373. 227114.i 0.126400 0.0729769i
\(147\) 973808. + 1.96156e6i 0.306564 + 0.617519i
\(148\) −447552. + 775183.i −0.138057 + 0.239122i
\(149\) 265134. + 153075.i 0.0801505 + 0.0462749i 0.539540 0.841960i \(-0.318598\pi\)
−0.459389 + 0.888235i \(0.651932\pi\)
\(150\) −5.32395e6 + 2.64305e6i −1.57747 + 0.783126i
\(151\) −923784. 1.60004e6i −0.268312 0.464730i 0.700114 0.714031i \(-0.253132\pi\)
−0.968426 + 0.249301i \(0.919799\pi\)
\(152\) 494381.i 0.140777i
\(153\) −4.73599e6 + 1.99119e6i −1.32232 + 0.555953i
\(154\) −840396. −0.230103
\(155\) 2.49762e6 1.44200e6i 0.670704 0.387231i
\(156\) 78607.3 + 4942.98i 0.0207057 + 0.00130201i
\(157\) −1.57533e6 + 2.72854e6i −0.407072 + 0.705070i −0.994560 0.104163i \(-0.966784\pi\)
0.587488 + 0.809233i \(0.300117\pi\)
\(158\) 1.84617e6 + 1.06589e6i 0.468060 + 0.270234i
\(159\) −1.23110e6 817883.i −0.306268 0.203470i
\(160\) −676408. 1.17157e6i −0.165139 0.286029i
\(161\) 3.80280e6i 0.911225i
\(162\) −747252. + 2.91193e6i −0.175761 + 0.684915i
\(163\) −1.29782e6 −0.299676 −0.149838 0.988711i \(-0.547875\pi\)
−0.149838 + 0.988711i \(0.547875\pi\)
\(164\) −1.19770e6 + 691493.i −0.271529 + 0.156768i
\(165\) 2.71189e6 4.08202e6i 0.603700 0.908706i
\(166\) 2.39721e6 4.15209e6i 0.524061 0.907700i
\(167\) −1.41556e6 817272.i −0.303933 0.175476i 0.340275 0.940326i \(-0.389480\pi\)
−0.644208 + 0.764850i \(0.722813\pi\)
\(168\) −58631.7 + 932410.i −0.0123653 + 0.196643i
\(169\) 2.40925e6 + 4.17294e6i 0.499139 + 0.864534i
\(170\) 9.31038e6i 1.89505i
\(171\) −771651. 1.83535e6i −0.154324 0.367055i
\(172\) 1.23239e6 0.242193
\(173\) −8.21215e6 + 4.74129e6i −1.58606 + 0.915710i −0.592108 + 0.805859i \(0.701704\pi\)
−0.993948 + 0.109851i \(0.964963\pi\)
\(174\) 2.12559e6 + 4.28162e6i 0.403489 + 0.812756i
\(175\) −3.71946e6 + 6.44229e6i −0.694009 + 1.20206i
\(176\) 689231. + 397928.i 0.126423 + 0.0729905i
\(177\) 393802. 195501.i 0.0710162 0.0352557i
\(178\) −3193.03 5530.50i −0.000566166 0.000980628i
\(179\) 9.23510e6i 1.61021i −0.593133 0.805105i \(-0.702109\pi\)
0.593133 0.805105i \(-0.297891\pi\)
\(180\) −4.33975e6 3.29360e6i −0.744128 0.564747i
\(181\) 4.59474e6 0.774864 0.387432 0.921898i \(-0.373362\pi\)
0.387432 + 0.921898i \(0.373362\pi\)
\(182\) 85366.4 49286.3i 0.0141603 0.00817546i
\(183\) −1.58683e6 99782.6i −0.258926 0.0162818i
\(184\) −1.80062e6 + 3.11877e6i −0.289048 + 0.500645i
\(185\) −5.65742e6 3.26631e6i −0.893517 0.515873i
\(186\) 1.57103e6 + 1.04371e6i 0.244144 + 0.162197i
\(187\) 2.73863e6 + 4.74344e6i 0.418801 + 0.725385i
\(188\) 5.31240e6i 0.799497i
\(189\) 1.23768e6 + 3.55301e6i 0.183326 + 0.526273i
\(190\) 3.60808e6 0.526035
\(191\) 6.79391e6 3.92247e6i 0.975034 0.562936i 0.0742671 0.997238i \(-0.476338\pi\)
0.900767 + 0.434302i \(0.143005\pi\)
\(192\) 489581. 736931.i 0.0691705 0.104117i
\(193\) 2.71892e6 4.70931e6i 0.378203 0.655066i −0.612598 0.790395i \(-0.709876\pi\)
0.990801 + 0.135328i \(0.0432089\pi\)
\(194\) 6.61511e6 + 3.81924e6i 0.906008 + 0.523084i
\(195\) −36074.7 + 573689.i −0.00486517 + 0.0773701i
\(196\) −1.29777e6 2.24780e6i −0.172357 0.298531i
\(197\) 1.01096e7i 1.32232i 0.750246 + 0.661159i \(0.229935\pi\)
−0.750246 + 0.661159i \(0.770065\pi\)
\(198\) 3.17982e6 + 401493.i 0.409644 + 0.0517229i
\(199\) −6.91799e6 −0.877851 −0.438925 0.898523i \(-0.644641\pi\)
−0.438925 + 0.898523i \(0.644641\pi\)
\(200\) 6.10084e6 3.52232e6i 0.762606 0.440291i
\(201\) −3.55372e6 7.15833e6i −0.437618 0.881502i
\(202\) −449259. + 778139.i −0.0545058 + 0.0944068i
\(203\) 5.18100e6 + 2.99125e6i 0.619335 + 0.357573i
\(204\) 5.45385e6 2.70754e6i 0.642411 0.318922i
\(205\) −5.04663e6 8.74102e6i −0.585787 1.01461i
\(206\) 2.81275e6i 0.321758i
\(207\) −1.81676e6 + 1.43887e7i −0.204826 + 1.62222i
\(208\) −93348.3 −0.0103733
\(209\) −1.83824e6 + 1.06131e6i −0.201355 + 0.116252i
\(210\) −6.80488e6 427904.i −0.734789 0.0462049i
\(211\) 4.27596e6 7.40617e6i 0.455183 0.788400i −0.543516 0.839399i \(-0.682907\pi\)
0.998699 + 0.0509990i \(0.0162405\pi\)
\(212\) 1.51704e6 + 875863.i 0.159217 + 0.0919240i
\(213\) 3.53648e6 + 2.34946e6i 0.365959 + 0.243125i
\(214\) −585933. 1.01487e6i −0.0597870 0.103554i
\(215\) 8.99417e6i 0.904994i
\(216\) 667297. 3.49996e6i 0.0662153 0.347297i
\(217\) 2.36052e6 0.231008
\(218\) −1.12817e7 + 6.51351e6i −1.08895 + 0.628703i
\(219\) −1.19970e6 + 1.80583e6i −0.114220 + 0.171927i
\(220\) −2.90414e6 + 5.03012e6i −0.272741 + 0.472401i
\(221\) −556372. 321222.i −0.0515452 0.0297597i
\(222\) 268121. 4.26389e6i 0.0245060 0.389715i
