Properties

Label 37.8.f.a.7.11
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 37 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 37.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.5582459429\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.11
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.910359 + 0.331344i) q^{2} +(19.9506 + 7.26143i) q^{3} +(-97.3347 + 81.6735i) q^{4} +(96.6240 + 547.982i) q^{5} -20.5683 q^{6} +(-202.895 - 1150.68i) q^{7} +(123.550 - 213.994i) q^{8} +(-1330.04 - 1116.04i) q^{9} +O(q^{10})\) \(q+(-0.910359 + 0.331344i) q^{2} +(19.9506 + 7.26143i) q^{3} +(-97.3347 + 81.6735i) q^{4} +(96.6240 + 547.982i) q^{5} -20.5683 q^{6} +(-202.895 - 1150.68i) q^{7} +(123.550 - 213.994i) q^{8} +(-1330.04 - 1116.04i) q^{9} +(-269.533 - 466.845i) q^{10} +(1003.96 - 1738.91i) q^{11} +(-2534.95 + 922.648i) q^{12} +(-9437.04 + 7918.62i) q^{13} +(565.977 + 980.301i) q^{14} +(-2051.42 + 11634.2i) q^{15} +(2782.62 - 15781.0i) q^{16} +(7564.88 + 6347.69i) q^{17} +(1580.61 + 575.294i) q^{18} +(-35056.7 - 12759.6i) q^{19} +(-54160.5 - 45446.1i) q^{20} +(4307.67 - 24430.0i) q^{21} +(-337.788 + 1915.69i) q^{22} +(40606.0 + 70331.6i) q^{23} +(4018.80 - 3372.17i) q^{24} +(-217535. + 79176.2i) q^{25} +(5967.31 - 10335.7i) q^{26} +(-41647.2 - 72135.1i) q^{27} +(113729. + 95429.6i) q^{28} +(56618.7 - 98066.5i) q^{29} +(-1987.39 - 11271.0i) q^{30} +30741.1 q^{31} +(8188.03 + 46436.6i) q^{32} +(32656.7 - 27402.2i) q^{33} +(-8990.03 - 3272.10i) q^{34} +(610945. - 222366. i) q^{35} +220610. q^{36} +(-270931. + 146725. i) q^{37} +36142.0 q^{38} +(-245775. + 89454.8i) q^{39} +(129203. + 47026.0i) q^{40} +(-361521. + 303352. i) q^{41} +(4173.20 + 23667.4i) q^{42} +226219. q^{43} +(44302.8 + 251254. i) q^{44} +(483054. - 836674. i) q^{45} +(-60270.0 - 50572.5i) q^{46} +(371822. + 644015. i) q^{47} +(170108. - 294635. i) q^{48} +(-509012. + 185265. i) q^{49} +(171800. - 144158. i) q^{50} +(104831. + 181572. i) q^{51} +(271810. - 1.54151e6i) q^{52} +(-157744. + 894610. i) q^{53} +(61815.4 + 51869.3i) q^{54} +(1.04990e6 + 382132. i) q^{55} +(-271306. - 98747.3i) q^{56} +(-606750. - 509123. i) q^{57} +(-19049.7 + 108036. i) q^{58} +(-316845. + 1.79692e6i) q^{59} +(-750532. - 1.29996e6i) q^{60} +(390623. - 327772. i) q^{61} +(-27985.4 + 10185.9i) q^{62} +(-1.01434e6 + 1.75688e6i) q^{63} +(1.00273e6 + 1.73677e6i) q^{64} +(-5.25111e6 - 4.40620e6i) q^{65} +(-20649.7 + 35766.4i) q^{66} +(-164881. - 935086. i) q^{67} -1.25476e6 q^{68} +(299406. + 1.69802e6i) q^{69} +(-482500. + 404866. i) q^{70} +(2.01788e6 + 734448. i) q^{71} +(-403152. + 146735. i) q^{72} -2.15274e6 q^{73} +(198028. - 223344. i) q^{74} -4.91488e6 q^{75} +(4.45436e6 - 1.62125e6i) q^{76} +(-2.20463e6 - 802418. i) q^{77} +(194103. - 162872. i) q^{78} +(-640375. - 3.63175e6i) q^{79} +8.91659e6 q^{80} +(352288. + 1.99792e6i) q^{81} +(228600. - 395947. i) q^{82} +(-875202. - 734382. i) q^{83} +(1.57600e6 + 2.72971e6i) q^{84} +(-2.74747e6 + 4.75876e6i) q^{85} +(-205941. + 74956.3i) q^{86} +(1.84168e6 - 1.54535e6i) q^{87} +(-248079. - 429685. i) q^{88} +(-752694. + 4.26874e6i) q^{89} +(-162526. + 921731. i) q^{90} +(1.10265e7 + 9.25233e6i) q^{91} +(-9.69661e6 - 3.52928e6i) q^{92} +(613304. + 223224. i) q^{93} +(-551882. - 463084. i) q^{94} +(3.60471e6 - 2.04433e7i) q^{95} +(-173840. + 985896. i) q^{96} +(5.96138e6 + 1.03254e7i) q^{97} +(401997. - 337316. i) q^{98} +(-3.27600e6 + 1.19237e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} + O(q^{10}) \) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} - 6003 q^{10} - 15975 q^{11} - 4635 q^{12} - 15981 q^{13} - 13491 q^{14} + 38493 q^{15} - 74151 q^{16} + 37698 q^{17} - 20100 q^{18} - 66102 q^{19} - 176184 q^{20} - 142530 q^{21} + 132783 q^{22} + 140631 q^{23} - 38793 q^{24} - 544092 q^{25} - 423147 q^{26} + 130557 q^{27} + 603813 q^{28} + 22890 q^{29} - 319860 q^{30} - 1288044 q^{31} - 217866 q^{32} + 112344 q^{33} + 812019 q^{34} + 1479252 q^{35} + 8118132 q^{36} - 1664550 q^{37} + 305010 q^{38} - 1580340 q^{39} - 4681425 q^{40} - 2956593 q^{41} - 3553029 q^{42} - 1023528 q^{43} + 6409524 q^{44} + 1803336 q^{45} + 10219434 q^{46} - 2607204 q^{47} - 2984043 q^{48} - 6819531 q^{49} + 5724015 q^{50} - 1675833 q^{51} + 11768451 q^{52} + 2280177 q^{53} - 7803897 q^{54} - 3542196 q^{55} + 12168843 q^{56} - 85203 q^{57} - 12425487 q^{58} - 7014600 q^{59} + 2356788 q^{60} + 10840332 q^{61} + 6334368 q^{62} - 3331359 q^{63} - 26175624 q^{64} - 573195 q^{65} - 36720249 q^{66} + 6642918 q^{67} - 25277742 q^{68} - 1236438 q^{69} - 27401982 q^{70} + 20311041 q^{71} + 40093005 q^{72} + 38643780 q^{73} - 9531 q^{74} + 16639446 q^{75} + 5787405 q^{76} - 316971 q^{77} + 9363381 q^{78} + 17712534 q^{79} - 74410128 q^{80} - 10355109 q^{81} - 16702371 q^{82} - 31021176 q^{83} - 61626192 q^{84} + 23576445 q^{85} + 18579072 q^{86} + 104996631 q^{87} + 57279702 q^{88} - 13471320 q^{89} + 56306910 q^{90} - 2335911 q^{91} - 178133436 q^{92} + 24366258 q^{93} + 77086020 q^{94} - 26254407 q^{95} + 152523921 q^{96} + 14408415 q^{97} - 521205 q^{98} + 58375668 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.910359 + 0.331344i −0.0804652 + 0.0292869i −0.381939 0.924187i \(-0.624744\pi\)
0.301474 + 0.953474i \(0.402521\pi\)
\(3\) 19.9506 + 7.26143i 0.426611 + 0.155274i 0.546397 0.837526i \(-0.315999\pi\)
−0.119787 + 0.992800i \(0.538221\pi\)
\(4\) −97.3347 + 81.6735i −0.760428 + 0.638074i
\(5\) 96.6240 + 547.982i 0.345693 + 1.96052i 0.267378 + 0.963592i \(0.413843\pi\)
0.0783149 + 0.996929i \(0.475046\pi\)
\(6\) −20.5683 −0.0388748
\(7\) −202.895 1150.68i −0.223578 1.26797i −0.865385 0.501107i \(-0.832926\pi\)
0.641807 0.766866i \(-0.278185\pi\)
\(8\) 123.550 213.994i 0.0853153 0.147770i
\(9\) −1330.04 1116.04i −0.608158 0.510305i
\(10\) −269.533 466.845i −0.0852338 0.147629i
\(11\) 1003.96 1738.91i 0.227427 0.393916i −0.729617 0.683855i \(-0.760302\pi\)
0.957045 + 0.289940i \(0.0936352\pi\)
\(12\) −2534.95 + 922.648i −0.423483 + 0.154135i
\(13\) −9437.04 + 7918.62i −1.19134 + 0.999649i −0.191500 + 0.981493i \(0.561335\pi\)
−0.999835 + 0.0181565i \(0.994220\pi\)
\(14\) 565.977 + 980.301i 0.0551252 + 0.0954797i
\(15\) −2051.42 + 11634.2i −0.156941 + 0.890056i
\(16\) 2782.62 15781.0i 0.169838 0.963198i
\(17\) 7564.88 + 6347.69i 0.373449 + 0.313361i 0.810124 0.586259i \(-0.199400\pi\)
−0.436675 + 0.899619i \(0.643844\pi\)
\(18\) 1580.61 + 575.294i 0.0638808 + 0.0232507i
\(19\) −35056.7 12759.6i −1.17256 0.426775i −0.318989 0.947759i \(-0.603343\pi\)
−0.853567 + 0.520983i \(0.825565\pi\)
