Properties

Label 43.6.e.a.11.2
Level 43
Weight 6
Character 43.11
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.31600 - 7.92001i) q^{2} +(-18.2652 + 22.9039i) q^{3} +(-15.7141 + 68.8479i) q^{4} +(-46.4718 + 22.3797i) q^{5} +296.762 q^{6} -129.944 q^{7} +(352.466 - 169.739i) q^{8} +(-136.896 - 599.780i) q^{9} +O(q^{10})\) \(q+(-6.31600 - 7.92001i) q^{2} +(-18.2652 + 22.9039i) q^{3} +(-15.7141 + 68.8479i) q^{4} +(-46.4718 + 22.3797i) q^{5} +296.762 q^{6} -129.944 q^{7} +(352.466 - 169.739i) q^{8} +(-136.896 - 599.780i) q^{9} +(470.763 + 226.708i) q^{10} +(113.614 + 497.773i) q^{11} +(-1289.86 - 1617.44i) q^{12} +(-517.929 + 249.422i) q^{13} +(820.727 + 1029.16i) q^{14} +(336.238 - 1473.15i) q^{15} +(-1534.51 - 738.981i) q^{16} +(-0.150170 - 0.0723181i) q^{17} +(-3885.63 + 4872.43i) q^{18} +(537.324 - 2354.17i) q^{19} +(-810.530 - 3551.16i) q^{20} +(2373.46 - 2976.22i) q^{21} +(3224.79 - 4043.76i) q^{22} +(455.166 + 1994.21i) q^{23} +(-2550.20 + 11173.2i) q^{24} +(-289.624 + 363.176i) q^{25} +(5246.66 + 2526.66i) q^{26} +(9823.98 + 4730.98i) q^{27} +(2041.95 - 8946.39i) q^{28} +(-243.386 - 305.196i) q^{29} +(-13791.1 + 6641.43i) q^{30} +(1158.96 + 1453.29i) q^{31} +(1053.56 + 4615.95i) q^{32} +(-13476.1 - 6489.75i) q^{33} +(0.375714 + 1.64611i) q^{34} +(6038.74 - 2908.11i) q^{35} +43444.8 q^{36} -3844.59 q^{37} +(-22038.8 + 10613.3i) q^{38} +(3747.37 - 16418.3i) q^{39} +(-12581.1 + 15776.1i) q^{40} +(7001.58 + 8779.70i) q^{41} -38562.5 q^{42} +(400.083 - 12118.1i) q^{43} -36056.0 q^{44} +(19784.7 + 24809.2i) q^{45} +(12919.3 - 16200.3i) q^{46} +(-4922.21 + 21565.6i) q^{47} +(44953.7 - 21648.5i) q^{48} +78.4872 q^{49} +4705.63 q^{50} +(4.39925 - 2.11857i) q^{51} +(-9033.37 - 39577.8i) q^{52} +(-10146.8 - 4886.45i) q^{53} +(-24578.8 - 107687. i) q^{54} +(-16419.8 - 20589.8i) q^{55} +(-45800.9 + 22056.6i) q^{56} +(44105.3 + 55306.3i) q^{57} +(-879.933 + 3855.24i) q^{58} +(5918.21 + 2850.06i) q^{59} +(96139.9 + 46298.5i) q^{60} +(17276.5 - 21664.0i) q^{61} +(4190.09 - 18358.0i) q^{62} +(17788.8 + 77938.0i) q^{63} +(-4077.14 + 5112.58i) q^{64} +(18487.2 - 23182.2i) q^{65} +(33716.2 + 147720. i) q^{66} +(5599.40 - 24532.6i) q^{67} +(7.33873 - 9.20248i) q^{68} +(-53988.8 - 25999.6i) q^{69} +(-61172.9 - 29459.3i) q^{70} +(12173.5 - 53335.4i) q^{71} +(-150057. - 188166. i) q^{72} +(-48223.0 + 23222.9i) q^{73} +(24282.4 + 30449.2i) q^{74} +(-3028.10 - 13267.0i) q^{75} +(153636. + 73987.3i) q^{76} +(-14763.4 - 64682.7i) q^{77} +(-153702. + 74018.8i) q^{78} -770.774 q^{79} +87849.6 q^{80} +(-153105. + 73731.3i) q^{81} +(25313.4 - 110905. i) q^{82} +(14800.7 - 18559.5i) q^{83} +(167610. + 210176. i) q^{84} +8.59713 q^{85} +(-98502.4 + 73369.3i) q^{86} +11435.7 q^{87} +(124536. + 156164. i) q^{88} +(-63863.9 + 80082.8i) q^{89} +(71529.2 - 313390. i) q^{90} +(67301.9 - 32410.9i) q^{91} -144450. q^{92} -54454.6 q^{93} +(201889. - 97224.5i) q^{94} +(27715.1 + 121428. i) q^{95} +(-124967. - 60180.7i) q^{96} +(3893.62 + 17059.1i) q^{97} +(-495.725 - 621.619i) q^{98} +(283001. - 136286. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.31600 7.92001i −1.11652 1.40007i −0.906411 0.422396i \(-0.861189\pi\)
−0.210110 0.977678i \(-0.567382\pi\)
\(3\) −18.2652 + 22.9039i −1.17171 + 1.46928i −0.318346 + 0.947975i \(0.603127\pi\)
−0.853368 + 0.521309i \(0.825444\pi\)
\(4\) −15.7141 + 68.8479i −0.491065 + 2.15150i
\(5\) −46.4718 + 22.3797i −0.831313 + 0.400339i −0.800608 0.599189i \(-0.795490\pi\)
−0.0307058 + 0.999528i \(0.509775\pi\)
\(6\) 296.762 3.36535
\(7\) −129.944 −1.00233 −0.501166 0.865351i \(-0.667095\pi\)
−0.501166 + 0.865351i \(0.667095\pi\)
\(8\) 352.466 169.739i 1.94712 0.937683i
\(9\) −136.896 599.780i −0.563358 2.46823i
\(10\) 470.763 + 226.708i 1.48868 + 0.716912i
\(11\) 113.614 + 497.773i 0.283106 + 1.24037i 0.893788 + 0.448490i \(0.148038\pi\)
−0.610682 + 0.791876i \(0.709105\pi\)
\(12\) −1289.86 1617.44i −2.58577 3.24245i
\(13\) −517.929 + 249.422i −0.849987 + 0.409332i −0.807573 0.589768i \(-0.799219\pi\)
−0.0424140 + 0.999100i \(0.513505\pi\)
\(14\) 820.727 + 1029.16i 1.11913 + 1.40334i
\(15\) 336.238 1473.15i 0.385850 1.69052i
\(16\) −1534.51 738.981i −1.49854 0.721661i
\(17\) −0.150170 0.0723181i −0.000126026 6.06910e-5i 0.433821 0.900999i \(-0.357165\pi\)
−0.433947 + 0.900939i \(0.642879\pi\)
\(18\) −3885.63 + 4872.43i −2.82671 + 3.54458i
\(19\) 537.324 2354.17i 0.341470 1.49608i −0.454503 0.890745i \(-0.650183\pi\)
0.795973 0.605332i \(-0.206960\pi\)
\(20\) −810.530 3551.16i −0.453100 1.98516i
\(21\) 2373.46 2976.22i 1.17445 1.47271i
\(22\) 3224.79 4043.76i 1.42051 1.78126i
\(23\) 455.166 + 1994.21i 0.179411 + 0.786052i 0.981902 + 0.189388i \(0.0606504\pi\)
−0.802491 + 0.596664i \(0.796492\pi\)
\(24\) −2550.20 + 11173.2i −0.903745 + 3.95957i
\(25\) −289.624 + 363.176i −0.0926795 + 0.116216i
\(26\) 5246.66 + 2526.66i 1.52212 + 0.733016i
\(27\) 9823.98 + 4730.98i 2.59345 + 1.24894i
\(28\) 2041.95 8946.39i 0.492211 2.15652i
\(29\) −243.386 305.196i −0.0537403 0.0673883i 0.754235 0.656605i \(-0.228008\pi\)
−0.807975 + 0.589216i \(0.799437\pi\)
\(30\) −13791.1 + 6641.43i −2.79766 + 1.34728i
\(31\) 1158.96 + 1453.29i 0.216603 + 0.271612i 0.878248 0.478206i \(-0.158713\pi\)
−0.661645 + 0.749817i \(0.730141\pi\)
\(32\) 1053.56 + 4615.95i 0.181880 + 0.796867i
\(33\) −13476.1 6489.75i −2.15417 1.03739i
\(34\) 0.375714 + 1.64611i 5.57391e−5 + 0.000244209i
\(35\) 6038.74 2908.11i 0.833252 0.401273i
\(36\) 43444.8 5.58704
\(37\) −3844.59 −0.461685 −0.230843 0.972991i \(-0.574148\pi\)
−0.230843 + 0.972991i \(0.574148\pi\)
\(38\) −22038.8 + 10613.3i −2.47588 + 1.19232i
\(39\) 3747.37 16418.3i 0.394517 1.72849i
\(40\) −12581.1 + 15776.1i −1.24327 + 1.55902i
\(41\) 7001.58 + 8779.70i 0.650484 + 0.815681i 0.992270 0.124097i \(-0.0396034\pi\)
−0.341786 + 0.939778i \(0.611032\pi\)
\(42\) −38562.5 −3.37320
\(43\) 400.083 12118.1i 0.0329973 0.999455i
\(44\) −36056.0 −2.80767
\(45\) 19784.7 + 24809.2i 1.45646 + 1.82634i
\(46\) 12919.3 16200.3i 0.900214 1.12883i