\(223\) 2.62933e6 + 4.55413e6i 0.237099 + 0.410668i 0.959881 0.280409i \(-0.0904700\pi\)
−0.722782 + 0.691077i \(0.757137\pi\)
\(224\) 1.10726e6i 0.0985158i
\(225\) 1.71511e7 2.25988e7i 1.50572 1.98398i
\(226\) −4.42570e6 −0.383404
\(227\) −7.00311e6 + 4.04325e6i −0.598706 + 0.345663i −0.768532 0.639811i \(-0.779013\pi\)
0.169827 + 0.985474i \(0.445679\pi\)
\(228\) 1.04926e6 + 2.11355e6i 0.0885276 + 0.178323i
\(229\) 6.10057e6 1.05665e7i 0.508001 0.879883i −0.491957 0.870620i \(-0.663718\pi\)
0.999957 0.00926306i \(-0.00294857\pi\)
\(230\) −2.27613e7 1.31413e7i −1.87074 1.08007i
\(231\) 3.59281e6 1.78363e6i 0.291473 0.144700i
\(232\) −2.83272e6 4.90641e6i −0.226850 0.392916i
\(233\) 5.57473e6i 0.440713i 0.975419 + 0.220357i \(0.0707221\pi\)
−0.975419 + 0.220357i \(0.929278\pi\)
\(234\) −346548. + 145702.i −0.0270468 + 0.0113715i
\(235\) −3.87708e7 −2.98745
\(236\) −451266. + 260539.i −0.0343318 + 0.0198215i
\(237\) −1.01549e7 638556.i −0.762832 0.0479683i
\(238\) 3.81021e6 6.59947e6i 0.282630 0.489529i
\(239\) 1.42628e7 + 8.23463e6i 1.04475 + 0.603185i 0.921174 0.389151i \(-0.127231\pi\)
0.123573 + 0.992336i \(0.460565\pi\)
\(240\) 5.37825e6 + 3.57305e6i 0.389052 + 0.258467i
\(241\) −2.30270e6 3.98840e6i −0.164508 0.284936i 0.771972 0.635656i \(-0.219270\pi\)
−0.936480 + 0.350720i \(0.885937\pi\)
\(242\) 6.60448e6i 0.466007i
\(243\) −2.98560e6 1.40349e7i −0.208071 0.978114i
\(244\) 1.88440e6 0.129719
\(245\) 1.64048e7 9.47133e6i 1.11551 0.644040i
\(246\) 3.65273e6 5.49819e6i 0.245365 0.369330i
\(247\) 124484. 215612.i 0.00826080 0.0143081i
\(248\) −1.93592e6 1.11770e6i −0.126921 0.0732777i
\(249\) −1.43613e6 + 2.28385e7i −0.0930240 + 1.47935i
\(250\) 1.53853e7 + 2.66482e7i 0.984662 + 1.70548i
\(251\) 1.58119e7i 0.999913i −0.866051 0.499956i \(-0.833349\pi\)
0.866051 0.499956i \(-0.166651\pi\)
\(252\) −1.72826e6 4.11062e6i −0.107996 0.256865i
\(253\) 1.54619e7 0.954774
\(254\) 5.85010e6 3.37756e6i 0.356995 0.206111i
\(255\) 1.97601e7 + 3.98031e7i 1.19170 + 2.40047i
\(256\) −524288. + 908093.i −0.0312500 + 0.0541266i
\(257\) 1.62608e7 + 9.38815e6i 0.957946 + 0.553071i 0.895540 0.444980i \(-0.146789\pi\)
0.0624061 + 0.998051i \(0.480123\pi\)
\(258\) −5.26863e6 + 2.61558e6i −0.306788 + 0.152303i
\(259\) −2.67343e6 4.63052e6i −0.153876 0.266520i
\(260\) 681271.i 0.0387614i
\(261\) −1.81744e7 1.37932e7i −1.02220 0.775790i
\(262\) −1.42098e7 −0.790106
\(263\) −7.38572e6 + 4.26415e6i −0.406000 + 0.234404i −0.689069 0.724695i \(-0.741981\pi\)
0.283070 + 0.959099i \(0.408647\pi\)
\(264\) −3.79111e6 238392.i −0.206041 0.0129563i
\(265\) −6.39220e6 + 1.10716e7i −0.343489 + 0.594940i
\(266\) 2.55751e6 + 1.47658e6i 0.135885 + 0.0784534i
\(267\) 25388.4 + 16866.8i 0.00133383 + 0.000886134i
\(268\) 4.73595e6 + 8.20290e6i 0.246038 + 0.426150i
\(269\) 1.62898e7i 0.836871i −0.908247 0.418436i \(-0.862579\pi\)
0.908247 0.418436i \(-0.137421\pi\)
\(270\) 2.55433e7 + 4.87005e6i 1.29773 + 0.247424i
\(271\) 2.43919e7 1.22557 0.612785 0.790250i \(-0.290049\pi\)
0.612785 + 0.790250i \(0.290049\pi\)
\(272\) −6.24970e6 + 3.60826e6i −0.310565 + 0.179305i
\(273\) −260349. + 391885.i −0.0127958 + 0.0192606i
\(274\) 2.29806e6 3.98036e6i 0.111715 0.193496i
\(275\) −2.61938e7 1.51230e7i −1.25951 0.727177i
\(276\) 1.07872e6 1.71548e7i 0.0513078 0.815939i
\(277\) 1.65615e7 + 2.86854e7i 0.779223 + 1.34965i 0.932390 + 0.361453i \(0.117719\pi\)
−0.153168 + 0.988200i \(0.548947\pi\)
\(278\) 3.96608e6i 0.184598i
\(279\) −8.93151e6 1.12772e6i −0.411256 0.0519264i
\(280\) 8.08098e6 0.368120
\(281\) −3.13249e6 + 1.80854e6i −0.141179 + 0.0815098i −0.568926 0.822389i \(-0.692641\pi\)
0.427747 + 0.903899i \(0.359308\pi\)
\(282\) −1.12749e7 2.27112e7i −0.502764 1.01273i
\(283\) 1.61928e7 2.80467e7i 0.714435 1.23744i −0.248742 0.968570i \(-0.580017\pi\)
0.963177 0.268868i \(-0.0866494\pi\)
\(284\) −4.35787e6 2.51602e6i −0.190248 0.109839i
\(285\) −1.54250e7 + 7.65767e6i −0.666333 + 0.330797i
\(286\) 200394. + 347093.i 0.00856618 + 0.0148371i
\(287\) 8.26120e6i 0.349460i
\(288\) −528986. + 4.18956e6i −0.0221445 + 0.175384i
\(289\) −2.55282e7 −1.05761
\(290\) 3.58078e7 2.06736e7i 1.46819 0.847662i
\(291\) −3.63864e7 2.28804e6i −1.47659 0.0928507i
\(292\) 1.28475e6 2.22526e6i 0.0516025 0.0893781i
\(293\) −1.44996e7 8.37133e6i −0.576437 0.332806i 0.183279 0.983061i \(-0.441329\pi\)
−0.759716 + 0.650255i \(0.774662\pi\)
\(294\) 1.03188e7 + 6.85531e6i 0.406057 + 0.269765i
\(295\) −1.90146e6 3.29342e6i −0.0740662 0.128286i
\(296\) 5.06348e6i 0.195242i
