Properties

Label 80.6.q.a.29.4
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 29.4
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.57469 - 0.960646i) q^{2} +(-2.26113 + 2.26113i) q^{3} +(30.1543 + 10.7106i) q^{4} +(-30.6126 - 46.7747i) q^{5} +(14.7772 - 10.4329i) q^{6} +66.4138 q^{7} +(-157.812 - 88.6759i) q^{8} +232.775i q^{9} +O(q^{10})\) \(q+(-5.57469 - 0.960646i) q^{2} +(-2.26113 + 2.26113i) q^{3} +(30.1543 + 10.7106i) q^{4} +(-30.6126 - 46.7747i) q^{5} +(14.7772 - 10.4329i) q^{6} +66.4138 q^{7} +(-157.812 - 88.6759i) q^{8} +232.775i q^{9} +(125.722 + 290.162i) q^{10} +(256.183 - 256.183i) q^{11} +(-92.4009 + 43.9647i) q^{12} +(47.6627 - 47.6627i) q^{13} +(-370.236 - 63.8002i) q^{14} +(174.983 + 36.5445i) q^{15} +(794.566 + 645.942i) q^{16} -254.311i q^{17} +(223.614 - 1297.65i) q^{18} +(-837.013 - 837.013i) q^{19} +(-422.117 - 1738.34i) q^{20} +(-150.170 + 150.170i) q^{21} +(-1674.24 + 1182.04i) q^{22} -4778.60 q^{23} +(557.341 - 156.325i) q^{24} +(-1250.74 + 2863.79i) q^{25} +(-311.492 + 219.918i) q^{26} +(-1075.79 - 1075.79i) q^{27} +(2002.66 + 711.332i) q^{28} +(-3818.51 - 3818.51i) q^{29} +(-940.367 - 371.821i) q^{30} -6486.85 q^{31} +(-3808.94 - 4364.22i) q^{32} +1158.52i q^{33} +(-244.303 + 1417.70i) q^{34} +(-2033.10 - 3106.48i) q^{35} +(-2493.16 + 7019.16i) q^{36} +(-3512.46 - 3512.46i) q^{37} +(3862.01 + 5470.16i) q^{38} +215.543i q^{39} +(683.245 + 10096.2i) q^{40} -16789.7i q^{41} +(981.413 - 692.892i) q^{42} +(10646.0 + 10646.0i) q^{43} +(10468.9 - 4981.14i) q^{44} +(10888.0 - 7125.84i) q^{45} +(26639.2 + 4590.54i) q^{46} +4870.18i q^{47} +(-3257.17 + 336.057i) q^{48} -12396.2 q^{49} +(9723.56 - 14763.2i) q^{50} +(575.029 + 575.029i) q^{51} +(1947.73 - 926.740i) q^{52} +(7202.68 + 7202.68i) q^{53} +(4963.73 + 7030.63i) q^{54} +(-19825.3 - 4140.44i) q^{55} +(-10480.9 - 5889.31i) q^{56} +3785.19 q^{57} +(17618.8 + 24955.2i) q^{58} +(-5669.21 + 5669.21i) q^{59} +(4885.07 + 2976.14i) q^{60} +(-15449.2 - 15449.2i) q^{61} +(36162.2 + 6231.57i) q^{62} +15459.5i q^{63} +(17041.2 + 27988.2i) q^{64} +(-3688.49 - 770.327i) q^{65} +(1112.93 - 6458.41i) q^{66} +(-19379.5 + 19379.5i) q^{67} +(2723.82 - 7668.56i) q^{68} +(10805.0 - 10805.0i) q^{69} +(8349.67 + 19270.8i) q^{70} -28725.4i q^{71} +(20641.5 - 36734.6i) q^{72} +65390.0 q^{73} +(16206.6 + 22955.1i) q^{74} +(-3647.32 - 9303.47i) q^{75} +(-16274.6 - 34204.5i) q^{76} +(17014.1 - 17014.1i) q^{77} +(207.061 - 1201.59i) q^{78} -5440.69 q^{79} +(5890.00 - 56939.5i) q^{80} -51699.2 q^{81} +(-16128.9 + 93597.3i) q^{82} +(-42555.2 + 42555.2i) q^{83} +(-6136.70 + 2919.87i) q^{84} +(-11895.3 + 7785.11i) q^{85} +(-49121.1 - 69575.2i) q^{86} +17268.3 q^{87} +(-63145.9 + 17711.4i) q^{88} +65945.5i q^{89} +(-67542.4 + 29264.9i) q^{90} +(3165.46 - 3165.46i) q^{91} +(-144095. - 51181.7i) q^{92} +(14667.6 - 14667.6i) q^{93} +(4678.52 - 27149.8i) q^{94} +(-13527.9 + 64774.2i) q^{95} +(18480.6 + 1255.58i) q^{96} -167305. i q^{97} +(69105.0 + 11908.4i) q^{98} +(59632.8 + 59632.8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.57469 0.960646i −0.985475 0.169820i
\(3\) −2.26113 + 2.26113i −0.145051 + 0.145051i −0.775903 0.630852i \(-0.782706\pi\)
0.630852 + 0.775903i \(0.282706\pi\)
\(4\) 30.1543 + 10.7106i 0.942322 + 0.334706i
\(5\) −30.6126 46.7747i −0.547615 0.836731i
\(6\) 14.7772 10.4329i 0.167577 0.118312i
\(7\) 66.4138 0.512287 0.256144 0.966639i \(-0.417548\pi\)
0.256144 + 0.966639i \(0.417548\pi\)
\(8\) −157.812 88.6759i −0.871796 0.489870i
\(9\) 232.775i 0.957920i
\(10\) 125.722 + 290.162i 0.397567 + 0.917573i
\(11\) 256.183 256.183i 0.638363 0.638363i −0.311788 0.950152i \(-0.600928\pi\)
0.950152 + 0.311788i \(0.100928\pi\)
\(12\) −92.4009 + 43.9647i −0.185235 + 0.0881356i
\(13\) 47.6627 47.6627i 0.0782205 0.0782205i −0.666914 0.745135i \(-0.732385\pi\)
0.745135 + 0.666914i \(0.232385\pi\)
\(14\) −370.236 63.8002i −0.504846 0.0869965i
\(15\) 174.983 + 36.5445i 0.200801 + 0.0419367i
\(16\) 794.566 + 645.942i 0.775943 + 0.630803i
\(17\) 254.311i 0.213424i −0.994290 0.106712i \(-0.965968\pi\)
0.994290 0.106712i \(-0.0340322\pi\)
\(18\) 223.614 1297.65i 0.162674 0.944006i
\(19\) −837.013 837.013i −0.531922 0.531922i 0.389222 0.921144i \(-0.372744\pi\)
−0.921144 + 0.389222i \(0.872744\pi\)
\(20\) −422.117 1738.34i −0.235971 0.971760i
\(21\) −150.170 + 150.170i −0.0743080 + 0.0743080i
\(22\) −1674.24 + 1182.04i −0.737498 + 0.520684i
\(23\) −4778.60 −1.88357 −0.941783 0.336222i \(-0.890851\pi\)
−0.941783 + 0.336222i \(0.890851\pi\)
\(24\) 557.341 156.325i 0.197512 0.0553989i
\(25\) −1250.74 + 2863.79i −0.400236 + 0.916412i
\(26\) −311.492 + 219.918i −0.0903677 + 0.0638009i
\(27\) −1075.79 1075.79i −0.283999 0.283999i
\(28\) 2002.66 + 711.332i 0.482740 + 0.171466i
\(29\) −3818.51 3818.51i −0.843139 0.843139i 0.146127 0.989266i \(-0.453319\pi\)
