Properties

Label 43.7.h.a.29.16
Level 43
Weight 7
Character 43.29
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 29.16
Character \(\chi\) \(=\) 43.29
Dual form 43.7.h.a.3.16

$q$-expansion

\(f(q)\) \(=\) \(q+(3.92333 + 8.14687i) q^{2} +(7.09953 - 0.532036i) q^{3} +(-11.0757 + 13.8885i) q^{4} +(43.9242 + 142.399i) q^{5} +(32.1882 + 55.7516i) q^{6} +(-72.9514 - 42.1185i) q^{7} +(407.599 + 93.0319i) q^{8} +(-670.737 + 101.097i) q^{9} +O(q^{10})\) \(q+(3.92333 + 8.14687i) q^{2} +(7.09953 - 0.532036i) q^{3} +(-11.0757 + 13.8885i) q^{4} +(43.9242 + 142.399i) q^{5} +(32.1882 + 55.7516i) q^{6} +(-72.9514 - 42.1185i) q^{7} +(407.599 + 93.0319i) q^{8} +(-670.737 + 101.097i) q^{9} +(-987.776 + 916.522i) q^{10} +(1140.28 + 1429.87i) q^{11} +(-71.2432 + 104.495i) q^{12} +(798.493 + 740.893i) q^{13} +(56.9219 - 759.570i) q^{14} +(387.603 + 987.595i) q^{15} +(1094.21 + 4794.05i) q^{16} +(-9192.36 - 2835.47i) q^{17} +(-3455.15 - 5067.78i) q^{18} +(-423.918 + 2812.51i) q^{19} +(-2464.20 - 967.126i) q^{20} +(-540.329 - 260.209i) q^{21} +(-7175.26 + 14899.6i) q^{22} +(7075.99 - 18029.3i) q^{23} +(2943.26 + 443.625i) q^{24} +(-5438.09 + 3707.63i) q^{25} +(-2903.21 + 9411.98i) q^{26} +(-9768.08 + 2229.50i) q^{27} +(1392.95 - 546.693i) q^{28} +(17389.7 + 1303.18i) q^{29} +(-6525.12 + 7032.41i) q^{30} +(44993.2 + 30675.8i) q^{31} +(-13843.9 + 11040.2i) q^{32} +(8856.21 + 9544.72i) q^{33} +(-12964.4 - 86013.4i) q^{34} +(2793.29 - 12238.2i) q^{35} +(6024.80 - 10435.3i) q^{36} +(84503.8 - 48788.3i) q^{37} +(-24576.4 + 7580.80i) q^{38} +(6063.11 + 4835.17i) q^{39} +(4655.85 + 62128.0i) q^{40} +(2649.15 - 1275.76i) q^{41} -5422.88i q^{42} +(-74858.4 + 26787.8i) q^{43} -32488.2 q^{44} +(-43857.7 - 91071.5i) q^{45} +(174644. - 13087.8i) q^{46} +(53629.5 - 67249.2i) q^{47} +(10319.0 + 33453.4i) q^{48} +(-55276.6 - 95741.8i) q^{49} +(-51541.0 - 29757.2i) q^{50} +(-66770.0 - 15239.8i) q^{51} +(-19133.8 + 2883.95i) q^{52} +(125503. - 116450. i) q^{53} +(-56486.8 - 70832.3i) q^{54} +(-153525. + 225181. i) q^{55} +(-25816.6 - 23954.3i) q^{56} +(-1513.26 + 20193.1i) q^{57} +(57608.6 + 146784. i) q^{58} +(-45877.6 - 201003. i) q^{59} +(-18009.2 - 5555.10i) q^{60} +(24145.2 + 35414.5i) q^{61} +(-73389.1 + 486905. i) q^{62} +(53189.3 + 20875.3i) q^{63} +(139286. + 67076.7i) q^{64} +(-70429.1 + 146247. i) q^{65} +(-43013.8 + 109597. i) q^{66} +(119714. + 18044.0i) q^{67} +(141192. - 96263.3i) q^{68} +(40643.9 - 131764. i) q^{69} +(110662. - 25257.9i) q^{70} +(-496147. + 194723. i) q^{71} +(-282797. - 21192.7i) q^{72} +(-370670. + 399487. i) q^{73} +(729009. + 497030. i) q^{74} +(-36635.3 + 29215.7i) q^{75} +(-34366.4 - 37038.2i) q^{76} +(-22961.2 - 152338. i) q^{77} +(-15603.9 + 68365.3i) q^{78} +(24923.9 - 43169.4i) q^{79} +(-634604. + 366389. i) q^{80} +(404359. - 124728. i) q^{81} +(20786.9 + 16577.0i) q^{82} +(-60618.8 - 808902. i) q^{83} +(9598.44 - 4622.37i) q^{84} -1.43353e6i q^{85} +(-511931. - 504765. i) q^{86} +124152. q^{87} +(331755. + 688896. i) q^{88} +(-256139. + 19195.0i) q^{89} +(569880. - 714607. i) q^{90} +(-27045.8 - 87680.5i) q^{91} +(172029. + 297962. i) q^{92} +(335751. + 193846. i) q^{93} +(758277. + 173072. i) q^{94} +(-419118. + 63171.9i) q^{95} +(-92411.8 + 85745.6i) q^{96} +(-137751. - 172734. i) q^{97} +(563128. - 825958. i) q^{98} +(-909385. - 843786. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.92333 + 8.14687i 0.490416 + 1.01836i 0.988499 + 0.151230i \(0.0483233\pi\)
−0.498083 + 0.867130i \(0.665962\pi\)
\(3\) 7.09953 0.532036i 0.262946 0.0197050i 0.0573950 0.998352i \(-0.481721\pi\)
0.205551 + 0.978646i \(0.434101\pi\)
\(4\) −11.0757 + 13.8885i −0.173058 + 0.217008i
\(5\) 43.9242 + 142.399i 0.351394 + 1.13919i 0.942952 + 0.332928i \(0.108037\pi\)
−0.591559 + 0.806262i \(0.701487\pi\)
\(6\) 32.1882 + 55.7516i 0.149020 + 0.258109i
\(7\) −72.9514 42.1185i −0.212686 0.122794i 0.389873 0.920869i \(-0.372519\pi\)
−0.602559 + 0.798074i \(0.705852\pi\)
\(8\) 407.599 + 93.0319i 0.796092 + 0.181703i
\(9\) −670.737 + 101.097i −0.920079 + 0.138680i
\(10\) −987.776 + 916.522i −0.987776 + 0.916522i
\(11\) 1140.28 + 1429.87i 0.856710 + 1.07428i 0.996458 + 0.0840938i \(0.0267995\pi\)
−0.139747 + 0.990187i \(0.544629\pi\)
\(12\) −71.2432 + 104.495i −0.0412287 + 0.0604714i
\(13\) 798.493 + 740.893i 0.363447 + 0.337229i 0.840665 0.541555i \(-0.182164\pi\)
−0.477218 + 0.878785i \(0.658355\pi\)
\(14\) 56.9219 759.570i 0.0207441 0.276811i
\(15\) 387.603 + 987.595i 0.114845 + 0.292621i
\(16\) 1094.21 + 4794.05i 0.267141 + 1.17042i
\(17\) −9192.36 2835.47i −1.87103 0.577136i −0.995591 0.0938025i \(-0.970098\pi\)
−0.875437 0.483333i \(-0.839426\pi\)
\(18\) −3455.15 5067.78i −0.592447 0.868960i
\(19\) −423.918 + 2812.51i −0.0618046 + 0.410047i 0.936440 + 0.350827i \(0.114099\pi\)
−0.998245 + 0.0592200i \(0.981139\pi\)
\(20\) −2464.20 967.126i −0.308025 0.120891i
\(21\) −540.329 260.209i −0.0583446 0.0280973i
\(22\) −7175.26 + 14899.6i −0.673860 + 1.39928i
\(23\) 7075.99 18029.3i 0.581572 1.48182i −0.272754 0.962084i \(-0.587935\pi\)
0.854326 0.519737i \(-0.173970\pi\)
\(24\) 2943.26 + 443.625i 0.212909 + 0.0320909i
\(25\) −5438.09 + 3707.63i −0.348038 + 0.237288i
\(26\) −2903.21 + 9411.98i −0.165181 + 0.535502i
\(27\) −9768.08 + 2229.50i −0.496270 + 0.113270i
\(28\) 1392.95 546.693i 0.0634544 0.0249040i
\(29\) 17389.7 + 1303.18i 0.713013 + 0.0534329i 0.426298 0.904583i \(-0.359818\pi\)
0.286715 + 0.958016i \(0.407437\pi\)
\(30\) −6525.12 + 7032.41i −0.241671 + 0.260460i
\(31\) 44993.2 + 30675.8i 1.51029 + 1.02970i 0.983748 + 0.179554i \(0.0574655\pi\)
0.526546 + 0.850147i \(0.323487\pi\)
\(32\) −13843.9 + 11040.2i −0.422484 + 0.336920i
\(33\) 8856.21 + 9544.72i 0.246437 + 0.265596i
\(34\) −12964.4 86013.4i −0.329850 2.18841i
\(35\) 2793.29 12238.2i 0.0651496 0.285439i
\(36\) 6024.80 10435.3i 0.129132 0.223664i
\(37\) 84503.8 48788.3i 1.66829 0.963187i 0.699728 0.714409i \(-0.253304\pi\)
0.968561 0.248778i \(-0.0800289\pi\)
\(38\) −24576.4 + 7580.80i −0.447885 + 0.138154i
\(39\) 6063.11 + 4835.17i 0.102212 + 0.0815112i
\(40\) 4655.85 + 62128.0i 0.0727476 + 0.970750i
\(41\) 2649.15 1275.76i 0.0384374 0.0185105i −0.414566 0.910019i \(-0.636067\pi\)
0.453004 + 0.891509i \(0.350352\pi\)
\(42\) 5422.88i 0.0731951i
\(43\) −74858.4 + 26787.8i −0.941532 + 0.336924i
\(44\) −32488.2 −0.381388
