Properties

Label 43.7.h.a.12.21
Level $43$
Weight $7$
Character 43.12
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 12.21
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.21

$q$-expansion

\(f(q)\) \(=\) \(q+(6.66612 + 13.8423i) q^{2} +(-20.8194 - 30.5364i) q^{3} +(-107.270 + 134.512i) q^{4} +(161.163 - 173.692i) q^{5} +(283.911 - 491.748i) q^{6} +(325.973 - 188.201i) q^{7} +(-1618.40 - 369.389i) q^{8} +(-232.693 + 592.892i) q^{9} +O(q^{10})\) \(q+(6.66612 + 13.8423i) q^{2} +(-20.8194 - 30.5364i) q^{3} +(-107.270 + 134.512i) q^{4} +(161.163 - 173.692i) q^{5} +(283.911 - 491.748i) q^{6} +(325.973 - 188.201i) q^{7} +(-1618.40 - 369.389i) q^{8} +(-232.693 + 592.892i) q^{9} +(3478.63 + 1073.02i) q^{10} +(54.5870 + 68.4499i) q^{11} +(6340.80 + 475.178i) q^{12} +(-439.732 + 135.639i) q^{13} +(4778.11 + 3257.66i) q^{14} +(-8659.25 - 1305.17i) q^{15} +(-3225.05 - 14129.9i) q^{16} +(2671.95 - 2479.20i) q^{17} +(-9758.16 + 731.273i) q^{18} +(6892.89 - 2705.26i) q^{19} +(6075.79 + 40310.2i) q^{20} +(-12533.5 - 6035.83i) q^{21} +(-583.623 + 1211.91i) q^{22} +(9898.49 - 1491.96i) q^{23} +(22414.3 + 57110.6i) q^{24} +(-3027.87 - 40404.1i) q^{25} +(-4808.87 - 5182.73i) q^{26} +(-3317.82 + 757.272i) q^{27} +(-9651.80 + 64035.5i) q^{28} +(-8394.41 + 12312.3i) q^{29} +(-39656.9 - 128565. i) q^{30} +(-832.764 + 11112.5i) q^{31} +(91029.0 - 72593.2i) q^{32} +(953.748 - 3091.97i) q^{33} +(52129.5 + 20459.3i) q^{34} +(19845.8 - 86949.9i) q^{35} +(-54790.1 - 94899.3i) q^{36} +(-9433.01 - 5446.15i) q^{37} +(83396.0 + 77380.1i) q^{38} +(13296.9 + 10603.9i) q^{39} +(-324986. + 221572. i) q^{40} +(9308.02 - 4482.50i) q^{41} -213729. i q^{42} +(-70999.7 + 35782.7i) q^{43} -15062.9 q^{44} +(65479.2 + 135969. i) q^{45} +(86636.6 + 127073. i) q^{46} +(-23733.6 + 29761.0i) q^{47} +(-364332. + 392657. i) q^{48} +(12014.5 - 20809.7i) q^{49} +(539103. - 311251. i) q^{50} +(-131334. - 29976.2i) q^{51} +(28924.8 - 73699.2i) q^{52} +(-35117.5 - 10832.3i) q^{53} +(-32599.4 - 40878.4i) q^{54} +(20686.6 + 1550.25i) q^{55} +(-597074. + 184173. i) q^{56} +(-226115. - 154162. i) q^{57} +(-226390. - 34122.7i) q^{58} +(31717.6 + 138964. i) q^{59} +(1.10444e6 - 1.02477e6i) q^{60} +(146213. - 10957.1i) q^{61} +(-159374. + 62549.6i) q^{62} +(35731.0 + 237060. i) q^{63} +(775959. + 373682. i) q^{64} +(-47308.9 + 98238.0i) q^{65} +(49157.9 - 7409.37i) q^{66} +(-12202.2 - 31090.8i) q^{67} +(46863.7 + 625352. i) q^{68} +(-251639. - 271203. i) q^{69} +(1.33588e6 - 304907. i) q^{70} +(-88176.8 + 585015. i) q^{71} +(595598. - 873581. i) q^{72} +(-180234. - 584305. i) q^{73} +(12505.9 - 166880. i) q^{74} +(-1.17076e6 + 933649. i) q^{75} +(-375509. + 1.21737e6i) q^{76} +(30676.2 + 12039.5i) q^{77} +(-58144.3 + 254747. i) q^{78} +(471171. + 816092. i) q^{79} +(-2.97401e6 - 1.71704e6i) q^{80} +(432566. + 401362. i) q^{81} +(124097. + 98963.8i) q^{82} +(337478. - 230088. i) q^{83} +(2.15636e6 - 1.03845e6i) q^{84} -863651. i q^{85} +(-968609. - 744270. i) q^{86} +550741. q^{87} +(-63058.9 - 130943. i) q^{88} +(256722. + 376542. i) q^{89} +(-1.44564e6 + 1.81277e6i) q^{90} +(-117813. + 126973. i) q^{91} +(-861122. + 1.49151e6i) q^{92} +(356672. - 205925. i) q^{93} +(-570173. - 130138. i) q^{94} +(640995. - 1.63323e6i) q^{95} +(-4.11190e6 - 1.26835e6i) q^{96} +(406104. + 509238. i) q^{97} +(368145. + 27588.7i) q^{98} +(-53285.3 + 16436.4i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.66612 + 13.8423i 0.833265 + 1.73029i 0.668163 + 0.744015i \(0.267081\pi\)
0.165102 + 0.986277i \(0.447205\pi\)
\(3\) −20.8194 30.5364i −0.771088 1.13098i −0.987950 0.154776i \(-0.950534\pi\)
0.216862 0.976202i \(-0.430418\pi\)
\(4\) −107.270 + 134.512i −1.67609 + 2.10175i
\(5\) 161.163 173.692i 1.28930 1.38954i 0.410853 0.911702i \(-0.365231\pi\)
0.878449 0.477836i \(-0.158579\pi\)
\(6\) 283.911 491.748i 1.31440 2.27661i
\(7\) 325.973 188.201i 0.950359 0.548690i 0.0571666 0.998365i \(-0.481793\pi\)
0.893192 + 0.449675i \(0.148460\pi\)
\(8\) −1618.40 369.389i −3.16094 0.721463i
\(9\) −232.693 + 592.892i −0.319194 + 0.813294i
\(10\) 3478.63 + 1073.02i 3.47863 + 1.07302i
\(11\) 54.5870 + 68.4499i 0.0410120 + 0.0514274i 0.801915 0.597439i \(-0.203815\pi\)
−0.760903 + 0.648866i \(0.775243\pi\)
\(12\) 6340.80 + 475.178i 3.66945 + 0.274987i
\(13\) −439.732 + 135.639i −0.200151 + 0.0617384i −0.393210 0.919449i \(-0.628635\pi\)
0.193059 + 0.981187i \(0.438159\pi\)
\(14\) 4778.11 + 3257.66i 1.74129 + 1.18719i
\(15\) −8659.25 1305.17i −2.56570 0.386717i
\(16\) −3225.05 14129.9i −0.787366 3.44967i
\(17\) 2671.95 2479.20i 0.543852 0.504621i −0.359718 0.933061i \(-0.617127\pi\)
0.903570 + 0.428440i \(0.140937\pi\)
\(18\) −9758.16 + 731.273i −1.67321 + 0.125390i
\(19\) 6892.89 2705.26i 1.00494 0.394410i 0.194925 0.980818i \(-0.437554\pi\)
0.810016 + 0.586408i \(0.199458\pi\)
\(20\) 6075.79 + 40310.2i 0.759474 + 5.03878i
\(21\) −12533.5 6035.83i −1.35337 0.651747i
\(22\) −583.623 + 1211.91i −0.0548106 + 0.113815i
\(23\) 9898.49 1491.96i 0.813552 0.122623i 0.270929 0.962599i \(-0.412669\pi\)
0.542623 + 0.839976i \(0.317431\pi\)
\(24\) 22414.3 + 57110.6i 1.62140 + 4.13126i
\(25\) −3027.87 40404.1i −0.193784 2.58586i
\(26\) −4808.87 5182.73i −0.273604 0.294875i
\(27\) −3317.82 + 757.272i −0.168563 + 0.0384734i
\(28\) −9651.80 + 64035.5i −0.439678 + 2.91707i
\(29\) −8394.41 + 12312.3i −0.344188 + 0.504831i −0.958832 0.283973i \(-0.908347\pi\)
0.614644 + 0.788805i \(0.289300\pi\)
\(30\) −39656.9 128565.i −1.46877 4.76165i
\(31\) −832.764 + 11112.5i −0.0279535 + 0.373014i 0.965631 + 0.259918i \(0.0836957\pi\)
−0.993584 + 0.113096i \(0.963923\pi\)
\(32\) 91029.0 72593.2i 2.77798 2.21537i
\(33\) 953.748 3091.97i 0.0265394 0.0860387i
\(34\) 52129.5 + 20459.3i 1.32631 + 0.520540i
\(35\) 19845.8 86949.9i 0.462875 2.02799i
\(36\) −54790.1 94899.3i −1.17434 2.03402i
\(37\) −9433.01 5446.15i −0.186228 0.107519i 0.403987 0.914765i \(-0.367624\pi\)
−0.590216 + 0.807246i \(0.700957\pi\)
\(38\) 83396.0 + 77380.1i 1.51983 + 1.41019i
\(39\) 13296.9 + 10603.9i 0.224159 + 0.178761i
\(40\) −324986. + 221572.i −5.07790 + 3.46206i
\(41\) 9308.02 4482.50i 0.135053 0.0650383i −0.365137 0.930954i \(-0.618978\pi\)
0.500190 + 0.865916i \(0.333263\pi\)
\(42\) 213729.i 2.88480i
\(43\) −70999.7 + 35782.7i −0.893000 + 0.450057i
\(44\) −15062.9 −0.176827
\(45\) 65479.2 + 135969.i 0.718565 + 1.49211i