\(20\) −54160.5 45446.1i −1.51383 1.27026i
\(21\) 4307.67 24430.0i 0.101502 0.575647i
\(22\) −337.788 + 1915.69i −0.00676340 + 0.0383572i
\(23\) 40606.0 + 70331.6i 0.695893 + 1.20532i 0.969879 + 0.243589i \(0.0783248\pi\)
−0.273985 + 0.961734i \(0.588342\pi\)
\(24\) 4018.80 3372.17i 0.0593413 0.0497932i
\(25\) −217535. + 79176.2i −2.78444 + 1.01345i
\(26\) 5967.31 10335.7i 0.0665843 0.115327i
\(27\) −41647.2 72135.1i −0.407205 0.705299i
\(28\) 113729. + 95429.6i 0.979076 + 0.821542i
\(29\) 56618.7 98066.5i 0.431089 0.746668i −0.565878 0.824489i \(-0.691463\pi\)
0.996967 + 0.0778207i \(0.0247962\pi\)
\(30\) −1987.39 11271.0i −0.0134387 0.0762148i
\(31\) 30741.1 0.185333 0.0926666 0.995697i \(-0.470461\pi\)
0.0926666 + 0.995697i \(0.470461\pi\)
\(32\) 8188.03 + 46436.6i 0.0441728 + 0.250516i
\(33\) 32656.7 27402.2i 0.158188 0.132735i
\(34\) −8990.03 3272.10i −0.0392270 0.0142775i
\(35\) 610945. 222366.i 2.40860 0.876658i
\(36\) 220610. 0.788072
\(37\) −270931. + 146725.i −0.879331 + 0.476211i
\(38\) 36142.0 0.106849
\(39\) −245775. + 89454.8i −0.663456 + 0.241478i
\(40\) 129203. + 47026.0i 0.319200 + 0.116179i
\(41\) −361521. + 303352.i −0.819200 + 0.687391i −0.952785 0.303647i \(-0.901796\pi\)
0.133584 + 0.991037i \(0.457351\pi\)
\(42\) 4173.20 + 23667.4i 0.00869154 + 0.0492922i
\(43\) 226219. 0.433900 0.216950 0.976183i \(-0.430389\pi\)
0.216950 + 0.976183i \(0.430389\pi\)
\(44\) 44302.8 + 251254.i 0.0784056 + 0.444660i
\(45\) 483054. 836674.i 0.790227 1.36871i
\(46\) −60270.0 50572.5i −0.0912954 0.0766059i
\(47\) 371822. + 644015.i 0.522387 + 0.904802i 0.999661 + 0.0260467i \(0.00829187\pi\)
−0.477273 + 0.878755i \(0.658375\pi\)
\(48\) 170108. 294635.i 0.222014 0.384539i
\(49\) −509012. + 185265.i −0.618076 + 0.224961i
\(50\) 171800. 144158.i 0.194370 0.163096i
\(51\) 104831. + 181572.i 0.110661 + 0.191670i
\(52\) 271810. 1.54151e6i 0.268074 1.52032i
\(53\) −157744. + 894610.i −0.145542 + 0.825408i 0.821389 + 0.570368i \(0.193200\pi\)
−0.966931 + 0.255039i \(0.917912\pi\)
\(54\) 61815.4 + 51869.3i 0.0534218 + 0.0448262i
\(55\) 1.04990e6 + 382132.i 0.850900 + 0.309702i
\(56\) −271306. 98747.3i −0.206444 0.0751393i
\(57\) −606750. 509123.i −0.433958 0.364134i
\(58\) −19049.7 + 108036.i −0.0128200 + 0.0727060i
\(59\) −316845. + 1.79692e6i −0.200847 + 1.13906i 0.702995 + 0.711195i \(0.251846\pi\)
−0.903842 + 0.427866i \(0.859266\pi\)
\(60\) −750532. 1.29996e6i −0.448580 0.776963i
\(61\) 390623. 327772.i 0.220345 0.184892i −0.525932 0.850526i \(-0.676284\pi\)
0.746278 + 0.665635i \(0.231839\pi\)
\(62\) −27985.4 + 10185.9i −0.0149129 + 0.00542784i
\(63\) −1.01434e6 + 1.75688e6i −0.511082 + 0.885220i
\(64\) 1.00273e6 + 1.73677e6i 0.478137 + 0.828158i
\(65\) −5.25111e6 4.40620e6i −2.37167 1.99007i
\(66\) −20649.7 + 35766.4i −0.00884119 + 0.0153134i
\(67\) −164881. 935086.i −0.0669744 0.379831i −0.999809 0.0195266i \(-0.993784\pi\)
0.932835 0.360304i \(-0.117327\pi\)
\(68\) −1.25476e6 −0.483928
\(69\) 299406. + 1.69802e6i 0.109721 + 0.622258i
\(70\) −482500. + 404866.i −0.168134 + 0.141081i
\(71\) 2.01788e6 + 734448.i 0.669100 + 0.243532i 0.654160 0.756356i \(-0.273022\pi\)
0.0149396 + 0.999888i \(0.495244\pi\)
\(72\) −403152. + 146735.i −0.127293 + 0.0463309i
\(73\) −2.15274e6 −0.647681 −0.323840 0.946112i \(-0.604974\pi\)
−0.323840 + 0.946112i \(0.604974\pi\)
\(74\) 198028. 223344.i 0.0568088 0.0640713i
\(75\) −4.91488e6 −1.34524
\(76\) 4.45436e6 1.62125e6i 1.16396 0.423646i
\(77\) −2.20463e6 802418.i −0.550322 0.200301i
\(78\) 194103. 162872.i 0.0463129 0.0388611i
\(79\) −640375. 3.63175e6i −0.146130 0.828745i −0.966453 0.256844i \(-0.917317\pi\)
0.820323 0.571901i \(-0.193794\pi\)
\(80\) 8.91659e6 1.94708
\(81\) 352288. + 1.99792e6i 0.0736546 + 0.417716i
\(82\) 228600. 395947.i 0.0457855 0.0793028i
\(83\) −875202. 734382.i −0.168010 0.140977i 0.554906 0.831913i \(-0.312754\pi\)
−0.722916 + 0.690936i \(0.757199\pi\)
\(84\) 1.57600e6 + 2.72971e6i 0.290120 + 0.502503i
\(85\) −2.74747e6 + 4.75876e6i −0.485251 + 0.840480i
\(86\) −205941. + 74956.3i −0.0349138 + 0.0127076i
\(87\) 1.84168e6 1.54535e6i 0.299845 0.251600i
\(88\) −248079. 429685.i −0.0388061 0.0672141i
\(89\) −752694. + 4.26874e6i −0.113176 + 0.641852i 0.874461 + 0.485095i \(0.161215\pi\)
−0.987637 + 0.156757i \(0.949896\pi\)
\(90\) −162526. + 921731.i −0.0235004 + 0.133277i
\(91\) 1.10265e7 + 9.25233e6i 1.53388 + 1.28708i
\(92\) −9.69661e6 3.52928e6i −1.29826 0.472529i
\(93\) 613304. + 223224.i 0.0790652 + 0.0287774i
\(94\) −551882. 463084.i −0.0685328 0.0575059i
\(95\) 3.60471e6 2.04433e7i 0.431358 2.44635i
\(96\) −173840. + 985896.i −0.0200540 + 0.113732i
\(97\) 5.96138e6 + 1.03254e7i 0.663202 + 1.14870i 0.979770 + 0.200129i \(0.0641361\pi\)
−0.316568 + 0.948570i \(0.602531\pi\)
\(98\) 401997. 337316.i 0.0431451 0.0362031i
\(99\) −3.27600e6 + 1.19237e6i −0.339329 + 0.123506i
\(100\) 1.47071e7 2.54734e7i 1.47071 2.54734i
\(101\) 1.38103e6 + 2.39201e6i 0.133376 + 0.231014i 0.924976 0.380026i \(-0.124085\pi\)
−0.791600 + 0.611040i \(0.790752\pi\)
\(102\) −155596. 130561.i −0.0145177 0.0121818i
\(103\) −6.72316e6 + 1.16449e7i −0.606238 + 1.05004i 0.385616 + 0.922659i \(0.373989\pi\)
−0.991855 + 0.127376i \(0.959345\pi\)
\(104\) 528596. + 2.99782e6i 0.0460794 + 0.261329i
\(105\) 1.38034e7 1.16366
\(106\) −152820. 866684.i −0.0124626 0.0706790i
\(107\) −2.62247e6 + 2.20052e6i −0.206951 + 0.173653i −0.740372 0.672197i \(-0.765351\pi\)
0.533421 + 0.845850i \(0.320906\pi\)
\(108\) 9.94524e6 + 3.61977e6i 0.759683 + 0.276502i
\(109\) 1.39393e6 507351.i 0.103098 0.0375246i −0.289956 0.957040i \(-0.593641\pi\)
0.393054 + 0.919515i \(0.371419\pi\)
\(110\) −1.08240e6 −0.0775380
\(111\) −6.47067e6 + 959918.i −0.449075 + 0.0666198i
\(112\) −1.87234e7 −1.25928
\(113\) 8.28866e6 3.01683e6i 0.540393 0.196687i −0.0573798 0.998352i \(-0.518275\pi\)
0.597773 + 0.801665i \(0.296052\pi\)
\(114\) 721055. + 262443.i 0.0455828 + 0.0165908i
\(115\) −3.46170e7 + 2.90471e7i −2.12249 + 1.78098i
\(116\) 2.49847e6 + 1.41695e7i 0.148618 + 0.842854i
\(117\) 2.13891e7 1.23465
\(118\) −306955. 1.74083e6i −0.0171984 0.0975369i
\(119\) 5.76926e6 9.99265e6i 0.313838 0.543583i
\(120\) 2.23620e6 + 1.87640e6i 0.118135 + 0.0991266i
\(121\) 7.72771e6 + 1.33848e7i 0.396553 + 0.686851i
\(122\) −247002. + 427821.i −0.0123152 + 0.0213306i
\(123\) −9.41534e6 + 3.42690e6i −0.456213 + 0.166048i
\(124\) −2.99218e6 + 2.51073e6i −0.140933 + 0.118256i
\(125\) −4.26704e7 7.39074e7i −1.95408 3.38456i
\(126\) 341279. 1.93549e6i 0.0151989 0.0861974i
\(127\) 5.07063e6 2.87570e7i 0.219659 1.24575i −0.652978 0.757377i \(-0.726481\pi\)