\(45\) −43857.7 91071.5i −0.481292 0.999413i
\(46\) 174644. 13087.8i 1.79424 0.134460i
\(47\) 53629.5 67249.2i 0.516547 0.647730i −0.453325 0.891345i \(-0.649762\pi\)
0.969872 + 0.243616i \(0.0783336\pi\)
\(48\) 10319.0 + 33453.4i 0.0933069 + 0.302493i
\(49\) −55276.6 95741.8i −0.469843 0.813792i
\(50\) −51541.0 29757.2i −0.412328 0.238058i
\(51\) −66770.0 15239.8i −0.503351 0.114887i
\(52\) −19133.8 + 2883.95i −0.136079 + 0.0205106i
\(53\) 125503. 116450.i 0.843000 0.782189i −0.134989 0.990847i \(-0.543100\pi\)
0.977989 + 0.208658i \(0.0669095\pi\)
\(54\) −56486.8 70832.3i −0.358729 0.449831i
\(55\) −153525. + 225181.i −0.922768 + 1.35345i
\(56\) −25816.6 23954.3i −0.147006 0.136401i
\(57\) −1513.26 + 20193.1i −0.00817126 + 0.109038i
\(58\) 57608.6 + 146784.i 0.295259 + 0.752307i
\(59\) −45877.6 201003.i −0.223380 0.978692i −0.954913 0.296886i \(-0.904052\pi\)
0.731533 0.681806i \(-0.238805\pi\)
\(60\) −18009.2 5555.10i −0.0833759 0.0257181i
\(61\) 24145.2 + 35414.5i 0.106375 + 0.156024i 0.875735 0.482791i \(-0.160377\pi\)
−0.769360 + 0.638816i \(0.779425\pi\)
\(62\) −73389.1 + 486905.i −0.307933 + 2.04300i
\(63\) 53189.3 + 20875.3i 0.212717 + 0.0834853i
\(64\) 139286. + 67076.7i 0.531335 + 0.255877i
\(65\) −70429.1 + 146247.i −0.256455 + 0.532535i
\(66\) −43013.8 + 109597.i −0.149615 + 0.381214i
\(67\) 119714. + 18044.0i 0.398034 + 0.0599940i 0.345009 0.938599i \(-0.387876\pi\)
0.0530246 + 0.998593i \(0.483114\pi\)
\(68\) 141192. 96263.3i 0.449039 0.306150i
\(69\) 40643.9 131764.i 0.123722 0.401098i
\(70\) 110662. 25257.9i 0.322630 0.0736382i
\(71\) −496147. + 194723.i −1.38623 + 0.544055i −0.936990 0.349356i \(-0.886400\pi\)
−0.449240 + 0.893411i \(0.648305\pi\)
\(72\) −282797. 21192.7i −0.757666 0.0567792i
\(73\) −370670. + 399487.i −0.952838 + 1.02691i 0.0467701 + 0.998906i \(0.485107\pi\)
−0.999608 + 0.0280090i \(0.991083\pi\)
\(74\) 729009. + 497030.i 1.79903 + 1.22656i
\(75\) −36635.3 + 29215.7i −0.0868392 + 0.0692520i
\(76\) −34366.4 37038.2i −0.0782876 0.0843740i
\(77\) −22961.2 152338.i −0.0502948 0.333684i
\(78\) −15603.9 + 68365.3i −0.0328814 + 0.144063i
\(79\) 24923.9 43169.4i 0.0505515 0.0875578i −0.839642 0.543140i \(-0.817235\pi\)
0.890194 + 0.455582i \(0.150569\pi\)
\(80\) −634604. + 366389.i −1.23946 + 0.715604i
\(81\) 404359. 124728.i 0.760873 0.234698i
\(82\) 20786.9 + 16577.0i 0.0377007 + 0.0300653i
\(83\) −60618.8 808902.i −0.106016 1.41469i −0.755915 0.654670i \(-0.772808\pi\)
0.649898 0.760021i \(-0.274811\pi\)
\(84\) 9598.44 4622.37i 0.0161943 0.00779878i
\(85\) 1.43353e6i 2.33426i
\(86\) −511931. 504765.i −0.804852 0.793585i
\(87\) 124152. 0.188536
\(88\) 331755. + 688896.i 0.486821 + 1.01089i
\(89\) −256139. + 19195.0i −0.363334 + 0.0272281i −0.255146 0.966902i \(-0.582124\pi\)
−0.108187 + 0.994131i \(0.534505\pi\)
\(90\) 569880. 714607.i 0.781729 0.980257i
\(91\) −27045.8 87680.5i −0.0358902 0.116353i
\(92\) 172029. + 297962.i 0.220921 + 0.382647i
\(93\) 335751. + 193846.i 0.417415 + 0.240995i
\(94\) 758277. + 173072.i 0.912944 + 0.208374i
\(95\) −419118. + 63171.9i −0.488839 + 0.0736807i
\(96\) −92411.8 + 85745.6i −0.104451 + 0.0969166i
\(97\) −137751. 172734.i −0.150931 0.189262i 0.700618 0.713537i \(-0.252908\pi\)
−0.851549 + 0.524275i \(0.824336\pi\)
\(98\) 563128. 825958.i 0.598314 0.877566i
\(99\) −909385. 843786.i −0.937222 0.869615i
\(100\) 8737.33 116592.i 0.00873733 0.116592i
\(101\) 118813. + 302731.i 0.115319 + 0.293828i 0.976867 0.213848i \(-0.0685998\pi\)
−0.861548 + 0.507676i \(0.830505\pi\)
\(102\) −137804. 603758.i −0.129856 0.568934i
\(103\) 131619. + 40599.0i 0.120450 + 0.0371538i 0.354394 0.935096i \(-0.384687\pi\)
−0.233944 + 0.972250i \(0.575163\pi\)
\(104\) 256538. + 376273.i 0.228062 + 0.334505i
\(105\) 13319.9 88371.7i 0.0115062 0.0763388i
\(106\) 1.44109e6 + 565588.i 1.20997 + 0.474878i
\(107\) 1.08580e6 + 522892.i 0.886333 + 0.426836i 0.820934 0.571024i \(-0.193453\pi\)
0.0653996 + 0.997859i \(0.479168\pi\)
\(108\) 77224.0 160357.i 0.0613029 0.127297i
\(109\) −342273. + 872099.i −0.264298 + 0.673420i −0.999992 0.00389338i \(-0.998761\pi\)
0.735694 + 0.677314i \(0.236856\pi\)
\(110\) −2.43685e6 367296.i −1.83084 0.275955i
\(111\) 573980. 391333.i 0.419690 0.286140i
\(112\) 122094. 395819.i 0.0869041 0.281736i
\(113\) −1.82050e6 + 415518.i −1.26170 + 0.287975i −0.800506 0.599324i \(-0.795436\pi\)
−0.461194 + 0.887299i \(0.652579\pi\)
\(114\) −170447. + 66895.6i −0.115047 + 0.0451527i
\(115\) 2.87816e6 + 215688.i 1.89244 + 0.141819i
\(116\) −210702. + 227083.i −0.134988 + 0.145482i
\(117\) −610481. 416219.i −0.381166 0.259875i
\(118\) 1.45755e6 1.16236e6i 0.887111 0.707447i
\(119\) 551170. + 594020.i 0.327073 + 0.352501i
\(120\) 66108.7 + 438602.i 0.0382573 + 0.253821i
\(121\) −350071. + 1.53376e6i −0.197606 + 0.865768i
\(122\) −193788. + 335651.i −0.106720 + 0.184845i
\(123\) 18129.0 10466.8i 0.00974221 0.00562467i
\(124\) −924373. + 285131.i −0.484822 + 0.149548i
\(125\) 1.05361e6 + 840227.i 0.539449 + 0.430196i
\(126\) 38610.9 + 515227.i 0.0193018 + 0.257565i
\(127\) −1.10666e6 + 532941.i −0.540262 + 0.260176i −0.684054 0.729432i \(-0.739785\pi\)
0.143792 + 0.989608i \(0.454070\pi\)
\(128\) 2.53116e6i 1.20695i
\(129\) −517207. + 230008.i −0.240933 + 0.107146i
\(130\) −1.46778e6 −0.668082
\(131\) −508126. 1.05514e6i −0.226026 0.469347i 0.756857 0.653581i \(-0.226734\pi\)
−0.982883 + 0.184233i \(0.941020\pi\)
\(132\) −230651. + 17284.9i −0.100284 + 0.00751527i
\(133\) 149384. 187322.i 0.0634965 0.0796221i
\(134\) 322675. + 1.04609e6i 0.134107 + 0.434764i
\(135\) −746533. 1.29303e6i −0.303422 0.525543i
\(136\) −3.48301e6 2.01092e6i −1.38464 0.799424i
\(137\) 1.57423e6 + 359307.i 0.612217 + 0.139735i 0.517376 0.855758i \(-0.326909\pi\)
0.0948405 + 0.995492i \(0.469766\pi\)
\(138\) 1.23293e6 185834.i 0.469138 0.0707111i
\(139\) 974811. 904493.i 0.362975 0.336791i −0.477510 0.878626i \(-0.658461\pi\)
0.840485 + 0.541835i \(0.182270\pi\)
\(140\) 139033. + 174342.i 0.0506679 + 0.0635355i
\(141\) 344965. 505971.i 0.123060 0.180496i
\(142\) −3.53293e6 3.27808e6i −1.23387 1.14487i
\(143\) −148873. + 1.98657e6i −0.0509104 + 0.679352i
\(144\) −1.21859e6 3.10493e6i −0.408105 1.03983i
\(145\) 578257. + 2.53351e6i 0.189678 + 0.831033i
\(146\) −4.70883e6 1.45248e6i −1.51305 0.466716i
\(147\) −443376. 650313.i −0.139579 0.204725i