\(46\) 86636.6 + 127073.i 0.890078 + 1.30550i
\(47\) −23733.6 + 29761.0i −0.228597 + 0.286652i −0.882880 0.469598i \(-0.844399\pi\)
0.654283 + 0.756249i \(0.272970\pi\)
\(48\) −364332. + 392657.i −3.29438 + 3.55050i
\(49\) 12014.5 20809.7i 0.102122 0.176880i
\(50\) 539103. 311251.i 4.31282 2.49001i
\(51\) −131334. 29976.2i −0.990074 0.225978i
\(52\) 28924.8 73699.2i 0.205712 0.524146i
\(53\) −35117.5 10832.3i −0.235883 0.0727602i 0.174560 0.984647i \(-0.444150\pi\)
−0.410443 + 0.911886i \(0.634626\pi\)
\(54\) −32599.4 40878.4i −0.207028 0.259605i
\(55\) 20686.6 + 1550.25i 0.124337 + 0.00931778i
\(56\) −597074. + 184173.i −3.39989 + 1.04873i
\(57\) −226115. 154162.i −1.22097 0.832442i
\(58\) −226390. 34122.7i −1.16031 0.174888i
\(59\) 31717.6 + 138964.i 0.154434 + 0.676621i 0.991564 + 0.129617i \(0.0413747\pi\)
−0.837130 + 0.547004i \(0.815768\pi\)
\(60\) 1.10444e6 1.02477e6i 5.11313 4.74429i
\(61\) 146213. 10957.1i 0.644163 0.0482734i 0.251357 0.967895i \(-0.419123\pi\)
0.392806 + 0.919621i \(0.371504\pi\)
\(62\) −159374. + 62549.6i −0.668716 + 0.262452i
\(63\) 35731.0 + 237060.i 0.142897 + 0.948060i
\(64\) 775959. + 373682.i 2.96005 + 1.42549i
\(65\) −47308.9 + 98238.0i −0.172267 + 0.357717i
\(66\) 49157.9 7409.37i 0.170986 0.0257721i
\(67\) −12202.2 31090.8i −0.0405709 0.103373i 0.909152 0.416464i \(-0.136731\pi\)
−0.949723 + 0.313091i \(0.898636\pi\)
\(68\) 46863.7 + 625352.i 0.149042 + 1.98883i
\(69\) −251639. 271203.i −0.766005 0.825557i
\(70\) 1.33588e6 304907.i 3.89471 0.888941i
\(71\) −88176.8 + 585015.i −0.246365 + 1.63453i 0.433475 + 0.901165i \(0.357287\pi\)
−0.679841 + 0.733360i \(0.737951\pi\)
\(72\) 595598. 873581.i 1.59572 2.34049i
\(73\) −180234. 584305.i −0.463307 1.50200i −0.822514 0.568745i \(-0.807429\pi\)
0.359207 0.933258i \(-0.383047\pi\)
\(74\) 12505.9 166880.i 0.0308617 0.411821i
\(75\) −1.17076e6 + 933649.i −2.77513 + 2.21309i
\(76\) −375509. + 1.21737e6i −0.855420 + 2.77320i
\(77\) 30676.2 + 12039.5i 0.0671938 + 0.0263716i
\(78\) −58144.3 + 254747.i −0.122525 + 0.536815i
\(79\) 471171. + 816092.i 0.955646 + 1.65523i 0.732882 + 0.680356i \(0.238175\pi\)
0.222765 + 0.974872i \(0.428492\pi\)
\(80\) −2.97401e6 1.71704e6i −5.80860 3.35360i
\(81\) 432566. + 401362.i 0.813949 + 0.755234i
\(82\) 124097. + 98963.8i 0.225070 + 0.179488i
\(83\) 337478. 230088.i 0.590216 0.402402i −0.231055 0.972941i \(-0.574218\pi\)
0.821271 + 0.570538i \(0.193265\pi\)
\(84\) 2.15636e6 1.03845e6i 3.63817 1.75205i
\(85\) 863651.i 1.40631i
\(86\) −968609. 744270.i −1.52284 1.17013i
\(87\) 550741. 0.836353
\(88\) −63058.9 130943.i −0.0925334 0.192147i
\(89\) 256722. + 376542.i 0.364161 + 0.534126i 0.963968 0.266019i \(-0.0857084\pi\)
−0.599807 + 0.800145i \(0.704756\pi\)
\(90\) −1.44564e6 + 1.81277e6i −1.98304 + 2.48665i
\(91\) −117813. + 126973.i −0.156340 + 0.168495i
\(92\) −861122. + 1.49151e6i −1.10586 + 1.91541i
\(93\) 356672. 205925.i 0.443426 0.256012i
\(94\) −570173. 130138.i −0.686473 0.156683i
\(95\) 640995. 1.63323e6i 0.747625 1.90492i
\(96\) −4.11190e6 1.26835e6i −4.64760 1.43360i
\(97\) 406104. + 509238.i 0.444961 + 0.557963i 0.952843 0.303463i \(-0.0981430\pi\)
−0.507883 + 0.861426i \(0.669572\pi\)
\(98\) 368145. + 27588.7i 0.391148 + 0.0293125i
\(99\) −53285.3 + 16436.4i −0.0549164 + 0.0169395i
\(100\) 5.75964e6 + 3.92685e6i 5.75964 + 3.92685i
\(101\) 414170. + 62426.1i 0.401989 + 0.0605902i 0.346926 0.937893i \(-0.387226\pi\)
0.0550639 + 0.998483i \(0.482464\pi\)
\(102\) −460549. 2.01780e6i −0.433986 1.90142i
\(103\) −835996. + 775691.i −0.765055 + 0.709868i −0.962749 0.270396i \(-0.912845\pi\)
0.197694 + 0.980264i \(0.436655\pi\)
\(104\) 761765. 57086.4i 0.677207 0.0507496i
\(105\) −3.06832e6 + 1.20423e6i −2.65053 + 1.04026i
\(106\) −84152.9 558318.i −0.0706564 0.468775i
\(107\) 1.46876e6 + 707317.i 1.19895 + 0.577382i 0.923375 0.383899i \(-0.125419\pi\)
0.275570 + 0.961281i \(0.411133\pi\)
\(108\) 254040. 527519.i 0.201665 0.418762i
\(109\) −709517. + 106942.i −0.547877 + 0.0825792i −0.417147 0.908839i \(-0.636970\pi\)
−0.130730 + 0.991418i \(0.541732\pi\)
\(110\) 116440. + 296685.i 0.0874833 + 0.222904i
\(111\) 30083.5 + 401436.i 0.0219968 + 0.293526i
\(112\) −3.71053e6 3.99900e6i −2.64108 2.84641i
\(113\) −2.40582e6 + 549113.i −1.66735 + 0.380563i −0.949040 0.315156i \(-0.897943\pi\)
−0.718315 + 0.695718i \(0.755086\pi\)
\(114\) 626660. 4.15762e6i 0.422978 2.80628i
\(115\) 1.33613e6 1.95974e6i 0.878525 1.28856i
\(116\) −755691. 2.44989e6i −0.484139 1.56954i
\(117\) 21903.0 292275.i 0.0136756 0.182488i
\(118\) −1.71215e6 + 1.36539e6i −1.04207 + 0.831021i
\(119\) 404395. 1.31102e6i 0.239974 0.777978i
\(120\) 1.35320e7 + 5.31092e6i 7.83102 + 3.07345i
\(121\) 392504. 1.71967e6i 0.221558 0.970710i
\(122\) 1.12634e6 + 1.95088e6i 0.620285 + 1.07437i
\(123\) −330667. 190911.i −0.177695 0.102592i
\(124\) −1.40543e6 1.30405e6i −0.737130 0.683956i
\(125\) −4.61132e6 3.67741e6i −2.36100 1.88283i
\(126\) −3.04327e6 + 2.07487e6i −1.52135 + 1.03724i
\(127\) −436487. + 210201.i −0.213088 + 0.102618i −0.537383 0.843338i \(-0.680587\pi\)
0.324295 + 0.945956i \(0.394873\pi\)
\(128\) 5.78055e6i 2.75638i
\(129\) 2.57085e6 + 1.42310e6i 1.19759 + 0.662930i
\(130\) −1.67521e6 −0.762498
\(131\) 583388. + 1.21142e6i 0.259504 + 0.538865i 0.989491 0.144596i \(-0.0461882\pi\)
−0.729987 + 0.683461i \(0.760474\pi\)
\(132\) 313599. + 459966.i 0.136349 + 0.199988i
\(133\) 1.73777e6 2.17909e6i 0.738646 0.926233i
\(134\) 349028. 376162.i 0.145059 0.156337i
\(135\) −403178. + 698324.i −0.163868 + 0.283828i
\(136\) −5.24007e6 + 3.02536e6i −2.08315 + 1.20271i
\(137\) −491614. 112208.i −0.191189 0.0436376i 0.125854 0.992049i \(-0.459833\pi\)
−0.317043 + 0.948411i \(0.602690\pi\)
\(138\) 2.07662e6 5.29115e6i 0.790169 2.01332i
\(139\) 4.05598e6 + 1.25110e6i 1.51026 + 0.465853i 0.935756 0.352649i \(-0.114719\pi\)
0.574503 + 0.818502i \(0.305195\pi\)
\(140\) 9.56696e6 + 1.19966e7i 3.48650 + 4.37193i
\(141\) 1.40291e6 + 105134.i 0.500465 + 0.0375047i
\(142\) −8.68576e6 + 2.67920e6i −3.03349 + 0.935709i
\(143\) −33288.1 22695.4i −0.0113836 0.00776123i
\(144\) 9.12792e6 + 1.37581e6i 3.05692 + 0.460757i
\(145\) 785690. + 3.44233e6i 0.257719 + 1.12914i
\(146\) 6.88668e6 6.38990e6i 2.21285 2.05322i
\(147\) −885589. + 66365.7i −0.278792 + 0.0208926i
\(148\) 1.74445e6 684646.i 0.538113 0.211194i
\(149\) −818194. 5.42836e6i −0.247342 1.64101i −0.675542 0.737322i \(-0.736090\pi\)