−0.989266 + 0.146127i \(0.953319\pi\)
\(30\) −940.367 371.821i −0.190763 0.0754276i
\(31\) −6486.85 −1.21236 −0.606178 0.795329i \(-0.707298\pi\)
−0.606178 + 0.795329i \(0.707298\pi\)
\(32\) −3808.94 4364.22i −0.657550 0.753411i
\(33\) 1158.52i 0.185191i
\(34\) −244.303 + 1417.70i −0.0362436 + 0.210324i
\(35\) −2033.10 3106.48i −0.280536 0.428646i
\(36\) −2493.16 + 7019.16i −0.320622 + 0.902670i
\(37\) −3512.46 3512.46i −0.421800 0.421800i 0.464023 0.885823i \(-0.346405\pi\)
−0.885823 + 0.464023i \(0.846405\pi\)
\(38\) 3862.01 + 5470.16i 0.433865 + 0.614527i
\(39\) 215.543i 0.0226920i
\(40\) 683.245 + 10096.2i 0.0675190 + 0.997718i
\(41\) 16789.7i 1.55985i −0.625873 0.779925i \(-0.715257\pi\)
0.625873 0.779925i \(-0.284743\pi\)
\(42\) 981.413 692.892i 0.0858477 0.0606097i
\(43\) 10646.0 + 10646.0i 0.878042 + 0.878042i 0.993332 0.115289i \(-0.0367796\pi\)
−0.115289 + 0.993332i \(0.536780\pi\)
\(44\) 10468.9 4981.14i 0.815208 0.387880i
\(45\) 10888.0 7125.84i 0.801521 0.524571i
\(46\) 26639.2 + 4590.54i 1.85621 + 0.319867i
\(47\) 4870.18i 0.321589i 0.986988 + 0.160794i \(0.0514056\pi\)
−0.986988 + 0.160794i \(0.948594\pi\)
\(48\) −3257.17 + 336.057i −0.204051 + 0.0210528i
\(49\) −12396.2 −0.737562
\(50\) 9723.56 14763.2i 0.550047 0.835133i
\(51\) 575.029 + 575.029i 0.0309574 + 0.0309574i
\(52\) 1947.73 926.740i 0.0998898 0.0475280i
\(53\) 7202.68 + 7202.68i 0.352212 + 0.352212i 0.860932 0.508720i \(-0.169881\pi\)
−0.508720 + 0.860932i \(0.669881\pi\)
\(54\) 4963.73 + 7030.63i 0.231645 + 0.328103i
\(55\) −19825.3 4140.44i −0.883715 0.184561i
\(56\) −10480.9 5889.31i −0.446610 0.250954i
\(57\) 3785.19 0.154312
\(58\) 17618.8 + 24955.2i 0.687710 + 0.974074i
\(59\) −5669.21 + 5669.21i −0.212028 + 0.212028i −0.805128 0.593101i \(-0.797904\pi\)
0.593101 + 0.805128i \(0.297904\pi\)
\(60\) 4885.07 + 2976.14i 0.175183 + 0.106727i
\(61\) −15449.2 15449.2i −0.531597 0.531597i 0.389450 0.921047i \(-0.372665\pi\)
−0.921047 + 0.389450i \(0.872665\pi\)
\(62\) 36162.2 + 6231.57i 1.19475 + 0.205882i
\(63\) 15459.5i 0.490730i
\(64\) 17041.2 + 27988.2i 0.520055 + 0.854133i
\(65\) −3688.49 770.327i −0.108284 0.0226148i
\(66\) 1112.93 6458.41i 0.0314491 0.182501i
\(67\) −19379.5 + 19379.5i −0.527420 + 0.527420i −0.919802 0.392382i \(-0.871651\pi\)
0.392382 + 0.919802i \(0.371651\pi\)
\(68\) 2723.82 7668.56i 0.0714342 0.201114i
\(69\) 10805.0 10805.0i 0.273214 0.273214i
\(70\) 8349.67 + 19270.8i 0.203669 + 0.470061i
\(71\) 28725.4i 0.676270i −0.941098 0.338135i \(-0.890204\pi\)
0.941098 0.338135i \(-0.109796\pi\)
\(72\) 20641.5 36734.6i 0.469256 0.835110i
\(73\) 65390.0 1.43616 0.718082 0.695958i \(-0.245020\pi\)
0.718082 + 0.695958i \(0.245020\pi\)
\(74\) 16206.6 + 22955.1i 0.344044 + 0.487304i
\(75\) −3647.32 9303.47i −0.0748721 0.190982i
\(76\) −16274.6 34204.5i −0.323205 0.679280i
\(77\) 17014.1 17014.1i 0.327025 0.327025i
\(78\) 207.061 1201.59i 0.00385355 0.0223624i
\(79\) −5440.69 −0.0980813 −0.0490407 0.998797i \(-0.515616\pi\)
−0.0490407 + 0.998797i \(0.515616\pi\)
\(80\) 5890.00 56939.5i 0.102894 0.994692i
\(81\) −51699.2 −0.875531
\(82\) −16128.9 + 93597.3i −0.264894 + 1.53719i
\(83\) −42555.2 + 42555.2i −0.678043 + 0.678043i −0.959557 0.281514i \(-0.909163\pi\)
0.281514 + 0.959557i \(0.409163\pi\)
\(84\) −6136.70 + 2919.87i −0.0948935 + 0.0451507i
\(85\) −11895.3 + 7785.11i −0.178578 + 0.116874i
\(86\) −49121.1 69575.2i −0.716180 1.01440i
\(87\) 17268.3 0.244597
\(88\) −63145.9 + 17711.4i −0.869237 + 0.243807i
\(89\) 65945.5i 0.882491i 0.897386 + 0.441246i \(0.145463\pi\)
−0.897386 + 0.441246i \(0.854537\pi\)
\(90\) −67542.4 + 29264.9i −0.878962 + 0.380838i
\(91\) 3165.46 3165.46i 0.0400713 0.0400713i
\(92\) −144095. 51181.7i −1.77493 0.630442i
\(93\) 14667.6 14667.6i 0.175854 0.175854i
\(94\) 4678.52 27149.8i 0.0546121 0.316918i
\(95\) −13527.9 + 64774.2i −0.153787 + 0.736364i
\(96\) 18480.6 + 1255.58i 0.204662 + 0.0139048i
\(97\) 167305.i 1.80543i −0.430244 0.902713i \(-0.641573\pi\)
0.430244 0.902713i \(-0.358427\pi\)
\(98\) 69105.0 + 11908.4i 0.726849 + 0.125253i
\(99\) 59632.8 + 59632.8i 0.611501 + 0.611501i
\(100\) −68388.0 + 72959.4i −0.683880 + 0.729594i
\(101\) 89906.4 89906.4i 0.876975 0.876975i −0.116245 0.993221i \(-0.537086\pi\)
0.993221 + 0.116245i \(0.0370859\pi\)
\(102\) −2653.21 3758.01i −0.0252506 0.0357649i
\(103\) −134352. −1.24782 −0.623908 0.781498i \(-0.714456\pi\)
−0.623908 + 0.781498i \(0.714456\pi\)
\(104\) −11748.3 + 3295.20i −0.106510 + 0.0298744i
\(105\) 11621.3 + 2427.06i 0.102868 + 0.0214836i
\(106\) −33233.5 47071.9i −0.287284 0.406909i
\(107\) −92418.3 92418.3i −0.780366 0.780366i 0.199526 0.979893i \(-0.436060\pi\)
−0.979893 + 0.199526i \(0.936060\pi\)
\(108\) −20917.3 43962.0i −0.172562 0.362675i
\(109\) 61408.0 + 61408.0i 0.495061 + 0.495061i 0.909896 0.414835i \(-0.136161\pi\)