\(47\) −4922.21 + 21565.6i −0.325024 + 1.42402i 0.503463 + 0.864017i \(0.332059\pi\)
−0.828487 + 0.560008i \(0.810798\pi\)
\(48\) 44953.7 21648.5i 2.81619 1.35621i
\(49\) 78.4872 0.00466991
\(50\) 4705.63 0.266190
\(51\) 4.39925 2.11857i 0.000236839 0.000114056i
\(52\) −9033.37 39577.8i −0.463278 2.02975i
\(53\) −10146.8 4886.45i −0.496181 0.238948i 0.169020 0.985613i \(-0.445940\pi\)
−0.665201 + 0.746664i \(0.731654\pi\)
\(54\) −24578.8 107687.i −1.14704 5.02549i
\(55\) −16419.8 20589.8i −0.731917 0.917795i
\(56\) −45800.9 + 22056.6i −1.95166 + 0.939870i
\(57\) 44105.3 + 55306.3i 1.79806 + 2.25469i
\(58\) −879.933 + 3855.24i −0.0343463 + 0.150481i
\(59\) 5918.21 + 2850.06i 0.221340 + 0.106592i 0.541268 0.840850i \(-0.317944\pi\)
−0.319928 + 0.947442i \(0.603659\pi\)
\(60\) 96139.9 + 46298.5i 3.44767 + 1.66031i
\(61\) 17276.5 21664.0i 0.594471 0.745443i −0.390034 0.920800i \(-0.627537\pi\)
0.984505 + 0.175358i \(0.0561082\pi\)
\(62\) 4190.09 18358.0i 0.138434 0.606520i
\(63\) 17788.8 + 77938.0i 0.564672 + 2.47399i
\(64\) −4077.14 + 5112.58i −0.124425 + 0.156023i
\(65\) 18487.2 23182.2i 0.542734 0.680566i
\(66\) 33716.2 + 147720.i 0.952749 + 4.17427i
\(67\) 5599.40 24532.6i 0.152389 0.667662i −0.839797 0.542900i \(-0.817326\pi\)
0.992187 0.124762i \(-0.0398166\pi\)
\(68\) 7.33873 9.20248i 0.000192464 0.000241342i
\(69\) −53988.8 25999.6i −1.36515 0.657423i
\(70\) −61172.9 29459.3i −1.49216 0.718584i
\(71\) 12173.5 53335.4i 0.286595 1.25565i −0.602570 0.798066i \(-0.705857\pi\)
0.889165 0.457587i \(-0.151286\pi\)
\(72\) −150057. 188166.i −3.41135 4.27769i
\(73\) −48223.0 + 23222.9i −1.05912 + 0.510047i −0.880586 0.473886i \(-0.842851\pi\)
−0.178537 + 0.983933i \(0.557137\pi\)
\(74\) 24282.4 + 30449.2i 0.515482 + 0.646393i
\(75\) −3028.10 13267.0i −0.0621610 0.272345i
\(76\) 153636. + 73987.3i 3.05112 + 1.46934i
\(77\) −14763.4 64682.7i −0.283766 1.24326i
\(78\) −153702. + 74018.8i −2.86050 + 1.37755i
\(79\) −770.774 −0.0138950 −0.00694751 0.999976i \(-0.502211\pi\)
−0.00694751 + 0.999976i \(0.502211\pi\)
\(80\) 87849.6 1.53467
\(81\) −153105. + 73731.3i −2.59284 + 1.24865i
\(82\) 25313.4 110905.i 0.415734 1.82145i
\(83\) 14800.7 18559.5i 0.235824 0.295714i −0.649811 0.760096i \(-0.725152\pi\)
0.885635 + 0.464382i \(0.153723\pi\)
\(84\) 167610. + 210176.i 2.59180 + 3.25002i
\(85\) 8.59713 0.000129064
\(86\) −98502.4 + 73369.3i −1.43615 + 1.06971i
\(87\) 11435.7 0.161981
\(88\) 124536. + 156164.i 1.71431 + 2.14968i
\(89\) −63863.9 + 80082.8i −0.854635 + 1.07168i 0.142013 + 0.989865i \(0.454643\pi\)
−0.996648 + 0.0818134i \(0.973929\pi\)
\(90\) 71529.2 313390.i 0.930844 4.07830i
\(91\) 67301.9 32410.9i 0.851969 0.410287i
\(92\) −144450. −1.77929
\(93\) −54454.6 −0.652871
\(94\) 201889. 97224.5i 2.35664 1.13490i
\(95\) 27715.1 + 121428.i 0.315070 + 1.38041i
\(96\) −124967. 60180.7i −1.38393 0.666468i
\(97\) 3893.62 + 17059.1i 0.0420169 + 0.184088i 0.991582 0.129483i \(-0.0413317\pi\)
−0.949565 + 0.313571i \(0.898475\pi\)
\(98\) −495.725 621.619i −0.00521405 0.00653822i
\(99\) 283001. 136286.i 2.90202 1.39754i
\(100\) −20452.8 25647.0i −0.204528 0.256470i
\(101\) 37587.5 164681.i 0.366640 1.60635i −0.369302 0.929309i \(-0.620403\pi\)
0.735942 0.677045i \(-0.236740\pi\)
\(102\) −44.5647 21.4613i −0.000424122 0.000204246i
\(103\) 33132.8 + 15955.9i 0.307727 + 0.148193i 0.581373 0.813637i \(-0.302516\pi\)
−0.273647 + 0.961830i \(0.588230\pi\)
\(104\) −140216. + 175825.i −1.27120 + 1.59404i
\(105\) −43692.1 + 191428.i −0.386750 + 1.69446i
\(106\) 25386.6 + 111226.i 0.219452 + 0.961481i
\(107\) 71591.1 89772.4i 0.604505 0.758025i −0.381568 0.924341i \(-0.624616\pi\)
0.986073 + 0.166316i \(0.0531871\pi\)
\(108\) −480093. + 602017.i −3.96064 + 4.96649i
\(109\) −25281.0 110763.i −0.203811 0.892954i −0.968590 0.248662i \(-0.920009\pi\)
0.764779 0.644292i \(-0.222848\pi\)
\(110\) −59363.9 + 260090.i −0.467779 + 2.04948i
\(111\) 70222.3 88056.0i 0.540963 0.678346i
\(112\) 199401. + 96026.2i 1.50204 + 0.723344i
\(113\) −25699.4 12376.2i −0.189333 0.0911780i 0.336816 0.941571i \(-0.390650\pi\)
−0.526149 + 0.850393i \(0.676364\pi\)
\(114\) 159457. 698629.i 1.14917 5.03482i
\(115\) −65782.1 82488.2i −0.463835 0.581630i
\(116\) 24836.7 11960.7i 0.171376 0.0825302i
\(117\) 220501. + 276499.i 1.48917 + 1.86736i
\(118\) −14806.9 64873.3i −0.0978948 0.428905i
\(119\) 19.5137 + 9.39731i 0.000126320 + 6.08326e-5i
\(120\) −131539. 576309.i −0.833875 3.65345i
\(121\) −89768.4 + 43230.2i −0.557391 + 0.268425i
\(122\) −280697. −1.70741
\(123\) −328974. −1.96065
\(124\) −118268. + 56954.9i −0.690738 + 0.332642i
\(125\) 41199.1 180505.i 0.235837 1.03327i
\(126\) 504915. 633144.i 2.83330 3.55284i
\(127\) −138571. 173762.i −0.762364 0.955974i 0.237517 0.971383i \(-0.423666\pi\)
−0.999881 + 0.0154091i \(0.995095\pi\)
\(128\) 217752. 1.17473
\(129\) 270244. + 230503.i 1.42982 + 1.21956i
\(130\) −300368. −1.55882
\(131\) 119357. + 149669.i 0.607671 + 0.761995i 0.986552 0.163450i \(-0.0522623\pi\)
−0.378881 + 0.925446i \(0.623691\pi\)
\(132\) 658571. 825821.i 3.28978 4.12526i
\(133\) −69822.2 + 305911.i −0.342266 + 1.49957i
\(134\) −229664. + 110601.i −1.10492 + 0.532102i
\(135\) −562416. −2.65597
\(136\) −65.2050 −0.000302297
\(137\) 75347.2 36285.3i 0.342978 0.165169i −0.254463 0.967083i \(-0.581899\pi\)
0.597441 + 0.801913i \(0.296184\pi\)
\(138\) 135076. + 591806.i 0.603782 + 2.64534i
\(139\) 183818. + 88521.9i 0.806956 + 0.388610i 0.791422 0.611270i \(-0.209341\pi\)
0.0155340 + 0.999879i \(0.495055\pi\)
\(140\) 105324. + 461453.i 0.454157 + 1.98979i
\(141\) −404031. 506639.i −1.71146 2.14610i
\(142\) −499305. + 240452.i −2.07800 + 1.00071i
\(143\) −182999. 229474.i −0.748357 0.938411i
\(144\) −233158. + 1.02153e6i −0.937010 + 4.10531i
\(145\) 18140.8 + 8736.14i 0.0716532 + 0.0345064i
\(146\) 488502. + 235250.i 1.89664 + 0.913373i
\(147\) −1433.59 + 1797.66i −0.00547180 + 0.00686142i
\(148\) 60414.3 264692.i 0.226718 0.993315i
