Properties

Label 80.6.q.a.29.17
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.q (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.17
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.62558 + 4.34225i) q^{2} +(-3.49000 + 3.49000i) q^{3} +(-5.71035 - 31.4864i) q^{4} +(-25.3489 - 49.8240i) q^{5} +(-2.50120 - 27.8078i) q^{6} -221.972 q^{7} +(157.425 + 89.3605i) q^{8} +218.640i q^{9} +O(q^{10})\) \(q+(-3.62558 + 4.34225i) q^{2} +(-3.49000 + 3.49000i) q^{3} +(-5.71035 - 31.4864i) q^{4} +(-25.3489 - 49.8240i) q^{5} +(-2.50120 - 27.8078i) q^{6} -221.972 q^{7} +(157.425 + 89.3605i) q^{8} +218.640i q^{9} +(308.253 + 70.5698i) q^{10} +(337.646 - 337.646i) q^{11} +(129.817 + 89.9584i) q^{12} +(458.387 - 458.387i) q^{13} +(804.777 - 963.859i) q^{14} +(262.354 + 85.4185i) q^{15} +(-958.784 + 359.597i) q^{16} +2274.45i q^{17} +(-949.390 - 792.696i) q^{18} +(298.101 + 298.101i) q^{19} +(-1424.03 + 1082.66i) q^{20} +(774.683 - 774.683i) q^{21} +(241.983 + 2690.31i) q^{22} +3318.66 q^{23} +(-861.283 + 237.546i) q^{24} +(-1839.87 + 2525.96i) q^{25} +(328.515 + 3652.35i) q^{26} +(-1611.12 - 1611.12i) q^{27} +(1267.54 + 6989.09i) q^{28} +(-423.320 - 423.320i) q^{29} +(-1322.09 + 829.515i) q^{30} +770.338 q^{31} +(1914.69 - 5467.03i) q^{32} +2356.77i q^{33} +(-9876.26 - 8246.21i) q^{34} +(5626.74 + 11059.5i) q^{35} +(6884.17 - 1248.51i) q^{36} +(4085.27 + 4085.27i) q^{37} +(-2375.22 + 213.642i) q^{38} +3199.54i q^{39} +(461.755 - 10108.7i) q^{40} +3542.62i q^{41} +(555.197 + 6172.55i) q^{42} +(4215.82 + 4215.82i) q^{43} +(-12559.3 - 8703.17i) q^{44} +(10893.5 - 5542.27i) q^{45} +(-12032.1 + 14410.5i) q^{46} -16811.0i q^{47} +(2091.16 - 4601.15i) q^{48} +32464.6 q^{49} +(-4297.78 - 17147.3i) q^{50} +(-7937.85 - 7937.85i) q^{51} +(-17050.5 - 11815.4i) q^{52} +(785.216 + 785.216i) q^{53} +(12837.2 - 1154.65i) q^{54} +(-25381.8 - 8263.95i) q^{55} +(-34944.0 - 19835.5i) q^{56} -2080.75 q^{57} +(3372.94 - 303.383i) q^{58} +(298.109 - 298.109i) q^{59} +(1191.39 - 8748.34i) q^{60} +(31800.2 + 31800.2i) q^{61} +(-2792.92 + 3345.01i) q^{62} -48531.9i q^{63} +(16797.4 + 28135.2i) q^{64} +(-34458.3 - 11219.1i) q^{65} +(-10233.7 - 8544.66i) q^{66} +(41685.0 - 41685.0i) q^{67} +(71614.3 - 12987.9i) q^{68} +(-11582.1 + 11582.1i) q^{69} +(-68423.5 - 15664.5i) q^{70} +30062.8i q^{71} +(-19537.8 + 34419.4i) q^{72} +60262.6 q^{73} +(-32550.7 + 2927.81i) q^{74} +(-2394.47 - 15236.8i) q^{75} +(7683.87 - 11088.4i) q^{76} +(-74948.0 + 74948.0i) q^{77} +(-13893.2 - 11600.2i) q^{78} +2752.89 q^{79} +(42220.6 + 38655.1i) q^{80} -41883.8 q^{81} +(-15383.0 - 12844.1i) q^{82} +(-15332.2 + 15332.2i) q^{83} +(-28815.7 - 19968.3i) q^{84} +(113322. - 57654.8i) q^{85} +(-33591.0 + 3021.38i) q^{86} +2954.78 q^{87} +(83326.2 - 22981.8i) q^{88} -76595.2i q^{89} +(-15429.4 + 67396.4i) q^{90} +(-101749. + 101749. i) q^{91} +(-18950.7 - 104492. i) q^{92} +(-2688.48 + 2688.48i) q^{93} +(72997.6 + 60949.6i) q^{94} +(7296.09 - 22409.1i) q^{95} +(12397.7 + 25762.2i) q^{96} +138906. i q^{97} +(-117703. + 140969. i) q^{98} +(73822.8 + 73822.8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.62558 + 4.34225i −0.640918 + 0.767609i
\(3\) −3.49000 + 3.49000i −0.223884 + 0.223884i −0.810132 0.586248i \(-0.800604\pi\)
0.586248 + 0.810132i \(0.300604\pi\)
\(4\) −5.71035 31.4864i −0.178449 0.983949i
\(5\) −25.3489 49.8240i −0.453454 0.891280i
\(6\) −2.50120 27.8078i −0.0283642 0.315346i
\(7\) −221.972 −1.71219 −0.856097 0.516815i \(-0.827118\pi\)
−0.856097 + 0.516815i \(0.827118\pi\)
\(8\) 157.425 + 89.3605i 0.869660 + 0.493652i
\(9\) 218.640i 0.899752i
\(10\) 308.253 + 70.5698i 0.974781 + 0.223161i
\(11\) 337.646 337.646i 0.841356 0.841356i −0.147679 0.989035i \(-0.547180\pi\)
0.989035 + 0.147679i \(0.0471803\pi\)
\(12\) 129.817 + 89.9584i 0.260242 + 0.180339i
\(13\) 458.387 458.387i 0.752270 0.752270i −0.222633 0.974902i \(-0.571465\pi\)
0.974902 + 0.222633i \(0.0714650\pi\)
\(14\) 804.777 963.859i 1.09738 1.31430i
\(15\) 262.354 + 85.4185i 0.301064 + 0.0980221i
\(16\) −958.784 + 359.597i −0.936312 + 0.351169i
\(17\) 2274.45i 1.90878i 0.298571 + 0.954388i \(0.403490\pi\)
−0.298571 + 0.954388i \(0.596510\pi\)
\(18\) −949.390 792.696i −0.690658 0.576667i
\(19\) 298.101 + 298.101i 0.189444 + 0.189444i 0.795456 0.606012i \(-0.207232\pi\)
−0.606012 + 0.795456i \(0.707232\pi\)
\(20\) −1424.03 + 1082.66i −0.796056 + 0.605223i
\(21\) 774.683 774.683i 0.383333 0.383333i
\(22\) 241.983 + 2690.31i 0.106593 + 1.18507i
\(23\) 3318.66 1.30811 0.654053 0.756449i \(-0.273067\pi\)
0.654053 + 0.756449i \(0.273067\pi\)
\(24\) −861.283 + 237.546i −0.305223 + 0.0841820i
\(25\) −1839.87 + 2525.96i −0.588759 + 0.808309i
\(26\) 328.515 + 3652.35i 0.0953063 + 1.05959i
\(27\) −1611.12 1611.12i −0.425324 0.425324i
\(28\) 1267.54 + 6989.09i 0.305539 + 1.68471i
\(29\) −423.320 423.320i −0.0934703 0.0934703i 0.658825 0.752296i \(-0.271054\pi\)
−0.752296 + 0.658825i \(0.771054\pi\)
\(30\) −1322.09 + 829.515i −0.268200 + 0.168276i
\(31\) 770.338 0.143972 0.0719859 0.997406i \(-0.477066\pi\)
0.0719859 + 0.997406i \(0.477066\pi\)
\(32\) 1914.69 5467.03i 0.330539 0.943792i
\(33\) 2356.77i 0.376732i
\(34\) −9876.26 8246.21i −1.46519 1.22337i
\(35\) 5626.74 + 11059.5i 0.776402 + 1.52604i
\(36\) 6884.17 1248.51i 0.885310 0.160559i
\(37\) 4085.27 + 4085.27i 0.490587 + 0.490587i 0.908491 0.417904i \(-0.137235\pi\)
−0.417904 + 0.908491i \(0.637235\pi\)
\(38\) −2375.22 + 213.642i −0.266837 + 0.0240009i
\(39\) 3199.54i 0.336842i
\(40\) 461.755 10108.7i 0.0456312 0.998958i
\(41\) 3542.62i 0.329128i 0.986366 + 0.164564i \(0.0526217\pi\)
−0.986366 + 0.164564i \(0.947378\pi\)
\(42\) 555.197 + 6172.55i 0.0485650 + 0.539935i
\(43\) 4215.82 + 4215.82i 0.347705 + 0.347705i 0.859254 0.511549i \(-0.170928\pi\)
−0.511549 + 0.859254i \(0.670928\pi\)
\(44\) −12559.3 8703.17i −0.977990 0.677713i
\(45\) 10893.5 5542.27i 0.801931 0.407996i