\(148\) −258344. + 1.71400e6i −0.0796916 + 0.528719i
\(149\) 707242. + 277572.i 0.213801 + 0.0839106i 0.469824 0.882760i \(-0.344317\pi\)
−0.256024 + 0.966671i \(0.582412\pi\)
\(150\) −381749. 183841.i −0.113111 0.0544713i
\(151\) 398264. 827003.i 0.115675 0.240202i −0.835091 0.550112i \(-0.814585\pi\)
0.950766 + 0.309911i \(0.100299\pi\)
\(152\) −434442. + 1.10694e6i −0.123709 + 0.315205i
\(153\) 6.45232e6 + 972530.i 1.80153 + 0.271537i
\(154\) 1.15099e6 784733.i 0.315145 0.214862i
\(155\) −2.39191e6 + 7.75438e6i −0.642317 + 2.08234i
\(156\) −134306. + 30654.6i −0.0353772 + 0.00807461i
\(157\) 1.94810e6 764575.i 0.503400 0.197570i −0.100032 0.994984i \(-0.531895\pi\)
0.603432 + 0.797414i \(0.293799\pi\)
\(158\) 449480. + 33683.9i 0.113957 + 0.00853987i
\(159\) 829059. 893513.i 0.206250 0.222285i
\(160\) −2.18019e6 1.48643e6i −0.532274 0.362898i
\(161\) −1.27557e6 + 1.01723e6i −0.305652 + 0.243749i
\(162\) 2.60258e6 + 2.80491e6i 0.612152 + 0.659742i
\(163\) 290574. + 1.92783e6i 0.0670956 + 0.445150i 0.997003 + 0.0773576i \(0.0246483\pi\)
−0.929908 + 0.367793i \(0.880114\pi\)
\(164\) −11622.8 + 50922.7i −0.00263498 + 0.0115446i
\(165\) −970155. + 1.68036e6i −0.215968 + 0.374067i
\(166\) 6.35220e6 3.66744e6i 1.38867 0.801750i
\(167\) −4.89633e6 + 1.51032e6i −1.05129 + 0.324279i −0.771796 0.635870i \(-0.780641\pi\)
−0.279490 + 0.960149i \(0.590165\pi\)
\(168\) −196030. 156329.i −0.0413423 0.0329694i
\(169\) −272040. 3.63012e6i −0.0563602 0.752074i
\(170\) 1.16788e7 5.62419e6i 2.37711 1.14476i
\(171\) 1.92931e6i 0.385847i
\(172\) 457068. 1.33636e6i 0.0898246 0.262627i
\(173\) 5.71009e6 1.10282 0.551410 0.834235i \(-0.314090\pi\)
0.551410 + 0.834235i \(0.314090\pi\)
\(174\) 487088. + 1.01145e6i 0.0924613 + 0.191998i
\(175\) 552876. 41432.3i 0.103161 0.00773081i
\(176\) −5.60715e6 + 7.03114e6i −1.02850 + 1.28970i
\(177\) −432650. 1.40262e6i −0.0780220 0.252941i
\(178\) −1.16130e6 2.01142e6i −0.205913 0.356651i
\(179\) −6.70421e6 3.87068e6i −1.16893 0.674882i −0.215502 0.976503i \(-0.569139\pi\)
−0.953428 + 0.301622i \(0.902472\pi\)
\(180\) 1.75060e6 + 399564.i 0.300172 + 0.0685123i
\(181\) −7.49077e6 + 1.12905e6i −1.26325 + 0.190405i −0.746301 0.665609i \(-0.768172\pi\)
−0.516953 + 0.856014i \(0.672934\pi\)
\(182\) 608212. 564338.i 0.100888 0.0936107i
\(183\) 190261. + 238580.i 0.0310454 + 0.0389297i
\(184\) 4.56147e6 6.69044e6i 0.732236 1.07399i
\(185\) 1.06592e7 + 9.89025e6i 1.68348 + 1.56204i
\(186\) −261977. + 3.49584e6i −0.0407122 + 0.543267i
\(187\) −6.42753e6 1.63771e7i −0.982923 2.50445i
\(188\) 340007. + 1.48967e6i 0.0511698 + 0.224190i
\(189\) 806498. + 248772.i 0.119459 + 0.0368481i
\(190\) −2.15899e6 3.16666e6i −0.314768 0.461680i
\(191\) −129500. + 859178.i −0.0185853 + 0.123306i −0.996200 0.0870995i \(-0.972240\pi\)
0.977614 + 0.210405i \(0.0674783\pi\)
\(192\) 1.02455e6 + 402108.i 0.144754 + 0.0568119i
\(193\) −2.32945e6 1.12181e6i −0.324028 0.156043i 0.264797 0.964304i \(-0.414695\pi\)
−0.588825 + 0.808261i \(0.700409\pi\)
\(194\) 866801. 1.79993e6i 0.118717 0.246519i
\(195\) −422204. + 1.07576e6i −0.0569402 + 0.145081i
\(196\) 1.94194e6 + 292700.i 0.257909 + 0.0388736i
\(197\) 4.67865e6 3.18985e6i 0.611958 0.417226i −0.217289 0.976107i \(-0.569722\pi\)
0.829248 + 0.558881i \(0.188769\pi\)
\(198\) 3.30640e6 1.07191e7i 0.425952 1.38090i
\(199\) 1.33114e6 303824.i 0.168914 0.0385534i −0.137228 0.990540i \(-0.543819\pi\)
0.306141 + 0.951986i \(0.400962\pi\)
\(200\) −2.56149e6 + 1.00531e6i −0.320186 + 0.125664i
\(201\) 859513. + 64411.6i 0.105843 + 0.00793187i
\(202\) −2.00017e6 + 2.15567e6i −0.242668 + 0.261534i
\(203\) −1.21371e6 827495.i −0.145087 0.0989185i
\(204\) 951184. 758544.i 0.112040 0.0893491i
\(205\) 298029. + 321198.i 0.0345936 + 0.0372831i
\(206\) 185628. + 1.23156e6i 0.0212345 + 0.140882i
\(207\) −2.92341e6 + 1.28083e7i −0.329594 + 1.44404i
\(208\) −2.67816e6 + 4.63871e6i −0.297609 + 0.515474i
\(209\) −4.50491e6 + 2.60091e6i −0.493454 + 0.284896i
\(210\) 772211. 238196.i 0.0833831 0.0257203i
\(211\) 1.86024e6 + 1.48349e6i 0.198026 + 0.157920i 0.717483 0.696576i \(-0.245294\pi\)
−0.519457 + 0.854497i \(0.673866\pi\)
\(212\) 227278. + 3.03282e6i 0.0238534 + 0.318302i
\(213\) −3.41881e6 + 1.64641e6i −0.353782 + 0.170373i
\(214\) 1.08973e7i 1.11193i
\(215\) −7.10264e6 9.48311e6i −0.714668 0.954191i
\(216\) −4.18888e6 −0.415658
\(217\) −1.99029e6 4.13289e6i −0.194777 0.404459i
\(218\) −8.44773e6 + 633070.i −0.815400 + 0.0611058i
\(219\) −2.41904e6 + 3.03338e6i −0.230309 + 0.288798i
\(220\) −1.42702e6 4.62627e6i −0.134017 0.434474i
\(221\) −5.23925e6 9.07465e6i −0.485392 0.840723i
\(222\) 5.44006e6 + 3.14082e6i 0.497215 + 0.287067i
\(223\) 7.90221e6 + 1.80363e6i 0.712581 + 0.162642i 0.563420 0.826171i \(-0.309485\pi\)
0.149161 + 0.988813i \(0.452343\pi\)
\(224\) 1.47493e6 222310.i 0.131228 0.0197795i
\(225\) 3.27270e6 3.03662e6i 0.287315 0.266589i
\(226\) −1.05276e7 1.32012e7i −0.912020 1.14364i
\(227\) −8.83493e6 + 1.29585e7i −0.755310 + 1.10784i 0.235407 + 0.971897i \(0.424358\pi\)
−0.990717 + 0.135940i \(0.956595\pi\)
\(228\) −263691. 244669.i −0.0222480 0.0206431i
\(229\) 97849.7 1.30571e6i 0.00814804 0.108728i −0.991647 0.128983i \(-0.958829\pi\)
0.999795 + 0.0202550i \(0.00644779\pi\)
\(230\) 9.53478e6 + 2.42942e7i 0.783659 + 1.99673i
\(231\) −244063. 1.06931e6i −0.0198001 0.0867497i
\(232\) 6.96678e6 + 2.14897e6i 0.557915 + 0.172094i
\(233\) 1.17888e7 + 1.72910e7i 0.931968 + 1.36695i 0.930242 + 0.366947i \(0.119597\pi\)
0.00172619 + 0.999999i \(0.499451\pi\)
\(234\) 995766. 6.60648e6i 0.0777159 0.515611i
\(235\) 1.19318e7 + 4.68290e6i 0.919399 + 0.360837i
\(236\) 3.29976e6 + 1.58908e6i 0.251042 + 0.120895i
\(237\) 153980. 319743.i 0.0115670 0.0240191i
\(238\) −2.67698e6 + 6.82084e6i −0.198571 + 0.505950i
\(239\) −1.75147e7 2.63991e6i −1.28294 0.193373i −0.528047 0.849215i \(-0.677075\pi\)
−0.754898 + 0.655842i \(0.772314\pi\)
\(240\) −4.31046e6 + 2.93882e6i −0.311810 + 0.212588i
\(241\) −4.82804e6 + 1.56521e7i −0.344921 + 1.11821i 0.602473 + 0.798139i \(0.294182\pi\)
−0.947394 + 0.320068i \(0.896294\pi\)
\(242\) −1.38688e7 + 3.16546e6i −0.978572 + 0.223353i
\(243\) 9.60356e6 3.76912e6i 0.669288 0.262676i
\(244\) −759280. 56900.2i −0.0522676 0.00391692i
\(245\) 1.12055e7 1.20767e7i 0.761964 0.821202i
\(246\) 156397. + 106630.i 0.0105057 + 0.00716264i