\(297\) −1.44463e7 + 5.03231e6i −0.551425 + 0.192087i
\(298\) 1.73185e6 0.0654426
\(299\) −1.57060e6 + 906785.i −0.0587559 + 0.0339227i
\(300\) −1.86063e7 + 2.80067e7i −0.689121 + 1.03728i
\(301\) −3.68080e6 + 6.37534e6i −0.134972 + 0.233778i
\(302\) −9.05120e6 5.22571e6i −0.328613 0.189725i
\(303\) 269144. 4.28015e6i 0.00967511 0.153862i
\(304\) −1.39832e6 2.42196e6i −0.0497721 0.0862078i
\(305\) 1.37527e7i 0.484716i
\(306\) −1.75696e7 + 2.31502e7i −0.613192 + 0.807961i
\(307\) 1.09311e7 0.377790 0.188895 0.981997i \(-0.439509\pi\)
0.188895 + 0.981997i \(0.439509\pi\)
\(308\) −4.11708e6 + 2.37700e6i −0.140909 + 0.0813536i
\(309\) −5.96969e6 1.20249e7i −0.202338 0.407573i
\(310\) 8.15719e6 1.41287e7i 0.273814 0.474260i
\(311\) 4.40580e7 + 2.54369e7i 1.46468 + 0.845635i 0.999222 0.0394328i \(-0.0125551\pi\)
0.465461 + 0.885068i \(0.345888\pi\)
\(312\) 399077. 198120.i 0.0131399 0.00652324i
\(313\) −1.19934e7 2.07732e7i −0.391120 0.677440i 0.601478 0.798890i \(-0.294579\pi\)
−0.992598 + 0.121450i \(0.961246\pi\)
\(314\) 1.78228e7i 0.575687i
\(315\) 3.00000e7 1.26131e7i 0.959819 0.403544i
\(316\) 1.20592e7 0.382169
\(317\) 1.93571e7 1.11758e7i 0.607662 0.350834i −0.164388 0.986396i \(-0.552565\pi\)
0.772050 + 0.635562i \(0.219232\pi\)
\(318\) −8.34446e6 524715.i −0.259488 0.0163171i
\(319\) −1.21622e7 + 2.10655e7i −0.374662 + 0.648934i
\(320\) −6.62742e6 3.82634e6i −0.202253 0.116771i
\(321\) 4.65886e6 + 3.09512e6i 0.140853 + 0.0935756i
\(322\) −1.07559e7 1.86298e7i −0.322167 0.558009i
\(323\) 1.92471e7i 0.571160i
\(324\) 4.57542e6 + 1.63791e7i 0.134523 + 0.481564i
\(325\) 3.54765e6 0.103345
\(326\) −6.35800e6 + 3.67079e6i −0.183513 + 0.105952i
\(327\) 3.44069e7 5.17902e7i 0.984015 1.48117i
\(328\) −3.91168e6 + 6.77522e6i −0.110851 + 0.192000i
\(329\) −2.74819e7 1.58667e7i −0.771718 0.445551i
\(330\) 1.73982e6 2.76681e7i 0.0484131 0.769906i
\(331\) 2.20105e7 + 3.81233e7i 0.606941 + 1.05125i 0.991742 + 0.128252i \(0.0409368\pi\)
−0.384801 + 0.923000i \(0.625730\pi\)
\(332\) 2.71213e7i 0.741134i
\(333\) 7.90329e6 + 1.87978e7i 0.214030 + 0.509065i
\(334\) −9.24638e6 −0.248160
\(335\) −5.98661e7 + 3.45637e7i −1.59238 + 0.919361i
\(336\) 2.35002e6 + 4.73369e6i 0.0619517 + 0.124791i
\(337\) −2.44378e7 + 4.23275e7i −0.638516 + 1.10594i 0.347242 + 0.937776i \(0.387118\pi\)
−0.985758 + 0.168167i \(0.946215\pi\)
\(338\) 2.36057e7 + 1.36288e7i 0.611318 + 0.352945i
\(339\) 1.89205e7 9.39298e6i 0.485661 0.241104i
\(340\) −2.63337e7 4.56113e7i −0.670001 1.16048i
\(341\) 9.59768e6i 0.242049i
\(342\) −8.97146e6 6.80878e6i −0.224277 0.170212i
\(343\) 3.79930e7 0.941501
\(344\) 6.03744e6 3.48572e6i 0.148312 0.0856282i
\(345\) 1.25198e8 + 7.87271e6i 3.04889 + 0.191720i
\(346\) −2.68208e7 + 4.64549e7i −0.647505 + 1.12151i
\(347\) 4.77428e7 + 2.75643e7i 1.14267 + 0.659719i 0.947089 0.320970i \(-0.104009\pi\)
0.195577 + 0.980688i \(0.437342\pi\)
\(348\) 2.25235e7 + 1.49635e7i 0.534438 + 0.355055i
\(349\) −9.97084e6 1.72700e7i −0.234561 0.406271i 0.724584 0.689186i \(-0.242032\pi\)
−0.959145 + 0.282915i \(0.908699\pi\)
\(350\) 4.20808e7i 0.981477i
\(351\) 1.17231e6 1.35840e6i 0.0271094 0.0314128i
\(352\) 4.50204e6 0.103224
\(353\) −6.52970e7 + 3.76992e7i −1.48446 + 0.857054i −0.999844 0.0176724i \(-0.994374\pi\)
−0.484617 + 0.874726i \(0.661041\pi\)
\(354\) 1.37627e6 2.07159e6i 0.0310236 0.0466976i
\(355\) 1.83623e7 3.18045e7i 0.410433 0.710891i
\(356\) −31285.2 18062.5i −0.000693408 0.000400340i
\(357\) −2.28263e6 + 3.63003e7i −0.0501685 + 0.797821i
\(358\) −2.61208e7 4.52425e7i −0.569295 0.986048i
\(359\) 5.29978e7i 1.14545i −0.819749 0.572723i \(-0.805887\pi\)
0.819749 0.572723i \(-0.194113\pi\)
\(360\) −3.05761e7 3.86063e6i −0.655351 0.0827466i
\(361\) −3.95870e7 −0.841455
\(362\) 2.25096e7 1.29959e7i 0.474506 0.273956i
\(363\) −1.40171e7 2.82350e7i −0.293049 0.590294i
\(364\) 278805. 482905.i 0.00578092 0.0100129i
\(365\) 1.62403e7 + 9.37633e6i 0.333976 + 0.192821i
\(366\) −8.05606e6 + 3.99939e6i −0.164316 + 0.0815738i
\(367\) −2.03953e7 3.53257e7i −0.412602 0.714648i 0.582571 0.812780i \(-0.302047\pi\)
−0.995173 + 0.0981316i \(0.968713\pi\)
\(368\) 2.03717e7i 0.408775i
\(369\) −3.94673e6 + 3.12580e7i −0.0785521 + 0.622131i
\(370\) −3.69541e7 −0.729554
\(371\) −9.06196e6 + 5.23192e6i −0.177460 + 0.102457i
\(372\) 1.06485e7 + 669598.i 0.206852 + 0.0130072i
\(373\) 2.14508e7 3.71539e7i 0.413349 0.715941i −0.581905 0.813257i \(-0.697692\pi\)
0.995254 + 0.0973156i \(0.0310256\pi\)