0.872637 0.488370i \(-0.162408\pi\)
\(128\) −6.11184e6 5.12844e6i −0.257595 0.216148i
\(129\) 4.51321e6 + 1.64267e6i 0.185107 + 0.0673733i
\(130\) 6.24036e6 + 2.27130e6i 0.249120 + 0.0906721i
\(131\) −2.05034e7 1.72044e7i −0.796851 0.668637i 0.150580 0.988598i \(-0.451886\pi\)
−0.947431 + 0.319961i \(0.896330\pi\)
\(132\) −940593. + 5.33437e6i −0.0355953 + 0.201871i
\(133\) −7.56932e6 + 4.29278e7i −0.278982 + 1.58219i
\(134\) 459936. + 796632.i 0.0165132 + 0.0286017i
\(135\) 3.55046e7 2.97919e7i 1.24199 1.04215i
\(136\) 2.29301e6 834587.i 0.0781663 0.0284502i
\(137\) −8.26503e6 + 1.43155e7i −0.274614 + 0.475645i −0.970038 0.242955i \(-0.921883\pi\)
0.695424 + 0.718600i \(0.255217\pi\)
\(138\) −835194. 1.44660e6i −0.0270527 0.0468567i
\(139\) −4.01247e7 3.36686e7i −1.26724 1.06334i −0.994871 0.101151i \(-0.967747\pi\)
−0.272372 0.962192i \(-0.587808\pi\)
\(140\) −4.13048e7 + 7.15420e7i −1.27219 + 2.20350i
\(141\) 2.74161e6 + 1.55484e7i 0.0823643 + 0.467111i
\(142\) −2.08035e6 −0.0609715
\(143\) 4.29536e6 + 2.43602e7i 0.122835 + 0.696634i
\(144\) −2.13132e7 + 1.78839e7i −0.594813 + 0.499107i
\(145\) 5.92094e7 + 2.15505e7i 1.61288 + 0.587041i
\(146\) 1.95976e6 713296.i 0.0521157 0.0189686i
\(147\) −1.15004e7 −0.298608
\(148\) 1.43874e7 3.64094e7i 0.364809 0.923203i
\(149\) −1.76982e7 −0.438305 −0.219152 0.975691i \(-0.570329\pi\)
−0.219152 + 0.975691i \(0.570329\pi\)
\(150\) 4.47431e6 1.62852e6i 0.108245 0.0393978i
\(151\) 1.40158e7 + 5.10135e6i 0.331283 + 0.120577i 0.502306 0.864690i \(-0.332485\pi\)
−0.171023 + 0.985267i \(0.554707\pi\)
\(152\) −7.06173e6 + 5.92549e6i −0.163102 + 0.136859i
\(153\) −2.97735e6 1.68854e7i −0.0672062 0.381145i
\(154\) 2.27288e6 0.0501480
\(155\) 2.97033e6 + 1.68456e7i 0.0640683 + 0.363350i
\(156\) 1.66164e7 2.87804e7i 0.350429 0.606961i
\(157\) 9.99198e6 + 8.38427e6i 0.206064 + 0.172908i 0.739979 0.672630i \(-0.234835\pi\)
−0.533915 + 0.845538i \(0.679280\pi\)
\(158\) 1.78633e6 + 3.09401e6i 0.0360298 + 0.0624054i
\(159\) −9.64324e6 + 1.67026e7i −0.190254 + 0.329529i
\(160\) −2.46553e7 + 8.97379e6i −0.475872 + 0.173203i
\(161\) 7.26902e7 6.09943e7i 1.37273 1.15186i
\(162\) −982708. 1.70210e6i −0.0181602 0.0314545i
\(163\) 1.22416e7 6.94257e7i 0.221402 1.25564i −0.648042 0.761605i \(-0.724412\pi\)
0.869444 0.494031i \(-0.164477\pi\)
\(164\) 1.04127e7 5.90534e7i 0.184336 1.04542i
\(165\) 1.81713e7 + 1.52476e7i 0.314915 + 0.264245i
\(166\) 1.04008e6 + 378559.i 0.0176477 + 0.00642325i
\(167\) 2.76436e7 + 1.00614e7i 0.459289 + 0.167168i 0.561294 0.827616i \(-0.310304\pi\)
−0.102005 + 0.994784i \(0.532526\pi\)
\(168\) −4.69567e6 3.94014e6i −0.0764039 0.0641105i
\(169\) 1.54571e7 8.76614e7i 0.246334 1.39703i
\(170\) 924401. 5.24254e6i 0.0144308 0.0818409i
\(171\) 3.23867e7 + 5.60953e7i 0.495313 + 0.857907i
\(172\) −2.20190e7 + 1.84761e7i −0.329950 + 0.276861i
\(173\) −4.73344e7 + 1.72283e7i −0.695049 + 0.252977i −0.665296 0.746580i \(-0.731694\pi\)
−0.0297536 + 0.999557i \(0.509472\pi\)
\(174\) −1.16455e6 + 2.01706e6i −0.0167585 + 0.0290266i
\(175\) 1.35243e8 + 2.34248e8i 1.90757 + 3.30401i
\(176\) −2.46482e7 2.06823e7i −0.340793 0.285959i
\(177\) −1.93695e7 + 3.35489e7i −0.262550 + 0.454749i
\(178\) −729198. 4.13549e6i −0.00969115 0.0549613i
\(179\) 3.76510e7 0.490671 0.245336 0.969438i \(-0.421102\pi\)
0.245336 + 0.969438i \(0.421102\pi\)
\(180\) 2.13162e7 + 1.20890e8i 0.272431 + 1.54503i
\(181\) 8.08675e7 6.78559e7i 1.01368 0.850575i 0.0248562 0.999691i \(-0.492087\pi\)
0.988820 + 0.149116i \(0.0476428\pi\)
\(182\) −1.31038e7 4.76938e6i −0.161119 0.0586425i
\(183\) 1.01733e7 3.70277e6i 0.122710 0.0446629i
\(184\) 2.00674e7 0.237481
\(185\) −1.06581e8 1.34288e8i −1.23760 1.55932i
\(186\) −632291. −0.00720479
\(187\) 1.86329e7 6.78183e6i 0.208370 0.0758406i
\(188\) −8.87902e7 3.23170e7i −0.974569 0.354714i
\(189\) −7.45541e7 + 6.25583e7i −0.803258 + 0.674014i
\(190\) 3.49219e6 + 1.98052e7i 0.0369368 + 0.209479i
\(191\) 2.66769e7 0.277025 0.138512 0.990361i \(-0.455768\pi\)
0.138512 + 0.990361i \(0.455768\pi\)
\(192\) 7.39355e6 + 4.19309e7i 0.0753874 + 0.427543i
\(193\) 1.40269e7 2.42953e7i 0.140447 0.243261i −0.787218 0.616675i \(-0.788479\pi\)
0.927665 + 0.373414i \(0.121813\pi\)
\(194\) −8.84825e6 7.42457e6i −0.0870065 0.0730071i
\(195\) −7.27674e7 1.26037e8i −0.702774 1.21724i
\(196\) 3.44133e7 5.96055e7i 0.326460 0.565445i
\(197\) 5.27025e7 1.91821e7i 0.491133 0.178758i −0.0845686 0.996418i \(-0.526951\pi\)
0.575702 + 0.817660i \(0.304729\pi\)
\(198\) 2.58725e6 2.17096e6i 0.0236871 0.0198758i
\(199\) 5.23294e7 + 9.06371e7i 0.470717 + 0.815305i 0.999439 0.0334895i \(-0.0106620\pi\)
−0.528722 + 0.848795i \(0.677329\pi\)
\(200\) −9.93310e6 + 5.63334e7i −0.0877970 + 0.497922i
\(201\) 3.50059e6 1.98528e7i 0.0304057 0.172439i
\(202\) −2.04981e6 1.72000e6i −0.0174978 0.0146824i
\(203\) −1.24330e8 4.52526e7i −1.04314 0.379671i
\(204\) −2.50333e7 9.11138e6i −0.206449 0.0751413i
\(205\) −2.01163e8 1.68796e8i −1.63083 1.36843i
\(206\) 2.26204e6 1.28287e7i 0.0180287 0.102246i
\(207\) 2.44851e7 1.38862e8i 0.191869 1.08814i
\(208\) 9.87042e7 + 1.70961e8i 0.760526 + 1.31727i
\(209\) −5.73834e7 + 4.81504e7i −0.434785 + 0.364828i
\(210\) −1.25661e7 + 4.57368e6i −0.0936337 + 0.0340799i
\(211\) −5.94657e7 + 1.02998e8i −0.435791 + 0.754812i −0.997360 0.0726181i \(-0.976865\pi\)
0.561569 + 0.827430i \(0.310198\pi\)
\(212\) −5.77120e7 9.99602e7i −0.415998 0.720529i
\(213\) 3.49248e7 + 2.93054e7i 0.247631 + 0.207787i
\(214\) 1.65827e6 2.87220e6i 0.0115666 0.0200339i
\(215\) 2.18582e7 + 1.23964e8i 0.149996 + 0.850670i
\(216\) −2.05820e7 −0.138963
\(217\) −6.23722e6 3.53730e7i −0.0414364 0.234998i
\(218\) −1.10087e6 + 923743.i −0.00719681 + 0.00603884i
\(219\) −4.29484e7 1.56319e7i −0.276308 0.100568i
\(220\) −1.33402e8 + 4.85543e7i −0.844661 + 0.307432i
\(221\) −1.21655e8 −0.758153
\(222\) 5.57257e6 3.01789e6i 0.0341838 0.0185126i
\(223\) −7.91460e7 −0.477927 −0.238964 0.971029i \(-0.576808\pi\)
−0.238964 + 0.971029i \(0.576808\pi\)
\(224\) 5.17722e7 1.88435e7i 0.307772 0.112020i
\(225\) 3.77694e8 + 1.37469e8i 2.21055 + 0.804575i
\(226\) −6.54606e6 + 5.49279e6i −0.0377225 + 0.0316529i
\(227\) 2.75224e7 + 1.56087e8i 0.156169 + 0.885679i 0.957709 + 0.287738i \(0.0929032\pi\)
−0.801540 + 0.597941i \(0.795986\pi\)
\(228\) 1.00640e8 0.562338
\(229\) 3.26288e6 + 1.85047e7i 0.0179547 + 0.101826i 0.992468 0.122503i \(-0.0390921\pi\)
−0.974513 + 0.224329i \(0.927981\pi\)
\(230\) 2.18893e7 3.79134e7i 0.118627 0.205469i
\(231\) −3.81569e7 3.20175e7i −0.203672 0.170901i