\(46\) −12032.1 + 14410.5i −0.838388 + 1.00411i
\(47\) 16811.0i 1.11007i −0.831828 0.555033i \(-0.812706\pi\)
0.831828 0.555033i \(-0.187294\pi\)
\(48\) 2091.16 4601.15i 0.131004 0.288246i
\(49\) 32464.6 1.93161
\(50\) −4297.78 17147.3i −0.243119 0.969996i
\(51\) −7937.85 7937.85i −0.427344 0.427344i
\(52\) −17050.5 11815.4i −0.874437 0.605954i
\(53\) 785.216 + 785.216i 0.0383972 + 0.0383972i 0.726045 0.687647i \(-0.241357\pi\)
−0.687647 + 0.726045i \(0.741357\pi\)
\(54\) 12837.2 1154.65i 0.599080 0.0538849i
\(55\) −25381.8 8263.95i −1.13140 0.368367i
\(56\) −34944.0 19835.5i −1.48903 0.845228i
\(57\) −2080.75 −0.0848267
\(58\) 3372.94 303.383i 0.131656 0.0118419i
\(59\) 298.109 298.109i 0.0111492 0.0111492i −0.701510 0.712659i \(-0.747491\pi\)
0.712659 + 0.701510i \(0.247491\pi\)
\(60\) 1191.39 8748.34i 0.0427243 0.313724i
\(61\) 31800.2 + 31800.2i 1.09422 + 1.09422i 0.995072 + 0.0991502i \(0.0316124\pi\)
0.0991502 + 0.995072i \(0.468388\pi\)
\(62\) −2792.92 + 3345.01i −0.0922741 + 0.110514i
\(63\) 48531.9i 1.54055i
\(64\) 16797.4 + 28135.2i 0.512616 + 0.858618i
\(65\) −34458.3 11219.1i −1.01160 0.329363i
\(66\) −10233.7 8544.66i −0.289183 0.241454i
\(67\) 41685.0 41685.0i 1.13447 1.13447i 0.145043 0.989425i \(-0.453668\pi\)
0.989425 0.145043i \(-0.0463320\pi\)
\(68\) 71614.3 12987.9i 1.87814 0.340618i
\(69\) −11582.1 + 11582.1i −0.292864 + 0.292864i
\(70\) −68423.5 15664.5i −1.66902 0.382096i
\(71\) 30062.8i 0.707757i 0.935291 + 0.353879i \(0.115137\pi\)
−0.935291 + 0.353879i \(0.884863\pi\)
\(72\) −19537.8 + 34419.4i −0.444164 + 0.782478i
\(73\) 60262.6 1.32355 0.661776 0.749702i \(-0.269803\pi\)
0.661776 + 0.749702i \(0.269803\pi\)
\(74\) −32550.7 + 2927.81i −0.691006 + 0.0621533i
\(75\) −2394.47 15236.8i −0.0491537 0.312781i
\(76\) 7683.87 11088.4i 0.152597 0.220209i
\(77\) −74948.0 + 74948.0i −1.44057 + 1.44057i
\(78\) −13893.2 11600.2i −0.258563 0.215888i
\(79\) 2752.89 0.0496274 0.0248137 0.999692i \(-0.492101\pi\)
0.0248137 + 0.999692i \(0.492101\pi\)
\(80\) 42220.6 + 38655.1i 0.737564 + 0.675277i
\(81\) −41883.8 −0.709306
\(82\) −15383.0 12844.1i −0.252642 0.210944i
\(83\) −15332.2 + 15332.2i −0.244292 + 0.244292i −0.818623 0.574331i \(-0.805262\pi\)
0.574331 + 0.818623i \(0.305262\pi\)
\(84\) −28815.7 19968.3i −0.445585 0.308775i
\(85\) 113322. 57654.8i 1.70125 0.865542i
\(86\) −33591.0 + 3021.38i −0.489752 + 0.0440513i
\(87\) 2954.78 0.0418530
\(88\) 83326.2 22981.8i 1.14703 0.316356i
\(89\) 76595.2i 1.02501i −0.858685 0.512503i \(-0.828718\pi\)
0.858685 0.512503i \(-0.171282\pi\)
\(90\) −15429.4 + 67396.4i −0.200790 + 0.877062i
\(91\) −101749. + 101749.i −1.28803 + 1.28803i
\(92\) −18950.7 104492.i −0.233429 1.28711i
\(93\) −2688.48 + 2688.48i −0.0322329 + 0.0322329i
\(94\) 72997.6 + 60949.6i 0.852097 + 0.711461i
\(95\) 7296.09 22409.1i 0.0829433 0.254751i
\(96\) 12397.7 + 25762.2i 0.137298 + 0.285302i
\(97\) 138906.i 1.49897i 0.662021 + 0.749485i \(0.269699\pi\)
−0.662021 + 0.749485i \(0.730301\pi\)
\(98\) −117703. + 140969.i −1.23800 + 1.48272i
\(99\) 73822.8 + 73822.8i 0.757012 + 0.757012i
\(100\) 90039.8 + 43506.7i 0.900398 + 0.435067i
\(101\) −44314.1 + 44314.1i −0.432254 + 0.432254i −0.889394 0.457141i \(-0.848874\pi\)
0.457141 + 0.889394i \(0.348874\pi\)
\(102\) 63247.5 5688.86i 0.601926 0.0541409i
\(103\) −14146.6 −0.131389 −0.0656944 0.997840i \(-0.520926\pi\)
−0.0656944 + 0.997840i \(0.520926\pi\)
\(104\) 113123. 31199.9i 1.02558 0.282859i
\(105\) −58235.2 18960.5i −0.515480 0.167833i
\(106\) −6256.47 + 562.746i −0.0540835 + 0.00486460i
\(107\) −100646. 100646.i −0.849836 0.849836i 0.140276 0.990112i \(-0.455201\pi\)
−0.990112 + 0.140276i \(0.955201\pi\)
\(108\) −41528.4 + 59928.6i −0.342599 + 0.494395i
\(109\) −610.474 610.474i −0.00492154 0.00492154i 0.704642 0.709563i \(-0.251108\pi\)
−0.709563 + 0.704642i \(0.751108\pi\)
\(110\) 127908. 80252.8i 1.00790 0.632380i
\(111\) −28515.2 −0.219669
\(112\) 212823. 79820.4i 1.60315 0.601269i
\(113\) 179973.i 1.32590i 0.748664 + 0.662950i \(0.230696\pi\)
−0.748664 + 0.662950i \(0.769304\pi\)
\(114\) 7543.92 9035.15i 0.0543670 0.0651138i
\(115\) −84124.1 165349.i −0.593166 1.16589i
\(116\) −10911.5 + 15746.1i −0.0752904 + 0.108650i
\(117\) 100222. + 100222.i 0.676856 + 0.676856i
\(118\) 213.647 + 2375.28i 0.00141251 + 0.0157040i
\(119\) 504865.i 3.26819i
\(120\) 33668.0 + 36891.1i 0.213435 + 0.233867i
\(121\) 66958.6i 0.415760i
\(122\) −253379. + 22790.5i −1.54124 + 0.138629i
\(123\) −12363.8 12363.8i −0.0736865 0.0736865i
\(124\) −4398.90 24255.2i −0.0256915 0.141661i
\(125\) 172492. + 27639.5i 0.987404 + 0.158218i
\(126\) 210738. + 175956.i 1.18254 + 0.987367i
\(127\) 171523.i 0.943653i 0.881691 + 0.471826i \(0.156405\pi\)
−0.881691 + 0.471826i \(0.843595\pi\)
\(128\) −183070. 29067.9i −0.987628 0.156815i
\(129\) −29426.5 −0.155691
\(130\) 173647. 108951.i 0.901176 0.565421i
\(131\) −78184.0 78184.0i −0.398052 0.398052i 0.479494 0.877545i \(-0.340820\pi\)
−0.877545 + 0.479494i \(0.840820\pi\)
\(132\) 74206.2 13458.0i 0.370685 0.0672273i
\(133\) −66170.2 66170.2i −0.324364 0.324364i
\(134\) 29874.6 + 332139.i 0.143728 + 1.59793i
\(135\) −39432.6 + 121113.i −0.186218 + 0.571947i
\(136\) −203246. + 358056.i −0.942270 + 1.65998i
\(137\) 171360. 0.780024 0.390012 0.920810i \(-0.372471\pi\)
0.390012 + 0.920810i \(0.372471\pi\)
\(138\) −8300.63 92284.4i −0.0371033 0.412506i
\(139\) −254036. + 254036.i −1.11522 + 1.11522i −0.122782 + 0.992434i \(0.539182\pi\)
−0.992434 + 0.122782i \(0.960818\pi\)
\(140\) 316094. 240319.i 1.36300 1.03626i
\(141\) 58670.4 + 58670.4i 0.248526 + 0.248526i
\(142\) −130541. 108995.i −0.543281 0.453614i
\(143\) 309545.i 1.26585i
\(144\) −78622.1 209628.i −0.315965 0.842449i
\(145\) −10360.8 + 31822.2i −0.0409237 + 0.125693i
\(146\) −218487. + 261676.i −0.848288 + 1.01597i
\(147\) −113302. + 113302.i −0.432456 + 0.432456i