\(149\) 54641.4 + 239399.i 0.201630 + 0.883400i 0.969944 + 0.243327i \(0.0782388\pi\)
−0.768314 + 0.640073i \(0.778904\pi\)
\(150\) −85949.3 + 107777.i −0.311899 + 0.391109i
\(151\) 18176.1 22792.1i 0.0648721 0.0813470i −0.748337 0.663319i \(-0.769147\pi\)
0.813209 + 0.581972i \(0.197719\pi\)
\(152\) −210206. 920971.i −0.737964 3.23323i
\(153\) −22.8173 + 99.9691i −7.88017e−5 + 0.000345253i
\(154\) −419042. + 525463.i −1.42382 + 1.78542i
\(155\) −86383.2 41599.9i −0.288802 0.139080i
\(156\) 1.07148e6 + 515998.i 3.52511 + 1.69760i
\(157\) −103399. + 453021.i −0.334786 + 1.46679i 0.474957 + 0.880009i \(0.342464\pi\)
−0.809743 + 0.586785i \(0.800393\pi\)
\(158\) 4868.21 + 6104.54i 0.0155141 + 0.0194541i
\(159\) 297253. 143149.i 0.932465 0.449052i
\(160\) −152264. 190933.i −0.470216 0.589633i
\(161\) −59146.1 259136.i −0.179830 0.787885i
\(162\) 1.55096e6 + 746904.i 4.64316 + 2.23603i
\(163\) −66722.9 292332.i −0.196701 0.861803i −0.972884 0.231295i \(-0.925704\pi\)
0.776183 0.630508i \(-0.217153\pi\)
\(164\) −714488. + 344079.i −2.07436 + 0.998962i
\(165\) 771498. 2.20610
\(166\) −240473. −0.677323
\(167\) −3200.08 + 1541.08i −0.00887912 + 0.00427596i −0.438318 0.898820i \(-0.644426\pi\)
0.429439 + 0.903096i \(0.358711\pi\)
\(168\) 331384. 1.45189e6i 0.905853 3.96880i
\(169\) −25457.8 + 31923.1i −0.0685652 + 0.0859781i
\(170\) −54.2995 68.0894i −0.000144103 0.000180700i
\(171\) −1.48554e6 −3.88504
\(172\) 828019. + 217970.i 2.13412 + 0.561792i
\(173\) 393500. 0.999607 0.499804 0.866139i \(-0.333406\pi\)
0.499804 + 0.866139i \(0.333406\pi\)
\(174\) −72227.7 90570.7i −0.180855 0.226785i
\(175\) 37634.9 47192.7i 0.0928957 0.116488i
\(176\) 193504. 847796.i 0.470878 2.06305i
\(177\) −173375. + 83492.9i −0.415961 + 0.200316i
\(178\) 1.03762e6 2.45465
\(179\) 182097. 0.424787 0.212393 0.977184i \(-0.431874\pi\)
0.212393 + 0.977184i \(0.431874\pi\)
\(180\) −2.01896e6 + 972280.i −4.64458 + 2.23671i
\(181\) 20586.7 + 90196.1i 0.0467078 + 0.204640i 0.992898 0.118972i \(-0.0379598\pi\)
−0.946190 + 0.323612i \(0.895103\pi\)
\(182\) −681773. 328325.i −1.52567 0.734726i
\(183\) 180631. + 791396.i 0.398717 + 1.74689i
\(184\) 498925. + 625633.i 1.08640 + 1.36231i
\(185\) 178665. 86040.7i 0.383805 0.184831i
\(186\) 343935. + 431281.i 0.728945 + 0.914068i
\(187\) 18.9367 82.9669i 3.96004e−5 0.000173501i
\(188\) −1.40740e6 677768.i −2.90418 1.39858i
\(189\) −1.27657e6 614763.i −2.59950 1.25185i
\(190\) 786661. 986442.i 1.58090 1.98238i
\(191\) −49810.6 + 218235.i −0.0987958 + 0.432853i −1.00000 0.000542383i \(-0.999827\pi\)
0.901204 + 0.433395i \(0.142684\pi\)
\(192\) −42627.8 186765.i −0.0834526 0.365630i
\(193\) 479776. 601620.i 0.927140 1.16260i −0.0592613 0.998243i \(-0.518875\pi\)
0.986401 0.164354i \(-0.0525541\pi\)
\(194\) 110516. 138583.i 0.210824 0.264365i
\(195\) 193289. + 846854.i 0.364016 + 1.59486i
\(196\) −1233.35 + 5403.68i −0.00229323 + 0.0100473i
\(197\) −410568. + 514836.i −0.753736 + 0.945155i −0.999709 0.0241215i \(-0.992321\pi\)
0.245973 + 0.969277i \(0.420893\pi\)
\(198\) −2.86683e6 1.38059e6i −5.19683 2.50266i
\(199\) −126178. 60764.2i −0.225866 0.108772i 0.317528 0.948249i \(-0.397147\pi\)
−0.543395 + 0.839477i \(0.682861\pi\)
\(200\) −40437.4 + 177168.i −0.0714839 + 0.313191i
\(201\) 459617. + 576341.i 0.802427 + 1.00621i
\(202\) −1.54168e6 + 742435.i −2.65838 + 1.28021i
\(203\) 31626.6 + 39658.5i 0.0538657 + 0.0675454i
\(204\) 76.7287 + 336.171i 0.000129087 + 0.000565567i
\(205\) −521863. 251316.i −0.867305 0.417672i
\(206\) −82895.7 363190.i −0.136102 0.596301i
\(207\) 1.13378e6 545999.i 1.83909 0.885657i
\(208\) 979085. 1.56914
\(209\) 1.23289e6 1.95236
\(210\) 1.79207e6 863015.i 2.80418 1.35042i
\(211\) −13002.0 + 56965.3i −0.0201049 + 0.0880855i −0.983985 0.178251i \(-0.942956\pi\)
0.963880 + 0.266336i \(0.0858132\pi\)
\(212\) 495870. 621801.i 0.757754 0.950194i
\(213\) 999236. + 1.25300e6i 1.50910 + 1.89236i
\(214\) −1.16317e6 −1.73623
\(215\) 252606. + 572104.i 0.372690 + 0.844071i
\(216\) 4.26565e6 6.22087
\(217\) −150600. 188847.i −0.217108 0.272245i
\(218\) −717571. + 899806.i −1.02264 + 1.28235i
\(219\) 348908. 1.52866e6i 0.491587 2.15378i
\(220\) 1.67559e6 806921.i 2.33405 1.12402i
\(221\) 95.8151 0.000131963
\(222\) −1.14093e6 −1.55373
\(223\) −762115. + 367015.i −1.02626 + 0.494222i −0.869770 0.493457i \(-0.835733\pi\)
−0.156493 + 0.987679i \(0.550019\pi\)
\(224\) −136904. 599816.i −0.182304 0.798726i
\(225\) 257474. + 123993.i 0.339061 + 0.163283i
\(226\) 64297.8 + 281707.i 0.0837385 + 0.366882i
\(227\) −460530. 577486.i −0.593189 0.743836i 0.391110 0.920344i \(-0.372091\pi\)
−0.984299 + 0.176508i \(0.943520\pi\)
\(228\) −4.50079e6 + 2.16747e6i −5.73393 + 2.76131i
\(229\) −361162. 452882.i −0.455106 0.570685i 0.500348 0.865824i \(-0.333205\pi\)
−0.955454 + 0.295139i \(0.904634\pi\)
\(230\) −237828. + 1.04199e6i −0.296444 + 1.29881i
\(231\) 1.75114e6 + 843305.i 2.15919 + 1.03981i
\(232\) −137589. 66259.4i −0.167828 0.0808216i
\(233\) −227393. + 285142.i −0.274402 + 0.344090i −0.899868 0.436162i \(-0.856337\pi\)
0.625466 + 0.780251i \(0.284909\pi\)
\(234\) 797194. 3.49274e6i 0.951753 4.16990i
\(235\) −253887. 1.11235e6i −0.299896 1.31393i
\(236\) −289220. + 362671.i −0.338025 + 0.423870i
\(237\) 14078.4 17653.7i 0.0162810 0.0204157i
\(238\) −48.8218 213.902i −5.58691e−5 0.000244778i
\(239\) 181855. 796760.i 0.205936 0.902262i −0.761304 0.648396i \(-0.775440\pi\)
0.967239 0.253867i \(-0.0817025\pi\)
\(240\) −1.60459e6 + 2.01209e6i −1.79819 + 2.25486i
\(241\) −797881. 384239.i −0.884903 0.426147i −0.0644898 0.997918i \(-0.520542\pi\)
−0.820413 + 0.571772i \(0.806256\pi\)
\(242\) 909360. + 437925.i 0.998154 + 0.480686i
\(243\) 518161. 2.27021e6i 0.562924 2.46633i
\(244\) 1.22004e6 + 1.52988e6i 1.31189 + 1.64506i
\(245\) −3647.44 + 1756.52i −0.00388216 + 0.00186955i
\(246\) 2.07780e6 + 2.60548e6i 2.18910 + 2.74505i
\(247\) 308885. + 1.35331e6i 0.322148 + 1.41142i
\(248\) 655174. + 315515.i 0.676438 + 0.325755i
\(249\) 154746. + 677987.i 0.158169 + 0.692984i