0.428200 0.903684i \(-0.359148\pi\)
\(150\) −2.07283e7 9.98222e6i −6.14172 2.95769i
\(151\) 2.11984e6 4.40190e6i 0.615705 1.27852i −0.327040 0.945010i \(-0.606051\pi\)
0.942745 0.333514i \(-0.108234\pi\)
\(152\) −1.21548e7 + 1.83203e6i −3.46111 + 0.521678i
\(153\) 848156. + 2.16107e6i 0.236811 + 0.603384i
\(154\) 37836.1 + 504887.i 0.0103596 + 0.138239i
\(155\) 1.79594e6 + 1.93556e6i 0.482277 + 0.519770i
\(156\) −2.85270e6 + 651111.i −0.751421 + 0.171507i
\(157\) −116729. + 774443.i −0.0301632 + 0.200120i −0.998837 0.0482172i \(-0.984646\pi\)
0.968674 + 0.248337i \(0.0798841\pi\)
\(158\) −8.15574e6 + 1.19623e7i −2.06772 + 3.03279i
\(159\) 400345. + 1.29789e6i 0.0995962 + 0.322883i
\(160\) 2.06162e6 2.75103e7i 0.503324 6.71639i
\(161\) 2.94585e6 2.34924e6i 0.705885 0.562924i
\(162\) −2.67226e6 + 8.66325e6i −0.628541 + 2.03768i
\(163\) 6.45779e6 + 2.53450e6i 1.49115 + 0.585233i 0.964320 0.264738i \(-0.0852853\pi\)
0.526830 + 0.849971i \(0.323381\pi\)
\(164\) −395518. + 1.73288e6i −0.0896674 + 0.392859i
\(165\) −383343. 663970.i −0.0853367 0.147807i
\(166\) 5.43462e6 + 3.13768e6i 1.18808 + 0.685938i
\(167\) −2.54545e6 2.36183e6i −0.546530 0.507106i 0.357881 0.933767i \(-0.383499\pi\)
−0.904412 + 0.426661i \(0.859690\pi\)
\(168\) 1.80547e7 + 1.43981e7i 3.80770 + 3.03654i
\(169\) −3.81313e6 + 2.59975e6i −0.789990 + 0.538606i
\(170\) 1.19550e7 5.75720e6i 2.43333 1.17183i
\(171\) 4.71623e6i 0.943207i
\(172\) 2.80292e6 1.33887e7i 0.550839 2.63120i
\(173\) 4.70125e6 0.907977 0.453988 0.891008i \(-0.350001\pi\)
0.453988 + 0.891008i \(0.350001\pi\)
\(174\) 3.67130e6 + 7.62354e6i 0.696903 + 1.44713i
\(175\) −8.59109e6 1.26008e7i −1.60300 2.35117i
\(176\) 791142. 992061.i 0.145116 0.181970i
\(177\) 3.58312e6 3.86168e6i 0.646161 0.696396i
\(178\) −3.50088e6 + 6.06370e6i −0.620751 + 1.07517i
\(179\) −2.80170e6 + 1.61756e6i −0.488498 + 0.282035i −0.723951 0.689851i \(-0.757676\pi\)
0.235453 + 0.971886i \(0.424343\pi\)
\(180\) −2.53134e7 5.77762e6i −4.34043 0.990675i
\(181\) −928786. + 2.36651e6i −0.156632 + 0.399091i −0.987550 0.157303i \(-0.949720\pi\)
0.830919 + 0.556394i \(0.187815\pi\)
\(182\) −2.54295e6 784397.i −0.421817 0.130113i
\(183\) −3.37865e6 4.23670e6i −0.551303 0.691312i
\(184\) −1.65708e7 1.24181e6i −2.66006 0.199344i
\(185\) −2.46620e6 + 760723.i −0.389506 + 0.120147i
\(186\) 5.22810e6 + 3.56446e6i 0.812466 + 0.553930i
\(187\) 315555. + 47562.2i 0.0482558 + 0.00727340i
\(188\) −1.45732e6 6.38491e6i −0.219321 0.960907i
\(189\) −939003. + 871267.i −0.139085 + 0.129052i
\(190\) 2.68806e7 2.01443e6i 3.91903 0.293691i
\(191\) −3.93690e6 + 1.54512e6i −0.565008 + 0.221749i −0.630615 0.776096i \(-0.717197\pi\)
0.0656063 + 0.997846i \(0.479102\pi\)
\(192\) −4.74407e6 3.14749e7i −0.670266 4.44693i
\(193\) 1.01692e7 + 4.89724e6i 1.41454 + 0.681208i 0.976054 0.217529i \(-0.0697997\pi\)
0.438489 + 0.898737i \(0.355514\pi\)
\(194\) −4.34190e6 + 9.01606e6i −0.594669 + 1.23484i
\(195\) 3.98478e6 600609.i 0.537403 0.0810005i
\(196\) 1.51037e6 + 3.84835e6i 0.200592 + 0.511100i
\(197\) −700737. 9.35069e6i −0.0916551 1.22305i −0.833515 0.552497i \(-0.813675\pi\)
0.741860 0.670555i \(-0.233944\pi\)
\(198\) −582724. 628027.i −0.0750701 0.0809064i
\(199\) −9.52639e6 + 2.17434e6i −1.20884 + 0.275910i −0.779017 0.627003i \(-0.784282\pi\)
−0.429824 + 0.902913i \(0.641424\pi\)
\(200\) −1.00245e7 + 6.65085e7i −1.25307 + 8.31356i
\(201\) −695359. + 1.01990e6i −0.0856290 + 0.125595i
\(202\) 1.89678e6 + 6.14922e6i 0.230125 + 0.746047i
\(203\) −419162. + 5.59332e6i −0.0501064 + 0.668624i
\(204\) 1.81203e7 1.44505e7i 2.13440 1.70213i
\(205\) 721530. 2.33914e6i 0.0837515 0.271516i
\(206\) −1.63102e7 6.40129e6i −1.86577 0.732261i
\(207\) −1.41874e6 + 6.21590e6i −0.159953 + 0.700798i
\(208\) 3.33472e6 + 5.77591e6i 0.370569 + 0.641845i
\(209\) 561437. + 324146.i 0.0614982 + 0.0355060i
\(210\) −3.71230e7 3.44451e7i −4.00853 3.71938i
\(211\) 3.77180e6 + 3.00791e6i 0.401515 + 0.320197i 0.803342 0.595518i \(-0.203053\pi\)
−0.401827 + 0.915716i \(0.631625\pi\)
\(212\) 5.22412e6 3.56175e6i 0.548285 0.373814i
\(213\) 1.97000e7 9.48704e6i 2.03858 0.981729i
\(214\) 2.50461e7i 2.55564i
\(215\) −5.22734e6 + 1.80989e7i −0.525975 + 1.82112i
\(216\) 5.64930e6 0.560574
\(217\) 1.81991e6 + 3.77909e6i 0.178103 + 0.369835i
\(218\) −6.21005e6 9.10848e6i −0.599413 0.879177i
\(219\) −1.40902e7 + 1.76686e7i −1.34148 + 1.68217i
\(220\) −2.42757e6 + 2.61630e6i −0.227984 + 0.245708i
\(221\) −838662. + 1.45261e6i −0.0776981 + 0.134577i
\(222\) −5.35627e6 + 3.09244e6i −0.489557 + 0.282646i
\(223\) −246571. 56278.2i −0.0222345 0.00507488i 0.211389 0.977402i \(-0.432201\pi\)
−0.233624 + 0.972327i \(0.575058\pi\)
\(224\) 1.60109e7 4.07952e7i 1.42453 3.62965i
\(225\) 2.46598e7 + 7.60655e6i 2.16492 + 0.667790i
\(226\) −2.36385e7 2.96417e7i −2.04783 2.56790i
\(227\) −2.55850e6 191733.i −0.218730 0.0163915i −0.0350856 0.999384i \(-0.511170\pi\)
−0.183644 + 0.982993i \(0.558789\pi\)
\(228\) 4.49920e7 1.38782e7i 3.79604 1.17092i
\(229\) 6.55232e6 + 4.46730e6i 0.545618 + 0.371996i 0.804537 0.593903i \(-0.202414\pi\)
−0.258918 + 0.965899i \(0.583366\pi\)
\(230\) 3.60341e7 + 5.43127e6i 2.96163 + 0.446394i
\(231\) −271016. 1.18740e6i −0.0219866 0.0963296i
\(232\) 1.81336e7 1.68255e7i 1.45218 1.34742i
\(233\) −1.91648e7 + 1.43620e6i −1.51508 + 0.113540i −0.806138 0.591727i \(-0.798446\pi\)
−0.708942 + 0.705267i \(0.750827\pi\)
\(234\) 4.19178e6 1.64515e6i 0.327153 0.128398i
\(235\) 1.34428e6 + 8.91871e6i 0.103582 + 0.687225i
\(236\) −2.20946e7 1.06402e7i −1.68093 0.809495i
\(237\) 1.51110e7 3.13784e7i 1.13514 2.35714i
\(238\) 2.08433e7 3.14162e6i 1.54609 0.233036i
\(239\) 9.62970e6 + 2.45361e7i 0.705373 + 1.79726i 0.595562 + 0.803309i \(0.296929\pi\)
0.109811 + 0.993953i \(0.464976\pi\)
\(240\) 9.48460e6 + 1.26563e8i 0.686097 + 9.15533i
\(241\) −1.04547e7 1.12675e7i −0.746899 0.804966i 0.239227 0.970964i \(-0.423106\pi\)
−0.986126 + 0.165998i \(0.946916\pi\)
\(242\) 2.64207e7 6.03036e6i 1.86423 0.425498i
\(243\) 2.88066e6 1.91119e7i 0.200758 1.33194i
\(244\) −1.42103e7 + 2.08427e7i −0.978217 + 1.43478i
\(245\) −1.67820e6 5.44058e6i −0.114115 0.369953i
\(246\) 438384. 5.84983e6i 0.0294476 0.392951i
\(247\) −2.66408e6 + 2.12454e6i −0.176790 + 0.140985i
\(248\) 5.45257e6 1.76768e7i 0.357475 1.15891i
\(249\) −1.40521e7 5.51506e6i −0.910216 0.357234i