\(247\) −2.42227e6 + 1.93169e6i −0.160743 + 0.128188i
\(248\) 1.54854e7 + 1.66892e7i 1.01523 + 1.09416i
\(249\) −860730. 5.71057e6i −0.0557531 0.369898i
\(250\) −2.71156e6 + 1.18801e7i −0.173540 + 0.760328i
\(251\) −4.55421e6 + 7.88812e6i −0.288000 + 0.498830i −0.973332 0.229400i \(-0.926323\pi\)
0.685333 + 0.728230i \(0.259657\pi\)
\(252\) −879036. + 507511.i −0.0549294 + 0.0317135i
\(253\) 3.38482e7 1.04408e7i 2.09013 0.644720i
\(254\) −8.68360e6 6.92494e6i −0.529906 0.422586i
\(255\) −762688. 1.01774e7i −0.0459967 0.613783i
\(256\) −1.17068e7 + 5.63768e6i −0.697777 + 0.336032i
\(257\) 2.32351e7i 1.36882i −0.729098 0.684409i \(-0.760060\pi\)
0.729098 0.684409i \(-0.239940\pi\)
\(258\) −3.90302e6 3.31123e6i −0.227270 0.192810i
\(259\) −8.21956e6 −0.473096
\(260\) −1.25111e6 2.59795e6i −0.0711827 0.147812i
\(261\) −1.17956e7 + 883962.i −0.663438 + 0.0497178i
\(262\) 6.60251e6 8.27928e6i 0.367118 0.460351i
\(263\) −8.93210e6 2.89572e7i −0.491005 1.59180i −0.774334 0.632778i \(-0.781915\pi\)
0.283328 0.959023i \(-0.408561\pi\)
\(264\) 2.72182e6 + 4.71433e6i 0.147927 + 0.256217i
\(265\) 2.20950e7 + 1.27565e7i 1.18729 + 0.685480i
\(266\) 2.11217e6 + 482089.i 0.112224 + 0.0256143i
\(267\) −1.80825e6 + 272550.i −0.0950004 + 0.0143190i
\(268\) −1.57652e6 + 1.46280e6i −0.0819022 + 0.0759941i
\(269\) −803055. 1.00700e6i −0.0412561 0.0517336i 0.760775 0.649015i \(-0.224819\pi\)
−0.802032 + 0.597282i \(0.796247\pi\)
\(270\) 7.60529e6 1.11549e7i 0.386389 0.566728i
\(271\) −1.26281e7 1.17172e7i −0.634498 0.588728i 0.295927 0.955211i \(-0.404372\pi\)
−0.930425 + 0.366482i \(0.880562\pi\)
\(272\) 3.53499e6 4.71712e7i 0.175664 2.34407i
\(273\) −238662. 608101.i −0.0117299 0.0298874i
\(274\) 3.24898e6 + 1.42347e7i 0.157941 + 0.691985i
\(275\) −1.15024e7 3.54801e6i −0.553082 0.170603i
\(276\) 1.37985e6 + 2.02387e6i 0.0656303 + 0.0962620i
\(277\) 209957. 1.39298e6i 0.00987852 0.0655397i −0.983348 0.181730i \(-0.941830\pi\)
0.993227 + 0.116191i \(0.0370683\pi\)
\(278\) 1.11933e7 + 4.39304e6i 0.520983 + 0.204471i
\(279\) −3.32798e7 1.60267e7i −1.53239 0.737959i
\(280\) 2.27709e6 4.72842e6i 0.103730 0.215398i
\(281\) −331813. + 845446.i −0.0149546 + 0.0381037i −0.938156 0.346213i \(-0.887468\pi\)
0.923201 + 0.384316i \(0.125563\pi\)
\(282\) 5.47549e6 + 825298.i 0.244161 + 0.0368013i
\(283\) −6.17232e6 + 4.20821e6i −0.272326 + 0.185669i −0.691781 0.722108i \(-0.743174\pi\)
0.419455 + 0.907776i \(0.362221\pi\)
\(284\) 2.79076e6 9.04744e6i 0.121834 0.394976i
\(285\) −2.94194e6 + 671478.i −0.127086 + 0.0290066i
\(286\) −1.67684e7 + 6.58110e6i −0.716792 + 0.281320i
\(287\) −246992. 18509.5i −0.0104481 0.000782977i
\(288\) 8.16952e6 8.80465e6i 0.341994 0.368582i
\(289\) 5.65162e7 + 3.85321e7i 2.34142 + 1.59635i
\(290\) −1.83715e7 + 1.46508e7i −0.753269 + 0.600712i
\(291\) −1.06987e6 1.15304e6i −0.0434161 0.0467914i
\(292\) −1.44285e6 9.57266e6i −0.0579524 0.384489i
\(293\) 1.19190e6 5.22204e6i 0.0473844 0.207605i −0.945694 0.325058i \(-0.894616\pi\)
0.993078 + 0.117454i \(0.0374732\pi\)
\(294\) 3.55851e6 6.16352e6i 0.140032 0.242542i
\(295\) 2.66074e7 1.53618e7i 1.03642 0.598379i
\(296\) 3.89826e7 1.20245e7i 1.50313 0.463653i
\(297\) −1.43263e7 1.14248e7i −0.546844 0.436093i
\(298\) 513398. + 6.85082e6i 0.0194002 + 0.258877i
\(299\) 1.90079e7 9.15373e6i 0.711084 0.342440i
\(300\) 832394.i 0.0308294i
\(301\) 6.58928e6 + 1.19872e6i 0.241623 + 0.0439559i
\(302\) 8.30001e6 0.301341
\(303\) 1.00458e6 + 2.08604e6i 0.0361125 + 0.0749884i
\(304\) −1.39472e7 + 1.04520e6i −0.496439 + 0.0372029i
\(305\) −3.98242e6 + 4.99380e6i −0.140361 + 0.176008i
\(306\) 1.73915e7 + 5.63818e7i 0.606977 + 1.96777i
\(307\) −7.46659e6 1.29325e7i −0.258052 0.446959i 0.707668 0.706545i \(-0.249747\pi\)
−0.965720 + 0.259586i \(0.916414\pi\)
\(308\) 2.37006e6 + 1.36835e6i 0.0811160 + 0.0468323i
\(309\) 956031. + 218208.i 0.0324038 + 0.00739597i
\(310\) −7.25582e7 + 1.09364e7i −2.43558 + 0.367104i
\(311\) 1.15441e7 1.07114e7i 0.383777 0.356093i −0.464567 0.885538i \(-0.653790\pi\)
0.848345 + 0.529445i \(0.177600\pi\)
\(312\) 2.02149e6 + 2.53487e6i 0.0665592 + 0.0834627i
\(313\) −2.18343e7 + 3.20251e7i −0.712044 + 1.04438i 0.284283 + 0.958740i \(0.408245\pi\)
−0.996327 + 0.0856358i \(0.972708\pi\)
\(314\) 1.38719e7 + 1.28713e7i 0.448073 + 0.415751i
\(315\) −636314. + 8.49102e6i −0.0203582 + 0.271662i
\(316\) 323509. + 824288.i 0.0102524 + 0.0261227i
\(317\) −1.07806e7 4.72331e7i −0.338429 1.48275i −0.802338 0.596870i \(-0.796411\pi\)
0.463909 0.885883i \(-0.346446\pi\)
\(318\) 1.05320e7 + 3.24869e6i 0.327514 + 0.101025i
\(319\) 1.79657e7 + 2.63509e7i 0.553443 + 0.811752i
\(320\) −3.43361e6 + 2.27805e7i −0.104785 + 0.695205i
\(321\) 7.98684e6 + 3.13461e6i 0.241468 + 0.0947693i
\(322\) −1.32918e7 6.40097e6i −0.398121 0.191725i
\(323\) 1.18716e7 2.46516e7i 0.352291 0.731539i
\(324\) −2.74628e6 + 6.99740e6i −0.0807438 + 0.205732i
\(325\) −7.08923e6 1.06853e6i −0.206514 0.0311269i
\(326\) −1.45658e7 + 9.93080e6i −0.420418 + 0.286636i
\(327\) −1.96599e6 + 6.37359e6i −0.0562262 + 0.182281i
\(328\) 1.19848e6 273545.i 0.0339632 0.00775187i
\(329\) −6.74478e6 + 2.64713e6i −0.189400 + 0.0743341i
\(330\) −1.74959e7 1.31114e6i −0.486849 0.0364843i
\(331\) −1.03042e6 + 1.11053e6i −0.0284140 + 0.0306230i −0.747099 0.664713i \(-0.768554\pi\)
0.718685 + 0.695336i \(0.244744\pi\)
\(332\) 1.19058e7 + 8.11726e6i 0.325346 + 0.221817i
\(333\) −5.17475e7 + 4.12673e7i −1.40138 + 1.11757i
\(334\) −3.15142e7 3.39643e7i −0.845800 0.911555i
\(335\) 2.68890e6 + 1.78397e7i 0.0715221 + 0.474518i
\(336\) 656220. 2.87509e6i 0.0172994 0.0757938i
\(337\) 2.58020e7 4.46904e7i 0.674161 1.16768i −0.302553 0.953133i \(-0.597839\pi\)
0.976713 0.214548i \(-0.0688279\pi\)
\(338\) 2.85068e7 1.64584e7i 0.738242 0.426224i
\(339\) −1.27037e7 + 3.91856e6i −0.326084 + 0.100584i
\(340\) 1.99095e7 + 1.58773e7i 0.506552 + 0.403962i
\(341\) 7.44251e6 + 9.93134e7i 0.187696 + 2.50464i
\(342\) 1.57179e7 7.56933e6i 0.392930 0.189225i
\(343\) 1.92231e7i 0.476365i
\(344\) −3.30043e7 + 3.95446e6i −0.810766 + 0.0971432i
\(345\) 2.05483e7 0.500402
\(346\) 2.24025e7 + 4.65193e7i 0.540840 + 1.12307i
\(347\) −1.07709e7 + 807168.i −0.257789 + 0.0193186i −0.202997 0.979179i \(-0.565068\pi\)
−0.0547911 + 0.998498i \(0.517449\pi\)
\(348\) −1.37507e6 + 1.72428e6i −0.0326277 + 0.0409139i