\(148\) 105302. 151959.i 0.395169 0.570258i
\(149\) −63078.2 + 63078.2i −0.232763 + 0.232763i −0.813845 0.581082i \(-0.802629\pi\)
0.581082 + 0.813845i \(0.302629\pi\)
\(150\) 74843.3 + 44844.8i 0.271597 + 0.162736i
\(151\) 72466.2i 0.258639i 0.991603 + 0.129319i \(0.0412792\pi\)
−0.991603 + 0.129319i \(0.958721\pi\)
\(152\) 20290.2 + 73567.2i 0.0712323 + 0.258271i
\(153\) −497286. −1.71742
\(154\) −53713.4 597173.i −0.182508 2.02908i
\(155\) −19527.2 38381.4i −0.0652846 0.128319i
\(156\) 100742. 18270.5i 0.331436 0.0601090i
\(157\) 185789. 185789.i 0.601550 0.601550i −0.339174 0.940724i \(-0.610148\pi\)
0.940724 + 0.339174i \(0.110148\pi\)
\(158\) −9980.84 + 11953.8i −0.0318071 + 0.0380945i
\(159\) −5480.82 −0.0171930
\(160\) −320925. + 43185.5i −0.991067 + 0.133364i
\(161\) −736649. −2.23973
\(162\) 151853. 181870.i 0.454607 0.544470i
\(163\) 218642. 218642.i 0.644562 0.644562i −0.307112 0.951673i \(-0.599363\pi\)
0.951673 + 0.307112i \(0.0993625\pi\)
\(164\) 111544. 20229.6i 0.323845 0.0587324i
\(165\) 117424. 59741.4i 0.335774 0.170831i
\(166\) −10988.2 122164.i −0.0309497 0.344091i
\(167\) −192821. −0.535012 −0.267506 0.963556i \(-0.586200\pi\)
−0.267506 + 0.963556i \(0.586200\pi\)
\(168\) 191181. 52728.6i 0.522602 0.144136i
\(169\) 48943.9i 0.131820i
\(170\) −160508. + 701107.i −0.425965 + 1.86064i
\(171\) −65176.8 + 65176.8i −0.170452 + 0.170452i
\(172\) 108667. 156815.i 0.280077 0.404172i
\(173\) −13776.2 + 13776.2i −0.0349958 + 0.0349958i −0.724388 0.689392i \(-0.757878\pi\)
0.689392 + 0.724388i \(0.257878\pi\)
\(174\) −10712.8 + 12830.4i −0.0268243 + 0.0321268i
\(175\) 408400. 560694.i 1.00807 1.38398i
\(176\) −202313. + 445146.i −0.492314 + 1.08323i
\(177\) 2080.80i 0.00499226i
\(178\) 332596. + 277702.i 0.786805 + 0.656945i
\(179\) 444475. + 444475.i 1.03685 + 1.03685i 0.999295 + 0.0375514i \(0.0119558\pi\)
0.0375514 + 0.999295i \(0.488044\pi\)
\(180\) −236712. 311349.i −0.544551 0.716253i
\(181\) 452613. 452613.i 1.02690 1.02690i 0.0272768 0.999628i \(-0.491316\pi\)
0.999628 0.0272768i \(-0.00868355\pi\)
\(182\) −72921.1 810719.i −0.163183 1.81423i
\(183\) −221966. −0.489957
\(184\) 522440. + 296557.i 1.13761 + 0.645749i
\(185\) 99987.8 307102.i 0.214792 0.659709i
\(186\) −1926.77 21421.4i −0.00408364 0.0454010i
\(187\) 767960. + 767960.i 1.60596 + 1.60596i
\(188\) −529317. + 95996.7i −1.09225 + 0.198090i
\(189\) 357625. + 357625.i 0.728237 + 0.728237i
\(190\) 70853.7 + 112928.i 0.142390 + 0.226943i
\(191\) 81220.6 0.161095 0.0805476 0.996751i \(-0.474333\pi\)
0.0805476 + 0.996751i \(0.474333\pi\)
\(192\) −156815. 39569.0i −0.306997 0.0774644i
\(193\) 374008.i 0.722749i −0.932421 0.361375i \(-0.882308\pi\)
0.932421 0.361375i \(-0.117692\pi\)
\(194\) −603167. 503616.i −1.15062 0.960717i
\(195\) 159414. 81104.7i 0.300221 0.152742i
\(196\) −185384. 1.02219e6i −0.344693 1.90061i
\(197\) −16211.5 16211.5i −0.0297616 0.0297616i 0.692069 0.721831i \(-0.256699\pi\)
−0.721831 + 0.692069i \(0.756699\pi\)
\(198\) −588208. + 52907.0i −1.06627 + 0.0959070i
\(199\) 571634.i 1.02326i −0.859207 0.511629i \(-0.829042\pi\)
0.859207 0.511629i \(-0.170958\pi\)
\(200\) −515364. + 233239.i −0.911043 + 0.412312i
\(201\) 290961.i 0.507978i
\(202\) −31758.9 353088.i −0.0547629 0.608841i
\(203\) 93965.2 + 93965.2i 0.160039 + 0.160039i
\(204\) −204606. + 295262.i −0.344226 + 0.496744i
\(205\) 176508. 89801.4i 0.293345 0.149245i
\(206\) 51289.5 61428.1i 0.0842094 0.100855i
\(207\) 725590.i 1.17697i
\(208\) −274659. + 604328.i −0.440186 + 0.968533i
\(209\) 201305. 0.318779
\(210\) 293468. 184129.i 0.459211 0.288121i
\(211\) 506339. + 506339.i 0.782953 + 0.782953i 0.980328 0.197375i \(-0.0632417\pi\)
−0.197375 + 0.980328i \(0.563242\pi\)
\(212\) 20239.8 29207.5i 0.0309290 0.0446328i
\(213\) −104919. 104919.i −0.158455 0.158455i
\(214\) 801927. 72130.2i 1.19702 0.107667i
\(215\) 103183. 316916.i 0.152234 0.467571i
\(216\) −109661. 397603.i −0.159925 0.579849i
\(217\) −170994. −0.246508
\(218\) 4864.16 437.512i 0.00693212 0.000623518i
\(219\) −210317. + 210317.i −0.296322 + 0.296322i
\(220\) −115263. + 846372.i −0.160558 + 1.17897i
\(221\) 1.04258e6 + 1.04258e6i 1.43591 + 1.43591i
\(222\) 103384. 123820.i 0.140790 0.168620i
\(223\) 961659.i 1.29497i 0.762079 + 0.647484i \(0.224179\pi\)
−0.762079 + 0.647484i \(0.775821\pi\)
\(224\) −425007. + 1.21353e6i −0.565947 + 1.61596i
\(225\) −552276. 402269.i −0.727277 0.529737i
\(226\) −781488. 652506.i −1.01777 0.849793i
\(227\) −855226. + 855226.i −1.10158 + 1.10158i −0.107360 + 0.994220i \(0.534240\pi\)
−0.994220 + 0.107360i \(0.965760\pi\)
\(228\) 11881.8 + 65515.3i 0.0151372 + 0.0834652i
\(229\) −771529. + 771529.i −0.972218 + 0.972218i −0.999624 0.0274064i \(-0.991275\pi\)
0.0274064 + 0.999624i \(0.491275\pi\)
\(230\) 1.02299e6 + 234197.i 1.27512 + 0.291919i
\(231\) 523137.i 0.645039i
\(232\) −28813.1 104469.i −0.0351456 0.127429i
\(233\) 295620. 0.356734 0.178367 0.983964i \(-0.442919\pi\)
0.178367 + 0.983964i \(0.442919\pi\)
\(234\) −798549. + 71826.4i −0.953371 + 0.0857520i
\(235\) −837592. + 426140.i −0.989379 + 0.503364i
\(236\) −11088.7 7684.05i −0.0129598 0.00898070i
\(237\) −9607.61 + 9607.61i −0.0111108 + 0.0111108i
\(238\) 2.19225e6 + 1.83043e6i 2.50870 + 2.09464i
\(239\) 1.43370e6 1.62355 0.811774 0.583972i \(-0.198502\pi\)
0.811774 + 0.583972i \(0.198502\pi\)
\(240\) −282257. + 12443.6i −0.316312 + 0.0139450i
\(241\) 70460.4 0.0781452 0.0390726 0.999236i \(-0.487560\pi\)
0.0390726 + 0.999236i \(0.487560\pi\)
\(242\) 290751. + 242764.i 0.319141 + 0.266468i
\(243\) 537678. 537678.i 0.584126 0.584126i
\(244\) 819684. 1.18286e6i 0.881397 1.27192i
\(245\) −822940. 1.61752e6i −0.875897 1.72161i
\(246\) 98512.4 8860.81i 0.103789 0.00933546i
\(247\) 273291. 0.285025
\(248\) 121271. + 68837.9i 0.125206 + 0.0710719i
\(249\) 107019.i 0.109386i
\(250\) −745403. + 648797.i −0.754295 + 0.656536i