−0.414835 + 0.909896i \(0.636161\pi\)
\(110\) 106542. + 42126.7i 0.839537 + 0.331952i
\(111\) 15884.2 0.122365
\(112\) 52770.2 + 42899.5i 0.397506 + 0.323152i
\(113\) 47676.5i 0.351243i −0.984458 0.175622i \(-0.943806\pi\)
0.984458 0.175622i \(-0.0561935\pi\)
\(114\) −21101.3 3636.23i −0.152071 0.0262053i
\(115\) 146285. + 223517.i 1.03147 + 1.57604i
\(116\) −74246.0 156043.i −0.512304 1.07671i
\(117\) 11094.7 + 11094.7i 0.0749290 + 0.0749290i
\(118\) 37050.2 26158.0i 0.244955 0.172942i
\(119\) 16889.7i 0.109334i
\(120\) −24373.7 21283.9i −0.154514 0.134927i
\(121\) 29792.0i 0.184985i
\(122\) 71283.5 + 100966.i 0.433600 + 0.614151i
\(123\) 37963.6 + 37963.6i 0.226259 + 0.226259i
\(124\) −195607. 69478.1i −1.14243 0.405783i
\(125\) 172241. 29165.2i 0.985965 0.166951i
\(126\) 14851.1 86181.6i 0.0833357 0.483602i
\(127\) 88359.2i 0.486119i 0.970011 + 0.243059i \(0.0781510\pi\)
−0.970011 + 0.243059i \(0.921849\pi\)
\(128\) −68112.4 172396.i −0.367452 0.930042i
\(129\) −48144.0 −0.254723
\(130\) 19822.2 + 7837.67i 0.102871 + 0.0406751i
\(131\) 61794.1 + 61794.1i 0.314607 + 0.314607i 0.846691 0.532084i \(-0.178591\pi\)
−0.532084 + 0.846691i \(0.678591\pi\)
\(132\) −12408.5 + 34934.5i −0.0619847 + 0.174510i
\(133\) −55589.3 55589.3i −0.272497 0.272497i
\(134\) 126652. 89418.1i 0.609326 0.430193i
\(135\) −17386.9 + 83252.3i −0.0821086 + 0.393153i
\(136\) −22551.2 + 40133.2i −0.104550 + 0.186062i
\(137\) 125221. 0.570001 0.285000 0.958527i \(-0.408006\pi\)
0.285000 + 0.958527i \(0.408006\pi\)
\(138\) −70614.4 + 49854.8i −0.315643 + 0.222848i
\(139\) −139773. + 139773.i −0.613602 + 0.613602i −0.943883 0.330281i \(-0.892857\pi\)
0.330281 + 0.943883i \(0.392857\pi\)
\(140\) −28034.4 115450.i −0.120885 0.497820i
\(141\) −11012.1 11012.1i −0.0466469 0.0466469i
\(142\) −27594.9 + 160135.i −0.114844 + 0.666447i
\(143\) 24420.7i 0.0998661i
\(144\) −150359. + 184955.i −0.604259 + 0.743292i
\(145\) −61715.0 + 295504.i −0.243765 + 1.16719i
\(146\) −364529. 62816.7i −1.41530 0.243889i
\(147\) 28029.4 28029.4i 0.106984 0.106984i
\(148\) −68295.2 143536.i −0.256292 0.538651i
\(149\) 277476. 277476.i 1.02390 1.02390i 0.0241969 0.999707i \(-0.492297\pi\)
0.999707 0.0241969i \(-0.00770287\pi\)
\(150\) 11395.3 + 55367.7i 0.0413521 + 0.200923i
\(151\) 448002.i 1.59896i −0.600692 0.799480i \(-0.705108\pi\)
0.600692 0.799480i \(-0.294892\pi\)
\(152\) 57867.7 + 206314.i 0.203155 + 0.724300i
\(153\) 59197.1 0.204443
\(154\) −111193. + 78503.6i −0.377811 + 0.266740i
\(155\) 198579. + 303420.i 0.663904 + 1.01441i
\(156\) −2308.60 + 6499.55i −0.00759516 + 0.0213832i
\(157\) 128294. 128294.i 0.415390 0.415390i −0.468221 0.883611i \(-0.655105\pi\)
0.883611 + 0.468221i \(0.155105\pi\)
\(158\) 30330.2 + 5226.58i 0.0966567 + 0.0166562i
\(159\) −32572.4 −0.102178
\(160\) −87533.6 + 311762.i −0.270318 + 0.962771i
\(161\) −317365. −0.964926
\(162\) 288207. + 49664.7i 0.862814 + 0.148683i
\(163\) 105977. 105977.i 0.312423 0.312423i −0.533425 0.845847i \(-0.679095\pi\)
0.845847 + 0.533425i \(0.179095\pi\)
\(164\) 179828. 506282.i 0.522092 1.46988i
\(165\) 54189.5 35465.4i 0.154955 0.101413i
\(166\) 278113. 196352.i 0.783340 0.553050i
\(167\) −120670. −0.334818 −0.167409 0.985888i \(-0.553540\pi\)
−0.167409 + 0.985888i \(0.553540\pi\)
\(168\) 37015.1 10382.2i 0.101183 0.0283801i
\(169\) 366750.i 0.987763i
\(170\) 73791.3 31972.4i 0.195832 0.0848502i
\(171\) 194835. 194835.i 0.509539 0.509539i
\(172\) 206998. + 435048.i 0.533513 + 1.12129i
\(173\) 121879. 121879.i 0.309609 0.309609i −0.535149 0.844758i \(-0.679744\pi\)
0.844758 + 0.535149i \(0.179744\pi\)
\(174\) −96265.3 16588.7i −0.241044 0.0415374i
\(175\) −83066.2 + 190195.i −0.205036 + 0.469466i
\(176\) 369033. 38074.8i 0.898015 0.0926522i
\(177\) 25637.6i 0.0615099i
\(178\) 63350.3 367626.i 0.149865 0.869673i
\(179\) 160564. + 160564.i 0.374554 + 0.374554i 0.869133 0.494579i \(-0.164678\pi\)
−0.494579 + 0.869133i \(0.664678\pi\)
\(180\) 404641. 98258.1i 0.930869 0.226041i
\(181\) 147919. 147919.i 0.335603 0.335603i −0.519106 0.854710i \(-0.673735\pi\)
0.854710 + 0.519106i \(0.173735\pi\)
\(182\) −20687.4 + 14605.6i −0.0462942 + 0.0326844i
\(183\) 69865.5 0.154218
\(184\) 754119. + 423747.i 1.64208 + 0.922702i
\(185\) −56768.5 + 271819.i −0.121949 + 0.583917i
\(186\) −95857.8 + 67677.0i −0.203163 + 0.143436i
\(187\) −65150.0 65150.0i −0.136242 0.136242i
\(188\) −52162.6 + 146857.i −0.107638 + 0.303040i
\(189\) −71447.2 71447.2i −0.145489 0.145489i
\(190\) 137639. 348100.i 0.276603 0.699553i
\(191\) −795129. −1.57708 −0.788540 0.614983i \(-0.789163\pi\)
−0.788540 + 0.614983i \(0.789163\pi\)
\(192\) −101817. 24752.7i −0.199328 0.0484585i
\(193\) 798350.i 1.54277i 0.636372 + 0.771383i \(0.280435\pi\)
−0.636372 + 0.771383i \(0.719565\pi\)
\(194\) −160721. + 932673.i −0.306597 + 1.77920i
\(195\) 10082.0 6598.33i 0.0189871 0.0124265i