\(232\) −1.39905e7 2.42322e7i −0.0735570 0.127404i
\(233\) 1.53240e8 2.65419e8i 0.793645 1.37463i −0.130051 0.991507i \(-0.541514\pi\)
0.923696 0.383126i \(-0.125152\pi\)
\(234\) −1.94718e7 + 7.08715e6i −0.0993459 + 0.0361590i
\(235\) −3.16982e8 + 2.65979e8i −1.59330 + 1.33693i
\(236\) −1.15921e8 2.00781e8i −0.574076 0.994328i
\(237\) 1.35958e7 7.71057e7i 0.0663416 0.376242i
\(238\) −1.94110e6 + 1.10085e7i −0.00933314 + 0.0529309i
\(239\) −1.81699e8 1.52464e8i −0.860915 0.722393i 0.101250 0.994861i \(-0.467716\pi\)
−0.962165 + 0.272468i \(0.912160\pi\)
\(240\) 1.77891e8 + 6.47472e7i 0.830646 + 0.302330i
\(241\) 4.33760e7 + 1.57876e7i 0.199613 + 0.0726534i 0.439892 0.898051i \(-0.355017\pi\)
−0.240279 + 0.970704i \(0.577239\pi\)
\(242\) −1.14700e7 9.62443e6i −0.0520245 0.0436537i
\(243\) −3.91120e7 + 2.21815e8i −0.174859 + 0.991675i
\(244\) −1.12509e7 + 6.38072e7i −0.0495820 + 0.281193i
\(245\) −1.50705e8 2.61028e8i −0.654705 1.13398i
\(246\) 7.43586e6 6.23942e6i 0.0318462 0.0267222i
\(247\) 4.31870e8 1.57188e8i 1.82353 0.663712i
\(248\) 3.79805e6 6.57842e6i 0.0158118 0.0273868i
\(249\) −1.21282e7 2.10066e7i −0.0497848 0.0862299i
\(250\) 6.33342e7 + 5.31437e7i 0.256359 + 0.215110i
\(251\) −9.38694e7 + 1.62587e8i −0.374685 + 0.648973i −0.990280 0.139090i \(-0.955582\pi\)
0.615595 + 0.788063i \(0.288916\pi\)
\(252\) −4.47607e7 2.53850e8i −0.176195 0.999254i
\(253\) 1.63068e8 0.633061
\(254\) 4.91234e6 + 2.78593e7i 0.0188092 + 0.106672i
\(255\) −8.93691e7 + 7.49896e7i −0.337518 + 0.283211i
\(256\) −2.33954e8 8.51523e7i −0.871546 0.317217i
\(257\) −2.31534e7 + 8.42714e6i −0.0850841 + 0.0309681i −0.384212 0.923245i \(-0.625527\pi\)
0.299127 + 0.954213i \(0.403304\pi\)
\(258\) −4.65293e6 −0.0168678
\(259\) 2.23804e8 + 2.81984e8i 0.800422 + 1.00850i
\(260\) 8.70985e8 3.07329
\(261\) −1.84751e8 + 6.72439e7i −0.643198 + 0.234105i
\(262\) 2.43661e7 + 8.86852e6i 0.0837010 + 0.0304647i
\(263\) 1.34615e8 1.12955e8i 0.456297 0.382879i −0.385469 0.922721i \(-0.625960\pi\)
0.841766 + 0.539842i \(0.181516\pi\)
\(264\) −1.82919e6 1.03739e7i −0.00611851 0.0346998i
\(265\) −5.05472e8 −1.66854
\(266\) −7.33304e6 4.15877e7i −0.0238890 0.135481i
\(267\) −4.60139e7 + 7.96983e7i −0.147945 + 0.256248i
\(268\) 9.24205e7 + 7.75500e7i 0.293289 + 0.246099i
\(269\) 2.30006e8 + 3.98382e8i 0.720453 + 1.24786i 0.960818 + 0.277179i \(0.0893995\pi\)
−0.240365 + 0.970683i \(0.577267\pi\)
\(270\) −2.24506e7 + 3.88856e7i −0.0694152 + 0.120231i
\(271\) 3.65161e8 1.32908e8i 1.11453 0.405656i 0.281877 0.959450i \(-0.409043\pi\)
0.832653 + 0.553794i \(0.186821\pi\)
\(272\) 1.21223e8 1.01718e8i 0.365254 0.306484i
\(273\) 1.52800e8 + 2.64658e8i 0.454522 + 0.787255i
\(274\) 2.78081e6 1.57708e7i 0.00816666 0.0463155i
\(275\) −8.07161e7 + 4.57764e8i −0.234043 + 1.32732i
\(276\) −1.67826e8 1.40822e8i −0.480481 0.403172i
\(277\) −5.95445e7 2.16724e7i −0.168330 0.0612672i 0.256480 0.966549i \(-0.417437\pi\)
−0.424811 + 0.905282i \(0.639659\pi\)
\(278\) 4.76838e7 + 1.73555e7i 0.133111 + 0.0484484i
\(279\) −4.08869e7 3.43082e7i −0.112712 0.0945765i
\(280\) 2.78971e7 1.58212e8i 0.0759461 0.430712i
\(281\) 4.89975e7 2.77878e8i 0.131735 0.747107i −0.845343 0.534224i \(-0.820604\pi\)
0.977078 0.212882i \(-0.0682851\pi\)
\(282\) −7.64773e6 1.32463e7i −0.0203077 0.0351740i
\(283\) 3.58680e8 3.00968e8i 0.940707 0.789347i −0.0370009 0.999315i \(-0.511780\pi\)
0.977708 + 0.209968i \(0.0673360\pi\)
\(284\) −2.56395e8 + 9.33200e7i −0.664194 + 0.241747i
\(285\) 2.20364e8 3.81682e8i 0.563876 0.976662i
\(286\) −1.19819e7 2.07533e7i −0.0302862 0.0524573i
\(287\) 4.22411e8 + 3.54445e8i 1.05475 + 0.885039i
\(288\) 4.09346e7 7.09008e7i 0.100976 0.174895i
\(289\) −5.43203e7 3.08066e8i −0.132379 0.750760i
\(290\) −6.10424e7 −0.146973
\(291\) 4.39559e7 + 2.49286e8i 0.104566 + 0.593025i
\(292\) 2.09536e8 1.75822e8i 0.492514 0.413269i
\(293\) −4.59324e8 1.67180e8i −1.06680 0.388283i −0.251821 0.967774i \(-0.581029\pi\)
−0.814979 + 0.579491i \(0.803252\pi\)
\(294\) 1.04695e7 3.81058e6i 0.0240276 0.00874532i
\(295\) −1.01529e9 −2.30258
\(296\) −2.07500e6 + 7.61056e7i −0.00465048 + 0.170567i
\(297\) −1.67249e8 −0.370438
\(298\) 1.61117e7 5.86418e6i 0.0352683 0.0128366i
\(299\) −9.40130e8 3.42179e8i −2.03394 0.740294i
\(300\) 4.78389e8 4.01416e8i 1.02296 0.858361i
\(301\) −4.58988e7 2.60305e8i −0.0970105 0.550174i
\(302\) −1.44497e7 −0.0301881
\(303\) 1.01829e7 + 5.77504e7i 0.0210293 + 0.119263i
\(304\) −2.98909e8 + 5.17726e8i −0.610213 + 1.05692i
\(305\) 2.17357e8 + 1.82384e8i 0.438656 + 0.368076i
\(306\) 8.30532e6 + 1.43852e7i 0.0165703 + 0.0287007i
\(307\) −2.01243e8 + 3.48563e8i −0.396950 + 0.687537i −0.993348 0.115151i \(-0.963265\pi\)
0.596398 + 0.802689i \(0.296598\pi\)
\(308\) 2.80123e8 1.01956e8i 0.546287 0.198832i
\(309\) −2.18689e8 + 1.83502e8i −0.421670 + 0.353824i
\(310\) −8.28574e6 1.43513e7i −0.0157967 0.0273606i
\(311\) −1.54914e8 + 8.78560e8i −0.292031 + 1.65619i 0.387000 + 0.922080i \(0.373511\pi\)
−0.679031 + 0.734110i \(0.737600\pi\)
\(312\) −1.12226e7 + 6.36466e7i −0.0209196 + 0.118641i
\(313\) 1.09801e8 + 9.21340e7i 0.202396 + 0.169830i 0.738352 0.674416i \(-0.235604\pi\)
−0.535956 + 0.844246i \(0.680049\pi\)
\(314\) −1.18744e7 4.32192e6i −0.0216450 0.00787812i
\(315\) −1.06075e9 3.86082e8i −1.91217 0.695973i
\(316\) 3.58949e8 + 3.01194e8i 0.639923 + 0.536959i
\(317\) −1.56453e8 + 8.87287e8i −0.275851 + 1.56443i 0.460393 + 0.887715i \(0.347709\pi\)
−0.736244 + 0.676716i \(0.763403\pi\)
\(318\) 3.24452e6 1.84006e7i 0.00565790 0.0320875i
\(319\) −1.13686e8 1.96910e8i −0.196083 0.339626i
\(320\) −8.54833e8 + 7.17290e8i −1.45833 + 1.22369i
\(321\) −6.82988e7 + 2.48587e7i −0.115251 + 0.0419480i
\(322\) −4.59641e7 + 7.96122e7i −0.0767226 + 0.132887i
\(323\) −1.84206e8 3.19054e8i −0.304155 0.526811i
\(324\) −1.97467e8 1.65695e8i −0.322543 0.270646i
\(325\) 1.42592e9 2.46976e9i 2.30411 3.99083i
\(326\) 1.18595e7 + 6.72585e7i 0.0189585 + 0.107519i
\(327\) 3.14939e7 0.0498092
\(328\) 2.02498e7 + 1.14843e8i 0.0316857 + 0.179699i
\(329\) 6.65612e8 5.58514e8i 1.03047 0.864667i
\(330\) −2.15946e7 7.85980e6i −0.0330786 0.0120396i
\(331\) −4.26135e7 + 1.55100e7i −0.0645876 + 0.0235080i −0.374112 0.927384i \(-0.622052\pi\)
0.309524 + 0.950892i \(0.399830\pi\)
\(332\) 1.45167e8 0.217713
\(333\) 5.24100e8 + 1.07218e8i 0.777785 + 0.159116i
\(334\) −2.84994e7 −0.0418526
\(335\) 4.96479e8 1.80704e8i 0.721513 0.262609i
\(336\) −3.73544e8 1.35959e8i −0.537223 0.195533i
\(337\) −2.96856e8 + 2.49092e8i −0.422514 + 0.354531i −0.829118 0.559073i \(-0.811157\pi\)