\(250\) −1.68981e6 + 813772.i −1.70997 + 0.823479i
\(251\) 1.57524e6 1.57820 0.789098 0.614267i \(-0.210548\pi\)
0.789098 + 0.614267i \(0.210548\pi\)
\(252\) −5.64540e6 −5.60007
\(253\) −940952. + 453139.i −0.924200 + 0.445071i
\(254\) −500986. + 2.19497e6i −0.487239 + 2.13473i
\(255\) −157.028 + 196.907i −0.000151226 + 0.000189632i
\(256\) −1.24485e6 1.56100e6i −1.18718 1.48868i
\(257\) 1.58082e6 1.49297 0.746483 0.665405i \(-0.231741\pi\)
0.746483 + 0.665405i \(0.231741\pi\)
\(258\) 118729. 3.59619e6i 0.111048 3.36352i
\(259\) 499582. 0.462762
\(260\) 1.30553e6 + 1.63709e6i 1.19772 + 1.50189i
\(261\) −149732. + 187758.i −0.136055 + 0.170607i
\(262\) 431520. 1.89061e6i 0.388372 1.70157i
\(263\) −1.93095e6 + 929898.i −1.72140 + 0.828984i −0.732437 + 0.680834i \(0.761617\pi\)
−0.988965 + 0.148149i \(0.952668\pi\)
\(264\) −5.85144e6 −5.16717
\(265\) 580899. 0.508143
\(266\) 2.86381e6 1.37914e6i 2.48165 1.19510i
\(267\) −667717. 2.92546e6i −0.573211 2.51140i
\(268\) 1.60103e6 + 771015.i 1.36164 + 0.655731i
\(269\) 485326. + 2.12635e6i 0.408934 + 1.79166i 0.589144 + 0.808028i \(0.299465\pi\)
−0.180210 + 0.983628i \(0.557678\pi\)
\(270\) 3.55222e6 + 4.45434e6i 2.96545 + 3.71855i
\(271\) 279139. 134426.i 0.230886 0.111189i −0.314864 0.949137i \(-0.601959\pi\)
0.545750 + 0.837948i \(0.316245\pi\)
\(272\) 176.996 + 221.945i 0.000145058 + 0.000181896i
\(273\) −486949. + 2.13346e6i −0.395437 + 1.73252i
\(274\) −763273. 367573.i −0.614191 0.295779i
\(275\) −213685. 102905.i −0.170389 0.0820551i
\(276\) 2.63841e6 3.30846e6i 2.08482 2.61428i
\(277\) 402520. 1.76355e6i 0.315201 1.38099i −0.530661 0.847584i \(-0.678056\pi\)
0.845862 0.533402i \(-0.179087\pi\)
\(278\) −459897. 2.01494e6i −0.356902 1.56369i
\(279\) 712998. 894071.i 0.548375 0.687641i
\(280\) 1.63483e6 2.05002e6i 1.24617 1.56265i
\(281\) −410896. 1.80025e6i −0.310432 1.36009i −0.853803 0.520597i \(-0.825709\pi\)
0.543371 0.839493i \(-0.317148\pi\)
\(282\) −1.46073e6 + 6.39986e6i −1.09382 + 4.79234i
\(283\) 822256. 1.03108e6i 0.610296 0.765287i −0.376647 0.926357i \(-0.622923\pi\)
0.986943 + 0.161070i \(0.0514944\pi\)
\(284\) 3.48074e6 + 1.67623e6i 2.56080 + 1.23322i
\(285\) −3.28739e6 1.58312e6i −2.39739 1.15452i
\(286\) −661612. + 2.89871e6i −0.478287 + 2.09551i
\(287\) −909815. 1.14087e6i −0.652001 0.817583i
\(288\) 2.62433e6 1.26381e6i 1.86439 0.897843i
\(289\) −885266. 1.11009e6i −0.623490 0.781831i
\(290\) −45386.8 198853.i −0.0316909 0.138847i
\(291\) −461836. 222409.i −0.319710 0.153964i
\(292\) −841072. 3.68498e6i −0.577266 2.52917i
\(293\) −695494. + 334932.i −0.473287 + 0.227923i −0.655293 0.755374i \(-0.727455\pi\)
0.182007 + 0.983297i \(0.441741\pi\)
\(294\) 23292.0 0.0157159
\(295\) −338814. −0.226676
\(296\) −1.35509e6 + 652577.i −0.898956 + 0.432915i
\(297\) −1.23882e6 + 5.42762e6i −0.814923 + 3.57041i
\(298\) 1.55093e6 1.94481e6i 1.01170 1.26863i
\(299\) −733143. 919332.i −0.474253 0.594695i
\(300\) 960989. 0.616475
\(301\) −51988.5 + 1.57468e6i −0.0330743 + 1.00179i
\(302\) −295314. −0.186323
\(303\) 3.08530e6 + 3.86884e6i 1.93059 + 2.42089i
\(304\) −2.56422e6 + 3.21543e6i −1.59137 + 1.99551i
\(305\) −318036. + 1.39341e6i −0.195761 + 0.857687i
\(306\) 935.870 450.691i 0.000571363 0.000275154i
\(307\) 2.95271e6 1.78803 0.894015 0.448037i \(-0.147877\pi\)
0.894015 + 0.448037i \(0.147877\pi\)
\(308\) 4.68527e6 2.81422
\(309\) −970630. + 467431.i −0.578306 + 0.278497i
\(310\) 216124. + 946901.i 0.127732 + 0.559629i
\(311\) −835583. 402395.i −0.489879 0.235913i 0.172603 0.984992i \(-0.444782\pi\)
−0.662481 + 0.749078i \(0.730497\pi\)
\(312\) −1.46600e6 6.42298e6i −0.852606 3.73551i
\(313\) −749612. 939984.i −0.432490 0.542325i 0.517057 0.855951i \(-0.327028\pi\)
−0.949547 + 0.313626i \(0.898456\pi\)
\(314\) 4.24100e6 2.04236e6i 2.42742 1.16898i
\(315\) −2.57090e6 3.22381e6i −1.45985 1.83060i
\(316\) 12112.0 53066.2i 0.00682337 0.0298951i
\(317\) −793774. 382261.i −0.443658 0.213655i 0.198698 0.980061i \(-0.436329\pi\)
−0.642356 + 0.766406i \(0.722043\pi\)
\(318\) −3.01119e6 1.45011e6i −1.66982 0.804145i
\(319\) 124267. 155825.i 0.0683719 0.0857357i
\(320\) 75054.6 328836.i 0.0409735 0.179516i
\(321\) 748508. + 3.27943e6i 0.405447 + 1.77638i
\(322\) −1.67879e6 + 2.10514e6i −0.902314 + 1.13147i
\(323\) −250.939 + 314.668i −0.000133833 + 0.000167821i
\(324\) −2.67035e6 1.16996e7i −1.41320 6.19165i
\(325\) 59420.5 260338.i 0.0312053 0.136719i
\(326\) −1.89385e6 + 2.37482e6i −0.986967 + 1.23762i
\(327\) 2.99867e6 + 1.44408e6i 1.55081 + 0.746831i
\(328\) 3.95808e6 + 1.90611e6i 2.03142 + 0.978280i
\(329\) 639613. 2.80233e6i 0.325782 1.42735i
\(330\) −4.87278e6 6.11027e6i −2.46316 3.08870i
\(331\) −1.80885e6 + 871096.i −0.907471 + 0.437015i −0.828581 0.559869i \(-0.810852\pi\)
−0.0788893 + 0.996883i \(0.525137\pi\)
\(332\) 1.04520e6 + 1.31064e6i 0.520422 + 0.652589i
\(333\) 526309. + 2.30591e6i 0.260094 + 1.13955i
\(334\) 32417.1 + 15611.2i 0.0159004 + 0.00765722i
\(335\) 288816. + 1.26539e6i 0.140608 + 0.616044i
\(336\) −5.84147e6 + 2.81310e6i −2.82276 + 1.35937i
\(337\) −3.49202e6 −1.67495 −0.837474 0.546477i \(-0.815969\pi\)
−0.837474 + 0.546477i \(0.815969\pi\)
\(338\) 413622. 0.196930
\(339\) 752866. 362561.i 0.355810 0.171349i
\(340\) −135.096 + 591.894i −6.33790e−5 + 0.000277681i
\(341\) −591736. + 742013.i −0.275576 + 0.345562i
\(342\) 9.38269e6 + 1.17655e7i 4.33773 + 5.43934i
\(343\) 2.17377e6 0.997651
\(344\) −1.91590e6 4.33913e6i −0.872923 1.97700i
\(345\) 3.09082e6 1.39806
\(346\) −2.48535e6 3.11652e6i −1.11608 1.39952i
\(347\) 90739.5 113784.i 0.0404551 0.0507290i −0.761192 0.648526i \(-0.775386\pi\)
0.801647 + 0.597797i \(0.203957\pi\)
\(348\) −179701. + 787322.i −0.0795431 + 0.348501i
\(349\) −2.28198e6 + 1.09895e6i −1.00288 + 0.482962i −0.861915 0.507053i \(-0.830735\pi\)
−0.140965 + 0.990015i \(0.545021\pi\)
\(350\) −611469. −0.266811
\(351\) −6.26813e6 −2.71563
\(352\) −2.17800e6 + 1.04887e6i −0.936916 + 0.451195i