\(251\) −550203. + 550203.i −0.551237 + 0.551237i −0.926798 0.375561i \(-0.877450\pi\)
0.375561 + 0.926798i \(0.377450\pi\)
\(252\) −1.52809e6 + 277134.i −1.51582 + 0.274909i
\(253\) 1.12053e6 1.12053e6i 1.10058 1.10058i
\(254\) −744795. 621869.i −0.724357 0.604804i
\(255\) −194280. + 596711.i −0.187102 + 0.574664i
\(256\) 789956. 689551.i 0.753361 0.657607i
\(257\) 1.21495e6i 1.14743i 0.819056 + 0.573713i \(0.194497\pi\)
−0.819056 + 0.573713i \(0.805503\pi\)
\(258\) 106688. 127777.i 0.0997853 0.119510i
\(259\) −906816. 906816.i −0.839981 0.839981i
\(260\) −156480. + 1.14903e6i −0.143557 + 1.05414i
\(261\) 92554.6 92554.6i 0.0841001 0.0841001i
\(262\) 622957. 56032.6i 0.560667 0.0504298i
\(263\) 451461. 0.402467 0.201234 0.979543i \(-0.435505\pi\)
0.201234 + 0.979543i \(0.435505\pi\)
\(264\) −210602. + 371015.i −0.185974 + 0.327629i
\(265\) 19218.3 59027.0i 0.0168113 0.0516340i
\(266\) 527233. 47422.6i 0.456876 0.0410942i
\(267\) 267318. + 267318.i 0.229482 + 0.229482i
\(268\) −1.55054e6 1.07447e6i −1.31870 0.913815i
\(269\) 43219.3 + 43219.3i 0.0364164 + 0.0364164i 0.725081 0.688664i \(-0.241803\pi\)
−0.688664 + 0.725081i \(0.741803\pi\)
\(270\) −382937. 610331.i −0.319682 0.509514i
\(271\) 654121. 0.541047 0.270524 0.962713i \(-0.412803\pi\)
0.270524 + 0.962713i \(0.412803\pi\)
\(272\) −817886. 2.18071e6i −0.670302 1.78721i
\(273\) 710209.i 0.576739i
\(274\) −621279. + 744089.i −0.499931 + 0.598754i
\(275\) 231657. + 1.47411e6i 0.184720 + 1.17543i
\(276\) 430817. + 298541.i 0.340424 + 0.235902i
\(277\) 355976. + 355976.i 0.278754 + 0.278754i 0.832611 0.553857i \(-0.186845\pi\)
−0.553857 + 0.832611i \(0.686845\pi\)
\(278\) −182062. 2.02412e6i −0.141288 1.57081i
\(279\) 168427.i 0.129539i
\(280\) −102497. + 2.24386e6i −0.0781295 + 1.71041i
\(281\) 2.50734e6i 1.89430i −0.320794 0.947149i \(-0.603950\pi\)
0.320794 0.947149i \(-0.396050\pi\)
\(282\) −467476. + 42047.7i −0.350055 + 0.0314861i
\(283\) 347736. + 347736.i 0.258097 + 0.258097i 0.824280 0.566183i \(-0.191580\pi\)
−0.566183 + 0.824280i \(0.691580\pi\)
\(284\) 946570. 171669.i 0.696397 0.126298i
\(285\) 52744.6 + 103671.i 0.0384650 + 0.0756043i
\(286\) 1.34412e6 + 1.12228e6i 0.971681 + 0.811308i
\(287\) 786363.i 0.563532i
\(288\) 1.19531e6 + 418626.i 0.849179 + 0.297403i
\(289\) −3.75328e6 −2.64342
\(290\) −100616. 160363.i −0.0702542 0.111972i
\(291\) −484784. 484784.i −0.335595 0.335595i
\(292\) −344121. 1.89745e6i −0.236186 1.30231i
\(293\) −957669. 957669.i −0.651698 0.651698i 0.301704 0.953402i \(-0.402445\pi\)
−0.953402 + 0.301704i \(0.902445\pi\)
\(294\) −81200.4 902768.i −0.0547886 0.609127i
\(295\) −22409.7 7296.27i −0.0149927 0.00488141i
\(296\) 278063. + 1.00819e6i 0.184465 + 0.668823i
\(297\) −1.08798e6 −0.715697
\(298\) −45206.6 502596.i −0.0294891 0.327853i
\(299\) 1.52123e6 1.52123e6i 0.984048 0.984048i
\(300\) −466078. + 162401.i −0.298989 + 0.104180i
\(301\) −935795. 935795.i −0.595339 0.595339i
\(302\) −314667. 262732.i −0.198533 0.165766i
\(303\) 309313.i 0.193549i
\(304\) −393011. 178619.i −0.243905 0.110852i
\(305\) 778317. 2.39052e6i 0.479079 1.47144i
\(306\) 1.80295e6 2.15934e6i 1.10073 1.31831i
\(307\) 651375. 651375.i 0.394444 0.394444i −0.481824 0.876268i \(-0.660026\pi\)
0.876268 + 0.481824i \(0.160026\pi\)
\(308\) 2.78782e6 + 1.93186e6i 1.67451 + 1.16038i
\(309\) 49371.6 49371.6i 0.0294158 0.0294158i
\(310\) 237459. + 54362.7i 0.140341 + 0.0321289i
\(311\) 1.64203e6i 0.962674i −0.876536 0.481337i \(-0.840151\pi\)
0.876536 0.481337i \(-0.159849\pi\)
\(312\) −285913. + 503689.i −0.166283 + 0.292938i
\(313\) 715763. 0.412960 0.206480 0.978451i \(-0.433799\pi\)
0.206480 + 0.978451i \(0.433799\pi\)
\(314\) 133151. + 1.48034e6i 0.0762113 + 0.847299i
\(315\) −2.41806e6 + 1.23023e6i −1.37306 + 0.698569i
\(316\) −15720.0 86678.7i −0.00885594 0.0488309i
\(317\) −1.47526e6 + 1.47526e6i −0.824555 + 0.824555i −0.986758 0.162202i \(-0.948140\pi\)
0.162202 + 0.986758i \(0.448140\pi\)
\(318\) 19871.1 23799.1i 0.0110193 0.0131975i
\(319\) −285865. −0.157284
\(320\) 976015. 1.55011e6i 0.532821 0.846228i
\(321\) 702507. 0.380529
\(322\) 2.67078e6 3.19872e6i 1.43548 1.71924i
\(323\) −678018. + 678018.i −0.361605 + 0.361605i
\(324\) 239171. + 1.31877e6i 0.126575 + 0.697921i
\(325\) 314496. + 2.00124e6i 0.165161 + 1.05097i
\(326\) 156695. + 1.74210e6i 0.0816605 + 0.907883i
\(327\) 4261.11 0.00220371
\(328\) −316571. + 557698.i −0.162475 + 0.286230i
\(329\) 3.73157e6i 1.90065i
\(330\) −166317. + 726482.i −0.0840721 + 0.367231i
\(331\) 1.35229e6 1.35229e6i 0.678420 0.678420i −0.281223 0.959643i \(-0.590740\pi\)
0.959643 + 0.281223i \(0.0907400\pi\)
\(332\) 570307. + 395202.i 0.283964 + 0.196777i
\(333\) −893202. + 893202.i −0.441407 + 0.441407i
\(334\) 699089. 837279.i 0.342899 0.410681i
\(335\) −3.13358e6 1.02025e6i −1.52556 0.496699i
\(336\) −464180. + 1.02133e6i −0.224305 + 0.493534i
\(337\) 1.10877e6i 0.531821i 0.963998 + 0.265910i \(0.0856726\pi\)
−0.963998 + 0.265910i \(0.914327\pi\)
\(338\) 212527. + 177450.i 0.101186 + 0.0844859i
\(339\) −628106. 628106.i −0.296848 0.296848i
\(340\) −2.46245e6 3.23889e6i −1.15524 1.51949i
\(341\) 260102. 260102.i 0.121132 0.121132i
\(342\) −46710.6 519318.i −0.0215949 0.240087i
\(343\) −3.47555e6 −1.59510
\(344\) 286949. + 1.04041e6i 0.130740 + 0.474031i
\(345\) 870662. + 283475.i 0.393824 + 0.128223i
\(346\) −9873.10 109767.i −0.00443367 0.0492925i
\(347\) 1.80080e6 + 1.80080e6i 0.802864 + 0.802864i 0.983542 0.180678i \(-0.0578293\pi\)
−0.180678 + 0.983542i \(0.557829\pi\)
\(348\) −16872.8 93035.2i −0.00746861 0.0411812i
\(349\) 722743. + 722743.i 0.317629 + 0.317629i 0.847856 0.530227i \(-0.177893\pi\)
−0.530227 + 0.847856i \(0.677893\pi\)
\(350\) 953988. + 3.80622e6i 0.416268 + 1.66082i
\(351\) −1.47704e6 −0.639917
\(352\) −1.19943e6 2.49241e6i −0.515965 1.07217i
\(353\) 1.65970e6i 0.708915i 0.935072 + 0.354457i \(0.115334\pi\)