\(374\) 2.68329e7 + 1.54920e7i 0.512924 + 0.296137i
\(375\) −1.22332e8 8.12713e7i −2.31977 1.54114i
\(376\) 1.50257e7 + 2.60253e7i 0.282665 + 0.489590i
\(377\) 2.85308e6i 0.0532464i
\(378\) 1.61128e7 + 1.39054e7i 0.298329 + 0.257460i
\(379\) −3.56353e6 −0.0654579 −0.0327290 0.999464i \(-0.510420\pi\)
−0.0327290 + 0.999464i \(0.510420\pi\)
\(380\) 1.76759e7 1.02052e7i 0.322129 0.185982i
\(381\) −1.78416e7 + 2.68556e7i −0.322595 + 0.485579i
\(382\) 2.21888e7 3.84322e7i 0.398056 0.689453i
\(383\) −5.10154e7 2.94538e7i −0.908040 0.524257i −0.0282400 0.999601i \(-0.508990\pi\)
−0.879800 + 0.475344i \(0.842324\pi\)
\(384\) 314092. 4.99496e6i 0.00554707 0.0882141i
\(385\) −1.73477e7 3.00472e7i −0.303991 0.526528i
\(386\) 3.07611e7i 0.534860i
\(387\) 1.69729e7 2.23640e7i 0.292834 0.385847i
\(388\) 4.32097e7 0.739753
\(389\) 3.81501e7 2.20260e7i 0.648108 0.374185i −0.139623 0.990205i \(-0.544589\pi\)
0.787731 + 0.616020i \(0.211256\pi\)
\(390\) 1.44591e6 + 2.91253e6i 0.0243752 + 0.0490994i
\(391\) −7.01014e7 + 1.21419e8i −1.17273 + 2.03122i
\(392\) −1.27155e7 7.34129e6i −0.211093 0.121875i
\(393\) 6.07490e7 3.01585e7i 1.00083 0.496858i
\(394\) 2.85943e7 + 4.95268e7i 0.467510 + 0.809751i
\(395\) 8.80097e7i 1.42804i
\(396\) 1.67135e7 7.02697e6i 0.269141 0.113157i
\(397\) 2.93968e6 0.0469818 0.0234909 0.999724i \(-0.492522\pi\)
0.0234909 + 0.999724i \(0.492522\pi\)
\(398\) −3.38911e7 + 1.95670e7i −0.537572 + 0.310367i
\(399\) −1.40676e7 884594.i −0.221462 0.0139260i
\(400\) 1.99253e7 3.45116e7i 0.311332 0.539244i
\(401\) −1.38960e7 8.02289e6i −0.215505 0.124422i 0.388362 0.921507i \(-0.373041\pi\)
−0.603867 + 0.797085i \(0.706374\pi\)
\(402\) −3.76564e7 2.50171e7i −0.579643 0.385087i
\(403\) −562870. 974920.i −0.00859989 0.0148955i
\(404\) 5.08278e6i 0.0770828i
\(405\) −1.19537e8 + 3.33922e7i −1.79944 + 0.502666i
\(406\) 3.38422e7 0.505685
\(407\) 1.88273e7 1.08700e7i 0.279258 0.161230i
\(408\) 1.90602e7 2.86900e7i 0.280639 0.422425i
\(409\) 9.04280e6 1.56626e7i 0.132170 0.228925i −0.792343 0.610076i \(-0.791139\pi\)
0.924513 + 0.381151i \(0.124472\pi\)
\(410\) −4.94467e7 2.85481e7i −0.717440 0.414214i
\(411\) −1.37673e6 + 2.18939e7i −0.0198301 + 0.315354i
\(412\) 7.95565e6 + 1.37796e7i 0.113759 + 0.197036i
\(413\) 3.11263e6i 0.0441853i
\(414\) 3.17971e7 + 7.56284e7i 0.448112 + 1.06582i
\(415\) 1.97936e8 2.76937
\(416\) −457311. + 264029.i −0.00635231 + 0.00366751i
\(417\) −8.41748e6 1.69555e7i −0.116084 0.233831i
\(418\) −6.00366e6 + 1.03986e7i −0.0822029 + 0.142380i
\(419\) −6.46244e6 3.73109e6i −0.0878525 0.0507217i 0.455430 0.890272i \(-0.349485\pi\)
−0.543283 + 0.839550i \(0.682819\pi\)
\(420\) −3.45473e7 + 1.71508e7i −0.466301 + 0.231493i
\(421\) 1.16773e7 + 2.02257e7i 0.156494 + 0.271055i 0.933602 0.358312i \(-0.116648\pi\)
−0.777108 + 0.629367i \(0.783314\pi\)
\(422\) 4.83769e7i 0.643726i
\(423\) 9.64032e7 + 7.31641e7i 1.27371 + 0.966667i
\(424\) 9.90926e6 0.130000
\(425\) 2.37516e8 1.37130e8i 3.09405 1.78635i
\(426\) 2.39704e7 + 1.50730e6i 0.310061 + 0.0194972i
\(427\) −5.62818e6 + 9.74829e6i −0.0722910 + 0.125212i
\(428\) −5.74095e6 3.31454e6i −0.0732238 0.0422758i
\(429\) −1.59337e6 1.05856e6i −0.0201811 0.0134074i
\(430\) 2.54394e7 + 4.40623e7i 0.319964 + 0.554193i
\(431\) 7.00387e7i 0.874795i 0.899268 + 0.437397i \(0.144100\pi\)
−0.899268 + 0.437397i \(0.855900\pi\)
\(432\) −6.63030e6 1.90336e7i −0.0822398 0.236086i
\(433\) −8.83901e7 −1.08878 −0.544390 0.838832i \(-0.683239\pi\)
−0.544390 + 0.838832i \(0.683239\pi\)
\(434\) 1.15641e7 6.67655e6i 0.141463 0.0816738i
\(435\) −1.09206e8 + 1.64380e8i −1.32672 + 1.99701i
\(436\) −3.68460e7 + 6.38191e7i −0.444560 + 0.770001i
\(437\) −4.70539e7 2.71666e7i −0.563834 0.325530i
\(438\) −769674. + 1.22400e7i −0.00915976 + 0.145666i
\(439\) −5.11723e7 8.86331e7i −0.604842 1.04762i −0.992076 0.125635i \(-0.959903\pi\)
0.387235 0.921981i \(-0.373430\pi\)
\(440\) 3.28566e7i 0.385713i
\(441\) −5.86638e7 7.40707e6i −0.683998 0.0863636i
\(442\) −3.63421e6 −0.0420865
\(443\) −1.10522e8 + 6.38100e7i −1.27127 + 0.733969i −0.975227 0.221205i \(-0.929001\pi\)
−0.296045 + 0.955174i \(0.595668\pi\)
\(444\) −1.07466e7 2.16471e7i −0.122778 0.247315i
\(445\) 131823. 228325.i 0.00149593 0.00259103i
\(446\) 2.57620e7 + 1.48737e7i 0.290386 + 0.167654i
\(447\) −7.40388e6 + 3.67562e6i −0.0828966 + 0.0411536i
\(448\) −3.13181e6 5.42445e6i −0.0348306 0.0603284i
\(449\) 1.44858e8i 1.60031i −0.599795 0.800154i \(-0.704751\pi\)
0.599795 0.800154i \(-0.295249\pi\)
\(450\) 2.01038e7 1.59222e8i 0.220618 1.74729i