0.406605 + 0.913604i \(0.366713\pi\)
\(338\) 1.49746e7 + 8.49249e7i 0.0210934 + 0.119626i
\(339\) 1.87270e8 0.261078
\(340\) −1.21240e8 6.87588e8i −0.167290 0.948751i
\(341\) 3.08629e7 5.34561e7i 0.0421499 0.0730057i
\(342\) −4.80703e7 4.03358e7i −0.0649809 0.0545255i
\(343\) −1.64669e8 2.85214e8i −0.220334 0.381630i
\(344\) 2.79493e7 4.84097e7i 0.0370183 0.0641176i
\(345\) −9.01553e8 + 3.28138e8i −1.18202 + 0.430220i
\(346\) 3.73828e7 3.13679e7i 0.0485183 0.0407117i
\(347\) 3.32242e8 + 5.75460e8i 0.426876 + 0.739371i 0.996594 0.0824696i \(-0.0262807\pi\)
−0.569718 + 0.821841i \(0.692947\pi\)
\(348\) −5.30450e7 + 3.00833e8i −0.0674710 + 0.382647i
\(349\) −1.81001e8 + 1.02651e9i −0.227925 + 1.29263i 0.629088 + 0.777334i \(0.283428\pi\)
−0.857013 + 0.515294i \(0.827683\pi\)
\(350\) −2.00736e8 1.68438e8i −0.250258 0.209991i
\(351\) 9.64236e8 + 3.50953e8i 1.19017 + 0.433186i
\(352\) 8.89698e7 + 3.23823e7i 0.108728 + 0.0395739i
\(353\) 2.11357e8 + 1.77350e8i 0.255744 + 0.214595i 0.761641 0.647999i \(-0.224394\pi\)
−0.505897 + 0.862594i \(0.668838\pi\)
\(354\) 6.51696e6 3.69595e7i 0.00780789 0.0442807i
\(355\) −2.07489e8 + 1.17673e9i −0.246147 + 1.39597i
\(356\) −2.75380e8 4.76972e8i −0.323487 0.560296i
\(357\) 1.87661e8 1.57466e8i 0.218291 0.183168i
\(358\) −3.42759e7 + 1.24754e7i −0.0394819 + 0.0143703i
\(359\) −8.05534e7 + 1.39523e8i −0.0918868 + 0.159153i −0.908305 0.418308i \(-0.862623\pi\)
0.816418 + 0.577461i \(0.195956\pi\)
\(360\) −1.19362e8 2.06742e8i −0.134837 0.233544i
\(361\) 3.81420e8 + 3.20049e8i 0.426705 + 0.358048i
\(362\) −5.11349e7 + 8.85682e7i −0.0566549 + 0.0981291i
\(363\) 5.69798e7 + 3.23149e8i 0.0625242 + 0.354592i
\(364\) −1.82893e9 −1.98766
\(365\) −2.08006e8 1.17966e9i −0.223898 1.26979i
\(366\) −8.03444e6 + 6.74169e6i −0.00856587 + 0.00718762i
\(367\) −3.11246e8 1.13284e8i −0.328679 0.119629i 0.172409 0.985025i \(-0.444845\pi\)
−0.501089 + 0.865396i \(0.667067\pi\)
\(368\) 1.22290e9 4.45098e8i 1.27915 0.465574i
\(369\) 8.19390e8 0.848982
\(370\) 1.41523e8 + 8.69353e7i 0.145251 + 0.0892257i
\(371\) 1.06141e9 1.07913
\(372\) −7.79272e7 + 2.83632e7i −0.0784854 + 0.0285664i
\(373\) 1.53292e9 + 5.57938e8i 1.52946 + 0.556679i 0.963490 0.267745i \(-0.0862783\pi\)
0.565973 + 0.824424i \(0.308501\pi\)
\(374\) −1.47155e7 + 1.23478e7i −0.0145454 + 0.0122050i
\(375\) −3.14628e8 1.78435e9i −0.308098 1.74731i
\(376\) 1.83754e8 0.178271
\(377\) 2.42238e8 + 1.37380e9i 0.232834 + 1.32047i
\(378\) 4.71427e7 8.16536e7i 0.0448945 0.0777596i
\(379\) −3.33612e8 2.79934e8i −0.314778 0.264130i 0.471685 0.881767i \(-0.343646\pi\)
−0.786464 + 0.617637i \(0.788090\pi\)
\(380\) 1.31882e9 + 2.28426e9i 1.23294 + 2.13551i
\(381\) 3.09979e8 5.36899e8i 0.287140 0.497342i
\(382\) −2.42856e7 + 8.83923e6i −0.0222908 + 0.00811321i
\(383\) 1.19669e9 1.00414e9i 1.08839 0.913271i 0.0918039 0.995777i \(-0.470737\pi\)
0.996591 + 0.0825057i \(0.0262923\pi\)
\(384\) −8.46951e7 1.46696e8i −0.0763306 0.132208i
\(385\) 2.26691e8 1.28563e9i 0.202452 1.14816i
\(386\) −4.71943e6 + 2.67652e7i −0.00417670 + 0.0236873i
\(387\) −3.00881e8 2.52469e8i −0.263880 0.221421i
\(388\) −1.42356e9 5.18134e8i −1.23727 0.450330i
\(389\) −6.69818e8 2.43794e8i −0.576943 0.209990i 0.0370340 0.999314i \(-0.488209\pi\)
−0.613977 + 0.789324i \(0.710431\pi\)
\(390\) 1.08006e8 + 9.06278e7i 0.0921981 + 0.0773634i
\(391\) −1.39264e8 + 7.89805e8i −0.117820 + 0.668192i
\(392\) −2.32426e7 + 1.31815e8i −0.0194887 + 0.110526i
\(393\) −2.84127e8 4.92123e8i −0.236123 0.408978i
\(394\) −4.16223e7 + 3.49253e7i −0.0342838 + 0.0287675i
\(395\) 1.92826e9 7.01829e8i 1.57426 0.572982i
\(396\) 2.21484e8 3.83621e8i 0.179229 0.310434i
\(397\) −4.52794e8 7.84262e8i −0.363190 0.629063i 0.625294 0.780389i \(-0.284979\pi\)
−0.988484 + 0.151326i \(0.951646\pi\)
\(398\) −7.76706e7 6.51733e7i −0.0617541 0.0518178i
\(399\) −4.62730e8 + 8.01471e8i −0.364689 + 0.631659i
\(400\) 6.44165e8 + 3.65324e9i 0.503254 + 2.85409i
\(401\) 6.39648e8 0.495377 0.247688 0.968840i \(-0.420329\pi\)
0.247688 + 0.968840i \(0.420329\pi\)
\(402\) 3.39131e6 + 1.92331e7i 0.00260361 + 0.0147658i
\(403\) −2.90105e8 + 2.43427e8i −0.220794 + 0.185268i
\(404\) −3.29786e8 1.20032e8i −0.248827 0.0905657i
\(405\) −1.06079e9 + 3.86095e8i −0.793479 + 0.288803i
\(406\) 1.28180e8 0.0950556
\(407\) −1.68614e7 + 6.18432e8i −0.0123969 + 0.454686i
\(408\) 5.18072e7 0.0377642
\(409\) −1.47199e9 + 5.35762e8i −1.06384 + 0.387205i −0.813868 0.581050i \(-0.802642\pi\)
−0.249968 + 0.968254i \(0.580420\pi\)
\(410\) 2.39060e8 + 8.70108e7i 0.171303 + 0.0623490i
\(411\) −2.68843e8 + 2.25586e8i −0.191008 + 0.160275i
\(412\) −2.96680e8 1.68255e9i −0.209000 1.18530i
\(413\) 2.13196e9 1.48920
\(414\) 2.37207e7 + 1.34527e8i 0.0164296 + 0.0931769i
\(415\) 3.17863e8 5.50554e8i 0.218309 0.378122i
\(416\) −4.44985e8 3.73386e8i −0.303053 0.254292i
\(417\) −5.56030e8 9.63072e8i −0.375510 0.650403i
\(418\) 3.62852e7 6.28478e7i 0.0243004 0.0420894i
\(419\) −2.55284e9 + 9.29159e8i −1.69541 + 0.617079i −0.995290 0.0969442i \(-0.969093\pi\)
−0.700122 + 0.714024i \(0.746871\pi\)
\(420\) −1.34355e9 + 1.12737e9i −0.884876 + 0.742499i
\(421\) −6.11036e8 1.05835e9i −0.399098 0.691258i 0.594517 0.804083i \(-0.297343\pi\)
−0.993615 + 0.112825i \(0.964010\pi\)
\(422\) 2.00075e7 1.13468e8i 0.0129599 0.0734990i
\(423\) 2.24206e8 1.27153e9i 0.144031 0.816839i
\(424\) 1.71952e8 + 1.44285e8i 0.109554 + 0.0919266i
\(425\) −2.14821e9 7.81885e8i −1.35742 0.494062i
\(426\) −4.15043e7 1.51063e7i −0.0260111 0.00946727i
\(427\) −4.56415e8 3.82978e8i −0.283702 0.238054i
\(428\) 7.55338e7 4.28373e8i 0.0465680 0.264100i
\(429\) −9.11947e7 + 5.17191e8i −0.0557660 + 0.316264i
\(430\) −6.09735e7 1.05609e8i −0.0369830 0.0640564i
\(431\) 7.06709e8 5.92999e8i 0.425177 0.356766i −0.404951 0.914338i \(-0.632712\pi\)
0.830128 + 0.557572i \(0.188267\pi\)
\(432\) −1.25425e9 + 4.56511e8i −0.748501 + 0.272432i
\(433\) −6.45301e8 + 1.11769e9i −0.381992 + 0.661630i −0.991347 0.131268i \(-0.958095\pi\)
0.609355 + 0.792898i \(0.291429\pi\)
\(434\) 1.73987e7 + 3.01355e7i 0.0102165 + 0.0176956i
\(435\) 1.02478e9 + 8.59890e8i 0.596921 + 0.500876i
\(436\) −9.42411e7 + 1.63230e8i −0.0544550 + 0.0943188i
\(437\) −5.26109e8 2.98371e9i −0.301572 1.71030i
\(438\) 4.42780e7 0.0251785
\(439\) 2.05958e8 + 1.16804e9i 0.116186 + 0.658921i 0.986156 + 0.165818i \(0.0530264\pi\)
−0.869971 + 0.493103i \(0.835862\pi\)
\(440\) 2.11489e8 1.77460e8i 0.118360 0.0993155i
\(441\) 8.83769e8 + 3.21666e8i 0.490686 + 0.178595i
\(442\) 1.10750e8 4.03096e7i 0.0610049 0.0222040i