−0.935072 + 0.354457i \(0.884666\pi\)
\(354\) −9035.36 7544.10i −0.00383211 0.00319963i
\(355\) 1.49785e6 762059.i 0.630809 0.320935i
\(356\) −2.41171e6 + 437386.i −1.00855 + 0.182911i
\(357\) 1.76198e6 + 1.76198e6i 0.731696 + 0.731696i
\(358\) −3.54150e6 + 318544.i −1.46043 + 0.131360i
\(359\) 1.03853e6i 0.425288i −0.977130 0.212644i \(-0.931793\pi\)
0.977130 0.212644i \(-0.0682074\pi\)
\(360\) 2.21017e6 + 100958.i 0.898815 + 0.0410568i
\(361\) 2.29837e6i 0.928222i
\(362\) 324376. + 3.60634e6i 0.130100 + 1.44642i
\(363\) 233686. + 233686.i 0.0930820 + 0.0930820i
\(364\) 3.78473e6 + 2.62269e6i 1.49721 + 1.03751i
\(365\) −1.52759e6 3.00253e6i −0.600170 1.17965i
\(366\) 804755. 963832.i 0.314023 0.376096i
\(367\) 1.45397e6i 0.563497i 0.959488 + 0.281748i \(0.0909144\pi\)
−0.959488 + 0.281748i \(0.909086\pi\)
\(368\) −3.18187e6 + 1.19338e6i −1.22479 + 0.459365i
\(369\) −774558. −0.296134
\(370\) 971000. + 1.54759e6i 0.368735 + 0.587696i
\(371\) −174296. 174296.i −0.0657435 0.0657435i
\(372\) 100003. + 69298.4i 0.0374675 + 0.0259637i
\(373\) −408561. 408561.i −0.152049 0.152049i 0.626983 0.779033i \(-0.284289\pi\)
−0.779033 + 0.626983i \(0.784289\pi\)
\(374\) −6.11898e6 + 550378.i −2.26204 + 0.203462i
\(375\) −698461. + 505537.i −0.256486 + 0.185641i
\(376\) 1.50224e6 2.64647e6i 0.547986 0.965380i
\(377\) −388089. −0.140630
\(378\) −2.84949e6 + 256301.i −1.02574 + 0.0922615i
\(379\) 1.46754e6 1.46754e6i 0.524797 0.524797i −0.394219 0.919016i \(-0.628985\pi\)
0.919016 + 0.394219i \(0.128985\pi\)
\(380\) −747246. 101763.i −0.265463 0.0361520i
\(381\) −598615. 598615.i −0.211269 0.211269i
\(382\) −294472. + 352680.i −0.103249 + 0.123658i
\(383\) 3.39962e6i 1.18422i −0.805856 0.592111i \(-0.798295\pi\)
0.805856 0.592111i \(-0.201705\pi\)
\(384\) 740363. 537470.i 0.256222 0.186006i
\(385\) 5.63406e6 + 1.83437e6i 1.93718 + 0.630716i
\(386\) 1.62404e6 + 1.35600e6i 0.554789 + 0.463223i
\(387\) −921747. + 921747.i −0.312849 + 0.312849i
\(388\) 4.37366e6 793205.i 1.47491 0.267489i
\(389\) 2.54394e6 2.54394e6i 0.852380 0.852380i −0.138046 0.990426i \(-0.544082\pi\)
0.990426 + 0.138046i \(0.0440821\pi\)
\(390\) −225791. + 986269.i −0.0751702 + 0.328347i
\(391\) 7.54813e6i 2.49688i
\(392\) 5.11074e6 + 2.90105e6i 1.67984 + 0.953543i
\(393\) 545725. 0.178235
\(394\) 129170. 11618.4i 0.0419200 0.00377055i
\(395\) −69782.7 137160.i −0.0225038 0.0442319i
\(396\) 1.90286e6 2.74597e6i 0.609774 0.879949i
\(397\) 833324. 833324.i 0.265361 0.265361i −0.561867 0.827228i \(-0.689917\pi\)
0.827228 + 0.561867i \(0.189917\pi\)
\(398\) 2.48218e6 + 2.07250e6i 0.785462 + 0.655824i
\(399\) 461868. 0.145240
\(400\) 855710. 3.08347e6i 0.267409 0.963583i
\(401\) 2.61069e6 0.810763 0.405381 0.914148i \(-0.367139\pi\)
0.405381 + 0.914148i \(0.367139\pi\)
\(402\) −1.26343e6 1.05490e6i −0.389929 0.325572i
\(403\) 353113. 353113.i 0.108306 0.108306i
\(404\) 1.64834e6 + 1.14224e6i 0.502451 + 0.348181i
\(405\) 1.06171e6 + 2.08682e6i 0.321638 + 0.632190i
\(406\) −748699. + 67342.6i −0.225420 + 0.0202756i
\(407\) 2.75875e6 0.825517
\(408\) −540287. 1.95895e6i −0.160685 0.582603i
\(409\) 2.72635e6i 0.805886i 0.915225 + 0.402943i \(0.132013\pi\)
−0.915225 + 0.402943i \(0.867987\pi\)
\(410\) −250002. + 1.09202e6i −0.0734487 + 0.320828i
\(411\) −598047. + 598047.i −0.174635 + 0.174635i
\(412\) 80782.0 + 445425.i 0.0234461 + 0.129280i
\(413\) −66171.8 + 66171.8i −0.0190896 + 0.0190896i
\(414\) −3.15070e6 2.63068e6i −0.903454 0.754341i
\(415\) 1.15256e6 + 375258.i 0.328507 + 0.106957i
\(416\) −1.62835e6 3.38368e6i −0.461332 0.958641i
\(417\) 1.77318e6i 0.499358i
\(418\) −729849. + 874120.i −0.204311 + 0.244698i
\(419\) −1.28951e6 1.28951e6i −0.358831 0.358831i 0.504551 0.863382i \(-0.331658\pi\)
−0.863382 + 0.504551i \(0.831658\pi\)
\(420\) −264455. + 1.94189e6i −0.0731523 + 0.537156i
\(421\) 228457. 228457.i 0.0628203 0.0628203i −0.674999 0.737819i \(-0.735856\pi\)
0.737819 + 0.674999i \(0.235856\pi\)
\(422\) −4.03443e6 + 362881.i −1.10281 + 0.0991935i
\(423\) 3.67555e6 0.998784
\(424\) 53445.5 + 193780.i 0.0144376 + 0.0523474i
\(425\) −5.74519e6 4.18470e6i −1.54288 1.12381i
\(426\) 835981. 75193.2i 0.223189 0.0200750i
\(427\) −7.05876e6 7.05876e6i −1.87352 1.87352i
\(428\) −2.59424e6 + 3.74368e6i −0.684543 + 0.987847i
\(429\) 1.08031e6 + 1.08031e6i 0.283404 + 0.283404i
\(430\) 1.00203e6 + 1.59705e6i 0.261342 + 0.416531i
\(431\) 338329. 0.0877297 0.0438648 0.999037i \(-0.486033\pi\)
0.0438648 + 0.999037i \(0.486033\pi\)
\(432\) 2.12407e6 + 965365.i 0.547596 + 0.248875i
\(433\) 5.26031e6i 1.34832i 0.738587 + 0.674158i \(0.235493\pi\)
−0.738587 + 0.674158i \(0.764507\pi\)
\(434\) 619951. 742498.i 0.157991 0.189222i
\(435\) −74900.2 147219.i −0.0189784 0.0373027i
\(436\) −15735.6 + 22707.6i −0.00396430 + 0.00572079i
\(437\) 989296. + 989296.i 0.247812 + 0.247812i
\(438\) −150729. 1.67577e6i −0.0375415 0.417377i
\(439\) 65687.9i 0.0162676i 0.999967 + 0.00813381i \(0.00258910\pi\)
−0.999967 + 0.00813381i \(0.997411\pi\)
\(440\) −3.25727e6 3.56909e6i −0.802088 0.878872i
\(441\) 7.09805e6i 1.73797i
\(442\) −8.30710e6 + 747191.i −2.02252 + 0.181918i
\(443\) −4.95646e6 4.95646e6i −1.19995 1.19995i −0.974182 0.225766i \(-0.927512\pi\)
−0.225766 0.974182i \(1.42751\pi\)
\(444\) 162832. + 897841.i 0.0391996 + 0.216143i
\(445\) −3.81628e6 + 1.94160e6i −0.913568 + 0.464793i
\(446\) −4.17577e6 3.48657e6i −0.994029 0.829968i
\(447\) 440286.i 0.104224i
\(448\) −3.72855e6 6.24523e6i −0.877698 1.47012i
\(449\) 3.58664e6 0.839599 0.419799 0.907617i \(-0.362100\pi\)
0.419799 + 0.907617i \(0.362100\pi\)
\(450\) 3.74908e6 939666.i 0.872756 0.218747i
\(451\) 1.19615e6 + 1.19615e6i 0.276914 + 0.276914i
\(452\) 5.66669e6 1.02771e6i 1.30462 0.236605i
\(453\) −252907. 252907.i −0.0579050 0.0579050i
\(454\) −612920. 6.81430e6i −0.139561 1.55161i
\(455\) 7.64877e6 + 2.49033e6i 1.73206 + 0.563934i