\(250\) 2.01643e7 8.83455e7i 1.29051 5.65411i
\(251\) −6.85006e6 1.18647e7i −0.433185 0.750299i 0.563960 0.825802i \(-0.309277\pi\)
−0.997146 + 0.0755032i \(0.975944\pi\)
\(252\) −3.57202e7 2.06231e7i −2.23209 1.28870i
\(253\) 642453. + 596109.i 0.0396716 + 0.0368099i
\(254\) −5.81934e6 4.64077e6i −0.355118 0.283197i
\(255\) −2.63728e7 + 1.79807e7i −1.59051 + 1.08439i
\(256\) −3.03549e7 + 1.46181e7i −1.80929 + 0.871310i
\(257\) 9.21308e6i 0.542757i 0.962473 + 0.271378i \(0.0874795\pi\)
−0.962473 + 0.271378i \(0.912521\pi\)
\(258\) −2.56152e6 + 4.50731e7i −0.149155 + 2.62457i
\(259\) −4.09988e6 −0.235978
\(260\) −8.13937e6 1.69016e7i −0.463096 0.961628i
\(261\) −5.34656e6 7.84196e6i −0.300714 0.441066i
\(262\) −1.28799e7 + 1.61509e7i −0.716159 + 0.898034i
\(263\) −865738. + 933044.i −0.0475904 + 0.0512903i −0.756398 0.654111i \(-0.773043\pi\)
0.708808 + 0.705402i \(0.249233\pi\)
\(264\) −2.68569e6 + 4.65175e6i −0.145963 + 0.252816i
\(265\) −7.54113e6 + 4.35387e6i −0.405227 + 0.233958i
\(266\) 4.17478e7 + 9.52867e6i 2.21814 + 0.506276i
\(267\) 6.15345e6 1.56787e7i 0.323285 0.823716i
\(268\) 5.49102e6 + 1.69375e6i 0.285265 + 0.0879926i
\(269\) −1.24045e7 1.55547e7i −0.637268 0.799109i 0.353390 0.935476i \(-0.385029\pi\)
−0.990658 + 0.136367i \(0.956457\pi\)
\(270\) −1.23541e7 925809.i −0.627651 0.0470360i
\(271\) 1.73521e6 535241.i 0.0871855 0.0268932i −0.250856 0.968025i \(-0.580712\pi\)
0.338041 + 0.941131i \(0.390236\pi\)
\(272\) −4.36480e7 2.97587e7i −2.16899 1.47879i
\(273\) 6.33009e6 + 954107.i 0.311116 + 0.0468931i
\(274\) −1.72394e6 7.55308e6i −0.0838052 0.367174i
\(275\) 2.60037e6 2.41280e6i 0.125037 0.116017i
\(276\) 6.34733e7 4.75667e6i 3.01901 0.226243i
\(277\) 2.27310e6 892124.i 0.106949 0.0419746i −0.311263 0.950324i \(-0.600752\pi\)
0.418212 + 0.908349i \(0.362657\pi\)
\(278\) 9.71944e6 + 6.44842e7i 0.452383 + 3.00137i
\(279\) −6.39471e6 3.07953e6i −0.294448 0.141799i
\(280\) −6.42367e7 + 1.33389e8i −2.92624 + 6.07639i
\(281\) −1.57144e7 + 2.36857e6i −0.708238 + 0.106750i −0.493276 0.869873i \(-0.664201\pi\)
−0.214962 + 0.976622i \(0.568963\pi\)
\(282\) 7.89669e6 + 2.01204e7i 0.352126 + 0.897202i
\(283\) −1.20370e6 1.60622e7i −0.0531078 0.708674i −0.958681 0.284484i \(-0.908178\pi\)
0.905573 0.424190i \(-0.139441\pi\)
\(284\) −6.92328e7 7.46152e7i −3.02243 3.25741i
\(285\) −6.32181e7 + 1.44291e7i −2.73091 + 0.623312i
\(286\) 92255.6 612076.i 0.00394361 0.0261642i
\(287\) 2.19055e6 3.21295e6i 0.0926634 0.135912i
\(288\) 2.18581e7 + 7.08622e7i 0.915029 + 2.96645i
\(289\) −810958. + 1.08215e7i −0.0335973 + 0.448325i
\(290\) −4.24124e7 + 3.38228e7i −1.73900 + 1.38680i
\(291\) 7.09547e6 2.30030e7i 0.287940 0.933479i
\(292\) 9.79296e7 + 3.84346e7i 3.93338 + 1.54374i
\(293\) 4.29202e6 1.88046e7i 0.170631 0.747585i −0.815108 0.579308i \(-0.803323\pi\)
0.985740 0.168277i \(-0.0538202\pi\)
\(294\) −6.82210e6 1.18162e7i −0.268458 0.464982i
\(295\) 2.92486e7 + 1.68867e7i 1.13930 + 0.657777i
\(296\) 1.32546e7 + 1.22985e7i 0.511084 + 0.474217i
\(297\) −232945. 185768.i −0.00889169 0.00709089i
\(298\) 6.96870e7 4.75118e7i 2.63332 1.79537i
\(299\) −4.15031e6 + 1.99868e6i −0.155263 + 0.0747706i
\(300\) 2.57633e8i 9.54198i
\(301\) −1.64097e7 + 2.50264e7i −0.601728 + 0.917696i
\(302\) 7.50636e7 2.72527
\(303\) −6.71649e6 1.39469e7i −0.241443 0.501362i
\(304\) −6.04549e7 8.86711e7i −2.15184 3.15618i
\(305\) 2.16609e7 2.71619e7i 0.763443 0.957328i
\(306\) −2.42603e7 + 2.61464e7i −0.846705 + 0.912530i
\(307\) −1.69829e7 + 2.94152e7i −0.586943 + 1.01662i 0.407687 + 0.913122i \(0.366336\pi\)
−0.994630 + 0.103494i \(0.966998\pi\)
\(308\) −4.91009e6 + 2.83484e6i −0.168049 + 0.0970234i
\(309\) 4.10918e7 + 9.37893e6i 1.39277 + 0.317891i
\(310\) −1.48207e7 + 3.77626e7i −0.497491 + 1.26759i
\(311\) 5.90087e6 + 1.82018e6i 0.196171 + 0.0605108i 0.391284 0.920270i \(-0.372031\pi\)
−0.195113 + 0.980781i \(0.562507\pi\)
\(312\) −1.76027e7 2.20731e7i −0.579583 0.726774i
\(313\) 4.76120e7 + 3.56803e6i 1.55269 + 0.116358i 0.823245 0.567687i \(-0.192161\pi\)
0.729441 + 0.684044i \(0.239780\pi\)
\(314\) −1.14982e7 + 3.54673e6i −0.371400 + 0.114562i
\(315\) 4.69339e7 + 3.19990e7i 1.50160 + 1.02378i
\(316\) −1.60317e8 2.41638e7i −5.08062 0.765781i
\(317\) −6.11669e6 2.67990e7i −0.192016 0.841279i −0.975523 0.219896i \(-0.929428\pi\)
0.783507 0.621383i \(-0.213429\pi\)
\(318\) −1.52970e7 + 1.41936e7i −0.475692 + 0.441377i
\(319\) −1.30100e6 + 97496.7i −0.0400780 + 0.00300343i
\(320\) 1.89961e8 7.45544e7i 5.79716 2.27522i
\(321\) −8.97972e6 5.95766e7i −0.271486 1.80119i
\(322\) 5.21564e7 + 2.51172e7i 1.56221 + 0.752321i
\(323\) 1.17105e7 2.43172e7i 0.347512 0.721616i
\(324\) −1.00389e8 + 1.51312e7i −2.95156 + 0.444877i
\(325\) 6.81183e6 + 1.73563e7i 0.198433 + 0.505599i
\(326\) 7.96505e6 + 1.06286e8i 0.229898 + 3.06778i
\(327\) 1.80373e7 + 1.94396e7i 0.515857 + 0.555961i
\(328\) −1.67199e7 + 3.81620e6i −0.473818 + 0.108146i
\(329\) −2.13548e6 + 1.41680e7i −0.0599664 + 0.397851i
\(330\) 6.63548e6 9.73246e6i 0.184642 0.270820i
\(331\) −1.68173e7 5.45203e7i −0.463737 1.50340i −0.821840 0.569718i \(-0.807053\pi\)
0.358103 0.933682i \(-0.383424\pi\)
\(332\) −5.25149e6 + 7.00763e7i −0.143505 + 1.91495i
\(333\) 5.42397e6 4.32547e6i 0.146887 0.117139i
\(334\) 1.57250e7 5.09791e7i 0.422037 1.36821i
\(335\) −7.36677e6 2.89125e6i −0.195949 0.0769043i
\(336\) −4.48642e7 + 1.96563e8i −1.18272 + 5.18184i
\(337\) 1.05009e7 + 1.81881e7i 0.274371 + 0.475224i 0.969976 0.243200i \(-0.0781971\pi\)
−0.695605 + 0.718424i \(0.744864\pi\)
\(338\) −6.14054e7 3.54524e7i −1.59022 0.918112i
\(339\) 6.68556e7 + 6.20330e7i 1.71609 + 1.59229i
\(340\) 1.16171e8 + 9.26437e7i 2.95572 + 2.35711i
\(341\) −806105. + 549593.i −0.0203296 + 0.0138605i
\(342\) −6.52837e7 + 3.14390e7i −1.63202 + 0.785941i
\(343\) 3.52387e7i 0.873248i
\(344\) 1.28124e8 3.16842e7i 3.14742 0.778337i
\(345\) −8.76607e7 −2.13475
\(346\) 3.13391e7 + 6.50762e7i 0.756585 + 1.57106i
\(347\) −1.31292e7 1.92570e7i −0.314231 0.460893i 0.636336 0.771412i \(-0.280449\pi\)
−0.950567 + 0.310519i \(0.899497\pi\)
\(348\) −5.90778e7 + 7.40813e7i −1.40180 + 1.75780i
\(349\) −2.96492e7 + 3.19543e7i −0.697488 + 0.751714i −0.978106 0.208106i \(-0.933270\pi\)
0.280618 + 0.959820i \(0.409461\pi\)
\(350\) 1.17155e8 2.02919e8i 2.73249 4.73281i
\(351\) 1.35624e6 783024.i 0.0313628 0.0181073i