\(196\) −373799. 132771.i −0.695021 0.246867i
\(197\) −480510. 480510.i −0.882138 0.882138i 0.111614 0.993752i \(-0.464398\pi\)
−0.993752 + 0.111614i \(0.964398\pi\)
\(198\) −275148. 389720.i −0.498774 0.706464i
\(199\) 557020.i 0.997098i −0.866862 0.498549i \(-0.833866\pi\)
0.866862 0.498549i \(-0.166134\pi\)
\(200\) 451330. 341029.i 0.797847 0.602860i
\(201\) 87639.3i 0.153006i
\(202\) −587569. + 414832.i −1.01316 + 0.715309i
\(203\) −253602. 253602.i −0.431929 0.431929i
\(204\) 11180.7 + 23498.5i 0.0188102 + 0.0395335i
\(205\) −785332. + 513976.i −1.30517 + 0.854197i
\(206\) 748970. + 129065.i 1.22969 + 0.211904i
\(207\) 1.11234e6i 1.80431i
\(208\) 68658.5 7083.80i 0.110036 0.0113529i
\(209\) −428856. −0.679119
\(210\) −62453.4 24694.0i −0.0977255 0.0386406i
\(211\) 450126. + 450126.i 0.696029 + 0.696029i 0.963552 0.267522i \(-0.0862049\pi\)
−0.267522 + 0.963552i \(0.586205\pi\)
\(212\) 140047. + 294337.i 0.214010 + 0.449785i
\(213\) 64951.8 + 64951.8i 0.0980939 + 0.0980939i
\(214\) 426422. + 603985.i 0.636510 + 0.901553i
\(215\) 172061. 823865.i 0.253856 1.21551i
\(216\) 74375.6 + 265169.i 0.108467 + 0.386712i
\(217\) −430817. −0.621074
\(218\) −283339. 401322.i −0.403799 0.571941i
\(219\) −147855. + 147855.i −0.208318 + 0.208318i
\(220\) −553471. 337193.i −0.770971 0.469701i
\(221\) −12121.1 12121.1i −0.0166941 0.0166941i
\(222\) −88549.7 15259.1i −0.120588 0.0207801i
\(223\) 742462.i 0.999798i 0.866084 + 0.499899i \(0.166629\pi\)
−0.866084 + 0.499899i \(0.833371\pi\)
\(224\) −252966. 289845.i −0.336854 0.385963i
\(225\) −666617. 291140.i −0.877850 0.383394i
\(226\) −45800.2 + 265782.i −0.0596481 + 0.346141i
\(227\) 682718. 682718.i 0.879381 0.879381i −0.114090 0.993470i \(-0.536395\pi\)
0.993470 + 0.114090i \(0.0363952\pi\)
\(228\) 114140. + 40541.7i 0.145412 + 0.0516493i
\(229\) 591031. 591031.i 0.744769 0.744769i −0.228723 0.973492i \(-0.573455\pi\)
0.973492 + 0.228723i \(0.0734550\pi\)
\(230\) −600774. 1.38657e6i −0.748844 1.72831i
\(231\) 76942.0i 0.0948710i
\(232\) 263996. + 941216.i 0.322016 + 1.14807i
\(233\) −640015. −0.772325 −0.386163 0.922431i \(-0.626200\pi\)
−0.386163 + 0.922431i \(0.626200\pi\)
\(234\) −51191.3 72507.4i −0.0611162 0.0865650i
\(235\) 227801. 149089.i 0.269083 0.176107i
\(236\) −231672. + 110231.i −0.270766 + 0.128831i
\(237\) 12302.1 12302.1i 0.0142268 0.0142268i
\(238\) −16225.1 + 94155.1i −0.0185671 + 0.107746i
\(239\) −1.35986e6 −1.53993 −0.769964 0.638087i \(-0.779726\pi\)
−0.769964 + 0.638087i \(0.779726\pi\)
\(240\) 115430. + 142066.i 0.129357 + 0.159207i
\(241\) −1.01269e6 −1.12314 −0.561569 0.827430i \(-0.689802\pi\)
−0.561569 + 0.827430i \(0.689802\pi\)
\(242\) 28619.5 166081.i 0.0314141 0.182298i
\(243\) 378315. 378315.i 0.410996 0.410996i
\(244\) −300391. 631332.i −0.323007 0.678865i
\(245\) 379480. + 579828.i 0.403900 + 0.617141i
\(246\) −175166. 248105.i −0.184549 0.261395i
\(247\) −79788.6 −0.0832144
\(248\) 1.02370e6 + 575228.i 1.05693 + 0.593896i
\(249\) 192446.i 0.196702i
\(250\) −988208. 2875.73i −0.999996 0.00291004i
\(251\) −916451. + 916451.i −0.918174 + 0.918174i −0.996897 0.0787222i \(-0.974916\pi\)
0.0787222 + 0.996897i \(0.474916\pi\)
\(252\) −165580. + 466169.i −0.164251 + 0.462426i
\(253\) −1.22419e6 + 1.22419e6i −1.20240 + 1.20240i
\(254\) 84881.9 492575.i 0.0825526 0.479058i
\(255\) 9293.65 44499.9i 0.00895027 0.0428557i
\(256\) 214093. + 1.02649e6i 0.204175 + 0.978934i
\(257\) 214074.i 0.202176i −0.994877 0.101088i \(-0.967768\pi\)
0.994877 0.101088i \(-0.0322324\pi\)
\(258\) 268388. + 46249.3i 0.251023 + 0.0432570i
\(259\) −233276. 233276.i −0.216083 0.216083i
\(260\) −102973. 62734.6i −0.0944693 0.0575538i
\(261\) 888852. 888852.i 0.807659 0.807659i
\(262\) −285121. 403845.i −0.256611 0.363464i
\(263\) 1.04512e6 0.931700 0.465850 0.884864i \(-0.345749\pi\)
0.465850 + 0.884864i \(0.345749\pi\)
\(264\) 102733. 182829.i 0.0907196 0.161449i
\(265\) 116410. 557396.i 0.101830 0.487583i
\(266\) 256491. + 363294.i 0.222264 + 0.314814i
\(267\) −149111. 149111.i −0.128007 0.128007i
\(268\) −791944. + 376810.i −0.673531 + 0.320469i
\(269\) 1.09107e6 + 1.09107e6i 0.919328 + 0.919328i 0.996980 0.0776525i \(-0.0247425\pi\)
−0.0776525 + 0.996980i \(0.524742\pi\)
\(270\) 176903. 447403.i 0.147681 0.373499i
\(271\) 1.96358e6 1.62415 0.812074 0.583554i \(-0.198338\pi\)
0.812074 + 0.583554i \(0.198338\pi\)
\(272\) 164270. 202067.i 0.134628 0.165605i
\(273\) 14315.0i 0.0116248i
\(274\) −698067. 120293.i −0.561721 0.0967974i
\(275\) 413236. + 1.05407e6i 0.329508 + 0.840500i
\(276\) 441546. 210090.i 0.348902 0.166009i
\(277\) −718945. 718945.i −0.562984 0.562984i 0.367170 0.930154i \(-0.380327\pi\)
−0.930154 + 0.367170i \(0.880327\pi\)
\(278\) 913465. 644920.i 0.708892 0.500488i
\(279\) 1.50997e6i 1.16134i
\(280\) 45376.9 + 670527.i 0.0345891 + 0.511118i