\(456\) −327562. 185937.i −0.0737704 0.0418749i
\(457\) 6.58077e6 1.47396 0.736981 0.675914i \(-0.236251\pi\)
0.736981 + 0.675914i \(0.236251\pi\)
\(458\) −552936. 6.14742e6i −0.123172 1.36940i
\(459\) 3.66443e6 3.66443e6i 0.811847 0.811847i
\(460\) −4.72586e6 + 3.59296e6i −1.04132 + 0.791696i
\(461\) 259892. + 259892.i 0.0569562 + 0.0569562i 0.735011 0.678055i \(-0.237177\pi\)
−0.678055 + 0.735011i \(0.737177\pi\)
\(462\) 2.27160e6 + 1.89668e6i 0.495138 + 0.413417i
\(463\) 2.74420e6i 0.594926i 0.954733 + 0.297463i \(0.0961404\pi\)
−0.954733 + 0.297463i \(0.903860\pi\)
\(464\) 558097. + 253648.i 0.120341 + 0.0546936i
\(465\) 202101. + 65801.2i 0.0433447 + 0.0141124i
\(466\) −1.07180e6 + 1.28366e6i −0.228637 + 0.273832i
\(467\) 2.71101e6 2.71101e6i 0.575226 0.575226i −0.358358 0.933584i \(-0.616663\pi\)
0.933584 + 0.358358i \(0.116663\pi\)
\(468\) 2.58331e6 3.72791e6i 0.545208 0.786776i
\(469\) −9.25289e6 + 9.25289e6i −1.94243 + 1.94243i
\(470\) 1.18635e6 5.18204e6i 0.247724 1.08207i
\(471\) 1.29681e6i 0.269354i
\(472\) 73569.0 20290.7i 0.0151999 0.00419219i
\(473\) 2.84691e6 0.585088
\(474\) −6885.54 76551.9i −0.00140764 0.0156498i
\(475\) −1.30146e6 + 204525.i −0.264666 + 0.0415923i
\(476\) −1.58964e7 + 2.88296e6i −3.21574 + 0.583205i
\(477\) −171680. + 171680.i −0.0345480 + 0.0345480i
\(478\) −5.19801e6 + 6.22551e6i −1.04056 + 1.24625i
\(479\) 3.15475e6 0.628240 0.314120 0.949383i \(-0.398291\pi\)
0.314120 + 0.949383i \(0.398291\pi\)
\(480\) 969310. 1.27075e6i 0.192026 0.251742i
\(481\) 3.74527e6 0.738108
\(482\) −255460. + 305957.i −0.0500847 + 0.0599850i
\(483\) 2.57091e6 2.57091e6i 0.501440 0.501440i
\(484\) −2.10828e6 + 382357.i −0.409087 + 0.0741918i
\(485\) 6.92088e6 3.52112e6i 1.33600 0.679714i
\(486\) 385341. + 4.28413e6i 0.0740038 + 0.822757i
\(487\) −3.58080e6 −0.684160 −0.342080 0.939671i \(-0.611131\pi\)
−0.342080 + 0.939671i \(0.611131\pi\)
\(488\) 2.16447e6 + 7.84784e6i 0.411436 + 1.49177i
\(489\) 1.52612e6i 0.288614i
\(490\) 1.00073e7 + 2.29102e6i 1.88290 + 0.431061i
\(491\) −543805. + 543805.i −0.101798 + 0.101798i −0.756172 0.654373i \(-0.772932\pi\)
0.654373 + 0.756172i \(0.272932\pi\)
\(492\) −318689. + 459891.i −0.0593545 + 0.0856530i
\(493\) 962822. 962822.i 0.178414 0.178414i
\(494\) −990840. + 1.18670e6i −0.182678 + 0.218788i
\(495\) 1.80683e6 5.54948e6i 0.331439 1.01798i
\(496\) −738588. + 277011.i −0.134803 + 0.0505584i
\(497\) 6.67311e6i 1.21182i
\(498\) 464702. + 388005.i 0.0839656 + 0.0701073i
\(499\) −1.60637e6 1.60637e6i −0.288797 0.288797i 0.547807 0.836605i \(-0.315463\pi\)
−0.836605 + 0.547807i \(0.815463\pi\)
\(500\) −114724. 5.58899e6i −0.0205225 0.999789i
\(501\) 672947. 672947.i 0.119781 0.119781i
\(502\) −394317. 4.38392e6i −0.0698371 0.776432i
\(503\) −8.92503e6 −1.57286 −0.786429 0.617680i \(-0.788073\pi\)
−0.786429 + 0.617680i \(0.788073\pi\)
\(504\) 4.33684e6 7.64015e6i 0.760496 1.33975i
\(505\) 3.33122e6 + 1.08460e6i 0.581266 + 0.189252i
\(506\) 803057. + 8.92820e6i 0.139435 + 1.55020i
\(507\) 170814. + 170814.i 0.0295124 + 0.0295124i
\(508\) 5.40063e6 979455.i 0.928507 0.168393i
\(509\) −7.40379e6 7.40379e6i −1.26666 1.26666i −0.947803 0.318856i \(-0.896701\pi\)
−0.318856 0.947803i \(-0.603299\pi\)
\(510\) −1.88669e6 3.00704e6i −0.321200 0.511934i
\(511\) −1.33766e7 −2.26618
\(512\) 130156. + 5.93021e6i 0.0219426 + 0.999759i
\(513\) 960557.i 0.161150i
\(514\) −5.27561e6 4.40489e6i −0.880775 0.735406i
\(515\) 358600. + 704840.i 0.0595788 + 0.117104i
\(516\) 168036. + 926533.i 0.0277829 + 0.153192i
\(517\) −5.67617e6 5.67617e6i −0.933961 0.933961i
\(518\) 7.22536e6 649893.i 1.18314 0.106419i
\(519\) 96158.3i 0.0156700i
\(520\) −4.42205e6 4.84538e6i −0.717159 0.785813i
\(521\) 2.32522e6i 0.375293i −0.982237 0.187646i \(-0.939914\pi\)
0.982237 0.187646i \(-0.0600859\pi\)
\(522\) 66331.6 + 737460.i 0.0106548 + 0.118457i
\(523\) 6.80815e6 + 6.80815e6i 1.08837 + 1.08837i 0.995697 + 0.0926688i \(0.0295398\pi\)
0.0926688 + 0.995697i \(0.470460\pi\)
\(524\) −2.01527e6 + 2.90819e6i −0.320631 + 0.462694i
\(525\) 531505. + 3.38214e6i 0.0841607 + 0.535542i
\(526\) −1.63681e6 + 1.96036e6i −0.257948 + 0.308938i
\(527\) 1.75210e6i 0.274810i
\(528\) −847487. 2.25963e6i −0.132296 0.352739i
\(529\) 4.57714e6 0.711139
\(530\) 186633. + 297458.i 0.0288601 + 0.0459977i
\(531\) 65178.4 + 65178.4i 0.0100315 + 0.0100315i
\(532\) −1.70560e6 + 2.46131e6i −0.261276 + 0.377040i
\(533\) 1.62389e6 + 1.62389e6i 0.247593 + 0.247593i
\(534\) −2.12994e6 + 191580.i −0.323232 + 0.0290735i
\(535\) −2.46332e6 + 7.56582e6i −0.372080 + 1.14280i
\(536\) 1.02873e7 2.83727e6i 1.54663 0.426569i
\(537\) −3.10244e6 −0.464266
\(538\) −344364. + 30974.2i −0.0512935 + 0.00461365i
\(539\) 1.09615e7 1.09615e7i 1.62517 1.62517i
\(540\) 4.03858e6 + 549992.i 0.595997 + 0.0811656i
\(541\) −3.19138e6 3.19138e6i −0.468798 0.468798i 0.432727 0.901525i \(-0.357551\pi\)
−0.901525 + 0.432727i \(0.857551\pi\)
\(542\) −2.37157e6 + 2.84036e6i −0.346767 + 0.415313i
\(543\) 3.15924e6i 0.459815i
\(544\) 1.24345e7 + 4.35486e6i 1.80149 + 0.630924i
\(545\) −14941.5 + 45891.1i −0.00215478 + 0.00661816i
\(546\) 3.08391e6 + 2.57492e6i 0.442711 + 0.369643i
\(547\) −4.74228e6 + 4.74228e6i −0.677671 + 0.677671i −0.959473 0.281802i \(-0.909068\pi\)
0.281802 + 0.959473i \(0.409068\pi\)
\(548\) −978526. 5.39551e6i −0.139194 0.767504i
\(549\) −6.95279e6 + 6.95279e6i −0.984529 + 0.984529i
\(550\) −7.24084e6 4.33858e6i −1.02066 0.611562i
\(551\) 252385.i 0.0354147i
\(552\) −2.85830e6 + 788333.i −0.399264 + 0.110119i
\(553\) −611066. −0.0849718
\(554\) −2.83636e6 + 255119.i −0.392633 + 0.0353158i
\(555\) 722828. + 1.42074e6i 0.0996099 + 0.195787i
\(556\) 9.44932e6 + 6.54805e6i 1.29632 + 0.898307i
\(557\) −7.15597e6 + 7.15597e6i −0.977305 + 0.977305i −0.999748 0.0224429i \(-0.992856\pi\)
0.0224429 + 0.999748i \(0.492856\pi\)
\(558\) −731351. 610644.i −0.0994353 0.0830238i