\(352\) 9.93799e6 + 2.26828e6i 0.227861 + 0.0520079i
\(353\) 5.98221e6 1.52424e7i 0.136000 0.346521i −0.846608 0.532218i \(-0.821359\pi\)
0.982607 + 0.185696i \(0.0594541\pi\)
\(354\) 7.73401e7 + 2.38563e7i 1.74339 + 0.537765i
\(355\) 8.74016e7 + 1.09598e8i 1.95360 + 2.44973i
\(356\) −7.81879e7 5.85937e6i −1.73296 0.129868i
\(357\) −4.84530e7 + 1.49458e7i −1.06492 + 0.328483i
\(358\) −4.10674e7 2.79992e7i −0.895051 0.610235i
\(359\) −3.18286e7 4.79739e6i −0.687913 0.103686i −0.204222 0.978925i \(-0.565466\pi\)
−0.483692 + 0.875238i \(0.660704\pi\)
\(360\) −5.57461e7 2.44239e8i −1.19483 5.23490i
\(361\) 5.70647e6 5.29483e6i 0.121296 0.112546i
\(362\) −3.89494e7 + 2.91885e6i −0.821060 + 0.0615300i
\(363\) −6.06843e7 + 2.38168e7i −1.26869 + 0.497925i
\(364\) −4.44153e6 2.94676e7i −0.0920934 0.611000i
\(365\) −1.30536e8 6.28629e7i −2.68443 1.29275i
\(366\) 3.61233e7 7.50107e7i 0.736790 1.52996i
\(367\) 2.48998e7 3.75304e6i 0.503729 0.0759249i 0.107738 0.994179i \(-0.465639\pi\)
0.395991 + 0.918254i \(0.370401\pi\)
\(368\) −5.30043e7 1.35053e8i −1.06357 2.70994i
\(369\) 491731. + 6.56169e6i 0.00978697 + 0.130598i
\(370\) −2.69702e7 2.90670e7i −0.532450 0.573845i
\(371\) −1.34860e7 + 3.07810e6i −0.264096 + 0.0602782i
\(372\) −1.05608e7 + 7.00662e7i −0.205148 + 1.36107i
\(373\) 5.16378e7 7.57388e7i 0.995042 1.45946i 0.110009 0.993931i \(-0.464912\pi\)
0.885033 0.465528i \(-0.154135\pi\)
\(374\) 1.44515e6 + 4.68507e6i 0.0276248 + 0.0895573i
\(375\) −1.62900e7 + 2.17375e8i −0.308906 + 4.12207i
\(376\) 4.94039e7 3.93983e7i 0.929389 0.741163i
\(377\) 2.02125e6 6.55273e6i 0.0377221 0.122292i
\(378\) −1.83199e7 7.19002e6i −0.339193 0.133123i
\(379\) 9.46005e6 4.14472e7i 0.173770 0.761338i −0.810653 0.585526i \(-0.800888\pi\)
0.984424 0.175812i \(-0.0562550\pi\)
\(380\) 1.50930e8 + 2.61418e8i 2.75057 + 4.76413i
\(381\) 1.55062e7 + 8.95248e6i 0.280369 + 0.161871i
\(382\) −4.76319e7 4.41960e7i −0.854492 0.792853i
\(383\) −6.63609e7 5.29210e7i −1.18118 0.941959i −0.182034 0.983292i \(-0.558268\pi\)
−0.999145 + 0.0413330i \(0.986840\pi\)
\(384\) 1.76517e8 1.20347e8i 3.11741 2.12541i
\(385\) 7.03503e6 3.38789e6i 0.123278 0.0593673i
\(386\) 1.73411e8i 3.01520i
\(387\) −4.69414e6 5.04215e7i −0.0809885 0.869927i
\(388\) −1.12061e8 −1.91849
\(389\) −993317. 2.06264e6i −0.0168748 0.0350409i 0.892361 0.451322i \(-0.149047\pi\)
−0.909236 + 0.416281i \(0.863333\pi\)
\(390\) 3.48768e7 + 5.11549e7i 0.587953 + 0.862369i
\(391\) 2.27494e7 2.85268e7i 0.380574 0.477225i
\(392\) −2.71312e7 + 2.92404e7i −0.450412 + 0.485429i
\(393\) 2.48466e7 4.30355e7i 0.409345 0.709006i
\(394\) 1.24764e8 7.20326e7i 2.03986 1.17772i
\(395\) 2.17684e8 + 4.96850e7i 3.53212 + 0.806183i
\(396\) 3.50502e6 8.93064e6i 0.0564423 0.143813i
\(397\) 1.09384e8 + 3.37405e7i 1.74816 + 0.539237i 0.993189 0.116518i \(-0.0371732\pi\)
0.754974 + 0.655755i \(0.227649\pi\)
\(398\) −9.36019e7 1.17373e8i −1.48469 1.86174i
\(399\) −1.02721e8 7.69786e6i −1.61711 0.121186i
\(400\) −5.61140e8 + 1.73089e8i −8.76781 + 2.70451i
\(401\) 2.46974e7 + 1.68384e7i 0.383017 + 0.261137i 0.739488 0.673170i \(-0.235068\pi\)
−0.356471 + 0.934306i \(0.616020\pi\)
\(402\) −1.87532e7 2.82659e6i −0.288667 0.0435095i
\(403\) −1.14109e6 4.99946e6i −0.0174344 0.0763850i
\(404\) −5.28250e7 + 4.90144e7i −0.801116 + 0.743327i
\(405\) 1.39427e8 1.04486e7i 2.09885 0.157287i
\(406\) −8.02188e7 + 3.14836e7i −1.19867 + 0.470442i
\(407\) −142131. 942977.i −0.00210817 0.0139868i
\(408\) 2.01478e8 + 9.70269e7i 2.96653 + 1.42860i
\(409\) 5.21315e6 1.08252e7i 0.0761957 0.158222i −0.859391 0.511319i \(-0.829157\pi\)
0.935587 + 0.353097i \(0.114871\pi\)
\(410\) 3.71890e7 5.60534e6i 0.539589 0.0813299i
\(411\) 6.80868e6 + 1.73482e7i 0.0980703 + 0.249879i
\(412\) −1.46627e7 1.95660e8i −0.209663 2.79776i
\(413\) 3.64922e7 + 3.93292e7i 0.518023 + 0.558296i
\(414\) −9.55000e7 + 2.17973e7i −1.34587 + 0.307185i
\(415\) 1.44243e7 9.56989e7i 0.201813 1.33894i
\(416\) −3.01818e7 + 4.42686e7i −0.419243 + 0.614916i
\(417\) −4.62387e7 1.49902e8i −0.637673 2.06728i
\(418\) −744330. + 9.93239e6i −0.0101915 + 0.135996i
\(419\) −7.32989e7 + 5.84539e7i −0.996450 + 0.794642i −0.978720 0.205201i \(-0.934215\pi\)
−0.0177299 + 0.999843i \(0.505644\pi\)
\(420\) 1.67155e8 5.41902e8i 2.25616 7.31430i
\(421\) 2.28810e7 + 8.98015e6i 0.306641 + 0.120348i 0.513672 0.857987i \(-0.328285\pi\)
−0.207031 + 0.978334i \(0.566380\pi\)
\(422\) −1.64933e7 + 7.22617e7i −0.219467 + 0.961547i
\(423\) −1.21224e7 2.09966e7i −0.160165 0.277414i
\(424\) 5.28329e7 + 3.05031e7i 0.693117 + 0.400171i
\(425\) −1.08260e8 1.00451e8i −1.41027 1.30854i
\(426\) 2.62645e8 + 2.09453e8i 3.39736 + 2.70930i
\(427\) 4.55993e7 3.10891e7i 0.585699 0.399323i
\(428\) −2.52696e8 + 1.21692e8i −3.22305 + 1.55214i
\(429\) 1.48900e6i 0.0188592i
\(430\) −2.85378e8 + 4.82911e7i −3.58934 + 0.607381i
\(431\) −4.15028e7 −0.518377 −0.259189 0.965827i \(-0.583455\pi\)
−0.259189 + 0.965827i \(0.583455\pi\)
\(432\) 2.14003e7 + 4.44382e7i 0.265441 + 0.551195i
\(433\) 7.75456e7 + 1.13739e8i 0.955199 + 1.40102i 0.915728 + 0.401799i \(0.131615\pi\)
0.0394707 + 0.999221i \(0.487433\pi\)
\(434\) −4.01797e7 + 5.03837e7i −0.491516 + 0.616341i
\(435\) 8.87589e7 9.56594e7i 1.07831 1.16214i
\(436\) 6.17246e7 1.06910e8i 0.744730 1.28991i
\(437\) 6.41931e7 3.70619e7i 0.769208 0.444103i
\(438\) −3.38501e8 7.72607e7i −4.02845 0.919467i
\(439\) −2.26176e7 + 5.76288e7i −0.267334 + 0.681155i 0.732666 + 0.680588i \(0.238276\pi\)
−1.00000 0.000566834i \(0.999820\pi\)
\(440\) −3.29065e7 1.01503e7i −0.386300 0.119158i
\(441\) 9.54223e6 + 1.19656e7i 0.111259 + 0.139514i
\(442\) −2.56981e7 1.92580e6i −0.297600 0.0223021i
\(443\) 7.81452e7 2.41046e7i 0.898858 0.277261i 0.189310 0.981917i \(-0.439375\pi\)
0.709549 + 0.704656i \(0.248899\pi\)
\(444\) −5.72250e7 3.90153e7i −0.653788 0.445745i
\(445\) 1.06776e8 + 1.60940e7i 1.21170 + 0.182635i
\(446\) −864649. 3.78827e6i −0.00974620 0.0427009i
\(447\) −1.48728e8 + 1.38000e8i −1.66522 + 1.54510i
\(448\) 3.23269e8 2.42257e7i 3.59526 0.269427i
\(449\) 2.56425e6 1.00639e6i 0.0283283 0.0111180i −0.351135 0.936325i \(-0.614204\pi\)
0.379463 + 0.925207i \(0.376109\pi\)
\(450\) 5.90929e7 + 3.92056e8i 0.648481 + 4.30239i
\(451\) 814923. + 392446.i 0.00888356 + 0.00427810i
\(452\) 1.84210e8 3.82515e8i 1.99479 4.14222i
\(453\) −1.78552e8 + 2.69124e7i −1.92075 + 0.289506i