\(443\) 2.24438e9 1.22654 0.613272 0.789872i \(-0.289853\pi\)
0.613272 + 0.789872i \(0.289853\pi\)
\(444\) 5.51421e8 6.21916e8i 0.298981 0.337203i
\(445\) −2.41192e9 −1.29749
\(446\) 7.20513e7 2.62245e7i 0.0384565 0.0139970i
\(447\) −3.53089e8 1.28514e8i −0.186986 0.0680572i
\(448\) 1.79501e9 1.50620e9i 0.943181 0.791423i
\(449\) −2.06400e7 1.17056e8i −0.0107609 0.0610281i 0.978954 0.204079i \(-0.0654199\pi\)
−0.989715 + 0.143051i \(0.954309\pi\)
\(450\) −3.89386e8 −0.201436
\(451\) 1.64550e8 + 9.33208e8i 0.0844655 + 0.479028i
\(452\) −5.60380e8 + 9.70606e8i −0.285429 + 0.494377i
\(453\) 2.42581e8 + 2.03550e8i 0.122607 + 0.102879i
\(454\) −7.67737e7 1.32976e8i −0.0385050 0.0666926i
\(455\) −4.00469e9 + 6.93632e9i −1.99310 + 3.45215i
\(456\) −1.83913e8 + 6.69390e7i −0.0908315 + 0.0330599i
\(457\) 5.40613e8 4.53629e8i 0.264960 0.222328i −0.500622 0.865666i \(-0.666895\pi\)
0.765582 + 0.643338i \(0.222451\pi\)
\(458\) −9.10182e6 1.57648e7i −0.00442689 0.00766760i
\(459\) 1.42835e8 8.10057e8i 0.0689429 0.390995i
\(460\) 9.97055e8 5.65458e9i 0.477603 2.70862i
\(461\) 2.50242e9 + 2.09978e9i 1.18961 + 0.998205i 0.999866 + 0.0163721i \(0.00521162\pi\)
0.189748 + 0.981833i \(0.439233\pi\)
\(462\) 4.53453e7 + 1.65043e7i 0.0213937 + 0.00778666i
\(463\) −1.58688e9 5.77576e8i −0.743036 0.270443i −0.0573637 0.998353i \(-0.518269\pi\)
−0.685672 + 0.727910i \(0.740492\pi\)
\(464\) −1.39004e9 1.16638e9i −0.645974 0.542036i
\(465\) −6.30630e7 + 3.57648e8i −0.0290864 + 0.164957i
\(466\) −5.15584e7 + 2.92402e8i −0.0236020 + 0.133853i
\(467\) 1.86211e8 + 3.22527e8i 0.0846051 + 0.146540i 0.905223 0.424937i \(-0.139704\pi\)
−0.820618 + 0.571477i \(0.806370\pi\)
\(468\) −2.08190e9 + 1.74692e9i −0.938858 + 0.787796i
\(469\) −1.04253e9 + 3.79449e8i −0.466641 + 0.169843i
\(470\) 2.00437e8 3.47167e8i 0.0890502 0.154239i
\(471\) 1.38464e8 + 2.39827e8i 0.0610611 + 0.105761i
\(472\) 3.45385e8 + 2.89812e8i 0.151184 + 0.126859i
\(473\) 2.27116e8 3.93376e8i 0.0986808 0.170920i
\(474\) 1.31714e7 + 7.46987e7i 0.00568078 + 0.0322173i
\(475\) 8.63631e9 3.69743
\(476\) 2.54586e8 + 1.44383e9i 0.108196 + 0.613608i
\(477\) 1.20822e9 1.01382e9i 0.509722 0.427707i
\(478\) 2.15929e8 + 7.85918e7i 0.0904303 + 0.0329139i
\(479\) −2.57027e9 + 9.35503e8i −1.06857 + 0.388929i −0.815644 0.578555i \(-0.803617\pi\)
−0.252931 + 0.967484i \(0.581395\pi\)
\(480\) −5.57051e8 −0.229906
\(481\) 1.39492e9 3.53005e9i 0.571534 1.44635i
\(482\) −4.47189e7 −0.0181897
\(483\) 1.89312e9 6.89039e8i 0.764475 0.278246i
\(484\) −1.84536e9 6.71655e8i −0.739812 0.269270i
\(485\) −5.08213e9 + 4.26441e9i −2.02278 + 1.69732i
\(486\) −3.78911e7 2.14891e8i −0.0149730 0.0849164i
\(487\) 2.14422e9 0.841235 0.420618 0.907238i \(-0.361813\pi\)
0.420618 + 0.907238i \(0.361813\pi\)
\(488\) −2.18799e7 1.24087e8i −0.00852269 0.0483346i
\(489\) 7.48357e8 1.29619e9i 0.289420 0.501290i
\(490\) 2.23686e8 + 1.87695e8i 0.0858918 + 0.0720718i
\(491\) −1.23574e9 2.14036e9i −0.471130 0.816021i 0.528325 0.849042i \(-0.322820\pi\)
−0.999455 + 0.0330217i \(0.989487\pi\)
\(492\) 6.36552e8 1.10254e9i 0.240966 0.417366i
\(493\) 1.05081e9 3.82463e8i 0.394966 0.143756i
\(494\) −3.41074e8 + 2.86195e8i −0.127293 + 0.106811i
\(495\) −9.69936e8 1.67998e9i −0.359439 0.622566i
\(496\) 8.55408e7 4.85126e8i 0.0314766 0.178513i
\(497\) 4.35694e8 2.47094e9i 0.159197 0.902849i
\(498\) 1.80014e7 + 1.51049e7i 0.00653135 + 0.00548045i
\(499\) −7.88780e8 2.87092e8i −0.284187 0.103436i 0.195994 0.980605i \(-0.437207\pi\)
−0.480181 + 0.877170i \(0.659429\pi\)
\(500\) 1.01896e10 + 3.70871e9i 3.64554 + 1.32687i
\(501\) 4.78446e8 + 4.01463e8i 0.169981 + 0.142631i
\(502\) 3.15828e7 1.79115e8i 0.0111426 0.0631930i
\(503\) 1.99172e8 1.12956e9i 0.0697815 0.395751i −0.929833 0.367982i \(-0.880049\pi\)
0.999614 0.0277686i \(-0.00884016\pi\)
\(504\) 2.50642e8 + 4.34125e8i 0.0872062 + 0.151046i
\(505\) −1.17734e9 + 9.87905e8i −0.406801 + 0.341347i
\(506\) −1.48450e8 + 5.40314e7i −0.0509394 + 0.0185404i
\(507\) 9.44925e8 1.63666e9i 0.322010 0.557738i
\(508\) 1.85513e9 + 3.21319e9i 0.627845 + 1.08746i
\(509\) −2.10315e9 1.76475e9i −0.706900 0.593159i 0.216828 0.976210i \(-0.430429\pi\)
−0.923727 + 0.383051i \(0.874874\pi\)
\(510\) 5.65107e7 9.78794e7i 0.0188640 0.0326735i
\(511\) 4.36780e8 + 2.47710e9i 0.144807 + 0.821242i
\(512\) 1.26244e9 0.415685
\(513\) 5.39599e8 + 3.06022e9i 0.176466 + 1.00079i
\(514\) 1.82856e7 1.53434e7i 0.00593934 0.00498370i
\(515\) −7.03079e9 2.55900e9i −2.26819 0.825553i
\(516\) −5.73455e8 + 2.08721e8i −0.183749 + 0.0668793i
\(517\) 1.49318e9 0.475221
\(518\) −2.97176e8 1.82550e8i −0.0939418 0.0577070i
\(519\) −1.06945e9 −0.335796
\(520\) −1.59168e9 + 5.79322e8i −0.496412 + 0.180679i
\(521\) 3.37554e9 + 1.22860e9i 1.04571 + 0.380607i 0.807042 0.590494i \(-0.201067\pi\)
0.238668 + 0.971101i \(0.423289\pi\)
\(522\) 1.45909e8 1.22432e8i 0.0448988 0.0376746i
\(523\) 4.28560e8 + 2.43048e9i 0.130995 + 0.742911i 0.977565 + 0.210633i \(0.0675526\pi\)
−0.846570 + 0.532278i \(0.821336\pi\)
\(524\) 3.40084e9 1.03259
\(525\) 9.97206e8 + 5.65544e9i 0.300765 + 1.70572i
\(526\) −8.51209e7 + 1.47434e8i −0.0255027 + 0.0441719i
\(527\) 2.32553e8 + 1.95135e8i 0.0692125 + 0.0580762i
\(528\) −3.41564e8 5.91606e8i −0.100984 0.174910i
\(529\) −1.59528e9 + 2.76311e9i −0.468535 + 0.811527i
\(530\) 4.60162e8 1.67485e8i 0.134259 0.0488664i
\(531\) 2.42685e9 2.03637e9i 0.703415 0.590235i
\(532\) −2.76930e9 4.79658e9i −0.797407 1.38115i
\(533\) 1.00956e9 5.72549e9i 0.288793 1.63783i
\(534\) 1.54816e7 8.78005e7i 0.00439968 0.0249518i
\(535\) −1.45924e9 1.22445e9i −0.411991 0.345701i
\(536\) −2.20474e8 8.02461e7i −0.0618417 0.0225085i
\(537\) 7.51160e8 + 2.73400e8i 0.209326 + 0.0761883i
\(538\) −3.41389e8 2.86460e8i −0.0945174 0.0793095i
\(539\) −1.88869e8 + 1.07113e9i −0.0519516 + 0.294632i
\(540\) −1.02262e9 + 5.79957e9i −0.279471 + 1.58496i
\(541\) −2.91323e9 5.04586e9i −0.791014 1.37008i −0.925340 0.379139i \(-0.876220\pi\)
0.134325 0.990937i \(-0.457113\pi\)
\(542\) −2.88390e8 + 2.41988e8i −0.0778005 + 0.0652824i
\(543\) 2.10609e9 7.66553e8i 0.564517 0.205467i
\(544\) −2.32824e8 + 4.03263e8i −0.0620057 + 0.107397i
\(545\) 4.12707e8 + 7.14829e8i 0.109208 + 0.189154i
\(546\) −2.26796e8 1.90304e8i −0.0596294 0.0500350i
\(547\) −3.33700e9 + 5.77986e9i −0.871768 + 1.50995i −0.0116013 + 0.999933i \(0.503693\pi\)
−0.860166 + 0.510013i \(0.829640\pi\)
\(548\) −3.64719e8 2.06842e9i −0.0946731 0.536918i
\(549\) −8.85350e8 −0.228356
\(550\) −7.81965e7 4.43474e8i −0.0200409 0.113658i
\(551\) −3.23615e9 + 2.71546e9i −0.824135 + 0.691532i