\(451\) 3.35894e7 0.366161
\(452\) −2.16814e7 + 1.25178e7i −0.234786 + 0.135554i
\(453\) 4.97860e7 + 3.13064e6i 0.535566 + 0.0336774i
\(454\) −2.28721e7 + 3.96156e7i −0.244421 + 0.423349i
\(455\) 3.52432e6 + 2.03477e6i 0.0374146 + 0.0216014i
\(456\) 1.11183e7 + 7.38647e6i 0.117259 + 0.0779009i
\(457\) 5.09129e7 + 8.81838e7i 0.533433 + 0.923933i 0.999237 + 0.0390451i \(0.0124316\pi\)
−0.465805 + 0.884888i \(0.654235\pi\)
\(458\) 6.90201e7i 0.718421i
\(459\) 2.59790e7 1.36259e8i 0.268649 1.40906i
\(460\) −1.48676e8 −1.52745
\(461\) 5.98283e7 3.45419e7i 0.610666 0.352568i −0.162560 0.986699i \(-0.551975\pi\)
0.773226 + 0.634130i \(0.218642\pi\)
\(462\) 1.25562e7 1.89000e7i 0.127331 0.191662i
\(463\) 6.74662e7 1.16855e8i 0.679741 1.17735i −0.295318 0.955399i \(-0.595426\pi\)
0.975059 0.221947i \(-0.0712411\pi\)
\(464\) −2.77548e7 1.60243e7i −0.277833 0.160407i
\(465\) −4.88684e6 + 7.77146e7i −0.0486037 + 0.772936i
\(466\) 1.57677e7 + 2.73105e7i 0.155816 + 0.269881i
\(467\) 1.23430e8i 1.21191i −0.795500 0.605954i \(-0.792792\pi\)
0.795500 0.605954i \(-0.207208\pi\)
\(468\) −1.28562e6 + 1.69398e6i −0.0125423 + 0.0165261i
\(469\) −5.65798e7 −0.548458
\(470\) −1.89937e8 + 1.09660e8i −1.82943 + 1.05622i
\(471\) −3.78265e7 7.61948e7i −0.362021 0.729227i
\(472\) −1.47383e6 + 2.55275e6i −0.0140159 + 0.0242763i
\(473\) −2.59216e7 1.49659e7i −0.244951 0.141422i
\(474\) −5.15545e7 + 2.55940e7i −0.484096 + 0.240327i
\(475\) 5.31424e7 + 9.20453e7i 0.495861 + 0.858857i
\(476\) 4.31076e7i 0.399699i
\(477\) 3.67873e7 1.54668e7i 0.338956 0.142510i
\(478\) 9.31642e7 0.853032
\(479\) −6.01036e7 + 3.47008e7i −0.546882 + 0.315743i −0.747864 0.663852i \(-0.768920\pi\)
0.200981 + 0.979595i \(0.435587\pi\)
\(480\) 3.64540e7 + 2.29230e6i 0.329626 + 0.0207275i
\(481\) −1.27497e6 + 2.20831e6i −0.0114568 + 0.0198438i
\(482\) −2.25618e7 1.30261e7i −0.201480 0.116325i
\(483\) 8.55225e7 + 5.68170e7i 0.758995 + 0.504239i
\(484\) 1.86803e7 + 3.23552e7i 0.164758 + 0.285370i
\(485\) 3.15352e8i 2.76420i
\(486\) −5.43230e7 6.03120e7i −0.473233 0.525405i
\(487\) −2.01197e8 −1.74195 −0.870973 0.491331i \(-0.836511\pi\)
−0.870973 + 0.491331i \(0.836511\pi\)
\(488\) 9.23163e6 5.32988e6i 0.0794363 0.0458626i
\(489\) 1.93905e7 2.91872e7i 0.165830 0.249612i
\(490\) 5.35779e7 9.27997e7i 0.455405 0.788785i
\(491\) 1.72658e8 + 9.96841e7i 1.45862 + 0.842135i 0.998944 0.0459519i \(-0.0146321\pi\)
0.459676 + 0.888087i \(0.347965\pi\)
\(492\) 2.34342e6 3.72670e7i 0.0196768 0.312917i
\(493\) −1.10282e8 1.91015e8i −0.920377 1.59414i
\(494\) 1.40837e6i 0.0116825i
\(495\) 5.12840e7 + 1.21978e8i 0.422831 + 1.00569i
\(496\) −1.26454e7 −0.103630
\(497\) 2.60315e7 1.50293e7i 0.212046 0.122425i
\(498\) 5.75615e7 + 1.15947e8i 0.466062 + 0.938799i
\(499\) 4.38674e7 7.59805e7i 0.353053 0.611506i −0.633730 0.773555i \(-0.718477\pi\)
0.986783 + 0.162049i \(0.0518102\pi\)
\(500\) 1.50745e8 + 8.70326e7i 1.20596 + 0.696261i
\(501\) 3.95295e7 1.96242e7i 0.314346 0.156056i
\(502\) −4.47227e7 7.74620e7i −0.353523 0.612319i
\(503\) 1.53094e8i 1.20297i 0.798885 + 0.601484i \(0.205424\pi\)
−0.798885 + 0.601484i \(0.794576\pi\)
\(504\) −2.00933e7 1.52496e7i −0.156949 0.119115i
\(505\) −3.70950e7 −0.288032
\(506\) 7.57474e7 4.37328e7i 0.584677 0.337564i
\(507\) −1.29843e8 8.16477e6i −0.996310 0.0626499i
\(508\) 1.91063e7 3.30932e7i 0.145743 0.252434i
\(509\) 1.05471e8 + 6.08939e7i 0.799799 + 0.461764i 0.843401 0.537285i \(-0.180550\pi\)
−0.0436020 + 0.999049i \(0.513883\pi\)
\(510\) 2.09384e8 + 1.39105e8i 1.57846 + 1.04865i
\(511\) 7.67440e6 + 1.32924e7i 0.0575151 + 0.0996190i
\(512\) 5.93164e6i 0.0441942i
\(513\) 5.28050e7 + 1.00677e7i 0.391131 + 0.0745726i
\(514\) 1.06215e8 0.782160
\(515\) −1.00566e8 + 5.80617e7i −0.736255 + 0.425077i
\(516\) −1.84129e7 + 2.77156e7i −0.134021 + 0.201732i
\(517\) 6.45126e7 1.11739e8i 0.466845 0.808600i
\(518\) −2.61942e7 1.51232e7i −0.188458 0.108806i
\(519\) 1.60679e7 2.55525e8i 0.114936 1.82781i
\(520\) −1.92693e6 3.33753e6i −0.0137042 0.0237364i
\(521\) 1.44805e8i 1.02393i −0.859006 0.511965i \(-0.828918\pi\)
0.859006 0.511965i \(-0.171082\pi\)
\(522\) −1.28049e8 1.61678e7i −0.900253 0.113669i
\(523\) −2.14387e8 −1.49863 −0.749313 0.662216i \(-0.769616\pi\)
−0.749313 + 0.662216i \(0.769616\pi\)
\(524\) −6.96137e7 + 4.01915e7i −0.483839 + 0.279345i
\(525\) −8.93111e7 1.79901e8i −0.617202 1.24324i
\(526\) −2.41217e7 + 4.17800e7i −0.165749 + 0.287085i
\(527\) −7.53687e7 4.35141e7i −0.514943 0.297302i