\(454\) −1.44012e7 3.66937e7i −0.153898 0.392125i
\(455\) 3.06702e6 + 4.09265e7i 0.0325598 + 0.434481i
\(456\) 3.08998e8 + 3.33021e8i 3.25883 + 3.51218i
\(457\) −1.26410e8 + 2.88524e7i −1.32445 + 0.302296i −0.825532 0.564355i \(-0.809125\pi\)
−0.498914 + 0.866651i \(0.666268\pi\)
\(458\) −1.81593e7 + 1.20479e8i −0.189018 + 1.25405i
\(459\) −6.98762e6 + 1.02490e7i −0.0722588 + 0.105984i
\(460\) 1.20282e8 + 3.89946e8i 1.23574 + 4.00618i
\(461\) 1.02799e7 1.37176e8i 0.104927 1.40015i −0.657685 0.753293i \(-0.728464\pi\)
0.762612 0.646857i \(-0.223917\pi\)
\(462\) 1.46297e7 1.16668e7i 0.148358 0.118311i
\(463\) 2.30226e7 7.46375e7i 0.231959 0.751994i −0.762511 0.646975i \(-0.776034\pi\)
0.994470 0.105019i \(-0.0334902\pi\)
\(464\) 2.01044e8 + 7.89040e7i 2.01251 + 0.789851i
\(465\) 2.17148e7 9.51387e7i 0.215972 0.946233i
\(466\) −1.47635e8 2.55711e8i −1.45892 2.52692i
\(467\) −7.60341e7 4.38983e7i −0.746548 0.431020i 0.0778974 0.996961i \(-0.475179\pi\)
−0.824445 + 0.565942i \(0.808513\pi\)
\(468\) 3.69650e7 + 3.42985e7i 0.360623 + 0.334609i
\(469\) −9.82891e6 7.83830e6i −0.0952767 0.0759807i
\(470\) −1.14495e8 + 7.80612e7i −1.10279 + 0.751868i
\(471\) 2.60789e7 1.25590e7i 0.249590 0.120196i
\(472\) 2.36615e8i 2.25018i
\(473\) −6.32498e6 2.90665e6i −0.0597690 0.0274669i
\(474\) 5.35082e8 5.02442
\(475\) −1.30174e8 2.70310e8i −1.21463 2.52221i
\(476\) 1.32968e8 + 1.95028e8i 1.23290 + 1.80833i
\(477\) 1.45940e7 1.83003e7i 0.134468 0.168617i
\(478\) −2.75444e8 + 2.96858e8i −2.52202 + 2.71810i
\(479\) −1.24867e7 + 2.16277e7i −0.113617 + 0.196790i −0.917226 0.398367i \(-0.869577\pi\)
0.803609 + 0.595157i \(0.202910\pi\)
\(480\) −8.82989e8 + 5.09794e8i −7.98420 + 4.60968i
\(481\) 4.88671e6 + 1.11536e6i 0.0439118 + 0.0100226i
\(482\) 8.62764e7 2.19829e8i 0.770461 1.96310i
\(483\) −1.33068e8 4.10461e7i −1.18095 0.364276i
\(484\) 1.89213e8 + 2.37265e8i 1.66884 + 2.09266i
\(485\) 1.53899e8 + 1.15332e7i 1.34900 + 0.101093i
\(486\) 2.83757e8 8.75273e7i 2.47194 0.762491i
\(487\) −1.35204e8 9.21808e7i −1.17059 0.798093i −0.187687 0.982229i \(-0.560099\pi\)
−0.982901 + 0.184135i \(0.941051\pi\)
\(488\) −2.40678e8 3.62764e7i −2.07099 0.312151i
\(489\) −5.70528e7 2.49965e8i −0.487922 2.13773i
\(490\) 6.41233e7 5.94977e7i 0.545039 0.505722i
\(491\) −2.78754e6 + 208898.i −0.0235493 + 0.00176477i −0.0864995 0.996252i \(-0.527568\pi\)
0.0629503 + 0.998017i \(0.479949\pi\)
\(492\) 6.11503e7 2.39997e7i 0.513456 0.201517i
\(493\) 8.09538e6 + 5.37093e7i 0.0675611 + 0.448238i
\(494\) −4.71676e7 2.27147e7i −0.391258 0.188420i
\(495\) −5.73275e6 + 1.19042e7i −0.0472658 + 0.0981485i
\(496\) 1.59703e8 2.40714e7i 1.30879 0.197268i
\(497\) 8.13569e7 + 2.07294e8i 0.662713 + 1.68856i
\(498\) −1.73319e7 2.31279e8i −0.140333 1.87261i
\(499\) −5.35692e6 5.77339e6i −0.0431135 0.0464653i 0.711127 0.703064i \(-0.248185\pi\)
−0.754240 + 0.656598i \(0.771995\pi\)
\(500\) 9.89311e8 2.25804e8i 7.91449 1.80643i
\(501\) −1.91272e7 + 1.26901e8i −0.152103 + 1.00914i
\(502\) 1.18571e8 1.73912e8i 0.937278 1.37473i
\(503\) 3.75339e7 + 1.21682e8i 0.294931 + 0.956142i 0.974851 + 0.222856i \(0.0715381\pi\)
−0.679920 + 0.733286i \(0.737986\pi\)
\(504\) 2.97402e7 3.96856e8i 0.232302 3.09985i
\(505\) 7.75917e7 6.18773e7i 0.602478 0.480460i
\(506\) −3.96887e6 + 1.28668e7i −0.0306349 + 0.0993158i
\(507\) 1.58774e8 + 6.23142e7i 1.21830 + 0.478149i
\(508\) 1.85473e7 8.12609e7i 0.141478 0.619855i
\(509\) 2.53983e7 + 4.39912e7i 0.192598 + 0.333589i 0.946110 0.323844i \(-0.104975\pi\)
−0.753513 + 0.657433i \(0.771642\pi\)
\(510\) −4.24699e8 2.45200e8i −3.20163 1.84846i
\(511\) −1.68718e8 1.56547e8i −1.26444 1.17323i
\(512\) −1.15456e8 9.20731e7i −0.860214 0.685998i
\(513\) −2.08208e7 + 1.41954e7i −0.154222 + 0.105146i
\(514\) −1.27530e8 + 6.14154e7i −0.939128 + 0.452260i
\(515\) 2.70219e8i 1.97831i
\(516\) −4.67198e8 + 1.93154e8i −3.40057 + 1.40590i
\(517\) −3.33269e6 −0.0241170
\(518\) −2.73303e7 5.67519e7i −0.196632 0.408311i
\(519\) −9.78770e7 1.43559e8i −0.700130 1.02690i
\(520\) 1.12853e8 1.41513e8i 0.802606 1.00644i
\(521\) 1.64115e7 1.76873e7i 0.116047 0.125069i −0.672356 0.740228i \(-0.734718\pi\)
0.788403 + 0.615159i \(0.210908\pi\)
\(522\) 7.29103e7 1.26284e8i 0.512598 0.887847i
\(523\) −6.22285e7 + 3.59276e7i −0.434995 + 0.251144i −0.701472 0.712697i \(-0.747474\pi\)
0.266477 + 0.963841i \(0.414140\pi\)
\(524\) −2.25530e8 5.14758e7i −1.56751 0.357774i
\(525\) −2.05923e8 + 5.24682e8i −1.42307 + 3.62592i
\(526\) −1.86866e7 5.76406e6i −0.128403 0.0396069i
\(527\) 2.53250e7 + 3.17565e7i 0.173028 + 0.216971i
\(528\) −4.67651e7 3.50456e6i −0.317702 0.0238085i
\(529\) −4.57049e7 + 1.40981e7i −0.308742 + 0.0952344i
\(530\) −1.10538e8 7.53634e7i −0.742477 0.506212i
\(531\) −8.97709e7 1.35308e7i −0.599587 0.0903731i
\(532\) 1.06704e8 + 4.67501e8i 0.708673 + 3.10490i
\(533\) −3.48503e6 + 3.23363e6i −0.0230157 + 0.0213555i
\(534\) 2.58050e8 1.93382e7i 1.69465 0.126996i
\(535\) 3.59565e8 1.41119e8i 2.34810 0.921560i
\(536\) 8.26350e6 + 5.48247e7i 0.0536623 + 0.356026i
\(537\) 1.07724e8 + 5.18773e7i 0.695650 + 0.335008i
\(538\) 1.32624e8 2.75397e8i 0.851678 1.76853i
\(539\) 2.08026e6 313549.i 0.0132847 0.00200234i
\(540\) −5.06842e7 1.29141e8i −0.321878 0.820132i
\(541\) 1.07580e7 + 1.43556e8i 0.0679423 + 0.906627i 0.922184 + 0.386751i \(0.126403\pi\)
−0.854242 + 0.519876i \(0.825978\pi\)
\(542\) 1.89761e7 + 2.04514e7i 0.119182 + 0.128447i
\(543\) 9.16015e7 2.09074e7i 0.572141 0.130587i
\(544\) 6.32512e7 4.19644e8i 0.392891 2.60666i
\(545\) −9.57726e7 + 1.40473e8i −0.591632 + 0.867765i
\(546\) 2.89900e7 + 9.39834e7i 0.178103 + 0.577395i
\(547\) −1.77246e7 + 2.36518e8i −0.108296 + 1.44511i 0.633112 + 0.774060i \(0.281777\pi\)
−0.741408 + 0.671054i \(0.765842\pi\)
\(548\) 6.78286e7 5.40915e7i 0.412165 0.328691i
\(549\) −2.75263e7 + 8.92380e7i −0.166353 + 0.539303i
\(550\) 5.07331e7 + 1.99113e7i 0.304932 + 0.119677i
\(551\) −2.45537e7 + 1.07577e8i −0.146778 + 0.643078i
\(552\) 3.07074e8 + 5.31867e8i 1.82568 + 3.16218i
\(553\) 3.07178e8 + 1.77349e8i 1.81641 + 1.04871i
\(554\) 2.75018e7 + 2.55179e7i 0.161745 + 0.150078i
\(555\) 7.45746e7 + 5.94713e7i 0.436226 + 0.347879i
\(556\) −6.03373e8 + 4.11372e8i −3.51044 + 2.39338i
\(557\) −1.06516e8 + 5.12953e7i −0.616379 + 0.296833i −0.715900 0.698203i \(-0.753983\pi\)
0.0995205 + 0.995036i \(0.468269\pi\)
\(558\) 1.09046e8i 0.627636i