\(349\) 4.80854e6 + 1.55889e7i 0.113119 + 0.366724i 0.994375 0.105916i \(-0.0337774\pi\)
−0.881256 + 0.472640i \(0.843301\pi\)
\(350\) 2.50666e6 + 4.34166e6i 0.0584643 + 0.101263i
\(351\) −9.45156e6 5.45686e6i −0.218566 0.126189i
\(352\) −3.15720e7 7.20610e6i −0.723893 0.165224i
\(353\) −3.76949e7 + 5.68160e6i −0.856957 + 0.129165i −0.562801 0.826592i \(-0.690276\pi\)
−0.294155 + 0.955758i \(0.595038\pi\)
\(354\) 9.72952e6 9.02767e6i 0.219322 0.203501i
\(355\) −4.95212e7 6.20976e7i −1.10689 1.38800i
\(356\) 2.57033e6 3.76998e6i 0.0569691 0.0835583i
\(357\) 4.22909e6 + 3.92402e6i 0.0929484 + 0.0862435i
\(358\) 5.23111e6 6.98043e7i 0.114010 1.52136i
\(359\) −2.21882e7 5.65346e7i −0.479555 1.22189i −0.942112 0.335297i \(-0.891163\pi\)
0.462557 0.886590i \(-0.346932\pi\)
\(360\) −9.40383e6 4.12009e7i −0.201557 0.883077i
\(361\) 3.72252e7 + 1.14825e7i 0.791254 + 0.244070i
\(362\) −3.85870e7 5.65967e7i −0.813421 1.19307i
\(363\) −1.66932e6 + 1.10752e7i −0.0348996 + 0.231544i
\(364\) 1.51730e6 + 595497.i 0.0314607 + 0.0123474i
\(365\) −7.31679e7 3.52358e7i −1.50467 0.724612i
\(366\) −1.19723e6 + 2.48607e6i −0.0244193 + 0.0507072i
\(367\) −2.32522e7 + 5.92455e7i −0.470398 + 1.19855i 0.477117 + 0.878840i \(0.341682\pi\)
−0.947514 + 0.319714i \(0.896413\pi\)
\(368\) 9.41761e7 + 1.41948e7i 1.88972 + 0.284829i
\(369\) −1.64791e6 + 1.12352e6i −0.0327984 + 0.0223616i
\(370\) −3.87553e7 + 1.25642e8i −0.765113 + 2.48044i
\(371\) −1.40603e7 + 3.20918e6i −0.275343 + 0.0628452i
\(372\) −6.41091e6 + 2.51610e6i −0.124535 + 0.0488763i
\(373\) 6.65815e7 + 4.98959e6i 1.28300 + 0.0961476i 0.698715 0.715400i \(-0.253756\pi\)
0.584286 + 0.811548i \(0.301375\pi\)
\(374\) 1.08205e8 1.16617e8i 2.06839 2.22919i
\(375\) 7.92718e6 + 5.40466e6i 0.150323 + 0.102488i
\(376\) 2.81157e7 2.24215e7i 0.528914 0.421794i
\(377\) 1.29200e7 + 1.39245e7i 0.241123 + 0.259869i
\(378\) 1.13744e6 + 7.54645e6i 0.0210598 + 0.139723i
\(379\) 4.77568e6 2.09236e7i 0.0877238 0.384343i −0.911939 0.410327i \(-0.865415\pi\)
0.999662 + 0.0259836i \(0.00827177\pi\)
\(380\) 3.76467e6 6.52060e6i 0.0686083 0.118833i
\(381\) −7.57324e6 + 4.37241e6i −0.136933 + 0.0790581i
\(382\) −7.50769e6 + 2.31581e6i −0.134684 + 0.0415445i
\(383\) −6.52971e7 5.20727e7i −1.16225 0.926859i −0.164022 0.986457i \(-0.552447\pi\)
−0.998223 + 0.0595971i \(0.981018\pi\)
\(384\) 1.34667e6 + 1.79701e7i 0.0237831 + 0.317363i
\(385\) 2.06842e7 9.96097e6i 0.362456 0.174550i
\(386\) 2.33790e7i 0.406503i
\(387\) 4.75021e7 2.55356e7i 0.819559 0.440567i
\(388\) 3.92471e6 0.0671911
\(389\) 1.15966e7 + 2.40806e7i 0.197007 + 0.409089i 0.975947 0.218010i \(-0.0699565\pi\)
−0.778940 + 0.627099i \(0.784242\pi\)
\(390\) −1.04205e7 + 780910.i −0.175669 + 0.0131646i
\(391\) −1.16167e8 + 1.45668e8i −1.94335 + 2.43688i
\(392\) −1.36236e7 4.41668e7i −0.226170 0.733225i
\(393\) −4.16883e6 7.22063e6i −0.0686810 0.118959i
\(394\) 4.43432e7 + 2.56016e7i 0.725000 + 0.418579i
\(395\) 7.24203e6 + 1.65295e6i 0.117509 + 0.0268205i
\(396\) 2.17910e7 3.28447e6i 0.350907 0.0528907i
\(397\) 4.03695e7 3.74574e7i 0.645181 0.598641i −0.288181 0.957576i \(-0.593051\pi\)
0.933363 + 0.358935i \(0.116860\pi\)
\(398\) 7.69772e6 + 9.65263e6i 0.122099 + 0.153108i
\(399\) 960896. 1.40938e6i 0.0151272 0.0221875i
\(400\) −2.37250e7 2.20136e7i −0.370703 0.343962i
\(401\) 3.61804e6 4.82793e7i 0.0561099 0.748735i −0.896209 0.443632i \(-0.853690\pi\)
0.952319 0.305104i \(-0.0986911\pi\)
\(402\) 2.84740e6 + 7.25505e6i 0.0438298 + 0.111677i
\(403\) 1.31992e7 + 5.78295e7i 0.201666 + 0.883557i
\(404\) −5.52043e6 1.70283e6i −0.0837199 0.0258242i
\(405\) 3.55223e7 + 5.21017e7i 0.534732 + 0.784308i
\(406\) 1.97971e6 1.31345e7i 0.0295817 0.196262i
\(407\) 1.66119e8 + 6.51969e7i 2.46397 + 0.967039i
\(408\) −2.57976e7 1.24235e7i −0.379839 0.182921i
\(409\) 1.84984e7 3.84124e7i 0.270374 0.561437i −0.720933 0.693004i \(-0.756287\pi\)
0.991307 + 0.131567i \(0.0420009\pi\)
\(410\) −1.44750e6 + 3.68817e6i −0.0210023 + 0.0535130i
\(411\) 1.13674e7 + 1.71336e6i 0.163733 + 0.0246788i
\(412\) −2.02163e6 + 1.37832e6i −0.0289075 + 0.0197088i
\(413\) −5.11910e6 + 1.65957e7i −0.0726681 + 0.235584i
\(414\) −1.15817e8 + 2.64345e7i −1.63219 + 0.372538i
\(415\) 1.12524e8 4.41624e7i 1.57435 0.617886i
\(416\) −1.92339e7 1.44138e6i −0.267170 0.0200216i
\(417\) 6.43948e6 6.94011e6i 0.0888061 0.0957102i
\(418\) −3.88635e7 2.64967e7i −0.532124 0.362796i
\(419\) 2.63279e7 2.09958e7i 0.357910 0.285424i −0.427982 0.903787i \(-0.640775\pi\)
0.785892 + 0.618364i \(0.212204\pi\)
\(420\) 1.07982e6 + 1.16377e6i 0.0145749 + 0.0157080i
\(421\) −7.62333e6 5.05775e7i −0.102164 0.677815i −0.980021 0.198892i \(-0.936266\pi\)
0.877857 0.478923i \(-0.158973\pi\)
\(422\) −4.78749e6 + 2.09754e7i −0.0637046 + 0.279108i
\(423\) −2.91726e7 + 5.05284e7i −0.385437 + 0.667597i
\(424\) 6.19886e7 3.57891e7i 0.813231 0.469519i
\(425\) 6.05017e7 1.86623e7i 0.788136 0.243108i
\(426\) −2.68262e7 2.13932e7i −0.347001 0.276724i
\(427\) −269820. 3.60050e6i −0.00346570 0.0462465i
\(428\) −1.92882e7 + 9.28869e6i −0.246014 + 0.118474i
\(429\) 1.41829e7i 0.179636i
\(430\) 4.93917e7 9.50697e7i 0.621225 1.19574i
\(431\) −5.78602e7 −0.722683 −0.361342 0.932433i \(-0.617681\pi\)
−0.361342 + 0.932433i \(0.617681\pi\)
\(432\) −2.13767e7 4.43891e7i −0.265148 0.550586i
\(433\) −1.35101e8 + 1.01244e7i −1.66416 + 0.124711i −0.873265 0.487246i \(-0.838002\pi\)
−0.790891 + 0.611957i \(0.790382\pi\)
\(434\) 2.58615e7 3.24293e7i 0.316363 0.396706i
\(435\) 5.45327e6 + 1.76791e7i 0.0662505 + 0.214779i
\(436\) −8.32122e6 1.44128e7i −0.100399 0.173896i
\(437\) 4.77080e7 + 2.75443e7i 0.571672 + 0.330055i
\(438\) −3.42033e7 7.80668e6i −0.407048 0.0929060i
\(439\) −1.27046e8 + 1.91491e7i −1.50165 + 0.226337i −0.847810 0.530300i \(-0.822079\pi\)
−0.653836 + 0.756637i \(0.726841\pi\)
\(440\) −8.35258e7 + 7.75006e7i −0.980534 + 0.909803i
\(441\) 4.67553e7 + 5.86293e7i 0.545149 + 0.683595i
\(442\) 5.33747e7 7.82864e7i 0.618115 0.906608i
\(443\) −3.73060e7 3.46149e7i −0.429109 0.398155i 0.435832 0.900028i \(-0.356454\pi\)
−0.864941 + 0.501873i \(0.832644\pi\)
\(444\) −922209. + 1.23060e7i −0.0105361 + 0.140595i
\(445\) −1.39840e7 3.56307e7i −0.158691 0.404338i
\(446\) 1.63090e7 + 7.14546e7i 0.183833 + 0.805426i
\(447\) 5.16877e6 + 1.59435e6i 0.0578714 + 0.0178510i