\(281\) 2.36545e6i 1.78710i 0.448964 + 0.893550i \(0.351793\pi\)
−0.448964 + 0.893550i \(0.648207\pi\)
\(282\) 50810.4 + 71967.9i 0.0380478 + 0.0538910i
\(283\) 518192. + 518192.i 0.384613 + 0.384613i 0.872761 0.488148i \(-0.162327\pi\)
−0.488148 + 0.872761i \(0.662327\pi\)
\(284\) 307666. 866194.i 0.226352 0.637264i
\(285\) −115875. 177051.i −0.0845037 0.129118i
\(286\) −23459.7 + 136138.i −0.0169593 + 0.0984156i
\(287\) 1.11507e6i 0.799091i
\(288\) 1.01588e6 886623.i 0.721708 0.629880i
\(289\) 1.35518e6 0.954450
\(290\) 627917. 1.58806e6i 0.438437 1.10885i
\(291\) 378298. + 378298.i 0.261880 + 0.261880i
\(292\) 1.97179e6 + 700367.i 1.35333 + 0.480694i
\(293\) 949813. + 949813.i 0.646352 + 0.646352i 0.952109 0.305758i \(-0.0989097\pi\)
−0.305758 + 0.952109i \(0.598910\pi\)
\(294\) −183182. + 129329.i −0.123599 + 0.0872624i
\(295\) 438725. + 91626.2i 0.293520 + 0.0613006i
\(296\) 242837. + 865778.i 0.161096 + 0.574351i
\(297\) −551196. −0.362589
\(298\) −1.81340e6 + 1.28028e6i −1.18291 + 0.835153i
\(299\) −227761. + 227761.i −0.147333 + 0.147333i
\(300\) −10336.5 319605.i −0.00663086 0.205027i
\(301\) 707042. + 707042.i 0.449810 + 0.449810i
\(302\) −430372. + 2.49747e6i −0.271535 + 1.57574i
\(303\) 406580.i 0.254413i
\(304\) −124400. 1.20572e6i −0.0772034 0.748280i
\(305\) −249692. + 1.19557e6i −0.153693 + 0.735914i
\(306\) −330005. 56867.4i −0.201473 0.0347184i
\(307\) 1.29607e6 1.29607e6i 0.784840 0.784840i −0.195804 0.980643i \(-0.562731\pi\)
0.980643 + 0.195804i \(0.0627315\pi\)
\(308\) 695279. 330817.i 0.417621 0.198706i
\(309\) 303787. 303787.i 0.180998 0.180998i
\(310\) −815539. 1.88224e6i −0.481993 1.11242i
\(311\) 1.07992e6i 0.633129i 0.948571 + 0.316564i \(0.102529\pi\)
−0.948571 + 0.316564i \(0.897471\pi\)
\(312\) 19113.5 34015.3i 0.0111161 0.0197828i
\(313\) 2.28056e6 1.31577 0.657885 0.753118i \(-0.271451\pi\)
0.657885 + 0.753118i \(0.271451\pi\)
\(314\) −838441. + 591952.i −0.479898 + 0.338815i
\(315\) 723111. 473254.i 0.410609 0.268731i
\(316\) −164060. 58273.1i −0.0924242 0.0328285i
\(317\) 720747. 720747.i 0.402842 0.402842i −0.476391 0.879233i \(-0.658055\pi\)
0.879233 + 0.476391i \(0.158055\pi\)
\(318\) 181581. + 31290.5i 0.100694 + 0.0173518i
\(319\) −1.95647e6 −1.07646
\(320\) 787466. 1.65389e6i 0.429889 0.902882i
\(321\) 417939. 0.226387
\(322\) 1.76921e6 + 304875.i 0.950911 + 0.163864i
\(323\) −212861. + 212861.i −0.113525 + 0.113525i
\(324\) −1.55896e6 553730.i −0.825033 0.293046i
\(325\) 76882.4 + 196109.i 0.0403755 + 0.102989i
\(326\) −692595. + 488982.i −0.360940 + 0.254829i
\(327\) −277703. −0.143619
\(328\) −1.48884e6 + 2.64961e6i −0.764124 + 1.35987i
\(329\) 323448.i 0.164746i
\(330\) −336160. + 145652.i −0.169926 + 0.0736259i
\(331\) 1.70207e6 1.70207e6i 0.853899 0.853899i −0.136712 0.990611i \(-0.543653\pi\)
0.990611 + 0.136712i \(0.0436535\pi\)
\(332\) −1.73902e6 + 827431.i −0.865881 + 0.411990i
\(333\) 817611. 817611.i 0.404051 0.404051i
\(334\) 672698. + 115921.i 0.329955 + 0.0568587i
\(335\) 1.49973e6 + 313213.i 0.730131 + 0.152485i
\(336\) −216321. + 22318.8i −0.104532 + 0.0107851i
\(337\) 1.07614e6i 0.516172i −0.966122 0.258086i \(-0.916908\pi\)
0.966122 0.258086i \(-0.0830918\pi\)
\(338\) 352317. 2.04451e6i 0.167742 0.973416i
\(339\) 107803. + 107803.i 0.0509484 + 0.0509484i
\(340\) −442078. + 107349.i −0.207396 + 0.0503617i
\(341\) −1.66182e6 + 1.66182e6i −0.773923 + 0.773923i
\(342\) −1.27331e6 + 898979.i −0.588668 + 0.415608i
\(343\) −1.93950e6 −0.890131
\(344\) −736021. 2.62411e6i −0.335347 1.19560i
\(345\) −836171. 174631.i −0.378223 0.0789904i
\(346\) −796521. + 562356.i −0.357690 + 0.252534i
\(347\) 5508.36 + 5508.36i 0.00245583 + 0.00245583i 0.708334 0.705878i \(-0.249447\pi\)
−0.705878 + 0.708334i \(0.749447\pi\)
\(348\) 520713. + 184954.i 0.230489 + 0.0818682i
\(349\) 402220. + 402220.i 0.176767 + 0.176767i 0.789945 0.613178i \(-0.210109\pi\)
−0.613178 + 0.789945i \(0.710109\pi\)
\(350\) 645779. 980481.i 0.281782 0.427828i
\(351\) −102550. −0.0444291
\(352\) −2.09382e6 142255.i −0.900706 0.0611943i
\(353\) 575265.i 0.245715i 0.992424 + 0.122857i \(0.0392058\pi\)
−0.992424 + 0.122857i \(0.960794\pi\)
\(354\) −24628.7 + 142922.i −0.0104456 + 0.0606165i
\(355\) −1.34362e6 + 879359.i −0.565855 + 0.370335i
\(356\) −706317. + 1.98854e6i −0.295376 + 0.831591i
\(357\) 38189.9 + 38189.9i 0.0158591 + 0.0158591i
\(358\) −740848. 1.04934e6i −0.305507 0.432721i
\(359\) 3.03875e6i 1.24440i 0.782859 + 0.622199i \(0.213761\pi\)
−0.782859 + 0.622199i \(0.786239\pi\)
\(360\) −2.35014e6 + 159042.i −0.955734 + 0.0646778i
\(361\) 1.07492e6i 0.434117i
\(362\) −966697. + 682502.i −0.387721 + 0.273737i
\(363\) −67363.5 67363.5i −0.0268323 0.0268323i
\(364\) 129356. 61548.3i 0.0511723 0.0243480i
\(365\) −2.00176e6 3.05860e6i −0.786465 1.20168i
\(366\) −389478. 67116.0i −0.151978 0.0261893i