\(559\) 2.63673e7 2.53651e7i 0.150949 0.145212i
\(560\) −1.29259e9 −7.36035
\(561\) −5.11727e6 1.06261e7i −0.0289834 0.0601847i
\(562\) −1.37541e8 2.01735e8i −0.774858 1.13651i
\(563\) 1.38373e8 1.73514e8i 0.775399 0.972320i −0.224599 0.974451i \(-0.572107\pi\)
0.999998 + 0.00213155i \(0.000678494\pi\)
\(564\) −1.64632e8 + 1.77431e8i −0.917650 + 0.988991i
\(565\) −2.92352e8 + 5.06369e8i −1.62092 + 2.80751i
\(566\) 2.14315e8 1.23735e8i 1.18196 0.682405i
\(567\) 2.16542e8 + 4.94242e7i 1.18793 + 0.271138i
\(568\) 3.58803e8 9.14216e8i 1.95799 4.98889i
\(569\) −2.31872e8 7.15229e7i −1.25867 0.388247i −0.407531 0.913192i \(-0.633610\pi\)
−0.851137 + 0.524944i \(0.824086\pi\)
\(570\) −6.21152e8 7.78900e8i −3.35408 4.20588i
\(571\) 1.22290e8 + 9.16435e6i 0.656873 + 0.0492258i 0.398997 0.916952i \(-0.369358\pi\)
0.257876 + 0.966178i \(0.416977\pi\)
\(572\) 6.62362e6 2.04312e6i 0.0353922 0.0109170i
\(573\) 1.29146e8 + 8.80505e7i 0.686465 + 0.468024i
\(574\) 5.90772e7 + 8.90446e6i 0.312381 + 0.0470838i
\(575\) −9.02525e7 3.95422e8i −0.474740 2.07997i
\(576\) −4.02113e8 + 3.73107e8i −2.10417 + 1.95238i
\(577\) −9.10806e7 + 6.82555e6i −0.474131 + 0.0355312i −0.309653 0.950850i \(-0.600213\pi\)
−0.164478 + 0.986381i \(0.552594\pi\)
\(578\) −1.55200e8 + 6.09117e7i −0.803729 + 0.315440i
\(579\) −6.21728e7 4.12489e8i −0.320306 2.12509i
\(580\) −5.47316e8 2.63573e8i −2.80514 1.35088i
\(581\) 6.67059e7 1.38516e8i 0.340123 0.706272i
\(582\) 3.65714e8 5.51225e7i 1.85512 0.279615i
\(583\) −1.17549e6 2.99509e6i −0.00593216 0.0151149i
\(584\) 7.58550e7 + 1.01222e9i 0.380843 + 5.08200i
\(585\) −4.72360e7 5.09083e7i −0.235942 0.254285i
\(586\) 2.88910e8 6.59419e7i 1.43572 0.327694i
\(587\) 1.80205e7 1.19558e8i 0.0890950 0.591107i −0.899081 0.437782i \(-0.855764\pi\)
0.988176 0.153324i \(-0.0489979\pi\)
\(588\) 8.60699e7 1.26241e8i 0.423369 0.620969i
\(589\) 2.43220e7 + 7.88499e7i 0.119029 + 0.385883i
\(590\) −3.87766e7 + 5.17438e8i −0.188805 + 2.51943i
\(591\) −2.70948e8 + 2.16074e8i −1.31257 + 1.04674i
\(592\) −4.65315e7 + 1.50851e8i −0.224275 + 0.727083i
\(593\) −2.87616e8 1.12881e8i −1.37927 0.541322i −0.444243 0.895907i \(-0.646527\pi\)
−0.935024 + 0.354584i \(0.884622\pi\)
\(594\) 1.01862e6 4.46285e6i 0.00486017 0.0212938i
\(595\) −1.62540e8 2.81527e8i −0.771630 1.33650i
\(596\) 8.17947e8 + 4.72242e8i 3.86355 + 2.23062i
\(597\) 2.64730e8 + 2.45634e8i 1.24417 + 1.15442i
\(598\) −5.53329e7 4.41265e7i −0.258750 0.206346i
\(599\) 9.18273e7 6.26068e7i 0.427259 0.291300i −0.330535 0.943794i \(-0.607229\pi\)
0.757794 + 0.652493i \(0.226277\pi\)
\(600\) 2.23964e9 1.07855e9i 10.3687 4.99329i
\(601\) 8.08127e7i 0.372268i 0.982524 + 0.186134i \(0.0595959\pi\)
−0.982524 + 0.186134i \(0.940404\pi\)
\(602\) −4.55813e8 6.03193e7i −2.08928 0.276482i
\(603\) 2.12728e7 0.0970228
\(604\) 3.64713e8 + 7.57335e8i 1.65516 + 3.43698i
\(605\) −2.35436e8 3.45322e8i −1.06318 1.55940i
\(606\) 1.48285e8 1.85944e8i 0.666316 0.835534i
\(607\) 2.49099e6 2.68464e6i 0.0111379 0.0120039i −0.727458 0.686152i \(-0.759299\pi\)
0.738596 + 0.674148i \(0.235489\pi\)
\(608\) 4.31070e8 7.46634e8i 1.91795 3.32198i
\(609\) 1.79527e8 1.03650e8i 0.794836 0.458899i
\(610\) 5.20378e8 + 1.18773e8i 2.29261 + 0.523273i
\(611\) 6.39966e6 1.63061e7i 0.0280565 0.0714868i
\(612\) −3.81671e8 1.17730e8i −1.66508 0.513609i
\(613\) 1.66986e8 + 2.09394e8i 0.724935 + 0.909039i 0.998606 0.0527841i \(-0.0168095\pi\)
−0.273671 + 0.961823i \(0.588238\pi\)
\(614\) −5.20385e8 3.89975e7i −2.24812 0.168473i
\(615\) −8.64508e7 + 2.66666e7i −0.371658 + 0.114641i
\(616\) −4.51991e7 3.08162e7i −0.193369 0.131837i
\(617\) 3.80960e8 + 5.74205e7i 1.62190 + 0.244462i 0.896233 0.443583i \(-0.146293\pi\)
0.725668 + 0.688045i \(0.241531\pi\)
\(618\) 1.44096e8 + 6.31327e8i 0.610502 + 2.67478i
\(619\) −1.11793e8 + 1.03729e8i −0.471348 + 0.437347i −0.879737 0.475461i \(-0.842281\pi\)
0.408389 + 0.912808i \(0.366091\pi\)
\(620\) −4.53006e8 + 3.39481e7i −1.90077 + 0.142443i
\(621\) −3.17116e7 + 1.24459e7i −0.132417 + 0.0519698i
\(622\) 1.41404e7 + 9.38154e7i 0.0587612 + 0.389855i
\(623\) 1.54550e8 + 7.44273e7i 0.639153 + 0.307800i
\(624\) 1.06949e8 2.22081e8i 0.440171 0.914025i
\(625\) −7.55897e8 + 1.13933e8i −3.09616 + 0.466670i
\(626\) 2.67997e8 + 6.82846e8i 1.09246 + 2.78356i
\(627\) −1.79052e6 2.38928e7i −0.00726400 0.0969313i
\(628\) −9.16505e7 9.87757e7i −0.370046 0.398815i
\(629\) −3.87066e7 + 8.83453e6i −0.155537 + 0.0355003i
\(630\) −1.30074e8 + 8.62984e8i −0.520198 + 3.45129i
\(631\) −1.83947e7 + 2.69801e7i −0.0732159 + 0.107388i −0.861100 0.508435i \(-0.830224\pi\)
0.787884 + 0.615823i \(0.211176\pi\)
\(632\) −4.61087e8 1.49481e9i −1.82655 5.92154i
\(633\) 1.33243e7 1.77800e8i 0.0525331 0.701005i
\(634\) 3.30186e8 2.63314e8i 1.29566 1.03325i
\(635\) −3.38351e7 + 1.09691e8i −0.132144 + 0.428400i
\(636\) −2.17526e8 8.53727e7i −0.845551 0.331854i
\(637\) −2.46054e6 + 1.07803e7i −0.00951946 + 0.0417075i
\(638\) −1.00222e7 1.73590e7i −0.0385924 0.0668440i
\(639\) −3.26332e8 1.88408e8i −1.25071 0.722099i
\(640\) 1.00404e9 + 9.31610e8i 3.83009 + 3.55381i
\(641\) −1.26500e8 1.00880e8i −0.480303 0.383029i 0.353196 0.935549i \(-0.385095\pi\)
−0.833499 + 0.552520i \(0.813666\pi\)
\(642\) 7.64819e8 5.21445e8i 2.89037 1.97062i
\(643\) −7.00853e7 + 3.37513e7i −0.263630 + 0.126957i −0.561030 0.827796i \(-0.689595\pi\)
0.297400 + 0.954753i \(0.403880\pi\)
\(644\) 6.48255e8i 2.42710i
\(645\) 6.61507e8 2.17184e8i 2.46522 0.809375i
\(646\) 4.14671e8 1.53817
\(647\) −1.73895e8 3.61098e8i −0.642060 1.33325i −0.927128 0.374744i \(-0.877731\pi\)
0.285069 0.958507i \(-0.407984\pi\)
\(648\) −5.51806e8 8.09350e8i −2.02797 2.97448i
\(649\) −7.78069e6 + 9.75667e6i −0.0284632 + 0.0356917i
\(650\) −1.94843e8 + 2.09991e8i −0.709487 + 0.764645i
\(651\) 7.75104e7 1.34252e8i 0.280942 0.486606i
\(652\) −1.03365e9 + 5.96776e8i −3.72932 + 2.15312i
\(653\) −3.06213e8 6.98912e7i −1.09973 0.251005i −0.366111 0.930571i \(-0.619311\pi\)
−0.733614 + 0.679566i \(0.762168\pi\)
\(654\) −1.48851e8 + 3.79266e8i −0.532130 + 1.35585i
\(655\) 3.04434e8 + 9.39055e7i 1.08335 + 0.334170i
\(656\) −9.33560e7 1.17065e8i −0.330697 0.414681i
\(657\) 3.88368e8 + 2.91042e7i 1.36946 + 0.102626i
\(658\) −2.10353e8 + 6.48854e7i −0.738366 + 0.227756i
\(659\) 7.51754e7 + 5.12537e7i 0.262676 + 0.179089i 0.687495 0.726189i \(-0.258710\pi\)
−0.424820 + 0.905278i \(0.639663\pi\)