\(448\) −7.33596e6 1.07599e7i −0.0815873 0.119667i
\(449\) 2.21685e7 1.47078e8i 0.244904 1.62483i −0.441254 0.897382i \(-0.645466\pi\)
0.686159 0.727452i \(-0.259296\pi\)
\(450\) 3.75788e7 + 1.47486e7i 0.412388 + 0.161850i
\(451\) 4.84494e6 + 2.33320e6i 0.0528152 + 0.0254345i
\(452\) 1.43925e7 2.98862e7i 0.155855 0.323635i
\(453\) 2.38749e6 6.08323e6i 0.0256831 0.0654394i
\(454\) −1.40233e8 2.11368e7i −1.49859 0.225876i
\(455\) 1.12976e7 7.70259e6i 0.119937 0.0817716i
\(456\) −2.49540e6 + 8.08989e6i −0.0263176 + 0.0853195i
\(457\) 3.42872e7 7.82584e6i 0.359239 0.0819940i −0.0390921 0.999236i \(-0.512447\pi\)
0.398331 + 0.917242i \(0.369589\pi\)
\(458\) 1.10214e7 4.32557e6i 0.114720 0.0450243i
\(459\) 9.61133e7 + 7.20270e6i 0.993907 + 0.0744830i
\(460\) −3.48733e7 + 3.75844e7i −0.358277 + 0.386131i
\(461\) 1.06632e8 + 7.27002e7i 1.08839 + 0.742049i 0.968068 0.250686i \(-0.0806562\pi\)
0.120318 + 0.992735i \(0.461609\pi\)
\(462\) 7.75400e6 6.18361e6i 0.0786321 0.0627070i
\(463\) 1.25394e7 + 1.35143e7i 0.126338 + 0.136160i 0.793053 0.609153i \(-0.208490\pi\)
−0.666714 + 0.745313i \(0.732300\pi\)
\(464\) 1.27805e7 + 8.47929e7i 0.127936 + 0.848800i
\(465\) −1.28558e7 + 5.63251e7i −0.127862 + 0.560200i
\(466\) −9.46160e7 + 1.63880e8i −0.934990 + 1.61945i
\(467\) −1.07235e8 + 6.19124e7i −1.05290 + 0.607892i −0.923460 0.383695i \(-0.874652\pi\)
−0.129441 + 0.991587i \(0.541318\pi\)
\(468\) 1.25422e7 3.86875e6i 0.122359 0.0377427i
\(469\) −7.97331e6 6.35850e6i −0.0772894 0.0616363i
\(470\) 8.66151e6 + 1.15580e8i 0.0834257 + 1.11324i
\(471\) 1.34238e7 6.46459e6i 0.128474 0.0618697i
\(472\) 8.61967e7i 0.819718i
\(473\) −1.23663e8 7.64920e7i −1.16857 0.722824i
\(474\) 3.20902e6 0.0301327
\(475\) −8.12244e6 1.68664e7i −0.0757889 0.157377i
\(476\) −1.43546e7 + 1.07573e6i −0.133098 + 0.00997431i
\(477\) −7.24069e7 + 9.07954e7i −0.667152 + 0.836583i
\(478\) −4.72087e7 1.53047e8i −0.432254 1.40133i
\(479\) 4.01145e7 + 6.94804e7i 0.365002 + 0.632202i 0.988776 0.149402i \(-0.0477349\pi\)
−0.623774 + 0.781604i \(0.714402\pi\)
\(480\) −1.62692e7 9.39301e6i −0.147110 0.0849339i
\(481\) 1.03623e8 + 2.36512e7i 0.931149 + 0.212529i
\(482\) −1.46458e8 + 2.20750e7i −1.30789 + 0.197133i
\(483\) −8.51475e6 + 7.90053e6i −0.0755667 + 0.0701157i
\(484\) −1.74244e7 2.18494e7i −0.153681 0.192710i
\(485\) 1.85465e7 2.72027e7i 0.162569 0.238445i
\(486\) 6.83844e7 + 6.34515e7i 0.595729 + 0.552755i
\(487\) −620935. + 8.28580e6i −0.00537600 + 0.0717378i −0.999246 0.0388129i \(-0.987642\pi\)
0.993870 + 0.110551i \(0.0352614\pi\)
\(488\) 6.54689e6 + 1.66812e7i 0.0563346 + 0.143538i
\(489\) 3.08862e6 + 1.35321e7i 0.0264142 + 0.115728i
\(490\) 1.42350e8 + 4.39093e7i 1.20996 + 0.373223i
\(491\) 1.81838e6 + 2.66707e6i 0.0153617 + 0.0225315i 0.833843 0.552002i \(-0.186136\pi\)
−0.818481 + 0.574533i \(0.805184\pi\)
\(492\) −55423.5 + 367711.i −0.000465370 + 0.00308753i
\(493\) −1.56157e8 6.12871e7i −1.30323 0.511479i
\(494\) −2.52406e7 1.21552e7i −0.209372 0.100828i
\(495\) 8.02101e7 1.66558e8i 0.661323 1.37325i
\(496\) −9.78294e7 + 2.49265e8i −0.801723 + 2.04276i
\(497\) 4.43960e7 + 6.69163e6i 0.361639 + 0.0545083i
\(498\) 4.31464e7 2.94167e7i 0.349347 0.238180i
\(499\) −2.14689e7 + 6.96006e7i −0.172786 + 0.560159i −0.999999 0.00173057i \(-0.999449\pi\)
0.827212 + 0.561889i \(0.189925\pi\)
\(500\) −2.33390e7 + 5.32697e6i −0.186712 + 0.0426158i
\(501\) −3.39581e7 + 1.33276e7i −0.270041 + 0.105983i
\(502\) −8.21312e7 6.15488e6i −0.649228 0.0486529i
\(503\) 1.13711e8 1.22551e8i 0.893505 0.962969i −0.106002 0.994366i \(-0.533805\pi\)
0.999507 + 0.0313968i \(0.00999555\pi\)
\(504\) 1.97379e7 + 1.34570e7i 0.154173 + 0.105113i
\(505\) −3.78898e7 + 3.02161e7i −0.294204 + 0.234619i
\(506\) 2.17857e8 + 2.34794e8i 1.68159 + 1.81232i
\(507\) −3.86271e6 2.56274e7i −0.0296393 0.196644i
\(508\) 4.85533e6 2.12726e7i 0.0370363 0.162267i
\(509\) −1.03112e8 + 1.78595e8i −0.781908 + 1.35430i 0.148920 + 0.988849i \(0.452420\pi\)
−0.930829 + 0.365456i \(0.880913\pi\)
\(510\) 7.99214e7 4.61427e7i 0.602494 0.347850i
\(511\) 4.38667e7 1.35311e7i 0.328755 0.101407i
\(512\) 3.47935e7 + 2.77469e7i 0.259232 + 0.206731i
\(513\) −2.12963e6 2.84180e7i −0.0157744 0.210495i
\(514\) 1.89294e8 9.11590e7i 1.39395 0.671290i
\(515\) 2.05256e7i 0.150271i
\(516\) 2.53397e6 9.73074e6i 0.0184439 0.0708267i
\(517\) 1.57310e8 1.13837
\(518\) −3.22480e7 6.69637e7i −0.232014 0.481782i
\(519\) 4.05389e7 3.03797e6i 0.289981 0.0217311i
\(520\) −4.23125e7 + 5.30582e7i −0.300925 + 0.377348i
\(521\) 2.96421e7 + 9.60974e7i 0.209602 + 0.679514i 0.997933 + 0.0642625i \(0.0204695\pi\)
−0.788331 + 0.615252i \(0.789054\pi\)
\(522\) −5.34797e7 9.26296e7i −0.375991 0.651236i
\(523\) −7.83726e7 4.52484e7i −0.547847 0.316299i 0.200406 0.979713i \(-0.435774\pi\)
−0.748253 + 0.663413i \(0.769107\pi\)
\(524\) 2.02821e7 + 4.62926e6i 0.140968 + 0.0321749i
\(525\) 3.90312e6 588300.i 0.0269733 0.00406557i
\(526\) 2.00867e8 1.86377e8i 1.38023 1.28066i
\(527\) −3.26613e8 4.09560e8i −2.23152 2.79824i
\(528\) −3.60673e7 + 5.29010e7i −0.245026 + 0.359387i
\(529\) −1.66469e8 1.54460e8i −1.12452 1.04340i
\(530\) −1.72401e7 + 2.30053e8i −0.115801 + 1.54526i
\(531\) 5.10927e7 + 1.30182e8i 0.341252 + 0.869496i
\(532\) 947084. + 4.14945e6i 0.00629004 + 0.0275585i
\(533\) 3.06053e6 + 944048.i 0.0202122 + 0.00623465i
\(534\) −9.31481e6 1.36623e7i −0.0611716 0.0897223i
\(535\) −2.67664e7 + 1.77584e8i −0.174795 + 1.15969i
\(536\) 4.71166e7 + 1.84919e7i 0.305971 + 0.120085i
\(537\) −4.96561e7 2.39131e7i −0.320663 0.154423i
\(538\) 5.05325e6 1.04932e7i 0.0324507 0.0673845i
\(539\) 7.38673e7 1.88211e8i 0.471722 1.20193i
\(540\) 2.62267e7 + 3.95304e6i 0.166557 + 0.0251044i
\(541\) 7.47152e7 5.09399e7i 0.471864 0.321712i −0.303934 0.952693i \(-0.598300\pi\)
0.775798 + 0.630982i \(0.217348\pi\)
\(542\) 4.59141e7 1.48850e8i 0.288369 0.934869i
\(543\) −5.25803e7 + 1.20011e7i −0.328415 + 0.0749586i
\(544\) 1.58563e8 6.22312e7i 0.984927 0.386555i
\(545\) −1.39220e8 1.04331e7i −0.860026 0.0644501i
\(546\) 4.01777e6 4.33013e6i 0.0246835 0.0266025i
\(547\) 1.12017e8 + 7.63719e7i 0.684419 + 0.466629i 0.854941 0.518725i \(-0.173593\pi\)
−0.170522 + 0.985354i \(0.554545\pi\)
\(548\) −2.24259e7 + 1.78841e7i −0.136273 + 0.108674i
\(549\) −1.97754e7 2.13128e7i −0.119511 0.128802i
\(550\) −1.62224e7 1.07628e8i −0.0975049 0.646902i