\(552\) 4.00358e8 + 1.45718e8i 0.101312 + 0.0368746i
\(553\) −4.04904e9 + 1.47373e9i −1.01816 + 0.370578i
\(554\) 6.13879e7 0.0153391
\(555\) −1.15124e9 3.45306e9i −0.285851 0.857391i
\(556\) 6.65536e9 1.64214
\(557\) 2.99689e8 1.09078e8i 0.0734816 0.0267451i −0.305018 0.952347i \(-0.598662\pi\)
0.378499 + 0.925602i \(0.376440\pi\)
\(558\) 4.85896e7 + 1.76852e7i 0.0118392 + 0.00430913i
\(559\) −2.13484e9 + 1.79134e9i −0.516921 + 0.433748i
\(560\) −1.80913e9 1.02601e10i −0.435324 2.46885i
\(561\) 4.20984e8 0.100669
\(562\) 4.74680e7 + 2.69204e8i 0.0112804 + 0.0639742i
\(563\) 3.31935e9 5.74928e9i 0.783923 1.35779i −0.145718 0.989326i \(-0.546549\pi\)
0.929641 0.368468i \(-0.120117\pi\)
\(564\) −1.53675e9 1.28949e9i −0.360684 0.302650i
\(565\) 2.45405e9 + 4.25054e9i 0.572419 + 0.991459i
\(566\) −2.26804e8 + 3.92835e8i −0.0525766 + 0.0910654i
\(567\) 2.22749e9 8.10738e8i 0.513185 0.186784i
\(568\) 4.06476e8 3.41074e8i 0.0930714 0.0780961i
\(569\) 2.15381e9 + 3.73051e9i 0.490133 + 0.848936i 0.999936 0.0113560i \(-0.00361481\pi\)
−0.509802 + 0.860292i \(0.670281\pi\)
\(570\) −7.41426e7 + 4.20484e8i −0.0167689 + 0.0951014i
\(571\) 3.64963e8 2.06981e9i 0.0820394 0.465268i −0.915917 0.401368i \(-0.868535\pi\)
0.997956 0.0639004i \(-0.0203540\pi\)
\(572\) −2.40767e9 2.02027e9i −0.537911 0.451361i
\(573\) 5.32221e8 + 1.93712e8i 0.118182 + 0.0430147i
\(574\) −5.01989e8 1.82709e8i −0.110790 0.0403244i
\(575\) −1.44018e10 1.20845e10i −3.15922 2.65090i
\(576\) 6.04635e8 3.42906e9i 0.131830 0.747646i
\(577\) −1.40685e9 + 7.97865e9i −0.304883 + 1.72908i 0.319174 + 0.947696i \(0.396595\pi\)
−0.624057 + 0.781379i \(0.714517\pi\)
\(578\) 1.51527e8 + 2.62452e8i 0.0326393 + 0.0565330i
\(579\) 4.56264e8 3.82851e8i 0.0976881 0.0819700i
\(580\) −7.52323e9 + 2.73823e9i −1.60106 + 0.582737i
\(581\) −6.67461e8 + 1.15608e9i −0.141192 + 0.244551i
\(582\) −1.22615e8 2.12376e8i −0.0257818 0.0446554i
\(583\) 1.39728e9 + 1.17246e9i 0.292041 + 0.245052i
\(584\) −2.65970e8 + 4.60674e8i −0.0552571 + 0.0957081i
\(585\) 2.06670e9 + 1.17209e10i 0.426808 + 2.42055i
\(586\) 4.73544e8 0.0972118
\(587\) 3.25884e8 + 1.84818e9i 0.0665013 + 0.377148i 0.999835 + 0.0181388i \(0.00577409\pi\)
−0.933334 + 0.359009i \(0.883115\pi\)
\(588\) 1.11939e9 9.39277e8i 0.227070 0.190534i
\(589\) −1.07768e9 3.92244e8i −0.217314 0.0790957i
\(590\) 9.24283e8 3.36412e8i 0.185278 0.0674355i
\(591\) 1.19074e9 0.237279
\(592\) 1.56158e9 + 4.68385e9i 0.309342 + 0.927848i
\(593\) 3.60030e9 0.709001 0.354501 0.935056i \(-0.384651\pi\)
0.354501 + 0.935056i \(0.384651\pi\)
\(594\) 1.52257e8 5.54168e7i 0.0298073 0.0108490i
\(595\) 6.03324e9 + 2.19592e9i 1.17420 + 0.427373i
\(596\) 1.72265e9 1.44547e9i 0.333299 0.279671i
\(597\) 3.85848e8 + 2.18825e9i 0.0742174 + 0.420908i
\(598\) 9.69235e8 0.185342
\(599\) −2.60327e8 1.47639e9i −0.0494909 0.280677i 0.950012 0.312214i \(-0.101071\pi\)
−0.999503 + 0.0315377i \(0.989960\pi\)
\(600\) −6.07232e8 + 1.05176e9i −0.114769 + 0.198786i
\(601\) −6.69549e9 5.61819e9i −1.25812 1.05569i −0.995880 0.0906852i \(-0.971094\pi\)
−0.262240 0.965003i \(-0.584461\pi\)
\(602\) 1.28035e8 + 2.21763e8i 0.0239189 + 0.0414287i
\(603\) −8.24292e8 + 1.42772e9i −0.153098 + 0.265174i
\(604\) −1.78087e9 + 6.48184e8i −0.328854 + 0.119693i
\(605\) −6.58794e9 + 5.52794e9i −1.20950 + 1.01489i
\(606\) −2.84054e7 4.91995e7i −0.00518497 0.00898063i
\(607\) −9.00667e8 + 5.10794e9i −0.163457 + 0.927012i 0.787184 + 0.616719i \(0.211538\pi\)
−0.950641 + 0.310293i \(0.899573\pi\)
\(608\) 3.05467e8 1.73239e9i 0.0551191 0.312596i
\(609\) −2.15187e9 1.80563e9i −0.386061 0.323943i
\(610\) −2.58304e8 9.40151e7i −0.0460763 0.0167704i
\(611\) −8.60861e9 3.13328e9i −1.52682 0.555718i
\(612\) 1.66889e9 + 1.40036e9i 0.294305 + 0.246951i
\(613\) −9.77109e8 + 5.54146e9i −0.171329 + 0.971656i 0.770967 + 0.636875i \(0.219773\pi\)
−0.942296 + 0.334781i \(0.891338\pi\)
\(614\) 6.77091e7 3.83998e8i 0.0118048 0.0669482i
\(615\) −2.78763e9 4.82831e9i −0.483250 0.837014i
\(616\) −4.44094e8 + 3.72639e8i −0.0765495 + 0.0642326i
\(617\) 5.22307e9 1.90104e9i 0.895217 0.325832i 0.146882 0.989154i \(-0.453076\pi\)
0.748334 + 0.663322i \(0.230854\pi\)
\(618\) 1.38284e8 2.39514e8i 0.0235674 0.0408199i
\(619\) −1.41117e9 2.44421e9i −0.239145 0.414211i 0.721324 0.692598i \(-0.243534\pi\)
−0.960469 + 0.278386i \(0.910200\pi\)
\(620\) −1.66495e9 1.39706e9i −0.280563 0.235421i
\(621\) 3.38225e9 5.85823e9i 0.566742 0.981626i
\(622\) −1.50078e8 8.51135e8i −0.0250064 0.141818i
\(623\) 5.06466e9 0.839154
\(624\) 7.27790e8 + 4.12750e9i 0.119911 + 0.680051i
\(625\) 2.25226e10 1.88987e10i 3.69010 3.09636i
\(626\) −1.30486e8 4.74932e7i −0.0212596 0.00773786i
\(627\) −1.49448e9 + 5.43944e8i −0.242132 + 0.0881289i
\(628\) −1.65734e9 −0.267025
\(629\) −2.98093e9 6.09824e8i −0.477611 0.0977074i
\(630\) 1.09359e9 0.174246
\(631\) −5.25982e9 + 1.91442e9i −0.833427 + 0.303343i −0.723265 0.690571i \(-0.757359\pi\)
−0.110163 + 0.993914i \(0.535137\pi\)
\(632\) −8.56292e8 3.11665e8i −0.134931 0.0491109i
\(633\) −1.93429e9 + 1.62306e9i −0.303115 + 0.254344i
\(634\) −1.51569e8 8.59589e8i −0.0236209 0.133961i
\(635\) 1.62482e10 2.51825
\(636\) −4.25537e8 2.41334e9i −0.0655899 0.371979i
\(637\) 3.33652e9 5.77903e9i 0.511453 0.885863i
\(638\) 1.68740e8 + 1.41590e8i 0.0257244 + 0.0215854i
\(639\) −1.86419e9 3.22887e9i −0.282642 0.489551i
\(640\) 2.21974e9 3.84471e9i 0.334713 0.579740i
\(641\) 1.53446e9 5.58497e8i 0.230119 0.0837563i −0.224387 0.974500i \(-0.572038\pi\)
0.454506 + 0.890744i \(0.349816\pi\)
\(642\) 5.39397e7 4.52608e7i 0.00804518 0.00675071i
\(643\) 4.91822e9 + 8.51860e9i 0.729574 + 1.26366i 0.957064 + 0.289878i \(0.0936148\pi\)
−0.227490 + 0.973780i \(0.573052\pi\)
\(644\) −2.09366e9 + 1.18737e10i −0.308891 + 1.75181i
\(645\) −4.64072e8 + 2.63188e9i −0.0680967 + 0.386196i
\(646\) 2.73410e8 + 2.29418e8i 0.0399025 + 0.0334822i
\(647\) −3.73179e9 1.35826e9i −0.541691 0.197159i 0.0566599 0.998394i \(-0.481955\pi\)
−0.598351 + 0.801234i \(0.704177\pi\)
\(648\) 4.71070e8 + 1.71455e8i 0.0680100 + 0.0247536i
\(649\) 2.80659e9 + 2.35501e9i 0.403016 + 0.338170i
\(650\) −4.79758e8 + 2.72084e9i −0.0685212 + 0.388603i
\(651\) 1.32422e8 7.51005e8i 0.0188117 0.106686i
\(652\) 4.47871e9 + 7.75735e9i 0.632828 + 1.09609i
\(653\) 1.07908e9 9.05458e8i 0.151656 0.127254i −0.563803 0.825909i \(-0.690662\pi\)
0.715459 + 0.698655i \(0.246218\pi\)
\(654\) −2.86708e7 + 1.04353e7i −0.00400791 + 0.00145876i
\(655\) 7.44659e9 1.28979e10i 1.03541 1.79339i
\(656\) 3.78123e9 + 6.54929e9i 0.522962 + 0.905797i