\(367\) 612277.i 0.237292i 0.992937 + 0.118646i \(0.0378554\pi\)
−0.992937 + 0.118646i \(0.962145\pi\)
\(368\) −3.79691e6 3.08670e6i −1.46154 1.18816i
\(369\) 3.90821e6 1.49421
\(370\) 577589. 1.46077e6i 0.219338 0.554726i
\(371\) 478357. + 478357.i 0.180434 + 0.180434i
\(372\) 599391. 285193.i 0.224571 0.106852i
\(373\) −3.74086e6 3.74086e6i −1.39219 1.39219i −0.820398 0.571793i \(-0.806248\pi\)
−0.571793 0.820398i \(1.30625\pi\)
\(374\) 300605. + 425777.i 0.111126 + 0.157399i
\(375\) −323513. + 455405.i −0.118799 + 0.167232i
\(376\) 431868. 768573.i 0.157537 0.280360i
\(377\) −364001. −0.131901
\(378\) 329660. + 466931.i 0.118669 + 0.168083i
\(379\) −1.53347e6 + 1.53347e6i −0.548374 + 0.548374i −0.925970 0.377596i \(-0.876751\pi\)
0.377596 + 0.925970i \(0.376751\pi\)
\(380\) −1.10169e6 + 1.80833e6i −0.391383 + 0.642419i
\(381\) −199791. 199791.i −0.0705122 0.0705122i
\(382\) 4.43260e6 + 763837.i 1.55417 + 0.267820i
\(383\) 271582.i 0.0946027i −0.998881 0.0473014i \(-0.984938\pi\)
0.998881 0.0473014i \(-0.0150621\pi\)
\(384\) 543821. + 235799.i 0.188204 + 0.0816045i
\(385\) −1.31667e6 274982.i −0.452716 0.0945481i
\(386\) 766932. 4.45055e6i 0.261992 1.52036i
\(387\) −2.47812e6 + 2.47812e6i −0.841095 + 0.841095i
\(388\) 1.79194e6 5.04497e6i 0.604287 1.70129i
\(389\) −278186. + 278186.i −0.0932097 + 0.0932097i −0.752174 0.658964i \(-0.770995\pi\)
0.658964 + 0.752174i \(0.270995\pi\)
\(390\) −62542.4 + 27098.5i −0.0208216 + 0.00902159i
\(391\) 1.21525e6i 0.401997i
\(392\) 1.95627e6 + 1.09925e6i 0.643003 + 0.361309i
\(393\) −279449. −0.0912685
\(394\) 2.21709e6 + 3.14029e6i 0.719520 + 1.01913i
\(395\) 166554. + 254486.i 0.0537108 + 0.0820676i
\(396\) 1.15948e6 + 2.43689e6i 0.371558 + 0.780904i
\(397\) 1.72281e6 1.72281e6i 0.548607 0.548607i −0.377431 0.926038i \(-0.623192\pi\)
0.926038 + 0.377431i \(0.123192\pi\)
\(398\) −535099. + 3.10521e6i −0.169327 + 0.982615i
\(399\) 251389. 0.0790522
\(400\) −2.84363e6 + 1.46756e6i −0.888636 + 0.458614i
\(401\) −777998. −0.241611 −0.120806 0.992676i \(-0.538548\pi\)
−0.120806 + 0.992676i \(0.538548\pi\)
\(402\) −84190.4 + 488562.i −0.0259835 + 0.150784i
\(403\) −309181. + 309181.i −0.0948310 + 0.0948310i
\(404\) 3.67402e6 1.74811e6i 1.11992 0.532864i
\(405\) 1.58265e6 + 2.41821e6i 0.479454 + 0.732584i
\(406\) 1.17013e6 + 1.65737e6i 0.352305 + 0.499005i
\(407\) −1.79966e6 −0.538523
\(408\) −39755.2 141738.i −0.0118234 0.0421536i
\(409\) 4.13066e6i 1.22099i −0.792021 0.610494i \(-0.790971\pi\)
0.792021 0.610494i \(-0.209029\pi\)
\(410\) 4.87173e6 2.11083e6i 1.43128 0.620146i
\(411\) −283140. + 283140.i −0.0826794 + 0.0826794i
\(412\) −4.05129e6 1.43899e6i −1.17585 0.417652i
\(413\) −376514. + 376514.i −0.108619 + 0.108619i
\(414\) −1.06856e6 + 6.20093e6i −0.306407 + 1.77810i
\(415\) 3.29323e6 + 687780.i 0.938646 + 0.196033i
\(416\) −389555. 26466.5i −0.110366 0.00749832i
\(417\) 632090.i 0.178008i
\(418\) 2.39074e6 + 411979.i 0.669255 + 0.115328i
\(419\) −4.07144e6 4.07144e6i −1.13295 1.13295i −0.989683 0.143271i \(-0.954238\pi\)
−0.143271 0.989683i \(-0.545762\pi\)
\(420\) 324436. + 197657.i 0.0897441 + 0.0546751i
\(421\) −1.80514e6 + 1.80514e6i −0.496371 + 0.496371i −0.910306 0.413936i \(-0.864154\pi\)
0.413936 + 0.910306i \(0.364154\pi\)
\(422\) −2.07690e6 2.94172e6i −0.567720 0.804119i
\(423\) −1.13366e6 −0.308056
\(424\) −497964. 1.77537e6i −0.134519 0.479595i
\(425\) 728292. + 318076.i 0.195584 + 0.0854197i
\(426\) −299690. 424482.i −0.0800108 0.113327i
\(427\) −1.02604e6 1.02604e6i −0.272330 0.272330i
\(428\) −1.79695e6 3.77667e6i −0.474163 0.996550i
\(429\) 55218.4 + 55218.4i 0.0144857 + 0.0144857i
\(430\) −1.75063e6 + 4.42750e6i −0.456587 + 1.15475i
\(431\) 2.78891e6 0.723173 0.361586 0.932339i \(-0.382235\pi\)
0.361586 + 0.932339i \(0.382235\pi\)
\(432\) −159887. 1.54968e6i −0.0412197 0.399515i
\(433\) 4.95814e6i 1.27087i −0.772156 0.635433i \(-0.780822\pi\)
0.772156 0.635433i \(-0.219178\pi\)
\(434\) 2.40167e6 + 413863.i 0.612053 + 0.105471i
\(435\) −528627. 807718.i −0.133945 0.204662i
\(436\) 1.19400e6 + 2.50943e6i 0.300807 + 0.632207i
\(437\) 3.99975e6 + 3.99975e6i 1.00191 + 1.00191i
\(438\) 966284. 682210.i 0.240669 0.169916i
\(439\) 3615.91i 0.000895482i −1.00000 0.000447741i \(-0.999857\pi\)
1.00000 0.000447741i \(-0.000142520\pi\)
\(440\) 2.76150e6 + 2.41143e6i 0.680008 + 0.593805i
\(441\) 2.88552e6i 0.706525i
\(442\) 55927.4 + 79215.7i 0.0136166 + 0.0192866i
\(443\) −1.16803e6 1.16803e6i −0.282777 0.282777i 0.551439 0.834215i \(-0.314079\pi\)
−0.834215 + 0.551439i \(0.814079\pi\)
\(444\) 478978. + 170130.i 0.115308 + 0.0409565i
\(445\) 3.08458e6 2.01876e6i 0.738407 0.483265i
\(446\) 713243. 4.13899e6i 0.169785 0.985276i
\(447\) 1.25482e6i 0.297038i
\(448\) 1.13177e6 + 1.85881e6i 0.266417 + 0.437561i
\(449\) 1.06983e6 0.250438 0.125219 0.992129i \(-0.460037\pi\)