\(559\) 3.86496e6 0.523136
\(560\) −9.37180e6 8.58036e6i −1.26285 1.15621i
\(561\) −5.36037e6 −0.719097
\(562\) 1.08875e7 + 9.09058e6i 1.45408 + 1.21409i
\(563\) 5.00546e6 5.00546e6i 0.665538 0.665538i −0.291142 0.956680i \(-0.594035\pi\)
0.956680 + 0.291142i \(0.0940351\pi\)
\(564\) 1.51229e6 2.18235e6i 0.200188 0.288886i
\(565\) 8.96697e6 4.56210e6i 1.18175 0.601235i
\(566\) −2.77070e6 + 249214.i −0.363537 + 0.0326987i
\(567\) 9.29703e6 1.21447
\(568\) −2.68643e6 + 4.73265e6i −0.349386 + 0.615508i
\(569\) 6.93687e6i 0.898221i 0.893476 + 0.449110i \(0.148259\pi\)
−0.893476 + 0.449110i \(0.851741\pi\)
\(570\) −641397. 146838.i −0.0826875 0.0189301i
\(571\) 543586. 543586.i 0.0697714 0.0697714i −0.671360 0.741131i \(-0.734290\pi\)
0.741131 + 0.671360i \(0.234290\pi\)
\(572\) −9.74645e6 + 1.76761e6i −1.24554 + 0.225890i
\(573\) −283460. + 283460.i −0.0360666 + 0.0360666i
\(574\) 3.41459e6 + 2.85102e6i 0.432572 + 0.361177i
\(575\) −6.10590e6 + 8.38281e6i −0.770159 + 1.05735i
\(576\) −6.15147e6 + 3.67258e6i −0.772544 + 0.461227i
\(577\) 1.24743e7i 1.55983i −0.625883 0.779917i \(-0.715261\pi\)
0.625883 0.779917i \(-0.284739\pi\)
\(578\) 1.36078e7 1.62977e7i 1.69422 2.02912i
\(579\) 1.30529e6 + 1.30529e6i 0.161812 + 0.161812i
\(580\) 1.06113e6 + 144509.i 0.130978 + 0.0178372i
\(581\) 3.40331e6 3.40331e6i 0.418275 0.418275i
\(582\) 3.86268e6 347433.i 0.472695 0.0425171i
\(583\) 530250. 0.0646115
\(584\) 9.48685e6 + 5.38510e6i 1.15104 + 0.653374i
\(585\) 2.45294e6 7.53395e6i 0.296345 0.910192i
\(586\) 7.63054e6 686338.i 0.917934 0.0825646i
\(587\) −576877. 576877.i −0.0691016 0.0691016i 0.671711 0.740813i \(-0.265560\pi\)
−0.740813 + 0.671711i \(0.765560\pi\)
\(588\) 4.21445e6 + 2.92046e6i 0.502686 + 0.348344i
\(589\) 229639. + 229639.i 0.0272745 + 0.0272745i
\(590\) 112930. 70855.4i 0.0133561 0.00837998i
\(591\) 113156. 0.0133263
\(592\) −5.38594e6 2.44784e6i −0.631622 0.287064i
\(593\) 5.63837e6i 0.658441i 0.944253 + 0.329220i \(0.106786\pi\)
−0.944253 + 0.329220i \(0.893214\pi\)
\(594\) 3.94455e6 4.72428e6i 0.458703 0.549376i
\(595\) −2.51544e7 + 1.27978e7i −2.91288 + 1.48198i
\(596\) 2.34630e6 + 1.62590e6i 0.270563 + 0.187491i
\(597\) 1.99500e6 + 1.99500e6i 0.229091 + 0.229091i
\(598\) 1.09023e6 + 1.21209e7i 0.124671 + 1.38606i
\(599\) 9.22167e6i 1.05013i −0.851062 0.525064i \(-0.824041\pi\)
0.851062 0.525064i \(-0.175959\pi\)
\(600\) 984617. 2.61262e6i 0.111658 0.296278i
\(601\) 564095.i 0.0637039i 0.999493 + 0.0318519i \(0.0101405\pi\)
−0.999493 + 0.0318519i \(0.989859\pi\)
\(602\) 7.45626e6 670661.i 0.838551 0.0754244i
\(603\) 9.11399e6 + 9.11399e6i 1.02074 + 1.02074i
\(604\) 2.28170e6 413808.i 0.254487 0.0461537i
\(605\) −3.33615e6 + 1.69732e6i −0.370559 + 0.188528i
\(606\) 1.34312e6 + 1.12144e6i 0.148570 + 0.124049i
\(607\) 1.64721e7i 1.81459i −0.420495 0.907295i \(-0.638144\pi\)
0.420495 0.907295i \(-0.361856\pi\)
\(608\) 2.20050e6 1.05896e6i 0.241414 0.116177i
\(609\) −655878. −0.0716605
\(610\) 7.55838e6 + 1.20467e7i 0.822440 + 1.31082i
\(611\) −7.70594e6 7.70594e6i −0.835069 0.835069i
\(612\) 2.83968e6 + 1.56577e7i 0.306472 + 1.68986i
\(613\) −4.44832e6 4.44832e6i −0.478129 0.478129i 0.426404 0.904533i \(-0.359780\pi\)
−0.904533 + 0.426404i \(0.859780\pi\)
\(614\) 466824. + 5.19005e6i 0.0499727 + 0.555585i
\(615\) −302605. + 929420.i −0.0322618 + 0.0990887i
\(616\) −1.84961e7 + 5.10131e6i −1.96394 + 0.541664i
\(617\) −6.62182e6 −0.700269 −0.350134 0.936700i \(-0.613864\pi\)
−0.350134 + 0.936700i \(0.613864\pi\)
\(618\) 35383.4 + 393385.i 0.00372674 + 0.0414330i
\(619\) −5.73384e6 + 5.73384e6i −0.601477 + 0.601477i −0.940704 0.339228i \(-0.889834\pi\)
0.339228 + 0.940704i \(0.389834\pi\)
\(620\) −1.09698e6 + 834012.i −0.114610 + 0.0871351i
\(621\) −5.34677e6 5.34677e6i −0.556368 0.556368i
\(622\) 7.13010e6 + 5.95330e6i 0.738958 + 0.616995i
\(623\) 1.70020e7i 1.75501i
\(624\) −1.15054e6 3.06767e6i −0.118288 0.315389i
\(625\) −2.99537e6 9.29490e6i −0.306726 0.951798i
\(626\) −2.59505e6 + 3.10802e6i −0.264674 + 0.316992i
\(627\) −702557. + 702557.i −0.0713695 + 0.0713695i
\(628\) −6.91075e6 4.78891e6i −0.699240 0.484549i
\(629\) −9.29176e6 + 9.29176e6i −0.936421 + 0.936421i
\(630\) 3.42489e6 1.49601e7i 0.343792 1.50170i
\(631\) 1.61041e7i 1.61014i 0.593181 + 0.805069i \(0.297872\pi\)
−0.593181 + 0.805069i \(0.702128\pi\)
\(632\) 433375. + 246000.i 0.0431590 + 0.0244987i
\(633\) −3.53425e6 −0.350581
\(634\) −1.05728e6 1.17546e7i −0.104464 1.16141i
\(635\) 8.54595e6 4.34790e6i 0.841059 0.427903i
\(636\) 31297.4 + 172571.i 0.00306807 + 0.0169171i
\(637\) 1.48813e7 1.48813e7i 1.45309 1.45309i
\(638\) 1.03642e6 1.24130e6i 0.100806 0.120732i
\(639\) −6.57293e6 −0.636806
\(640\) 3.19235e6 + 9.85815e6i 0.308078 + 0.951361i
\(641\) −3.13561e6 −0.301423 −0.150712 0.988578i \(-0.548157\pi\)
−0.150712 + 0.988578i \(0.548157\pi\)
\(642\) −2.54699e6 + 3.05046e6i −0.243888 + 0.292098i
\(643\) 2.03054e6 2.03054e6i 0.193680 0.193680i −0.603604 0.797284i \(-0.706269\pi\)
0.797284 + 0.603604i \(0.206269\pi\)
\(644\) 4.20653e6 + 2.31944e7i 0.399677 + 2.20378i
\(645\) 745927. + 1.46615e6i 0.0705988 + 0.138764i
\(646\) −485919. 5.40233e6i −0.0458123 0.509331i
\(647\) 1.06692e6 0.100201 0.0501004 0.998744i \(-0.484046\pi\)
0.0501004 + 0.998744i \(0.484046\pi\)
\(648\) −6.59357e6 3.74276e6i −0.616855 0.350150i
\(649\) 201310.i 0.0187609i
\(650\) −9.83013e6 5.89004e6i −0.912591 0.546808i
\(651\) 596768. 596768.i 0.0551891 0.0551891i
\(652\) −8.13277e6 5.63572e6i −0.749237 0.519195i
\(653\) 1.00908e7 1.00908e7i 0.926063 0.926063i −0.0713854 0.997449i \(-0.522742\pi\)
0.997449 + 0.0713854i \(0.0227420\pi\)
\(654\) −15449.0 + 18502.8i −0.00141239 + 0.00169159i
\(655\) −1.91357e6 + 5.87732e6i −0.174277 + 0.535274i
\(656\) −1.27391e6 3.39661e6i −0.115579 0.308167i
\(657\) 1.31758e7i 1.19087i
\(658\) −1.62034e7 1.35291e7i −1.45896 1.21816i