\(353\) −773899. 3.39068e6i −0.330558 1.44827i −0.818053 0.575144i \(-0.804946\pi\)
0.487494 0.873126i \(-0.337911\pi\)
\(354\) 1.75630e6 + 845790.i 0.744887 + 0.358719i
\(355\) 627905. + 2.75103e6i 0.264437 + 1.15858i
\(356\) −4.50997e6 5.65533e6i −1.88603 2.36501i
\(357\) −571.657 + 275.295i −0.000237391 + 0.000114322i
\(358\) −1.15013e6 1.44221e6i −0.474284 0.594733i
\(359\) −768281. + 3.36606e6i −0.314618 + 1.37843i 0.532231 + 0.846599i \(0.321354\pi\)
−0.846849 + 0.531833i \(0.821503\pi\)
\(360\) 1.11845e7 + 5.38618e6i 4.54843 + 2.19041i
\(361\) −3.02252e6 1.45557e6i −1.22068 0.587847i
\(362\) 584329. 732725.i 0.234361 0.293880i
\(363\) 649501. 2.84565e6i 0.258710 1.13348i
\(364\) 1.17383e6 + 5.14290e6i 0.464358 + 2.03449i
\(365\) 1.72129e6 2.15843e6i 0.676272 0.848018i
\(366\) 5.12700e6 6.42906e6i 2.00060 2.50868i
\(367\) 628810. + 2.75499e6i 0.243699 + 1.06772i 0.937619 + 0.347664i \(0.113025\pi\)
−0.693920 + 0.720052i \(0.744118\pi\)
\(368\) 775227. 3.39649e6i 0.298407 1.30741i
\(369\) 4.30741e6 5.40132e6i 1.64683 2.06507i
\(370\) −1.80989e6 871599.i −0.687304 0.330988i
\(371\) 1.31852e6 + 634966.i 0.497339 + 0.239506i
\(372\) 855705. 3.74909e6i 0.320602 1.40465i
\(373\) −790515. 991275.i −0.294197 0.368911i 0.612662 0.790345i \(-0.290099\pi\)
−0.906859 + 0.421433i \(0.861527\pi\)
\(374\) −776.703 + 374.041i −0.000287128 + 0.000138274i
\(375\) 3.38175e6 + 4.24058e6i 1.24183 + 1.55721i
\(376\) 1.92561e6 + 8.43665e6i 0.702423 + 3.07752i
\(377\) 202179. + 97364.4i 0.0732627 + 0.0352815i
\(378\) 3.19388e6 + 1.39933e7i 1.14971 + 5.03721i
\(379\) −1.06008e6 + 510508.i −0.379089 + 0.182560i −0.613718 0.789525i \(-0.710327\pi\)
0.234629 + 0.972085i \(0.424612\pi\)
\(380\) −8.79557e6 −3.12468
\(381\) 6.51085e6 2.29787
\(382\) 2.04302e6 983869.i 0.716333 0.344968i
\(383\) 757315. 3.31801e6i 0.263803 1.15580i −0.653285 0.757112i \(-0.726610\pi\)
0.917088 0.398685i \(-0.130533\pi\)
\(384\) −3.97729e6 + 4.98736e6i −1.37644 + 1.72601i
\(385\) 2.13366e6 + 2.67553e6i 0.733624 + 0.919935i
\(386\) −7.79511e6 −2.66289
\(387\) −7.32297e6 + 1.41896e6i −2.48548 + 0.481606i
\(388\) −1.23567e6 −0.416698
\(389\) −1.52683e6 1.91458e6i −0.511583 0.641505i 0.457215 0.889356i \(-0.348847\pi\)
−0.968798 + 0.247851i \(0.920276\pi\)
\(390\) 5.48628e6 6.87958e6i 1.82649 2.29034i
\(391\) 75.8652 332.387i 2.50958e−5 0.000109952i
\(392\) 27664.1 13322.3i 0.00909287 0.00437890i
\(393\) −5.60806e6 −1.83160
\(394\) 6.67065e6 2.16485
\(395\) 35819.3 17249.7i 0.0115511 0.00556273i
\(396\) 4.93592e6 + 2.16257e7i 1.58172 + 6.92998i
\(397\) −7451.02 3588.22i −0.00237268 0.00114262i 0.432697 0.901539i \(-0.357562\pi\)
−0.435070 + 0.900397i \(0.643276\pi\)
\(398\) 315688. + 1.38312e6i 0.0998966 + 0.437676i
\(399\) −5.73122e6 7.18673e6i −1.80225 2.25995i
\(400\) 712811. 343271.i 0.222753 0.107272i
\(401\) −404087. 506709.i −0.125491 0.157361i 0.715117 0.699005i \(-0.246374\pi\)
−0.840608 + 0.541644i \(0.817802\pi\)
\(402\) 1.66169e6 7.28034e6i 0.512844 2.24691i
\(403\) −962742. 463632.i −0.295289 0.142204i
\(404\) 1.07473e7 + 5.17564e6i 3.27602 + 1.57765i
\(405\) 5.46497e6 6.85286e6i 1.65558 2.07603i
\(406\) 114342. 500966.i 0.0344264 0.150832i
\(407\) −436798. 1.91374e6i −0.130706 0.572659i
\(408\) 1190.98 1493.45i 0.000354206 0.000444160i
\(409\) −1.86097e6 + 2.33358e6i −0.550087 + 0.689787i −0.976691 0.214652i \(-0.931138\pi\)
0.426604 + 0.904438i \(0.359710\pi\)
\(410\) 1.30566e6 + 5.72047e6i 0.383593 + 1.68063i
\(411\) −545160. + 2.38850e6i −0.159191 + 0.697463i
\(412\) −1.61918e6 + 2.03039e6i −0.469952 + 0.589301i
\(413\) −769037. 370349.i −0.221857 0.106840i
\(414\) −1.14853e7 5.53101e6i −3.29337 1.58600i
\(415\) −272461. + 1.19373e6i −0.0776576 + 0.340240i
\(416\) −1.69699e6 2.12795e6i −0.480779 0.602877i
\(417\) −5.38496e6 + 2.59326e6i −1.51650 + 0.730308i
\(418\) −7.78694e6 9.76452e6i −2.17985 2.73344i
\(419\) 81291.8 + 356163.i 0.0226210 + 0.0991091i 0.984978 0.172679i \(-0.0552422\pi\)
−0.962357 + 0.271788i \(0.912385\pi\)
\(420\) −1.24928e7 6.01622e6i −3.45571 1.66418i
\(421\) −423930. 1.85736e6i −0.116571 0.510729i −0.999175 0.0406125i \(-0.987069\pi\)
0.882604 0.470116i \(-0.155788\pi\)
\(422\) 533286. 256817.i 0.145774 0.0702009i
\(423\) 1.36085e7 3.69793
\(424\) −4.40583e6 −1.19018
\(425\) 69.7570 33.5932i 1.87333e−5 9.02151e-6i
\(426\) 3.61262e6 1.58279e7i 0.964491 4.22571i
\(427\) −2.24498e6 + 2.81511e6i −0.595857 + 0.747181i
\(428\) 5.05566e6 + 6.33959e6i 1.33404 + 1.67283i
\(429\) 8.59835e6 2.25565
\(430\) 2.93561e6 5.61405e6i 0.765645 1.46422i
\(431\) −2.91635e6 −0.756218 −0.378109 0.925761i \(-0.623426\pi\)
−0.378109 + 0.925761i \(0.623426\pi\)
\(432\) −1.15789e7 1.45195e7i −2.98509 3.74318i
\(433\) 2.80014e6 3.51127e6i 0.717729 0.900004i −0.280478 0.959861i \(-0.590493\pi\)
0.998207 + 0.0598566i \(0.0190643\pi\)
\(434\) −544477. + 2.38551e6i −0.138757 + 0.607935i
\(435\) −531436. + 255926.i −0.134657 + 0.0648473i
\(436\) 8.02308e6 2.02127
\(437\) 4.93928e6 1.23726
\(438\) −1.43107e7 + 6.89169e6i −3.56432 + 1.71649i
\(439\) 570874. + 2.50116e6i 0.141377 + 0.619414i 0.995116 + 0.0987124i \(0.0314724\pi\)
−0.853739 + 0.520701i \(0.825670\pi\)
\(440\) −9.28232e6 4.47013e6i −2.28573 1.10075i
\(441\) −10744.6 47075.1i −0.00263083 0.0115264i
\(442\) −605.168 758.857i −0.000147340 0.000184758i
\(443\) 4.42566e6 2.13128e6i 1.07144 0.515979i 0.186871 0.982385i \(-0.440166\pi\)
0.884571 + 0.466405i \(0.154451\pi\)
\(444\) 4.95899e6 + 6.21838e6i 1.19381 + 1.49699i
\(445\) 1.17565e6 5.15085e6i 0.281434 1.23304i
\(446\) 7.72029e6 + 3.71789e6i 1.83779 + 0.885034i
\(447\) −6.48121e6 3.12118e6i −1.53422 0.738840i
\(448\) 529801. 664350.i 0.124715 0.156387i
\(449\) 187064. 819579.i 0.0437898 0.191856i −0.948302 0.317369i \(-0.897201\pi\)
0.992092 + 0.125513i \(0.0400578\pi\)
\(450\) −644181. 2.82234e6i −0.149960 0.657020i
\(451\) −3.57483e6 + 4.48269e6i −0.827587 + 1.03776i
\(452\) 1.25592e6 1.57487e6i 0.289144 0.362575i
\(453\) 190037. + 832605.i 0.0435103 + 0.190631i