\(528\) −1.92468e7 + 9.55499e6i −0.130755 + 0.0649125i
\(529\) 1.23873e8 + 2.14554e8i 0.836777 + 1.44934i
\(530\) 7.23194e7i 0.485766i
\(531\) −1.48704e6 + 1.17773e7i −0.00993203 + 0.0786614i
\(532\) 1.67056e7 0.110950
\(533\) −3.41197e6 + 1.96990e6i −0.0225332 + 0.0130096i
\(534\) 172084. + 10821.0i 0.00113010 + 7.10627e-5i
\(535\) 2.41900e7 4.18984e7i 0.157970 0.273612i
\(536\) 4.64026e7 + 2.67906e7i 0.301334 + 0.173975i
\(537\) 2.07691e8 + 1.37980e8i 1.34121 + 0.891032i
\(538\) −4.60745e7 7.98033e7i −0.295879 0.512477i
\(539\) 6.30393e7i 0.402573i
\(540\) 1.38911e8 4.83890e7i 0.882174 0.307302i
\(541\) 3.66711e7 0.231596 0.115798 0.993273i \(-0.463057\pi\)
0.115798 + 0.993273i \(0.463057\pi\)
\(542\) 1.19496e8 6.89908e7i 0.750505 0.433304i
\(543\) −6.86493e7 + 1.03333e8i −0.428782 + 0.645415i
\(544\) −2.04114e7 + 3.53536e7i −0.126788 + 0.219603i
\(545\) −4.65762e8 2.68908e8i −2.87723 1.66117i
\(546\) −167028. + 2.65621e6i −0.00102615 + 0.0163187i
\(547\) 1.50211e8 + 2.60172e8i 0.917780 + 1.58964i 0.802779 + 0.596277i \(0.203354\pi\)
0.115001 + 0.993365i \(0.463313\pi\)
\(548\) 2.59996e7i 0.157989i
\(549\) 2.59526e7 3.41959e7i 0.156842 0.206660i
\(550\) −1.71097e8 −1.02838
\(551\) 7.40245e7 4.27381e7i 0.442507 0.255482i
\(552\) −4.32364e7 8.70919e7i −0.257058 0.517798i
\(553\) −3.60174e7 + 6.23839e7i −0.212979 + 0.368890i
\(554\) 1.62269e8 + 9.36863e7i 0.954349 + 0.550994i
\(555\) 1.57984e8 7.84303e7i 0.924131 0.458780i
\(556\) 1.12178e7 + 1.94297e7i 0.0652652 + 0.113043i
\(557\) 2.64642e8i 1.53141i 0.643190 + 0.765707i \(0.277611\pi\)
−0.643190 + 0.765707i \(0.722389\pi\)
\(558\) −4.69450e7 + 1.97375e7i −0.270201 + 0.113603i
\(559\) 3.51078e6 0.0200987
\(560\) 3.95885e7 2.28564e7i 0.225427 0.130150i
\(561\) −1.47594e8 9.28100e6i −0.835951 0.0525662i
\(562\) −1.02307e7 + 1.77200e7i −0.0576361 + 0.0998287i
\(563\) −5.98361e7 3.45464e7i −0.335304 0.193588i 0.322890 0.946437i \(-0.395346\pi\)
−0.658193 + 0.752849i \(0.728679\pi\)
\(564\) −1.19472e8 7.93716e7i −0.665933 0.442413i
\(565\) −9.13569e7 1.58235e8i −0.506519 0.877317i
\(566\) 1.83201e8i 1.01036i
\(567\) −9.83969e7 2.52503e7i −0.539799 0.138522i
\(568\) −2.84655e7 −0.155336
\(569\) −1.21080e8 + 6.99054e7i −0.657256 + 0.379467i −0.791231 0.611518i \(-0.790559\pi\)
0.133975 + 0.990985i \(0.457226\pi\)
\(570\) −5.39077e7 + 8.11433e7i −0.291089 + 0.438155i
\(571\) −1.02493e8 + 1.77523e8i −0.550537 + 0.953557i 0.447699 + 0.894184i \(0.352244\pi\)
−0.998236 + 0.0593731i \(0.981090\pi\)
\(572\) 1.96346e6 + 1.13360e6i 0.0104914 + 0.00605721i
\(573\) −1.32930e7 + 2.11396e8i −0.0706574 + 1.12365i
\(574\) −2.33662e7 4.04714e7i −0.123553 0.214000i
\(575\) 7.74216e8i 4.07248i
\(576\) 9.25836e6 + 2.20207e7i 0.0484470 + 0.115230i
\(577\) 1.77665e8 0.924854 0.462427 0.886657i \(-0.346979\pi\)
0.462427 + 0.886657i \(0.346979\pi\)
\(578\) −1.25062e8 + 7.22046e7i −0.647652 + 0.373922i
\(579\) 6.52864e7 + 1.31508e8i 0.336347 + 0.677510i
\(580\) 1.16948e8 2.02559e8i 0.599387 1.03817i
\(581\) 1.40303e8 + 8.10039e7i 0.715382 + 0.413026i
\(582\) −1.84728e8 + 9.17071e7i −0.937050 + 0.465194i
\(583\) −2.12726e7 3.68452e7i −0.107353 0.185941i
\(584\) 1.45353e7i 0.0729769i
\(585\) −1.23629e7 9.38270e6i −0.0617524 0.0468662i
\(586\) −9.47107e7 −0.470659
\(587\) 2.92418e8 1.68828e8i 1.44574 0.834698i 0.447515 0.894276i \(-0.352309\pi\)
0.998224 + 0.0595787i \(0.0189757\pi\)
\(588\) 6.99414e7 + 4.39804e6i 0.344035 + 0.0216335i
\(589\) 1.68632e7 2.92078e7i 0.0825264 0.142940i
\(590\) −1.86304e7 1.07563e7i −0.0907122 0.0523727i
\(591\) −2.27359e8 1.51046e8i −1.10141 0.731723i
\(592\) 1.43217e7 + 2.48059e7i 0.0690285 + 0.119561i
\(593\) 1.84023e8i 0.882488i 0.897387 + 0.441244i \(0.145463\pi\)
−0.897387 + 0.441244i \(0.854537\pi\)
\(594\) −5.65385e7 + 6.55134e7i −0.269764 + 0.312587i
\(595\) 3.14606e8 1.49354
\(596\) 8.48428e6 4.89840e6i 0.0400752 0.0231375i
\(597\) 1.03361e8 1.55581e8i 0.485771 0.731197i
\(598\) −5.12955e6 + 8.88464e6i −0.0239870 + 0.0415467i
\(599\) 1.41355e8 + 8.16115e7i 0.657705 + 0.379726i 0.791402 0.611296i \(-0.209351\pi\)
−0.133697 + 0.991022i \(0.542685\pi\)
\(600\) −1.19369e7 + 1.89831e8i −0.0552634 + 0.878845i
\(601\) 8.57858e7 + 1.48585e8i 0.395177 + 0.684467i 0.993124 0.117069i \(-0.0373498\pi\)
−0.597947 + 0.801536i \(0.704017\pi\)
\(602\) 4.16435e7i 0.190879i
\(603\) 2.14082e8 + 2.70306e7i 0.976400 + 0.123283i
\(604\) −5.91222e7 −0.268312
\(605\) −2.36134e8 + 1.36332e8i −1.06633 + 0.615646i
\(606\) −1.07876e7 2.17296e7i −0.0484736 0.0976414i