\(659\) 8.49791e6 + 8.49791e6i 0.762252 + 0.762252i 0.976729 0.214477i \(-0.0688047\pi\)
−0.214477 + 0.976729i \(0.568805\pi\)
\(660\) −2.55157e6 3.35611e6i −0.228007 0.299900i
\(661\) −4.93765e6 + 4.93765e6i −0.439558 + 0.439558i −0.891863 0.452305i \(-0.850602\pi\)
0.452305 + 0.891863i \(0.350602\pi\)
\(662\) 969150. + 1.07748e7i 0.0859501 + 0.955573i
\(663\) −7.27721e6 −0.642956
\(664\) −3.78376e6 + 1.04358e6i −0.333045 + 0.0918555i
\(665\) −1.61953e6 + 4.97420e6i −0.142015 + 0.436184i
\(666\) −640136. 7.11689e6i −0.0559226 0.621734i
\(667\) −1.40485e6 1.40485e6i −0.122269 0.122269i
\(668\) 1.10108e6 + 6.07124e6i 0.0954722 + 0.526425i
\(669\) −3.35619e6 3.35619e6i −0.289922 0.289922i
\(670\) 1.57912e7 9.90781e6i 1.35903 0.852689i
\(671\) 2.14744e7 1.84126
\(672\) −2.75194e6 5.71849e6i −0.235080 0.488493i
\(673\) 8.24915e6i 0.702056i 0.936365 + 0.351028i \(0.114168\pi\)
−0.936365 + 0.351028i \(0.885832\pi\)
\(674\) −4.81455e6 4.01992e6i −0.408231 0.340854i
\(675\) 7.03390e6 1.10538e6i 0.594206 0.0933798i
\(676\) −1.54107e6 + 279487.i −0.129704 + 0.0235231i
\(677\) −7.16246e6 7.16246e6i −0.600607 0.600607i 0.339866 0.940474i \(-0.389618\pi\)
−0.940474 + 0.339866i \(0.889618\pi\)
\(678\) 5.00464e6 450148.i 0.418118 0.0376081i
\(679\) 3.08333e7i 2.56653i
\(680\) 2.29919e7 + 1.05024e6i 1.90679 + 0.0870997i
\(681\) 5.96948e6i 0.493252i
\(682\) 186409. + 2.07245e6i 0.0153463 + 0.170617i
\(683\) −907654. 907654.i −0.0744506 0.0744506i 0.668901 0.743352i \(-0.266765\pi\)
−0.743352 + 0.668901i \(0.766765\pi\)
\(684\) 2.42436e6 + 1.68000e6i 0.198133 + 0.137299i
\(685\) −4.34378e6 8.53785e6i −0.353705 0.695220i
\(686\) 1.26009e7 1.50917e7i 1.02233 1.22441i
\(687\) 5.38528e6i 0.435328i
\(688\) −5.55806e6 2.52607e6i −0.447664 0.203458i
\(689\) 719866. 0.0577701
\(690\) −4.38757e6 + 2.75287e6i −0.350834 + 0.220122i
\(691\) 7.86695e6 + 7.86695e6i 0.626774 + 0.626774i 0.947255 0.320481i \(-0.103844\pi\)
−0.320481 + 0.947255i \(0.603844\pi\)
\(692\) 512431. + 355097.i 0.0406790 + 0.0281891i
\(693\) −1.63866e7 1.63866e7i −1.29615 1.29615i
\(694\) −1.43485e7 + 1.29059e6i −1.13086 + 0.101716i
\(695\) 1.90967e7 + 6.21759e6i 1.49967 + 0.488270i
\(696\) 465156. + 264040.i 0.0363979 + 0.0206608i
\(697\) −8.05753e6 −0.628232
\(698\) −5.75869e6 + 517972.i −0.447389 + 0.0402409i
\(699\) −1.03172e6 + 1.03172e6i −0.0798670 + 0.0798670i
\(700\) −1.99863e7 9.65728e6i −1.54166 0.744920i
\(701\) 6.60257e6 + 6.60257e6i 0.507479 + 0.507479i 0.913752 0.406273i \(-0.133172\pi\)
−0.406273 + 0.913752i \(0.633172\pi\)
\(702\) 5.35511e6 6.41367e6i 0.410134 0.491206i
\(703\) 2.43565e6i 0.185877i
\(704\) 1.51713e7 + 3.82817e6i 1.15370 + 0.291111i
\(705\) 1.43597e6 4.41043e6i 0.108811 0.334201i
\(706\) −7.20686e6 6.01739e6i −0.544169 0.454356i
\(707\) 9.83650e6 9.83650e6i 0.740103 0.740103i
\(708\) 65516.9 11882.1i 0.00491213 0.000890861i
\(709\) 1.42731e7 1.42731e7i 1.06636 1.06636i 0.0687214 0.997636i \(-0.478108\pi\)
0.997636 0.0687214i \(-0.0218919\pi\)
\(710\) −2.12153e6 + 9.26696e6i −0.157944 + 0.689908i
\(711\) 601892.i 0.0446524i
\(712\) 6.84459e6 1.20580e7i 0.505996 0.891407i
\(713\) 2.55649e6 0.188330
\(714\) −1.40392e7 + 1.26277e6i −1.03061 + 0.0926997i
\(715\) −1.54228e7 + 7.84661e6i −1.12823 + 0.574007i
\(716\) 1.14568e7 1.65330e7i 0.835180 1.20523i
\(717\) −5.00363e6 + 5.00363e6i −0.363486 + 0.363486i
\(718\) 4.50956e6 + 3.76527e6i 0.326455 + 0.272575i
\(719\) −9.86603e6 −0.711738 −0.355869 0.934536i \(-0.615815\pi\)
−0.355869 + 0.934536i \(0.615815\pi\)
\(720\) −8.45155e6 + 9.23111e6i −0.607582 + 0.663625i
\(721\) 3.14015e6 0.224963
\(722\) 9.98011e6 + 8.33292e6i 0.712512 + 0.594914i
\(723\) −245907. + 245907.i −0.0174955 + 0.0174955i
\(724\) −1.68357e7 1.16666e7i −1.19367 0.827172i
\(725\) 1.84815e6 290437.i 0.130584 0.0205214i
\(726\) −1.86197e6 + 167477.i −0.131109 + 0.0117927i
\(727\) 864734. 0.0606801 0.0303400 0.999540i \(-0.490341\pi\)
0.0303400 + 0.999540i \(0.490341\pi\)
\(728\) −2.51102e7 + 6.92551e6i −1.75599 + 0.484310i
\(729\) 6.42477e6i 0.447753i
\(730\) 1.85761e7 + 4.25272e6i 1.29017 + 0.295366i
\(731\) −9.58869e6 + 9.58869e6i −0.663691 + 0.663691i
\(732\) 1.26750e6 + 6.98890e6i 0.0874322 + 0.482093i
\(733\) −4.55613e6 + 4.55613e6i −0.313210 + 0.313210i −0.846152 0.532942i \(-0.821087\pi\)
0.532942 + 0.846152i \(0.321087\pi\)
\(734\) −6.31353e6 5.27150e6i −0.432545 0.361155i
\(735\) 8.51720e6 + 2.77308e6i 0.581539 + 0.189340i
\(736\) 6.35418e6 1.81432e7i 0.432380 1.23458i
\(737\) 2.81495e7i 1.90898i
\(738\) 2.80822e6 3.36333e6i 0.189797 0.227315i
\(739\) 7.76849e6 + 7.76849e6i 0.523270 + 0.523270i 0.918557 0.395288i \(-0.129355\pi\)
−0.395288 + 0.918557i \(0.629355\pi\)
\(740\) −1.02405e7 1.39459e6i −0.687450 0.0936200i
\(741\) −953788. + 953788.i −0.0638126 + 0.0638126i
\(742\) 1.38876e6 124914.i 0.0926015 0.00832915i
\(743\) −1.61518e7 −1.07337 −0.536685 0.843783i \(-0.680324\pi\)
−0.536685 + 0.843783i \(0.680324\pi\)
\(744\) −663479. + 182991.i −0.0439435 + 0.0121198i
\(745\) 4.74177e6 + 1.54385e6i 0.313004 + 0.101909i
\(746\) 3.25534e6 292806.i 0.214166 0.0192634i
\(747\) −3.35222e6 3.35222e6i −0.219802 0.219802i
\(748\) 1.97950e7 2.85656e7i 1.29360 1.86676i
\(749\) 2.23405e7 + 2.23405e7i 1.45508 + 1.45508i
\(750\) 337155. 4.86576e6i 0.0218865 0.315862i
\(751\) 7.80825e6 0.505189 0.252595 0.967572i \(-0.418716\pi\)
0.252595 + 0.967572i \(0.418716\pi\)
\(752\) 6.04518e6 + 1.61181e7i 0.389820 + 1.03937i
\(753\) 3.84042e6i 0.246826i
\(754\) 1.40705e6 1.68518e6i 0.0901322 0.107949i
\(755\) 3.61056e6 1.83694e6i 0.230519 0.117281i
\(756\) 9.21814e6 1.33025e7i 0.586595 0.846501i
\(757\) 1.70280e7 + 1.70280e7i 1.08000 + 1.08000i 0.996509 + 0.0834890i \(0.0266064\pi\)
0.0834890 + 0.996509i \(0.473394\pi\)
\(758\) 1.05175e6 + 1.16931e7i 0.0664873 + 0.739191i
\(759\) 7.82131e6i 0.492805i
\(760\) 3.15108e6 2.87578e6i 0.197891 0.180602i
\(761\) 2.76106e6i 0.172828i −0.996259