\(454\) −1.66499e6 + 7.29481e6i −0.379116 + 1.66102i
\(455\) −2.40230e6 + 3.01239e6i −0.543999 + 0.682154i
\(456\) 2.49332e7 + 1.20072e7i 5.61522 + 2.70415i
\(457\) 2.88098e6 + 1.38741e6i 0.645282 + 0.310751i 0.727750 0.685842i \(-0.240566\pi\)
−0.0824683 + 0.996594i \(0.526280\pi\)
\(458\) −1.30574e6 + 5.72081e6i −0.290865 + 1.27436i
\(459\) −1133.13 1420.90i −0.000251043 0.000314798i
\(460\) 6.71284e6 3.23274e6i 1.47915 0.712321i
\(461\) −1.66742e6 2.09087e6i −0.365420 0.458222i 0.564799 0.825229i \(-0.308954\pi\)
−0.930218 + 0.367007i \(0.880382\pi\)
\(462\) −4.38122e6 1.91954e7i −0.954971 4.18400i
\(463\) 5.60492e6 + 2.69919e6i 1.21511 + 0.585168i 0.927947 0.372713i \(-0.121572\pi\)
0.287167 + 0.957881i \(0.407287\pi\)
\(464\) 147944. + 648184.i 0.0319008 + 0.139767i
\(465\) 2.53061e6 1.21868e6i 0.542740 0.261370i
\(466\) 3.69454e6 0.788127
\(467\) 2.34169e6 0.496863 0.248431 0.968650i \(-0.420085\pi\)
0.248431 + 0.968650i \(0.420085\pi\)
\(468\) −2.25013e7 + 1.08361e7i −4.74891 + 2.28695i
\(469\) −727610. + 3.18787e6i −0.152745 + 0.669219i
\(470\) −7.20629e6 + 9.03640e6i −1.50476 + 1.88691i
\(471\) −8.48732e6 1.06428e7i −1.76286 2.21056i
\(472\) 2.56974e6 0.530926
\(473\) 6.07752e6 1.17763e6i 1.24903 0.242023i
\(474\) −228736. −0.0467616
\(475\) 699358. + 876967.i 0.142222 + 0.178340i
\(476\) −953.625 + 1195.81i −0.000192913 + 0.000241905i
\(477\) −1.54174e6 + 6.75480e6i −0.310252 + 1.35930i
\(478\) −7.45895e6 + 3.59204e6i −1.49317 + 0.719071i
\(479\) −4.97842e6 −0.991409 −0.495704 0.868491i \(-0.665090\pi\)
−0.495704 + 0.868491i \(0.665090\pi\)
\(480\) 7.15425e6 1.41730
\(481\) 1.99123e6 958925.i 0.392426 0.188983i
\(482\) 1.99624e6 + 8.74608e6i 0.391376 + 1.71473i
\(483\) 7.01553e6 + 3.37850e6i 1.36834 + 0.658956i
\(484\) −1.56568e6 6.85969e6i −0.303801 1.33104i
\(485\) −562720. 705628.i −0.108627 0.136214i
\(486\) −2.12528e7 + 1.02348e7i −4.08156 + 1.96558i
\(487\) 2.60215e6 + 3.26300e6i 0.497177 + 0.623440i 0.965590 0.260070i \(-0.0837456\pi\)
−0.468413 + 0.883509i \(0.655174\pi\)
\(488\) 2.41215e6 1.05683e7i 0.458516 2.00889i
\(489\) 7.91425e6 + 3.81130e6i 1.49671 + 0.720777i
\(490\) 36948.9 + 17793.6i 0.00695202 + 0.00334792i
\(491\) 1.04028e6 1.30447e6i 0.194736 0.244191i −0.674871 0.737936i \(-0.735801\pi\)
0.869607 + 0.493744i \(0.164372\pi\)
\(492\) 5.16953e6 2.26492e7i 0.962806 4.21833i
\(493\) 14.4781 + 63.4325i 2.68283e−6 + 1.17542e-5i
\(494\) 8.76735e6 1.09939e7i 1.61641 2.02691i
\(495\) −1.01016e7 + 1.26670e7i −1.85300 + 2.32359i
\(496\) −704482. 3.08654e6i −0.128578 0.563336i
\(497\) −1.58187e6 + 6.93062e6i −0.287263 + 1.25858i
\(498\) 4.39229e6 5.50776e6i 0.793629 0.995180i
\(499\) −8.20495e6 3.95130e6i −1.47511 0.710376i −0.488364 0.872640i \(-0.662406\pi\)
−0.986747 + 0.162264i \(0.948120\pi\)
\(500\) 1.17800e7 + 5.67294e6i 2.10727 + 1.01481i
\(501\) 23153.5 101442.i 0.00412120 0.0180561i
\(502\) −9.94919e6 1.24759e7i −1.76209 2.20959i
\(503\) −3.78362e6 + 1.82209e6i −0.666787 + 0.321108i −0.736478 0.676461i \(-0.763513\pi\)
0.0696917 + 0.997569i \(0.477798\pi\)
\(504\) 1.94991e7 + 2.44511e7i 3.41930 + 4.28767i
\(505\) 1.93876e6 + 8.49424e6i 0.338294 + 1.48216i
\(506\) 9.53192e6 + 4.59033e6i 1.65502 + 0.797017i
\(507\) −266169. 1.16616e6i −0.0459873 0.201483i
\(508\) 1.41407e7 6.80979e6i 2.43115 1.17078i
\(509\) −2.50744e6 −0.428980 −0.214490 0.976726i \(-0.568809\pi\)
−0.214490 + 0.976726i \(0.568809\pi\)
\(510\) 2551.30 0.000434346
\(511\) 6.26629e6 3.01769e6i 1.06159 0.511237i
\(512\) −2.95008e6 + 1.29251e7i −0.497346 + 2.17902i
\(513\) 1.64162e7 2.05853e7i 2.75410 3.45353i
\(514\) −9.98446e6 1.25201e7i −1.66693 2.09026i
\(515\) −1.89683e6 −0.315145
\(516\) −2.01163e7 + 1.49836e7i −3.32601 + 2.47737i
\(517\) −1.12940e7 −1.85833
\(518\) −3.15536e6 3.95670e6i −0.516684 0.647901i
\(519\) −7.18736e6 + 9.01267e6i −1.17125 + 1.46871i
\(520\) 2.58119e6 1.13089e7i 0.418611 1.83406i
\(521\) −7.13395e6 + 3.43553e6i −1.15143 + 0.554497i −0.909462 0.415788i \(-0.863506\pi\)
−0.241964 + 0.970285i \(0.577792\pi\)
\(522\) 2.43276e6 0.390771
\(523\) 1.13332e7 1.81175 0.905876 0.423543i \(-0.139214\pi\)
0.905876 + 0.423543i \(0.139214\pi\)
\(524\) −1.21799e7 + 5.86555e6i −1.93784 + 0.933213i
\(525\) 393485. + 1.72397e6i 0.0623059 + 0.272980i
\(526\) 1.95607e7 + 9.41994e6i 3.08262 + 1.48451i
\(527\) −68.9420 302.054i −1.08133e−5 4.73760e-5i
\(528\) 1.58834e7 + 1.99172e7i 2.47947 + 3.10916i
\(529\) 2.02925e6 977233.i 0.315279 0.151830i
\(530\) −3.66896e6 4.60072e6i −0.567352 0.711437i
\(531\) 899231. 3.93979e6i 0.138400 0.606369i
\(532\) −1.99641e7 9.61422e6i −3.05824 1.47277i
\(533\) −5.81617e6 2.80092e6i −0.886787 0.427054i
\(534\) −1.89524e7 + 2.37655e7i −2.87614 + 3.60657i
\(535\) −1.31789e6 + 5.77407e6i −0.199066 + 0.872163i
\(536\) −2.19053e6 9.59735e6i −0.329335 1.44291i
\(537\) −3.32605e6 + 4.17073e6i −0.497729 + 0.624132i
\(538\) 1.37754e7 1.72738e7i 2.05187 2.57296i
\(539\) 8917.20 + 39068.8i 0.00132208 + 0.00579240i
\(540\) 8.83785e6 3.87212e7i 1.30425 5.71431i
\(541\) 2.65382e6 3.32778e6i 0.389832 0.488834i −0.547728 0.836656i \(-0.684507\pi\)
0.937561 + 0.347822i \(0.113079\pi\)
\(542\) −2.82770e6 1.36175e6i −0.413461 0.199112i
\(543\) −2.44186e6 1.17594e6i −0.355403 0.171153i
\(544\) 175.603 769.368i 2.54411e−5 0.000111465i
\(545\) 3.65369e6 + 4.58159e6i 0.526916 + 0.660731i
\(546\) 1.99726e7 9.61832e6i 2.86717 1.38076i
\(547\) 6.27511e6 + 7.86874e6i 0.896713 + 1.12444i 0.991650 + 0.128959i \(0.0411635\pi\)
−0.0949374 + 0.995483i \(0.530265\pi\)
\(548\) 1.31416e6 + 5.75769e6i 0.186937 + 0.819025i
\(549\) −1.53587e7 7.39638e6i −2.17483 1.04734i
\(550\) 534623. + 2.34233e6i 0.0753600 + 0.330174i
\(551\) −849262. + 408983.i −0.119169 + 0.0573887i
\(552\) −2.34424e7 −3.27457
\(553\) 100158. 0.0139274
\(554\) −1.65097e7 + 7.95065e6i −2.28541 + 1.10060i
\(555\) −1.29270e6 + 5.66368e6i −0.178141 + 0.780487i
\(556\) −8.98307e6 + 1.12644e7i −1.23236 + 1.54533i
\(557\) −5.06841e6 6.35559e6i −0.692204 0.867996i 0.304210 0.952605i \(-0.401607\pi\)