\(607\) −9.26524e6 + 1.60479e7i −0.0414277 + 0.0717549i −0.885996 0.463693i \(-0.846524\pi\)
0.844568 + 0.535448i \(0.179857\pi\)
\(608\) −1.37007e7 7.91010e6i −0.0609581 0.0351942i
\(609\) −1.44680e8 + 7.18256e7i −0.640555 + 0.318000i
\(610\) 3.88984e7 + 6.73740e7i 0.171373 + 0.296826i
\(611\) 1.51338e7i 0.0663473i
\(612\) −2.05943e7 + 1.63107e8i −0.0898449 + 0.711569i
\(613\) 3.64689e8 1.58322 0.791609 0.611028i \(-0.209244\pi\)
0.791609 + 0.611028i \(0.209244\pi\)
\(614\) 5.35514e7 3.09179e7i 0.231348 0.133569i
\(615\) 2.71981e8 + 1.71027e7i 1.16927 + 0.0735256i
\(616\) −1.34463e7 + 2.32897e7i −0.0575257 + 0.0996375i
\(617\) −6.50805e7 3.75743e7i −0.277074 0.159969i 0.355024 0.934857i \(-0.384473\pi\)
−0.632098 + 0.774888i \(0.717806\pi\)
\(618\) −6.32569e7 4.20248e7i −0.268005 0.178049i
\(619\) 1.42862e6 + 2.47445e6i 0.00602345 + 0.0104329i 0.869021 0.494774i \(-0.164749\pi\)
−0.862998 + 0.505207i \(0.831416\pi\)
\(620\) 9.22881e7i 0.387231i
\(621\) −2.96448e8 2.55837e8i −1.23787 1.06829i
\(622\) 2.87786e8 1.19591
\(623\) 186881. 107896.i 0.000772859 0.000446210i
\(624\) 1.39470e6 2.09934e6i 0.00574020 0.00864032i
\(625\) −3.31143e8 + 5.73557e8i −1.35636 + 2.34929i
\(626\) −1.17511e8 6.78450e7i −0.479022 0.276564i
\(627\) 3.59669e6 5.71976e7i 0.0145915 0.232047i
\(628\) 5.04104e7 + 8.73134e7i 0.203536 + 0.352535i
\(629\) 1.97130e8i 0.792137i
\(630\) 1.11294e8 1.46644e8i 0.445092 0.586467i
\(631\) −9.87283e7 −0.392965 −0.196482 0.980507i \(-0.562952\pi\)
−0.196482 + 0.980507i \(0.562952\pi\)
\(632\) 5.90775e7 3.41084e7i 0.234030 0.135117i
\(633\) 1.02674e8 + 2.06818e8i 0.404807 + 0.815412i
\(634\) 6.32200e7 1.09500e8i 0.248077 0.429682i
\(635\) 2.41519e8 + 1.39441e8i 0.943259 + 0.544591i
\(636\) −4.23634e7 + 2.10311e7i −0.164672 + 0.0817506i
\(637\) −3.69704e6 6.40345e6i −0.0143033 0.0247740i
\(638\) 1.37600e8i 0.529853i
\(639\) −1.05676e8 + 4.44301e7i −0.405017 + 0.170285i
\(640\) −4.32901e7 −0.165139
\(641\) 4.02095e8 2.32150e8i 1.52670 0.881442i 0.527206 0.849738i \(-0.323240\pi\)
0.999497 0.0317046i \(-0.0100936\pi\)
\(642\) 3.15780e7 + 1.98568e6i 0.119338 + 0.00750421i
\(643\) 1.98827e8 3.44378e8i 0.747897 1.29540i −0.200932 0.979605i \(-0.564397\pi\)
0.948829 0.315790i \(-0.102270\pi\)
\(644\) −1.05386e8 6.08447e7i −0.394572 0.227806i
\(645\) −2.02273e8 1.34380e8i −0.753805 0.500791i
\(646\) −5.44390e7 9.42911e7i −0.201936 0.349763i
\(647\) 1.29737e8i 0.479017i 0.970894 + 0.239509i \(0.0769863\pi\)
−0.970894 + 0.239509i \(0.923014\pi\)
\(648\) 6.87418e7 + 6.72994e7i 0.252637 + 0.247335i
\(649\) 1.26557e7 0.0462970
\(650\) 1.73799e7 1.00343e7i 0.0632858 0.0365381i
\(651\) −3.52681e7 + 5.30865e7i −0.127832 + 0.192416i
\(652\) −2.07652e7 + 3.59663e7i −0.0749191 + 0.129764i
\(653\) −3.10514e8 1.79275e8i −1.11517 0.643844i −0.175007 0.984567i \(-0.555995\pi\)
−0.940164 + 0.340723i \(0.889328\pi\)
\(654\) 2.20738e7 3.51036e8i 0.0789122 1.25493i
\(655\) −2.93324e8 5.08052e8i −1.04382 1.80794i
\(656\) 4.42556e7i 0.156768i
\(657\) −2.26873e7 5.39612e7i −0.0799995 0.190277i
\(658\) −1.79511e8 −0.630105
\(659\) −3.63796e8 + 2.10038e8i −1.27117 + 0.733908i −0.975207 0.221293i \(-0.928972\pi\)
−0.295958 + 0.955201i \(0.595639\pi\)
\(660\) −6.97339e7 1.40467e8i −0.242556 0.488586i
\(661\) 2.06107e8 3.56988e8i 0.713655 1.23609i −0.249821 0.968292i \(-0.580372\pi\)
0.963476 0.267794i \(-0.0862948\pi\)
\(662\) 2.15658e8 + 1.24510e8i 0.743347 + 0.429172i
\(663\) 1.55367e7 7.71313e6i 0.0533113 0.0264661i
\(664\) −7.67107e7 1.32867e8i −0.262030 0.453850i
\(665\) 1.21920e8i 0.414582i
\(666\) 9.18861e7 + 6.97359e7i 0.311048 + 0.236066i
\(667\) −6.22638e8 −2.09826
\(668\) −4.52978e7 + 2.61527e7i −0.151967 + 0.0877379i
\(669\) −1.41704e8 8.91060e6i −0.473264 0.0297597i
\(670\) −1.95522e8 + 3.38654e8i −0.650086 + 1.12598i
\(671\) −3.96358e7 2.28837e7i −0.131196 0.0757459i
\(672\) 2.49016e7 + 1.65434e7i 0.0820577 + 0.0545151i
\(673\) −2.35837e8 4.08482e8i −0.773690 1.34007i −0.935528 0.353252i \(-0.885076\pi\)
0.161838 0.986817i \(-0.448258\pi\)
\(674\) 2.76482e8i 0.902999i
\(675\) 2.51981e8 + 7.23362e8i 0.819325 + 2.35204i
\(676\) 1.54192e8 0.499139
\(677\) 6.57025e7 3.79334e7i 0.211746 0.122252i −0.390376 0.920655i \(-0.627655\pi\)
0.602123 + 0.798404i \(0.294322\pi\)
\(678\) 6.61237e7 9.95313e7i 0.212162 0.319353i
\(679\) −1.29056e8 + 2.23531e8i −0.412256 + 0.714049i
\(680\) −2.58017e8 1.48966e8i −0.820580 0.473762i
\(681\) 1.37023e7 2.17905e8i 0.0433862 0.689963i
\(682\) 2.71463e7 + 4.70188e7i 0.0855772 + 0.148224i