0.125219 + 0.992129i \(0.460037\pi\)
\(450\) 3.43650e6 + 2.26340e6i 0.799991 + 0.526902i
\(451\) −4.30123e6 4.30123e6i −0.995751 0.995751i
\(452\) 510644. 1.43765e6i 0.117563 0.330984i
\(453\) 1.01299e6 + 1.01299e6i 0.231932 + 0.231932i
\(454\) −4.46179e6 + 3.15009e6i −1.01594 + 0.717271i
\(455\) −244967. 51160.4i −0.0554726 0.0115852i
\(456\) −597348. 335655.i −0.134529 0.0755930i
\(457\) 2.84381e6 0.636958 0.318479 0.947930i \(-0.396828\pi\)
0.318479 + 0.947930i \(0.396828\pi\)
\(458\) −3.86258e6 + 2.72704e6i −0.860427 + 0.607474i
\(459\) −273584. + 273584.i −0.0606121 + 0.0606121i
\(460\) 2.01713e6 + 8.30681e6i 0.444466 + 1.83037i
\(461\) −4.74521e6 4.74521e6i −1.03993 1.03993i −0.999169 0.0407594i \(-0.987022\pi\)
−0.0407594 0.999169i \(-0.512978\pi\)
\(462\) 73914.0 428928.i 0.0161110 0.0934930i
\(463\) 5.74859e6i 1.24626i 0.782118 + 0.623130i \(0.214139\pi\)
−0.782118 + 0.623130i \(0.785861\pi\)
\(464\) −567521. 5.50059e6i −0.122373 1.18608i
\(465\) −1.13509e6 237059.i −0.243443 0.0508421i
\(466\) 3.56788e6 + 614828.i 0.761107 + 0.131156i
\(467\) −5.92099e6 + 5.92099e6i −1.25633 + 1.25633i −0.303491 + 0.952834i \(0.598152\pi\)
−0.952834 + 0.303491i \(0.901848\pi\)
\(468\) 215722. + 453383.i 0.0455280 + 0.0956864i
\(469\) −1.28707e6 + 1.28707e6i −0.270190 + 0.270190i
\(470\) −1.41314e6 + 612289.i −0.295081 + 0.127853i
\(471\) 580177.i 0.120506i
\(472\) 1.39739e6 391946.i 0.288711 0.0809788i
\(473\) 5.45464e6 1.12102
\(474\) −80398.4 + 56762.4i −0.0164362 + 0.0116042i
\(475\) 3.44391e6 1.35014e6i 0.700355 0.274566i
\(476\) 180899. 509299.i 0.0365948 0.103028i
\(477\) −1.67660e6 + 1.67660e6i −0.337391 + 0.337391i
\(478\) 7.58082e6 + 1.30635e6i 1.51756 + 0.261511i
\(479\) −6.72900e6 −1.34002 −0.670011 0.742351i \(-0.733711\pi\)
−0.670011 + 0.742351i \(0.733711\pi\)
\(480\) −507009. 902859.i −0.100441 0.178861i
\(481\) −334826. −0.0659868
\(482\) 5.64542e6 + 972835.i 1.10682 + 0.190731i
\(483\) 717603. 717603.i 0.139964 0.139964i
\(484\) −319090. + 898357.i −0.0619156 + 0.174315i
\(485\) −7.82563e6 + 5.12164e6i −1.51065 + 0.988678i
\(486\) −2.47242e6 + 1.74556e6i −0.474822 + 0.335231i
\(487\) 8.63140e6 1.64915 0.824573 0.565756i \(-0.191415\pi\)
0.824573 + 0.565756i \(0.191415\pi\)
\(488\) 1.06810e6 + 3.80805e6i 0.203030 + 0.723857i
\(489\) 479255.i 0.0906347i
\(490\) −1.55847e6 3.59691e6i −0.293231 0.676767i
\(491\) 1.55549e6 1.55549e6i 0.291181 0.291181i −0.546366 0.837547i \(-0.683989\pi\)
0.837547 + 0.546366i \(0.183989\pi\)
\(492\) 738154. + 1.55138e6i 0.137478 + 0.288939i
\(493\) −971088. + 971088.i −0.179946 + 0.179946i
\(494\) 444797. + 76648.7i 0.0820058 + 0.0141315i
\(495\) 963788. 4.61482e6i 0.176794 0.846529i
\(496\) −5.15423e6 4.19013e6i −0.940719 0.764757i
\(497\) 1.90776e6i 0.346444i
\(498\) −184872. + 1.07282e6i −0.0334040 + 0.193845i
\(499\) −4.79493e6 4.79493e6i −0.862046 0.862046i 0.129529 0.991576i \(-0.458653\pi\)
−0.991576 + 0.129529i \(0.958653\pi\)
\(500\) 5.50619e6 + 965349.i 0.984977 + 0.172687i
\(501\) 272851. 272851.i 0.0485658 0.0485658i
\(502\) 5.98932e6 4.22855e6i 1.06076 0.748914i
\(503\) 56818.5 0.0100131 0.00500657 0.999987i \(-0.498406\pi\)
0.00500657 + 0.999987i \(0.498406\pi\)
\(504\) 1.37088e6 2.43968e6i 0.240394 0.427816i
\(505\) −6.95761e6 1.45307e6i −1.21404 0.253547i
\(506\) 8.00051e6 5.64848e6i 1.38913 0.980743i
\(507\) −829268. 829268.i −0.143277 0.143277i
\(508\) −946380. + 2.66441e6i −0.162707 + 0.458081i
\(509\) 3.73778e6 + 3.73778e6i 0.639469 + 0.639469i 0.950425 0.310955i \(-0.100649\pi\)
−0.310955 + 0.950425i \(0.600649\pi\)
\(510\) −94557.9 + 239145.i −0.0160980 + 0.0407133i
\(511\) 4.34280e6 0.735729
\(512\) −207414. 5.92801e6i −0.0349674 0.999388i
\(513\) 1.80090e6i 0.302131i
\(514\) −205649. + 1.19339e6i −0.0343336 + 0.199240i
\(515\) 4.11286e6 + 6.28426e6i 0.683323 + 1.04409i
\(516\) −1.45175e6 515651.i −0.240031 0.0852574i
\(517\) 1.24766e6 + 1.24766e6i 0.205290 + 0.205290i
\(518\) 1.07634e6 + 1.52454e6i 0.176249 + 0.249639i
\(519\) 551169.i 0.0898186i
\(520\) 513777. + 448647.i 0.0833233 + 0.0727606i
\(521\) 5.56461e6i 0.898133i −0.893498 0.449067i \(-0.851757\pi\)
0.893498 0.449067i \(-0.148243\pi\)
\(522\) −5.80895e6 + 4.10120e6i −0.933085 + 0.658772i
\(523\) −761055. 761055.i −0.121664 0.121664i 0.643653 0.765317i \(-0.277418\pi\)
−0.765317 + 0.643653i \(0.777418\pi\)
\(524\) 1.20151e6 + 2.52521e6i 0.191160 + 0.401762i
\(525\) −242232. 617879.i −0.0383560 0.0978375i
\(526\) −5.82621e6 1.00399e6i −0.918167 0.158221i
\(527\) 1.64968e6i 0.258745i
\(528\) −748339. + 920523.i −0.116819 + 0.143698i
\(529\) 1.63986e7 2.54782
\(530\) −1.18441e6 + 2.99548e6i −0.183152 + 0.463208i
\(531\) −1.31965e6 1.31965e6i −0.203106 0.203106i
\(532\) −1.08086e6 2.27165e6i −0.165574 0.347987i
\(533\) −800242. 800242.i −0.122012 0.122012i
\(534\) 688006. + 974493.i 0.104409 + 0.147885i