\(551\) −1.10370e7 + 4.83562e7i −0.0659775 + 0.289066i
\(552\) 2.88247e7 4.99259e7i 0.171375 0.296831i
\(553\) −3.63646e6 + 2.09951e6i −0.0215032 + 0.0124149i
\(554\) 1.21721e7 3.75461e6i 0.0715875 0.0220818i
\(555\) 8.09370e7 + 6.45451e7i 0.473444 + 0.377559i
\(556\) 1.76532e6 + 2.35566e7i 0.0102707 + 0.137053i
\(557\) 2.13886e8 1.03002e8i 1.23770 0.596046i 0.303515 0.952827i \(-0.401840\pi\)
0.934188 + 0.356781i \(0.116126\pi\)
\(558\) 3.34005e8i 1.92243i
\(559\) −7.96207e7 3.40722e7i −0.455817 0.195058i
\(560\) 6.17270e7 0.351489
\(561\) −5.43457e7 1.12850e8i −0.307806 0.639165i
\(562\) −8.18955e6 + 613722.i −0.0461372 + 0.00345751i
\(563\) 1.06960e8 1.34123e8i 0.599371 0.751588i −0.385909 0.922537i \(-0.626112\pi\)
0.985280 + 0.170949i \(0.0546834\pi\)
\(564\) 3.20644e6 + 1.03950e7i 0.0178725 + 0.0579414i
\(565\) −1.39133e8 2.40986e8i −0.771412 1.33612i
\(566\) −5.84998e7 3.37749e7i −0.322630 0.186271i
\(567\) −3.47519e7 7.93190e6i −0.190647 0.0435139i
\(568\) −2.20345e8 + 3.32116e7i −1.20242 + 0.181236i
\(569\) −4.72830e7 + 4.38722e7i −0.256666 + 0.238151i −0.798002 0.602655i \(-0.794109\pi\)
0.541335 + 0.840807i \(0.317919\pi\)
\(570\) −1.70126e7 2.13332e7i −0.0918643 0.115194i
\(571\) 1.96752e7 2.88582e7i 0.105684 0.155011i −0.769753 0.638341i \(-0.779621\pi\)
0.875438 + 0.483331i \(0.160573\pi\)
\(572\) −2.59416e7 2.40702e7i −0.138614 0.128615i
\(573\) −462277. + 6.16866e6i −0.00245719 + 0.0327889i
\(574\) −818237. 2.08483e6i −0.00432656 0.0110239i
\(575\) 2.83661e7 + 1.24280e8i 0.149210 + 0.653730i
\(576\) −1.00206e8 3.09094e7i −0.524355 0.161742i
\(577\) −6.97329e7 1.02279e8i −0.363003 0.532428i 0.600675 0.799493i \(-0.294898\pi\)
−0.963678 + 0.267065i \(0.913946\pi\)
\(578\) −9.21845e7 + 6.11604e8i −0.477391 + 3.16728i
\(579\) −1.71349e7 6.72494e6i −0.0882765 0.0346460i
\(580\) −4.15912e7 2.00293e7i −0.213166 0.102655i
\(581\) −2.96475e7 + 6.15637e7i −0.151168 + 0.313904i
\(582\) 5.19625e6 1.32398e7i 0.0263585 0.0671605i
\(583\) 3.09617e8 + 4.66673e7i 1.56250 + 0.235509i
\(584\) −1.88250e8 + 1.28347e8i −0.945140 + 0.644386i
\(585\) 3.24542e7 1.05214e8i 0.162107 0.525539i
\(586\) 4.72195e7 1.07775e7i 0.234654 0.0535583i
\(587\) 3.62198e7 1.42152e7i 0.179073 0.0702812i −0.274110 0.961698i \(-0.588383\pi\)
0.453184 + 0.891417i \(0.350288\pi\)
\(588\) 1.39426e7 + 1.04485e6i 0.0685822 + 0.00513952i
\(589\) −1.05350e8 + 1.13540e8i −0.515569 + 0.555651i
\(590\) 2.29540e8 + 1.56498e8i 1.11764 + 0.761996i
\(591\) 3.15191e7 2.51357e7i 0.152690 0.121766i
\(592\) 3.26359e8 + 3.51731e8i 1.57300 + 1.69530i
\(593\) −4.38438e7 2.90884e8i −0.210254 1.39494i −0.806069 0.591821i \(-0.798409\pi\)
0.595816 0.803121i \(-0.296829\pi\)
\(594\) 3.68699e7 1.61537e8i 0.175919 0.770751i
\(595\) −6.03780e7 + 1.04578e8i −0.286634 + 0.496464i
\(596\) −1.16883e7 + 6.74823e6i −0.0552092 + 0.0318750i
\(597\) 9.28883e6 2.86522e6i 0.0436554 0.0134659i
\(598\) 1.49149e8 + 1.18942e8i 0.697454 + 0.556201i
\(599\) 3.87979e6 + 5.17723e7i 0.0180521 + 0.240889i 0.998929 + 0.0462614i \(0.0147307\pi\)
−0.980877 + 0.194627i \(0.937650\pi\)
\(600\) −1.76505e7 + 8.50004e6i −0.0817153 + 0.0393520i
\(601\) 8.92168e7i 0.410982i 0.978659 + 0.205491i \(0.0658792\pi\)
−0.978659 + 0.205491i \(0.934121\pi\)
\(602\) 1.60861e7 + 5.83850e7i 0.0737330 + 0.267616i
\(603\) −8.21208e7 −0.374543
\(604\) 7.07478e6 + 1.46909e7i 0.0321072 + 0.0666713i
\(605\) −2.33782e8 + 1.75195e7i −1.05571 + 0.0791146i
\(606\) −1.30534e7 + 1.63684e7i −0.0586550 + 0.0735510i
\(607\) 8.05160e6 + 2.61026e7i 0.0360011 + 0.116713i 0.971790 0.235849i \(-0.0757870\pi\)
−0.935789 + 0.352561i \(0.885311\pi\)
\(608\) −2.51819e7 4.36164e7i −0.112041 0.194061i
\(609\) −9.05705e6 5.22909e6i −0.0400991 0.0231512i
\(610\) −5.63082e7 1.28520e7i −0.248075 0.0566214i
\(611\) 9.26472e7 1.39643e7i 0.406171 0.0612204i
\(612\) −8.49710e7 + 7.88416e7i −0.370695 + 0.343954i
\(613\) 2.14653e8 + 2.69166e8i 0.931871 + 1.16853i 0.985450 + 0.169966i \(0.0543656\pi\)
−0.0535791 + 0.998564i \(0.517063\pi\)
\(614\) 7.60657e7 1.11568e8i 0.328612 0.481986i
\(615\) 2.28675e6 + 2.12180e6i 0.00983091 + 0.00912175i
\(616\) 4.81329e6 6.42289e7i 0.0205921 0.274782i
\(617\) −2.49606e7 6.35986e7i −0.106267 0.270765i 0.867843 0.496839i \(-0.165506\pi\)
−0.974110 + 0.226074i \(0.927411\pi\)
\(618\) 1.97311e6 + 8.64477e6i 0.00835961 + 0.0366259i
\(619\) 3.14171e8 + 9.69089e7i 1.32463 + 0.408594i 0.874784 0.484513i \(-0.161003\pi\)
0.449845 + 0.893107i \(0.351479\pi\)
\(620\) −8.12047e7 1.19105e8i −0.340726 0.499754i
\(621\) −2.89224e7 + 1.91888e8i −0.120770 + 0.801258i
\(622\) 1.32555e8 + 5.20242e7i 0.550841 + 0.216189i
\(623\) 1.94942e7 + 9.38789e6i 0.0806195 + 0.0388243i
\(624\) −1.65457e7 + 3.43575e7i −0.0680976 + 0.141406i
\(625\) −1.10940e8 + 2.82670e8i −0.454410 + 1.15782i
\(626\) −3.46567e8 5.22366e7i −1.41275 0.212937i
\(627\) −3.05990e7 + 2.08620e7i −0.124138 + 0.0846357i
\(628\) −1.09578e7 + 3.55245e7i −0.0442432 + 0.143433i
\(629\) −9.15127e8 + 2.08872e8i −3.67730 + 0.839321i
\(630\) −7.16717e7 + 2.81291e7i −0.286633 + 0.112495i
\(631\) 5.92671e7 + 4.44146e6i 0.235899 + 0.0176782i 0.192155 0.981365i \(-0.438452\pi\)
0.0437439 + 0.999043i \(0.486071\pi\)
\(632\) 1.41751e7 1.52771e7i 0.0561532 0.0605188i
\(633\) 1.39961e7 + 9.54239e6i 0.0551818 + 0.0376223i
\(634\) 3.42506e8 2.73140e8i 1.34400 1.07181i
\(635\) −1.24499e8 1.34178e8i −0.486235 0.524037i
\(636\) 3.22714e6 + 2.14107e7i 0.0125443 + 0.0832260i
\(637\) 2.67965e7 1.17403e8i 0.103672 0.454215i
\(638\) −1.44192e8 + 2.49748e8i −0.555238 + 0.961701i
\(639\) 3.13098e8 1.80767e8i 1.19999 0.692815i
\(640\) −3.60435e8 + 1.11179e8i −1.37495 + 0.424116i
\(641\) 1.75095e8 + 1.39634e8i 0.664813 + 0.530171i 0.896737 0.442563i \(-0.145931\pi\)
−0.231924 + 0.972734i \(0.574502\pi\)
\(642\) 5.79777e6 + 7.73659e7i 0.0219107 + 0.292378i
\(643\) −3.50100e8 + 1.68599e8i −1.31692 + 0.634194i −0.954608 0.297863i \(-0.903726\pi\)
−0.362310 + 0.932058i \(0.618012\pi\)
\(644\) 2.89824e7i 0.108512i
\(645\) −5.54708e7 6.35468e7i −0.206721 0.236818i
\(646\) 2.47410e8 0.917739
\(647\) 1.19547e8 + 2.48243e8i 0.441395 + 0.916566i 0.996405 + 0.0847219i \(0.0270002\pi\)
−0.555010 + 0.831844i \(0.687286\pi\)
\(648\) 1.76420e8 1.32209e7i 0.648371 0.0485887i
\(649\) 2.35094e8 2.94799e8i 0.860018 1.07843i
\(650\) −1.91082e7 6.19473e7i −0.0695792 0.225570i