\(683\) 2.50625e8i 0.786616i −0.919407 0.393308i \(-0.871331\pi\)
0.919407 0.393308i \(-0.128669\pi\)
\(684\) −6.32091e7 7.98097e6i −0.197520 0.0249395i
\(685\) 1.89750e8 0.590350
\(686\) 1.86127e8 1.07460e8i 0.576549 0.332871i
\(687\) 1.46486e8 + 2.95070e8i 0.451780 + 0.910029i
\(688\) 1.97182e7 3.41529e7i 0.0605483 0.104873i
\(689\) 4.32169e6 + 2.49513e6i 0.0132128 + 0.00762843i
\(690\) 6.35612e8 3.15546e8i 1.93484 0.960540i
\(691\) −9.23965e7 1.60035e8i −0.280041 0.485045i 0.691354 0.722516i \(-0.257015\pi\)
−0.971394 + 0.237472i \(0.923681\pi\)
\(692\) 3.03442e8i 0.915710i
\(693\) −1.35668e7 + 1.07449e8i −0.0407642 + 0.322851i
\(694\) 3.11855e8 0.932983
\(695\) −1.41801e8 + 8.18691e7i −0.422402 + 0.243874i
\(696\) 1.52665e8 + 9.59987e6i 0.452806 + 0.0284733i
\(697\) −1.52288e8 + 2.63771e8i −0.449747 + 0.778984i
\(698\) −9.76939e7 5.64036e7i −0.287277 0.165860i
\(699\) −1.25372e8 8.32911e7i −0.367087 0.243875i
\(700\) 1.19023e8 + 2.06153e8i 0.347005 + 0.601030i
\(701\) 1.48993e8i 0.432525i 0.976335 + 0.216262i \(0.0693866\pi\)
−0.976335 + 0.216262i \(0.930613\pi\)
\(702\) 1.90097e6 9.97055e6i 0.00549496 0.0288209i
\(703\) −7.63942e7 −0.219885
\(704\) 2.20554e7 1.27337e7i 0.0632116 0.0364952i
\(705\) 5.79267e8 8.71929e8i 1.65315 2.48836i
\(706\) −2.13259e8 + 3.69375e8i −0.606029 + 1.04967i
\(707\) −2.62940e7 1.51809e7i −0.0744045 0.0429575i
\(708\) 882947. 1.40414e7i 0.00248791 0.0395648i
\(709\) 1.76797e8 + 3.06222e8i 0.496063 + 0.859206i 0.999990 0.00454038i \(-0.00144525\pi\)
−0.503927 + 0.863746i \(0.668112\pi\)
\(710\) 2.07746e8i 0.580440i
\(711\) 1.66083e8 2.18836e8i 0.462078 0.608848i
\(712\) −204354. −0.000566166
\(713\) −2.12760e8 + 1.22837e8i −0.586978 + 0.338892i
\(714\) 9.14902e7 + 1.84291e8i 0.251351 + 0.506301i
\(715\) −8.27321e6 + 1.43296e7i −0.0226337 + 0.0392028i
\(716\) −2.55930e8 1.47762e8i −0.697241 0.402552i
\(717\) −3.98290e8 + 1.97729e8i −1.08054 + 0.536430i
\(718\) −1.49900e8 2.59635e8i −0.404976 0.701440i
\(719\) 1.15532e8i 0.310824i 0.987850 + 0.155412i \(0.0496705\pi\)
−0.987850 + 0.155412i \(0.950330\pi\)
\(720\) −1.60711e8 + 6.75691e7i −0.430574 + 0.181030i
\(721\) −9.50453e7 −0.253586
\(722\) −1.93936e8 + 1.11969e8i −0.515284 + 0.297499i
\(723\) 1.24101e8 + 7.80369e6i 0.328367 + 0.0206484i
\(724\) 7.35159e7 1.27333e8i 0.193716 0.335526i
\(725\) 1.05481e9 + 6.08993e8i 2.76795 + 1.59808i
\(726\) −1.48530e8 9.86764e7i −0.388155 0.257872i
\(727\) 4.29149e7 + 7.43308e7i 0.111688 + 0.193449i 0.916451 0.400147i \(-0.131041\pi\)
−0.804763 + 0.593596i \(0.797708\pi\)
\(728\) 3.15432e6i 0.00817546i
\(729\) 3.60242e8 + 1.42548e8i 0.929849 + 0.367942i
\(730\) 1.06081e8 0.272690
\(731\) 2.35048e8 1.35705e8i 0.601734 0.347411i
\(732\) −2.81545e7 + 4.23789e7i −0.0717818 + 0.108048i
\(733\) 1.65809e8 2.87190e8i 0.421014 0.729218i −0.575025 0.818136i \(-0.695008\pi\)
0.996039 + 0.0889179i \(0.0283409\pi\)
\(734\) −1.99832e8 1.15373e8i −0.505332 0.291754i
\(735\) −3.20977e7 + 5.10444e8i −0.0808372 + 1.28554i
\(736\) 5.76200e7 + 9.98007e7i 0.144524 + 0.250323i
\(737\) 2.30049e8i 0.574670i
\(738\) 6.90760e7 + 1.64295e8i 0.171853 + 0.408748i
\(739\) −4.32705e7 −0.107216 −0.0536079 0.998562i \(-0.517072\pi\)
−0.0536079 + 0.998562i \(0.517072\pi\)
\(740\) −1.81037e8 + 1.04522e8i −0.446759 + 0.257936i
\(741\) 2.98909e6 + 6.02099e6i 0.00734657 + 0.0147984i
\(742\) −2.95962e7 + 5.12622e7i −0.0724477 + 0.125483i
\(743\) 4.91261e8 + 2.83630e8i 1.19770 + 0.691490i 0.960041 0.279860i \(-0.0902881\pi\)
0.237654 + 0.971350i \(0.423621\pi\)
\(744\) 5.40607e7 2.68382e7i 0.131269 0.0651680i
\(745\) 3.57493e7 + 6.19197e7i 0.0864568 + 0.149748i
\(746\) 2.42688e8i 0.584564i
\(747\) −4.92166e8 3.73524e8i −1.18073 0.896100i
\(748\) 1.75272e8 0.418801
\(749\) 3.42932e7 1.97992e7i 0.0816137 0.0471197i
\(750\) −8.29171e8 5.21398e7i −1.96544 0.123591i
\(751\) 3.02087e7 5.23230e7i 0.0713202 0.123530i −0.828160 0.560492i \(-0.810612\pi\)
0.899480 + 0.436962i \(0.143945\pi\)
\(752\) 1.47221e8 + 8.49983e7i 0.346192 + 0.199874i
\(753\) 3.55599e8 + 2.36243e8i 0.832867 + 0.553316i
\(754\) −8.06973e6 1.39772e7i −0.0188254 0.0326066i
\(755\) 4.31484e8i 1.00259i
\(756\) 1.18267e8 + 2.25486e7i 0.273714 + 0.0521860i
\(757\) 2.57979e8 0.594697 0.297349 0.954769i \(-0.403898\pi\)
0.297349 + 0.954769i \(0.403898\pi\)
\(758\) −1.74576e7 + 1.00792e7i −0.0400846 + 0.0231429i
\(759\) −2.31013e8 + 3.47728e8i −0.528338 + 0.795269i
\(760\) 5.77292e7 9.99899e7i 0.131509 0.227780i
\(761\) −2.59671e8 1.49921e8