−0.996414 + 0.0846086i \(0.973036\pi\)
\(558\) −1.15844e7 −1.57502
\(559\) 2.81530e6 + 6.37611e6i 0.381062 + 0.863031i
\(560\) −1.14155e7 −1.53825
\(561\) 1554.38 + 1949.13i 0.000208521 + 0.000261477i
\(562\) −1.16628e7 + 1.46247e7i −1.55762 + 1.95320i
\(563\) 966947. 4.23647e6i 0.128568 0.563292i −0.869076 0.494679i \(-0.835286\pi\)
0.997643 0.0686125i \(-0.0218572\pi\)
\(564\) 4.12300e7 1.98553e7i 5.45777 2.62832i
\(565\) 1.47127e6 0.193897
\(566\) −1.33595e7 −1.75287
\(567\) 1.98950e7 9.58095e6i 2.59889 1.25156i
\(568\) −4.76235e6 2.08652e7i −0.619371 2.71364i
\(569\) −1.80307e6 868311.i −0.233470 0.112433i 0.313492 0.949591i \(-0.398501\pi\)
−0.546961 + 0.837158i \(0.684216\pi\)
\(570\) 8.22479e6 + 3.60352e7i 1.06032 + 4.64557i
\(571\) 6.48600e6 + 8.13319e6i 0.832505 + 1.04393i 0.998330 + 0.0577730i \(0.0184000\pi\)
−0.165825 + 0.986155i \(0.553029\pi\)
\(572\) 1.86745e7 8.99314e6i 2.38648 1.14927i
\(573\) −4.08861e6 5.12696e6i −0.520223 0.652339i
\(574\) −3.28933e6 + 1.44115e7i −0.416704 + 1.82570i
\(575\) −856077. 412265.i −0.107980 0.0520004i
\(576\) 3.62457e6 + 1.74550e6i 0.455198 + 0.219212i
\(577\) 8.76217e6 1.09874e7i 1.09565 1.37390i 0.174517 0.984654i \(-0.444164\pi\)
0.921133 0.389248i \(-0.127265\pi\)
\(578\) −3.20058e6 + 1.40226e7i −0.398482 + 1.74586i
\(579\) 5.01621e6 + 2.19774e7i 0.621841 + 2.72446i
\(580\) −886531. + 1.11167e6i −0.109427 + 0.137217i
\(581\) −1.92327e6 + 2.41170e6i −0.236374 + 0.296403i
\(582\) 1.15548e6 + 5.06248e6i 0.141402 + 0.619521i
\(583\) 1.27953e6 5.60599e6i 0.155912 0.683094i
\(584\) −1.30551e7 + 1.63706e7i −1.58398 + 1.98625i
\(585\) −1.64350e7 7.91469e6i −1.98555 0.956190i
\(586\) 7.04541e6 + 3.39289e6i 0.847544 + 0.408155i
\(587\) 131720. 577102.i 0.0157781 0.0691285i −0.966426 0.256945i \(-0.917284\pi\)
0.982204 + 0.187817i \(0.0601411\pi\)
\(588\) −101238. 126948.i −0.0120753 0.0151420i
\(589\) 4.04403e6 1.94750e6i 0.480315 0.231308i
\(590\) 2.13995e6 + 2.68341e6i 0.253089 + 0.317363i
\(591\) −4.29261e6 1.88072e7i −0.505537 2.21490i
\(592\) 5.89956e6 + 2.84108e6i 0.691856 + 0.333180i
\(593\) −1.96177e6 8.59509e6i −0.229093 1.00372i −0.950381 0.311088i \(-0.899307\pi\)
0.721288 0.692635i \(-0.243550\pi\)
\(594\) 5.08112e7 2.44694e7i 5.90872 2.84549i
\(595\) −1117.15 −0.000129365
\(596\) −1.73408e7 −1.99965
\(597\) 3.69641e6 1.78010e6i 0.424467 0.204413i
\(598\) −2.65059e6 + 1.16130e7i −0.303103 + 1.32798i
\(599\) −1.78037e6 + 2.23251e6i −0.202741 + 0.254230i −0.872799 0.488079i \(-0.837698\pi\)
0.670058 + 0.742309i \(0.266269\pi\)
\(600\) −3.31923e6 4.16218e6i −0.376408 0.472001i
\(601\) 3.67084e6 0.414552 0.207276 0.978283i \(-0.433540\pi\)
0.207276 + 0.978283i \(0.433540\pi\)
\(602\) 1.27998e7 9.53391e6i 1.43950 1.07221i
\(603\) −1.54807e7 −1.73379
\(604\) 1.28357e6 + 1.60954e6i 0.143162 + 0.179519i
\(605\) 3.20422e6 4.01797e6i 0.355905 0.446291i
\(606\) 1.11545e7 4.88712e7i 1.23387 5.40594i
\(607\) 1.27082e7 6.11994e6i 1.39995 0.674180i 0.426798 0.904347i \(-0.359642\pi\)
0.973151 + 0.230167i \(0.0739273\pi\)
\(608\) 1.14328e7 1.25428
\(609\) −1.48600e6 −0.162359
\(610\) 1.30445e7 6.28191e6i 1.41940 0.683545i
\(611\) −2.82957e6 1.23972e7i −0.306632 1.34344i
\(612\) −6524.11 3141.85i −0.000704114 0.000339083i
\(613\) 1.67295e6 + 7.32968e6i 0.179818 + 0.787833i 0.981713 + 0.190368i \(0.0609681\pi\)
−0.801895 + 0.597465i \(0.796175\pi\)
\(614\) −1.86493e7 2.33855e7i −1.99637 2.50337i
\(615\) 1.52880e7 7.36234e6i 1.62991 0.784924i
\(616\) −1.61828e7 2.02926e7i −1.71831 2.15469i
\(617\) 762879. 3.34239e6i 0.0806757 0.353463i −0.918438 0.395566i \(-0.870549\pi\)
0.999113 + 0.0421026i \(0.0134057\pi\)
\(618\) 9.83256e6 + 4.73511e6i 1.03561 + 0.498723i
\(619\) −1.34285e7 6.46683e6i −1.40864 0.678367i −0.433749 0.901034i \(-0.642809\pi\)
−0.974895 + 0.222667i \(0.928524\pi\)
\(620\) 4.22150e6 5.29360e6i 0.441050 0.553059i
\(621\) −4.96303e6 + 2.17445e7i −0.516438 + 2.26266i
\(622\) 2.09056e6 + 9.15935e6i 0.216664 + 0.949268i
\(623\) 8.29874e6 1.04063e7i 0.856628 1.07418i
\(624\) −1.78832e7 + 2.24248e7i −1.83859 + 2.30551i
\(625\) 1.80202e6 + 7.89518e6i 0.184527 + 0.808467i
\(626\) −2.71013e6 + 1.18739e7i −0.276411 + 1.21103i
\(627\) −2.25190e7 + 2.82380e7i −2.28760 + 2.86856i
\(628\) −2.95647e7 1.42376e7i −2.99140 1.44058i
\(629\) 577.343 + 278.033i 5.81844e−5 + 2.80202e-5i
\(630\) −9.29480e6 + 4.07232e7i −0.933015 + 4.08781i
\(631\) −8.43432e6 1.05763e7i −0.843289 1.05745i −0.997587 0.0694268i \(-0.977883\pi\)
0.154298 0.988024i \(-0.450688\pi\)
\(632\) −271672. + 130830.i −0.0270553 + 0.0130291i
\(633\) −1.06724e6 1.33828e6i −0.105865 0.132751i
\(634\) 1.98596e6 + 8.70106e6i 0.196222 + 0.859705i
\(635\) 1.03284e7 + 4.97388e6i 1.01648 + 0.489510i
\(636\) 5.18448e6 + 2.27147e7i 0.508232 + 2.22671i
\(637\) −40650.8 + 19576.4i −0.00396936 + 0.00191154i
\(638\) −2.01901e6 −0.196375
\(639\) −3.36560e7 −3.26070
\(640\) −1.01193e7 + 4.87321e6i −0.976566 + 0.470290i
\(641\) 1.84014e6 8.06219e6i 0.176891 0.775011i −0.806163 0.591694i \(-0.798459\pi\)
0.983054 0.183317i \(-0.0586835\pi\)
\(642\) 2.12455e7 2.66410e7i 2.03437 2.55102i
\(643\) 1.57894e6 + 1.97993e6i 0.150605 + 0.188853i 0.851411 0.524499i \(-0.175748\pi\)
−0.700806 + 0.713352i \(0.747176\pi\)
\(644\) 1.87704e7 1.78344
\(645\) −1.77173e7 4.66395e6i −1.67687 0.441422i
\(646\) 4077.10 0.000384389
\(647\) −1.23719e6 1.55139e6i −0.116192 0.145700i 0.720334 0.693627i \(-0.243989\pi\)
−0.836526 + 0.547927i \(0.815417\pi\)
\(648\) −4.14491e7 + 5.19756e7i −3.87773 + 4.86252i
\(649\) −746296. + 3.26973e6i −0.0695503 + 0.304720i
\(650\) −2.43718e6 + 1.17368e6i −0.226258 + 0.108960i
\(651\) 7.07606e6 0.654394
\(652\) 2.11750e7 1.95076
\(653\) −5.25615e6 + 2.53123e6i −0.482375 + 0.232300i −0.659236 0.751936i \(-0.729120\pi\)
0.176861 + 0.984236i \(0.443406\pi\)
\(654\) −7.50243e6 3.28703e7i −0.685895 3.00510i
\(655\) −8.89625e6 4.28421e6i −0.810222 0.390182i
\(656\) −4.25596e6 1.86466e7i −0.386134 1.69176i