\(651\) −1.63290e7 2.82827e7i −0.0591857 0.102513i
\(652\) −2.99930e7 1.73165e7i −0.108213 0.0624766i
\(653\) −3.54817e8 8.09846e7i −1.27428 0.290846i −0.468712 0.883351i \(-0.655282\pi\)
−0.805567 + 0.592505i \(0.798139\pi\)
\(654\) −5.96381e7 + 8.98900e6i −0.213202 + 0.0321350i
\(655\) 1.27931e8 1.18703e8i 0.455252 0.422412i
\(656\) 9.01479e6 + 1.13042e7i 0.0319333 + 0.0400431i
\(657\) 2.08235e8 3.05425e8i 0.734274 1.07698i
\(658\) −4.80278e7 4.45633e7i −0.168584 0.156423i
\(659\) −3.91427e7 + 5.22322e8i −0.136771 + 1.82508i 0.333714 + 0.942674i \(0.391698\pi\)
−0.470485 + 0.882408i \(0.655921\pi\)
\(660\) −1.25925e7 3.20852e7i −0.0438006 0.111602i
\(661\) 2.01571e7 + 8.83140e7i 0.0697949 + 0.305791i 0.997762 0.0668717i \(-0.0213018\pi\)
−0.927967 + 0.372663i \(0.878445\pi\)
\(662\) −1.30901e7 4.03775e6i −0.0451199 0.0139176i
\(663\) −4.20243e7 6.16383e7i −0.144198 0.211500i
\(664\) 5.05455e7 3.35347e8i 0.172655 1.14549i
\(665\) 3.32360e7 + 1.30442e7i 0.113017 + 0.0443559i
\(666\) −5.39222e8 2.59675e8i −1.82534 0.879039i
\(667\) 1.46544e8 3.04303e8i 0.493846 1.02548i
\(668\) 3.32543e7 8.47305e7i 0.111562 0.284256i
\(669\) 5.70616e7 + 8.60066e6i 0.190575 + 0.0287245i
\(670\) −1.34788e8 + 9.18970e7i −0.448154 + 0.305546i
\(671\) −2.31057e7 + 7.49070e7i −0.0764808 + 0.247945i
\(672\) 1.03530e7 2.36301e6i 0.0341162 0.00778679i
\(673\) 2.85489e8 1.12046e8i 0.936579 0.367580i 0.152544 0.988297i \(-0.451253\pi\)
0.784035 + 0.620717i \(0.213158\pi\)
\(674\) 4.65316e8 + 3.48706e7i 1.51974 + 0.113889i
\(675\) 4.48535e7 4.83406e7i 0.145843 0.157181i
\(676\) 5.34299e7 + 3.64279e7i 0.172960 + 0.117922i
\(677\) −3.09461e7 + 2.46787e7i −0.0997334 + 0.0795347i −0.672087 0.740472i \(-0.734602\pi\)
0.572354 + 0.820007i \(0.306030\pi\)
\(678\) −8.17646e7 8.81213e7i −0.262347 0.282743i
\(679\) 2.77381e6 + 1.84030e7i 0.00886070 + 0.0587869i
\(680\) 1.33364e8 5.84304e8i 0.424141 1.85828i
\(681\) −5.58295e7 + 9.66995e7i −0.176776 + 0.306184i
\(682\) −7.79894e8 + 4.50272e8i −2.45857 + 1.41946i
\(683\) 3.02932e8 9.34422e7i 0.950787 0.293279i 0.219703 0.975567i \(-0.429491\pi\)
0.731084 + 0.682288i \(0.239015\pi\)
\(684\) 2.67953e7 + 2.13685e7i 0.0837317 + 0.0667738i
\(685\) 1.79818e7 + 2.39950e8i 0.0559449 + 0.746533i
\(686\) −1.56608e8 + 7.54184e7i −0.485111 + 0.233617i
\(687\) 9.32201e6i 0.0287501i
\(688\) −2.10333e8 3.29563e8i −0.645865 1.01198i
\(689\) 1.86490e8 0.570163
\(690\) 8.06179e7 + 1.67405e8i 0.245405 + 0.509590i
\(691\) 1.02585e8 7.68767e6i 0.310920 0.0233002i 0.0816437 0.996662i \(-0.473983\pi\)
0.229277 + 0.973361i \(0.426364\pi\)
\(692\) −6.32433e7 + 7.93046e7i −0.190852 + 0.239320i
\(693\) 3.08019e7 + 9.98573e7i 0.0925503 + 0.300041i
\(694\) −4.88337e7 8.45824e7i −0.146097 0.253047i
\(695\) 1.71616e8 + 9.90828e7i 0.511216 + 0.295151i
\(696\) 5.06042e7 + 1.15501e7i 0.150092 + 0.0342576i
\(697\) −2.79693e7 + 4.21569e6i −0.0826006 + 0.0124500i
\(698\) −1.08135e8 + 1.00335e8i −0.317981 + 0.295043i
\(699\) 9.28942e7 + 1.16486e8i 0.271993 + 0.341068i
\(700\) −5.54806e6 + 8.13751e6i −0.0161751 + 0.0237245i
\(701\) −2.72695e8 2.53024e8i −0.791631 0.734526i 0.176681 0.984268i \(-0.443464\pi\)
−0.968313 + 0.249742i \(0.919654\pi\)
\(702\) 7.37479e6 9.84097e7i 0.0213176 0.284464i
\(703\) 1.01395e8 + 2.58350e8i 0.291844 + 0.743606i
\(704\) 6.29147e7 + 2.75647e8i 0.180316 + 0.790016i
\(705\) 8.72019e7 + 2.68982e7i 0.248862 + 0.0767638i
\(706\) −1.94177e8 2.84805e8i −0.551802 0.809345i
\(707\) 4.08299e6 2.70889e7i 0.0115537 0.0766537i
\(708\) 2.42722e7 + 9.52612e6i 0.0683926 + 0.0268421i
\(709\) −1.96091e8 9.44326e7i −0.550199 0.264962i 0.138064 0.990423i \(-0.455912\pi\)
−0.688263 + 0.725461i \(0.741626\pi\)
\(710\) 3.11614e8 6.47072e8i 0.870646 1.80791i
\(711\) −1.23531e7 + 3.14751e7i −0.0343689 + 0.0875706i
\(712\) −1.06188e8 1.60052e7i −0.294194 0.0443427i
\(713\) 8.71435e8 5.94134e8i 2.40418 1.63914i
\(714\) −1.53764e7 + 4.98490e7i −0.0422435 + 0.136950i
\(715\) −2.89424e8 + 6.60590e7i −0.791801 + 0.180723i
\(716\) 1.28012e8 5.02409e7i 0.348747 0.136873i
\(717\) −1.25750e8 9.42369e6i −0.341155 0.0255660i
\(718\) 3.73529e8 4.02568e8i 1.00914 1.08759i
\(719\) −2.35905e8 1.60838e8i −0.634675 0.432714i 0.202777 0.979225i \(-0.435003\pi\)
−0.837452 + 0.546511i \(0.815956\pi\)
\(720\) 3.88612e8 3.09908e8i 1.04116 0.830300i
\(721\) −7.89180e6 8.50533e6i −0.0210557 0.0226927i
\(722\) 5.25006e7 + 3.48319e8i 0.139493 + 0.925477i
\(723\) −2.59493e7 + 1.13692e8i −0.0686612 + 0.300825i
\(724\) 6.72848e7 1.16541e8i 0.177297 0.307087i
\(725\) −9.93983e7 + 5.73876e7i −0.260834 + 0.150593i
\(726\) −9.67778e7 + 2.98520e7i −0.252910 + 0.0780124i
\(727\) 4.52214e8 + 3.60629e8i 1.17690 + 0.938549i 0.998965 0.0454929i \(-0.0144858\pi\)
0.177938 + 0.984042i \(0.443057\pi\)
\(728\) −2.86679e6 3.82546e7i −0.00743021 0.0991493i
\(729\) −2.11758e8 + 1.01977e8i −0.546584 + 0.263221i
\(730\) 7.34331e8i 1.88766i
\(731\) 7.64081e8 3.39844e7i 1.95608 0.0870016i
\(732\) −5.42081e6 −0.0138207
\(733\) 1.43149e8 + 2.97253e8i 0.363478 + 0.754769i 0.999862 0.0166030i \(-0.00528516\pi\)
−0.636385 + 0.771372i \(0.719571\pi\)
\(734\) −5.73892e8 + 4.30072e7i −1.45125 + 0.108756i
\(735\) 7.31288e7 9.17006e7i 0.184173 0.230946i
\(736\) 1.01087e8 + 3.27717e8i 0.253550 + 0.821988i
\(737\) 1.10707e8 + 1.91750e8i 0.276550 + 0.478998i
\(738\) −1.56185e7 9.01733e6i −0.0388570 0.0224341i
\(739\) −4.88692e8 1.11541e8i −1.21088 0.276376i −0.431029 0.902338i \(-0.641849\pi\)
−0.779854 + 0.625962i \(0.784707\pi\)
\(740\) −2.55419e8 + 3.84982e7i −0.630315 + 0.0950047i
\(741\) −1.61692e7 + 1.50028e7i −0.0397406 + 0.0368739i
\(742\) −8.13081e7 1.01957e8i −0.199032 0.249578i
\(743\) −2.84427e8 + 4.17178e8i −0.693433 + 1.01708i 0.304481 + 0.952518i \(0.401517\pi\)
−0.997914 + 0.0645605i \(0.979435\pi\)
\(744\) 1.18818e8 + 1.10247e8i 0.288512 + 0.267700i
\(745\) −8.46087e6 + 1.12903e8i −0.0204619 + 0.273045i
\(746\) 2.20571e8 + 5.62007e8i 0.531291 + 1.35371i
\(747\) 1.22437e8 + 5.36432e8i 0.293732 + 1.28692i
\(748\) 2.98643e8 + 9.21191e7i 0.713588 + 0.220113i
\(749\) −5.71869e7 8.38778e7i −0.136098 0.199619i
\(750\) −1.29302e7 + 8.57860e7i −0.0306493 + 0.203345i
\(751\) −2.57284e8 1.00977e8i −0.607426 0.238397i 0.0416359 0.999133i \(-0.486743\pi\)
−0.649062 + 0.760736i \(0.724838\pi\)
\(752\) 3.81078e8 + 1.83518e8i 0.896108 + 0.431543i