\(660\) 1.30433e8 + 1.96596e7i 0.453686 + 0.0683822i
\(661\) −2.26723e6 9.93339e6i −0.00785040 0.0343948i 0.970851 0.239684i \(-0.0770437\pi\)
−0.978701 + 0.205289i \(0.934187\pi\)
\(662\) 6.42583e8 5.96229e8i 2.21490 2.05513i
\(663\) 6.18178e7 4.63260e6i 0.212116 0.0158959i
\(664\) −6.31166e8 + 2.47714e8i −2.15595 + 0.846149i
\(665\) −9.84276e7 6.53025e8i −0.334697 2.22057i
\(666\) 9.60315e7 + 4.62463e7i 0.325080 + 0.156550i
\(667\) −6.47225e7 + 1.34398e8i −0.218111 + 0.452912i
\(668\) 5.90743e8 8.90402e7i 1.98184 0.298715i
\(669\) 3.41492e6 + 8.70107e6i 0.0114052 + 0.0290599i
\(670\) −9.08619e6 1.21247e8i −0.0302105 0.403130i
\(671\) 8.73133e6 + 9.41013e6i 0.0289010 + 0.0311479i
\(672\) −1.57908e9 + 3.60414e8i −5.20349 + 1.18766i
\(673\) 2.90381e7 1.92655e8i 0.0952627 0.632027i −0.889343 0.457240i \(-0.848838\pi\)
0.984606 0.174787i \(-0.0559238\pi\)
\(674\) −1.81766e8 + 2.66602e8i −0.593653 + 0.870729i
\(675\) 4.06428e7 + 1.31761e8i 0.132152 + 0.428425i
\(676\) 5.93362e7 7.91786e8i 0.192079 2.56311i
\(677\) −1.95671e8 + 1.56043e8i −0.630610 + 0.502895i −0.885843 0.463985i \(-0.846419\pi\)
0.255233 + 0.966880i \(0.417848\pi\)
\(678\) −4.13014e8 + 1.33896e9i −1.32518 + 4.29613i
\(679\) 2.28218e8 + 8.95689e7i 0.729021 + 0.286120i
\(680\) −3.19024e8 + 1.39773e9i −1.01460 + 4.44527i
\(681\) 4.74116e7 + 8.21192e7i 0.150122 + 0.260018i
\(682\) −1.29812e7 7.49472e6i −0.0409226 0.0236267i
\(683\) 1.49459e8 + 1.38677e8i 0.469093 + 0.435255i 0.878964 0.476889i \(-0.158236\pi\)
−0.409870 + 0.912144i \(0.634426\pi\)
\(684\) −6.34390e8 5.05909e8i −1.98238 1.58090i
\(685\) −9.87196e7 + 6.73059e7i −0.307137 + 0.209402i
\(686\) −4.87786e8 + 2.34905e8i −1.51097 + 0.727646i
\(687\) 2.93091e8i 0.903924i
\(688\) 7.34583e8 + 8.87816e8i 2.25567 + 2.72620i
\(689\) 1.69116e7 0.0517043
\(690\) −5.84356e8 1.21343e9i −1.77881 3.69375i
\(691\) −2.24201e8 3.28843e8i −0.679523 0.996677i −0.998798 0.0490153i \(-0.984392\pi\)
0.319275 0.947662i \(-0.396561\pi\)
\(692\) −5.04301e8 + 6.32374e8i −1.52185 + 1.90834i
\(693\) −1.42763e7 + 1.53861e7i −0.0428958 + 0.0462307i
\(694\) 1.79041e8 3.10108e8i 0.535641 0.927758i
\(695\) 8.70980e8 5.02861e8i 2.59450 1.49794i
\(696\) −8.91319e8 2.03438e8i −2.64366 0.603398i
\(697\) 1.37575e7 3.50535e7i 0.0406294 0.103522i
\(698\) −6.39967e8 1.97404e8i −1.88188 0.580482i
\(699\) 4.42855e8 + 5.55322e8i 1.29667 + 1.62597i
\(700\) 2.61652e9 + 1.96081e8i 7.62835 + 0.571666i
\(701\) 2.28811e8 7.05787e7i 0.664235 0.204889i 0.0557381 0.998445i \(-0.482249\pi\)
0.608497 + 0.793556i \(0.291773\pi\)
\(702\) 1.98797e7 + 1.35538e7i 0.0574644 + 0.0391785i
\(703\) −7.97540e7 1.20210e7i −0.229555 0.0345998i
\(704\) 1.67788e7 + 7.35125e7i 0.0480885 + 0.210690i
\(705\) 2.44359e8 2.26732e8i 0.697365 0.647060i
\(706\) 2.50869e8 1.88000e7i 0.712906 0.0534250i
\(707\) 1.46757e8 5.75979e7i 0.415279 0.162985i
\(708\) 1.35082e8 + 8.96213e8i 0.380627 + 2.52529i
\(709\) −6.05786e8 2.91731e8i −1.69973 0.818547i −0.993915 0.110153i \(-0.964866\pi\)
−0.705817 0.708395i \(-0.749420\pi\)
\(710\) −9.34465e8 + 1.94044e9i −2.61089 + 5.42156i
\(711\) −5.93492e8 + 8.94545e7i −1.65122 + 0.248882i
\(712\) −2.76388e8 7.04226e8i −0.765737 1.95107i
\(713\) 8.33621e6 + 1.11239e8i 0.0229985 + 0.306894i
\(714\) −5.29877e8 5.71072e8i −1.45573 1.56890i
\(715\) −9.30683e6 + 2.12422e6i −0.0254615 + 0.00581141i
\(716\) 8.29562e7 5.50378e8i 0.226001 1.49942i
\(717\) 5.48759e8 8.04882e8i 1.48876 2.18361i
\(718\) −1.45766e8 4.72562e8i −0.393806 1.27669i
\(719\) 1.19238e7 1.59112e8i 0.0320795 0.428071i −0.957923 0.287024i \(-0.907334\pi\)
0.990003 0.141047i \(-0.0450469\pi\)
\(720\) 1.71005e9 1.36372e9i 4.58154 3.65365i
\(721\) −1.26527e8 + 4.10190e8i −0.337580 + 1.09441i
\(722\) 1.11333e8 + 4.36949e7i 0.295809 + 0.116097i
\(723\) −1.26409e8 + 5.53833e8i −0.334474 + 1.46543i
\(724\) −2.18693e8 3.78788e8i −0.576261 0.998114i
\(725\) 5.22886e8 + 3.01888e8i 1.37212 + 0.792196i
\(726\) −7.34209e8 6.81246e8i −1.91871 1.78030i
\(727\) 3.21587e8 + 2.56457e8i 0.836942 + 0.667439i 0.945131 0.326692i \(-0.105934\pi\)
−0.108189 + 0.994130i \(0.534505\pi\)
\(728\) 2.37571e8 1.61973e8i 0.615744 0.419807i
\(729\) −2.56010e8 + 1.23288e8i −0.660806 + 0.318227i
\(730\) 2.22598e9i 5.72205i
\(731\) −1.00995e8 + 2.71632e8i −0.258551 + 0.695391i
\(732\) 9.32313e8 2.37700
\(733\) 1.80327e8 + 3.74453e8i 0.457877 + 0.950791i 0.994278 + 0.106828i \(0.0340694\pi\)
−0.536401 + 0.843964i \(0.680216\pi\)
\(734\) 2.17936e8 + 3.19653e8i 0.551112 + 0.808333i
\(735\) −1.31197e8 + 1.64516e8i −0.330416 + 0.414329i
\(736\) 7.92743e8 8.54374e8i 1.98838 2.14296i
\(737\) 1.46208e6 2.53239e6i 0.00365231 0.00632599i
\(738\) −8.75512e7 + 5.05477e7i −0.217818 + 0.125757i
\(739\) −6.49052e8 1.48142e8i −1.60822 0.367066i −0.678290 0.734795i \(-0.737279\pi\)
−0.929933 + 0.367728i \(0.880136\pi\)
\(740\) 1.62223e8 4.13337e8i 0.400328 1.02002i
\(741\) 1.20340e8 + 3.71201e7i 0.295772 + 0.0912335i
\(742\) −1.32507e8 1.66159e8i −0.324361 0.406736i
\(743\) −2.14070e7 1.60424e6i −0.0521904 0.00391113i 0.0486093 0.998818i \(-0.484521\pi\)
−0.100800 + 0.994907i \(0.532140\pi\)
\(744\) −6.53305e8 + 2.01518e8i −1.58634 + 0.489322i
\(745\) −1.07473e9 7.32736e8i −2.59914 1.77206i
\(746\) 1.39262e9 + 2.09904e8i 3.35442 + 0.505598i
\(747\) 5.78888e7 + 2.53628e8i 0.138878 + 0.608464i
\(748\) −4.02471e7 + 3.73439e7i −0.0961679 + 0.0892308i
\(749\) 6.11894e8 4.58551e7i 1.45623 0.109130i
\(750\) −3.11756e9 + 1.22355e9i −7.38978 + 2.90027i
\(751\) −3.64507e7 2.41835e8i −0.0860570 0.570951i −0.989755 0.142779i \(-0.954396\pi\)
0.903698 0.428171i \(-0.140842\pi\)
\(752\) 4.97061e8 + 2.39372e8i 1.16884 + 0.562886i
\(753\) −2.19690e8 + 4.56191e8i −0.514548 + 1.06847i
\(754\) 1.04179e8 1.57025e7i 0.243034 0.0366314i
\(755\) −4.22935e8 1.07762e9i −0.982728 2.50395i
\(756\) −1.64693e7 2.19768e8i −0.0381162 0.508626i
\(757\) 1.54818e8 + 1.66854e8i 0.356890 + 0.384636i 0.885819 0.464030i \(-0.153597\pi\)
−0.528930 + 0.848666i \(0.677407\pi\)
\(758\) 6.36788e8 1.45343e8i 1.46213 0.333722i
\(759\) 4.82757e6 3.20288e7i 0.0110409 0.0732514i
\(760\) −1.64068e9 + 2.40644e9i −3.73753 + 5.48194i
\(761\) 1.55996e8 + 5.05727e8i 0.353965 + 1.14753i 0.941126 + 0.338056i \(0.109769\pi\)
−0.587161 + 0.809470i \(0.699755\pi\)
\(762\) −2.05574e7 + 2.74320e8i −0.0464626 + 0.620001i
\(763\) −2.11157e8 + 1.68392e8i −0.475370 + 0.379095i