\(657\) 2.05302e7 + 2.57441e7i 1.85558 + 2.32682i
\(658\) −2.62343e7 + 1.26338e7i −2.36213 + 1.13754i
\(659\) 9.53489e6 + 1.19564e7i 0.855267 + 1.07247i 0.996590 + 0.0825079i \(0.0262930\pi\)
−0.141323 + 0.989964i \(0.545136\pi\)
\(660\) −1.21234e7 + 5.31160e7i −1.08334 + 4.74641i
\(661\) −6.29026e6 3.02923e6i −0.559970 0.269667i 0.132416 0.991194i \(-0.457726\pi\)
−0.692386 + 0.721527i \(0.743441\pi\)
\(662\) 1.83238e7 + 8.82427e6i 1.62506 + 0.782589i
\(663\) −1750.08 + 2194.54i −0.000154623 + 0.000193892i
\(664\) 2.06648e6 9.05386e6i 0.181891 0.796918i
\(665\) −3.60142e6 1.57788e7i −0.315805 1.38363i
\(666\) 1.49387e7 1.87325e7i 1.30505 1.63648i
\(667\) 497845. 624278.i 0.0433291 0.0543329i
\(668\) −55813.6 244535.i −0.00483948 0.0212032i
\(669\) 5.51413e6 2.41590e7i 0.476334 2.08696i
\(670\) 8.19772e6 1.02796e7i 0.705515 0.884688i
\(671\) 1.27466e7 + 6.13844e6i 1.09292 + 0.526323i
\(672\) 1.62387e7 + 7.82013e6i 1.38716 + 0.668022i
\(673\) 156887. 687367.i 0.0133521 0.0584994i −0.967813 0.251670i \(-0.919020\pi\)
0.981165 + 0.193171i \(0.0618772\pi\)
\(674\) 2.20556e7 + 2.76568e7i 1.87012 + 2.34505i
\(675\) −4.56344e6 + 2.19763e6i −0.385507 + 0.185650i
\(676\) −1.79779e6 2.25436e6i −0.151312 0.189739i
\(677\) −1.04397e6 4.57395e6i −0.0875423 0.383548i 0.912109 0.409947i \(-0.134453\pi\)
−0.999651 + 0.0263995i \(0.991596\pi\)
\(678\) −7.62660e6 3.67277e6i −0.637172 0.306846i
\(679\) −505953. 2.21673e6i −0.0421149 0.184518i
\(680\) 3030.20 1459.27i 0.000251304 0.000121021i
\(681\) 2.16384e7 1.78795
\(682\) 9.61416e6 0.791499
\(683\) 1.16352e7 5.60324e6i 0.954385 0.459608i 0.109163 0.994024i \(-0.465183\pi\)
0.845221 + 0.534416i \(0.179469\pi\)
\(684\) 2.33440e7 1.02277e8i 1.90781 8.35865i
\(685\) −2.68947e6 + 3.37249e6i −0.218998 + 0.274615i
\(686\) −1.37295e7 1.72163e7i −1.11390 1.39679i
\(687\) 1.69694e7 1.37175
\(688\) −9.56897e6 + 1.82997e7i −0.770716 + 1.47392i
\(689\) 6.47412e6 0.519557
\(690\) −1.95216e7 2.44793e7i −1.56097 1.95739i
\(691\) 1.20813e7 1.51495e7i 0.962539 1.20699i −0.0157786 0.999876i \(-0.505023\pi\)
0.978318 0.207110i \(-0.0664059\pi\)
\(692\) −6.18349e6 + 2.70916e7i −0.490872 + 2.15065i
\(693\) −3.67744e7 + 1.77096e7i −2.90879 + 1.40080i
\(694\) −1.47428e6 −0.116193
\(695\) −1.05234e7 −0.826409
\(696\) 4.03069e6 1.94108e6i 0.315396 0.151887i
\(697\) −416.496 1824.79i −3.24735e−5 0.000142276i
\(698\) 2.31167e7 + 1.11324e7i 1.79592 + 0.864869i
\(699\) −2.37747e6 1.04164e7i −0.184044 0.806349i
\(700\) 2.65772e6 + 3.33267e6i 0.205005 + 0.257068i
\(701\) −1.40653e7 + 6.77351e6i −1.08107 + 0.520617i −0.887660 0.460500i \(-0.847670\pi\)
−0.193413 + 0.981117i \(0.561956\pi\)
\(702\) 3.95895e7 + 4.96437e7i 3.03206 + 3.80208i
\(703\) −2.06579e6 + 9.05083e6i −0.157652 + 0.690717i
\(704\) −3.00812e6 1.44864e6i −0.228752 0.110161i
\(705\) 3.01144e7 + 1.45024e7i 2.28193 + 1.09892i
\(706\) −2.19662e7 + 2.75448e7i −1.65861 + 2.07983i
\(707\) −4.88427e6 + 2.13994e7i −0.367495 + 1.61010i
\(708\) −3.02389e6 1.32485e7i −0.226716 0.993308i
\(709\) 5.33964e6 6.69569e6i 0.398930 0.500242i −0.541278 0.840844i \(-0.682059\pi\)
0.940208 + 0.340602i \(0.110631\pi\)
\(710\) 1.78224e7 2.23485e7i 1.32684 1.66381i
\(711\) 105516. + 462295.i 0.00782787 + 0.0342962i
\(712\) −8.91672e6 + 3.90667e7i −0.659181 + 2.88806i
\(713\) −2.37065e6 + 2.97270e6i −0.174640 + 0.218991i
\(714\) 5790.93 + 2788.76i 0.000425111 + 0.000204723i
\(715\) 1.36399e7 + 6.56861e6i 0.997802 + 0.480516i
\(716\) −2.86149e6 + 1.25370e7i −0.208598 + 0.913928i
\(717\) 1.49273e7 + 1.87182e7i 1.08438 + 1.35977i
\(718\) 3.15117e7 1.51752e7i 2.28119 1.09856i
\(719\) 3.48411e6 + 4.36894e6i 0.251345 + 0.315176i 0.891457 0.453105i \(-0.149684\pi\)
−0.640113 + 0.768281i \(0.721112\pi\)
\(720\) −1.20263e7 5.26905e7i −0.864568 3.78792i
\(721\) −4.30542e6 2.07338e6i −0.308444 0.148539i
\(722\) 7.56211e6 + 3.31318e7i 0.539883 + 2.36538i
\(723\) 2.33740e7 1.12563e7i 1.66298 0.800850i
\(724\) −6.53331e6 −0.463220
\(725\) 181330. 0.0128123
\(726\) −2.66398e7 + 1.28291e7i −1.87581 + 0.903345i
\(727\) −3.34095e6 + 1.46377e7i −0.234441 + 1.02715i 0.711467 + 0.702720i \(0.248031\pi\)
−0.945908 + 0.324435i \(0.894826\pi\)
\(728\) 1.82203e7 2.28475e7i 1.27417 1.59775i
\(729\) 1.67861e7 + 2.10491e7i 1.16985 + 1.46695i
\(730\) −2.79664e7 −1.94236
\(731\) −936.438 + 1790.84i −6.48165e−5 + 0.000123955i
\(732\) −5.73244e7 −3.95423
\(733\) −9.11183e6 1.14259e7i −0.626391 0.785469i 0.362837 0.931853i \(-0.381808\pi\)
−0.989228 + 0.146383i \(0.953237\pi\)
\(734\) 1.78480e7 2.23807e7i 1.22279 1.53332i
\(735\) 26390.3 115624.i 0.00180188 0.00789457i
\(736\) −8.72563e6 + 4.20204e6i −0.593748 + 0.285934i
\(737\) 1.28478e7 0.871287
\(738\) −6.99841e7 −4.72997
\(739\) 4.28799e6 2.06499e6i 0.288830 0.139093i −0.283858 0.958866i \(-0.591615\pi\)
0.572689 + 0.819773i \(0.305900\pi\)
\(740\) 3.11616e6 + 1.36528e7i 0.209190 + 0.916520i
\(741\) −3.66380e7 1.76439e7i −2.45124 1.18046i
\(742\) −3.29884e6 1.44531e7i −0.219964 0.963724i
\(743\) −1.66939e7 2.09335e7i −1.10940 1.39114i −0.911690 0.410879i \(-0.865222\pi\)
−0.197707 0.980261i \(-0.563349\pi\)
\(744\) −1.91934e7 + 9.24306e6i −1.27122 + 0.612186i
\(745\) −7.89696e6 9.90247e6i −0.521278 0.653662i
\(746\) −2.85802e6 + 1.25218e7i −0.188026 + 0.823795i
\(747\) −1.31578e7 6.33646e6i −0.862743 0.415475i
\(748\) 5414.53 + 2607.50i 0.000353840 + 0.000170400i
\(749\) −9.30285e6 + 1.16654e7i −0.605915 + 0.759793i
\(750\) 1.22263e7 5.35670e7i 0.793674 3.47731i
\(751\) −4.26124e6 1.86697e7i −0.275699 1.20792i −0.903172 0.429279i \(-0.858768\pi\)
0.627473 0.778639i \(-0.284089\pi\)
\(752\) 2.34898e7 2.94552e7i 1.51473 1.89941i
\(753\) −2.87720e7 + 3.60790e7i −1.84920 + 2.31882i
\(754\) −505837. 2.21622e6i −0.0324028 0.141966i
\(755\) −334597. + 1.46596e6i −0.0213626 + 0.0935957i
\(756\) 6.23853e7 7.82286e7i 3.96988 4.97807i
\(757\) 940432. + 452888.i 0.0596469 + 0.0287244i 0.463469 0.886113i \(-0.346604\pi\)
−0.403823 + 0.914837i \(0.632319\pi\)
\(758\) 1.07387e7 + 5.17149e6i 0.678858