\(657\) 2.86323e9 + 2.40253e9i 0.393892 + 0.330515i
\(658\) −4.20885e8 + 7.28995e8i −0.0575935 + 0.0997548i
\(659\) 6.73412e8 + 3.81911e9i 0.0916604 + 0.519832i 0.995720 + 0.0924249i \(0.0294618\pi\)
−0.904059 + 0.427407i \(0.859427\pi\)
\(660\) −3.01402e9 −0.408078
\(661\) 1.13998e9 + 6.46515e9i 0.153530 + 0.870710i 0.960118 + 0.279596i \(0.0902006\pi\)
−0.806588 + 0.591114i \(0.798688\pi\)
\(662\) 3.36544e7 2.82394e7i 0.00450858 0.00378315i
\(663\) −2.42709e9 8.83389e8i −0.323436 0.117721i
\(664\) −2.65285e8 + 9.65557e7i −0.0351661 + 0.0127994i
\(665\) −2.42550e10 −3.19835
\(666\) −5.12645e8 + 7.60504e7i −0.0672446 + 0.00997566i
\(667\) 9.19624e9 1.19997
\(668\) −3.51243e9 + 1.27842e9i −0.455922 + 0.165942i
\(669\) −1.57901e9 5.74713e8i −0.203889 0.0742095i
\(670\) −3.92099e8 + 3.29010e8i −0.0503656 + 0.0422618i
\(671\) −1.77796e8 1.00833e9i −0.0227192 0.128847i
\(672\) 1.16972e9 0.148692
\(673\) 2.22496e8 + 1.26184e9i 0.0281365 + 0.159570i 0.995639 0.0932925i \(-0.0297392\pi\)
−0.967502 + 0.252862i \(0.918628\pi\)
\(674\) 1.87710e8 3.25124e8i 0.0236145 0.0409015i
\(675\) 1.47711e10 + 1.23944e10i 1.84863 + 1.55118i
\(676\) 5.65510e9 + 9.79493e9i 0.704088 + 1.21952i
\(677\) −4.02794e9 + 6.97660e9i −0.498911 + 0.864139i −0.999999 0.00125698i \(-0.999600\pi\)
0.501088 + 0.865396i \(0.332933\pi\)
\(678\) −1.70483e8 + 6.20509e7i −0.0210077 + 0.00764617i
\(679\) 1.06717e10 8.95459e9i 1.30824 1.09775i
\(680\) 6.78899e8 + 1.17589e9i 0.0827987 + 0.143412i
\(681\) −5.84327e8 + 3.31388e9i −0.0708992 + 0.402089i
\(682\) −1.03840e7 + 5.88905e7i −0.00125348 + 0.00710886i
\(683\) −5.44189e9 4.56628e9i −0.653547 0.548391i 0.254598 0.967047i \(-0.418057\pi\)
−0.908145 + 0.418656i \(0.862501\pi\)
\(684\) −7.73385e9 2.81489e9i −0.924059 0.336330i
\(685\) −8.64321e9 3.14587e9i −1.02744 0.373959i
\(686\) 2.44412e8 + 2.05086e8i 0.0289060 + 0.0242550i
\(687\) −6.92742e7 + 3.92874e8i −0.00815123 + 0.0462279i
\(688\) 6.29483e8 3.56997e9i 0.0736926 0.417932i
\(689\) −5.59544e9 9.69159e9i −0.651729 1.12883i
\(690\) 7.12011e8 5.97448e8i 0.0825115 0.0692354i
\(691\) 4.53547e9 1.65078e9i 0.522936 0.190333i −0.0670452 0.997750i \(-0.521357\pi\)
0.589982 + 0.807417i \(0.299135\pi\)
\(692\) 3.20018e9 5.54288e9i 0.367116 0.635864i
\(693\) 2.03671e9 + 3.52769e9i 0.232468 + 0.402647i
\(694\) −4.93135e8 4.13789e8i −0.0560025 0.0469917i
\(695\) 1.45728e10 2.52408e10i 1.64663 2.85205i
\(696\) −1.03158e8 5.85037e8i −0.0115977 0.0657735i
\(697\) −4.66045e9 −0.521330
\(698\) −1.75351e8 9.94465e8i −0.0195171 0.110687i
\(699\) 4.98455e9 4.18254e9i 0.552022 0.463201i
\(700\) −3.22957e10 1.17547e10i −3.55878 1.29529i
\(701\) −8.08787e9 + 2.94374e9i −0.886791 + 0.322765i −0.744947 0.667124i \(-0.767525\pi\)
−0.141844 + 0.989889i \(0.545303\pi\)
\(702\) −9.94087e8 −0.108454
\(703\) 1.13701e10 1.68674e9i 1.23430 0.183107i
\(704\) 4.02680e9 0.434966
\(705\) −8.25537e9 + 3.00471e9i −0.887308 + 0.322954i
\(706\) −2.51175e8 9.14202e7i −0.0268633 0.00977745i
\(707\) 2.47223e9 2.07445e9i 0.263100 0.220767i
\(708\) −8.54735e8 4.84745e9i −0.0905139 0.513330i
\(709\) −2.72316e9 −0.286954 −0.143477 0.989654i \(-0.545828\pi\)
−0.143477 + 0.989654i \(0.545828\pi\)
\(710\) −2.01012e8 1.13999e9i −0.0210774 0.119536i
\(711\) −3.20144e9 + 5.54506e9i −0.334043 + 0.578579i
\(712\) 8.20492e8 + 6.88474e8i 0.0851911 + 0.0714838i
\(713\) 1.24827e9 + 2.16207e9i 0.128972 + 0.223386i
\(714\) −1.18664e8 + 2.05531e8i −0.0122004 + 0.0211317i
\(715\) −1.29339e10 + 4.70756e9i −1.32330 + 0.481642i
\(716\) −3.66475e9 + 3.07509e9i −0.373120 + 0.313085i
\(717\) −2.51790e9 4.36114e9i −0.255107 0.441858i
\(718\) 2.71026e7 1.53707e8i 0.00273260 0.0154973i
\(719\) −2.48775e9 + 1.41087e10i −0.249606 + 1.41559i 0.559942 + 0.828532i \(0.310823\pi\)
−0.809548 + 0.587054i \(0.800288\pi\)
\(720\) −1.18594e10 9.95124e9i −1.18413 0.993605i
\(721\) 1.47636e10 + 5.37350e9i 1.46696 + 0.533929i
\(722\) −4.53275e8 1.64979e8i −0.0448210 0.0163135i
\(723\) 7.50737e8 + 6.29943e8i 0.0738761 + 0.0619894i
\(724\) −2.32919e9 + 1.32095e10i −0.228097 + 1.29360i
\(725\) −4.55201e9 + 2.58157e10i −0.443629 + 2.51595i
\(726\) −1.58945e8 2.75302e8i −0.0154159 0.0267012i
\(727\) 2.98258e9 2.50268e9i 0.287887 0.241566i −0.487394 0.873182i \(-0.662053\pi\)
0.775281 + 0.631616i \(0.217608\pi\)
\(728\) 3.34227e9 1.21649e9i 0.321056 0.116855i
\(729\) −1.72572e8 + 2.98904e8i −0.0164977 + 0.0285749i
\(730\) 5.80234e8 + 1.00499e9i 0.0552043 + 0.0956167i
\(731\) 1.71132e9 + 1.43597e9i 0.162039 + 0.135967i
\(732\) −6.87794e8 + 1.19129e9i −0.0648141 + 0.112261i
\(733\) −5.80227e8 3.29063e9i −0.0544169 0.308614i 0.945435 0.325810i \(-0.105637\pi\)
−0.999852 + 0.0171965i \(0.994526\pi\)
\(734\) 3.20882e8 0.0299508
\(735\) −1.11121e9 6.30201e9i −0.103227 0.585428i
\(736\) −2.93348e9 + 2.46148e9i −0.271213 + 0.227575i
\(737\) −1.79157e9 6.52078e8i −0.164853 0.0600016i
\(738\) −7.45939e8 + 2.71500e8i −0.0683134 + 0.0248641i
\(739\) −1.74292e10 −1.58863 −0.794313 0.607509i \(-0.792169\pi\)
−0.794313 + 0.607509i \(0.792169\pi\)
\(740\) 2.13418e10 + 4.36601e9i 1.93607 + 0.396072i
\(741\) 9.75747e9 0.880995
\(742\) −9.66267e8 + 3.51692e8i −0.0868327 + 0.0316045i
\(743\) −3.36105e9 1.22332e9i −0.300617 0.109416i 0.187308 0.982301i \(-0.440024\pi\)
−0.487925 + 0.872886i \(0.662246\pi\)
\(744\) 1.23542e8 1.03664e8i 0.0109979 0.00922834i
\(745\) −1.71007e9 9.69828e9i −0.151519 0.859306i
\(746\) −1.58038e9 −0.139372
\(747\) 3.44457e8 + 1.95352e9i 0.0302352 + 0.171473i
\(748\) −1.25974e9 + 2.18193e9i −0.110059 + 0.190627i
\(749\) 3.06417e9 + 2.57114e9i 0.266456 + 0.223584i
\(750\) 8.77656e8 + 1.52015e9i 0.0759644 + 0.131574i
\(751\) −3.09634e9 + 5.36301e9i −0.266752 + 0.462029i −0.968021 0.250868i \(-0.919284\pi\)
0.701269 + 0.712897i \(0.252617\pi\)
\(752\) 1.11979e10 4.07569e9i 0.960224 0.349493i
\(753\) −3.05336e9 + 2.56207e9i −0.260613 + 0.218680i
\(754\) −6.75723e8 1.17039e9i −0.0574076 0.0994328i
\(755\) −1.44118e9 + 8.17334e9i −0.121872 + 0.691170i
\(756\) 2.14734e9 1.21782e10i 0.180749 1.02508i
\(757\) −1.60134e10 1.34368e10i −1.34168 1.12580i −0.981192 0.193033i \(-0.938167\pi\)
−0.360483 0.932766i \(-0.617388\pi\)
\(758\) 3.96461e8 + 1.44300e8i 0.0330643 + 0.0120344i
\(759\) 3.25330e9 + 1.18410e9i 0.270071 + 0.0982977i
\(760\) −3.92940e9 3.29716e9i −0.324697 0.272453i
\(761\) −2.14676e8 + 1.21749e9i −0.0176578 + 0.100143i −0.992363 0.123352i \(-0.960635\pi\)
0.974705 + 0.223495i \(0.0717466\pi\)
\(762\) −1.04294e8 + 5.91480e8i −0.00853919 + 0.0484281i
\(763\) −8.66619e8 1.50103e9i −0.0706305 0.122336i
\(764\) −2.59659e9 + 2.17880e9i