\(535\) −1.49367e6 + 7.15200e6i −0.225616 + 1.08030i
\(536\) 4.77682e6 1.33982e6i 0.718170 0.201435i
\(537\) −726111. −0.108659
\(538\) −5.03423e6 7.13049e6i −0.749855 1.06210i
\(539\) −3.17569e6 + 3.17569e6i −0.470832 + 0.470832i
\(540\) −1.41597e6 + 2.32419e6i −0.208964 + 0.342995i
\(541\) −3.65911e6 3.65911e6i −0.537505 0.537505i 0.385290 0.922796i \(-0.374101\pi\)
−0.922796 + 0.385290i \(0.874101\pi\)
\(542\) −1.09464e7 1.88631e6i −1.60056 0.275813i
\(543\) 668926.i 0.0973595i
\(544\) −1.10987e6 + 968653.i −0.160796 + 0.140337i
\(545\) 992479. 4.75220e6i 0.143130 0.685335i
\(546\) 13751.7 79801.9i 0.00197412 0.0114560i
\(547\) 1.55465e6 1.55465e6i 0.222160 0.222160i −0.587248 0.809407i \(-0.699789\pi\)
0.809407 + 0.587248i \(0.199789\pi\)
\(548\) 3.77595e6 + 1.34119e6i 0.537124 + 0.190783i
\(549\) 3.59619e6 3.59619e6i 0.509228 0.509228i
\(550\) −1.29107e6 6.27308e6i −0.181988 0.884249i
\(551\) 6.39229e6i 0.896969i
\(552\) −2.66331e6 + 747015.i −0.372026 + 0.104347i
\(553\) −361337. −0.0502458
\(554\) 3.31724e6 + 4.69855e6i 0.459201 + 0.650413i
\(555\) −486258. 742980.i −0.0670092 0.102387i
\(556\) −5.71182e6 + 2.71771e6i −0.783588 + 0.372834i
\(557\) −5.28251e6 + 5.28251e6i −0.721444 + 0.721444i −0.968899 0.247455i \(-0.920406\pi\)
0.247455 + 0.968899i \(0.420406\pi\)
\(558\) −1.45055e6 + 8.41764e6i −0.197219 + 1.14447i
\(559\) 1.01483e6 0.137362
\(560\) 391177. 3.78157e6i 0.0527113 0.509568i
\(561\) 294625. 0.0395241
\(562\) 2.27236e6 1.31867e7i 0.303485 1.76114i
\(563\) 6.46155e6 6.46155e6i 0.859144 0.859144i −0.132093 0.991237i \(-0.542170\pi\)
0.991237 + 0.132093i \(0.0421698\pi\)
\(564\) −214116. 450009.i −0.0283434 0.0595695i
\(565\) −2.23005e6 + 1.45950e6i −0.293896 + 0.192346i
\(566\) −2.39096e6 3.38656e6i −0.313712 0.444342i
\(567\) −3.43354e6 −0.448523
\(568\) −2.54725e6 + 4.53321e6i −0.331284 + 0.589569i
\(569\) 6.37259e6i 0.825154i 0.910923 + 0.412577i \(0.135371\pi\)
−0.910923 + 0.412577i \(0.864629\pi\)
\(570\) 475881. + 1.09832e6i 0.0613495 + 0.141593i
\(571\) 3.20773e6 3.20773e6i 0.411726 0.411726i −0.470614 0.882339i \(-0.655967\pi\)
0.882339 + 0.470614i \(0.155967\pi\)
\(572\) 261561. 736390.i 0.0334258 0.0941061i
\(573\) 1.79789e6 1.79789e6i 0.228758 0.228758i
\(574\) −1.07119e6 + 6.21615e6i −0.135702 + 0.787485i
\(575\) 5.97677e6 1.36849e7i 0.753871 1.72612i
\(576\) −6.51495e6 + 3.96675e6i −0.818191 + 0.498171i
\(577\) 3.93488e6i 0.492030i 0.969266 + 0.246015i \(0.0791213\pi\)
−0.969266 + 0.246015i \(0.920879\pi\)
\(578\) −7.55472e6 1.30185e6i −0.940587 0.162085i
\(579\) −1.80517e6 1.80517e6i −0.223780 0.223780i
\(580\) −5.02600e6 + 8.24972e6i −0.620373 + 1.01828i
\(581\) −2.82625e6 + 2.82625e6i −0.347353 + 0.347353i
\(582\) −1.74548e6 2.47230e6i −0.213603 0.302548i
\(583\) 3.69040e6 0.449679
\(584\) −1.03193e7 5.79852e6i −1.25204 0.703534i
\(585\) 179313. 858586.i 0.0216631 0.103728i
\(586\) −4.38248e6 6.20735e6i −0.527200 0.746727i
\(587\) 6.36340e6 + 6.36340e6i 0.762244 + 0.762244i 0.976728 0.214483i \(-0.0688068\pi\)
−0.214483 + 0.976728i \(0.568807\pi\)
\(588\) 1.14542e6 544996.i 0.136622 0.0650055i
\(589\) 5.42958e6 + 5.42958e6i 0.644879 + 0.644879i
\(590\) −2.35774e6 932247.i −0.278846 0.110256i
\(591\) 2.17299e6 0.255911
\(592\) −522034. 5.05972e6i −0.0612202 0.593366i
\(593\) 1.24717e7i 1.45643i 0.685350 + 0.728214i \(0.259649\pi\)
−0.685350 + 0.728214i \(0.740351\pi\)
\(594\) 3.07275e6 + 529504.i 0.357323 + 0.0615749i
\(595\) −790012. + 517039.i −0.0914832 + 0.0598730i
\(596\) 1.13390e7 5.39516e6i 1.30756 0.622140i
\(597\) 1.25949e6 + 1.25949e6i 0.144631 + 0.144631i
\(598\) 1.48849e6 1.05090e6i 0.170214 0.120173i
\(599\) 1.11762e7i 1.27270i 0.771401 + 0.636350i \(0.219557\pi\)
−0.771401 + 0.636350i \(0.780443\pi\)
\(600\) −249404. + 1.79163e6i −0.0282830 + 0.203175i
\(601\) 753684.i 0.0851144i 0.999094 + 0.0425572i \(0.0135505\pi\)
−0.999094 + 0.0425572i \(0.986450\pi\)
\(602\) −3.26232e6 4.62076e6i −0.366890 0.519663i
\(603\) −4.51107e6 4.51107e6i −0.505226 0.505226i
\(604\) 4.79838e6 1.35092e7i 0.535182 1.50674i
\(605\) 1.39351e6 912010.i 0.154782 0.101300i
\(606\) 390580. 2.26656e6i 0.0432044 0.250718i
\(607\) 5.79014e6i 0.637848i −0.947780 0.318924i \(-0.896679\pi\)
0.947780 0.318924i \(-0.103321\pi\)
\(608\) −464783. + 6.84104e6i −0.0509908 + 0.750522i
\(609\) 1.14685e6 0.125304
\(610\) 2.54048e6 6.42509e6i 0.276433 0.699125i
\(611\) 232126. + 232126.i 0.0251548 + 0.0251548i
\(612\) 1.78505e6 + 634037.i 0.192651 + 0.0684283i
\(613\) −1.03155e7 1.03155e7i −1.10876 1.10876i −0.993313 0.115449i \(-0.963169\pi\)
−0.115449 0.993313i \(1.46317\pi\)
\(614\) −8.47022e6 + 5.98010e6i −0.906721 + 0.640159i
\(615\) 613571. 2.93790e6i 0.0654149 0.313220i
\(616\) −4.19376e6 + 1.17628e6i −0.445299 + 0.124899i
\(617\) −1.37199e7 −1.45090 −0.725452 0.688273i \(-0.758369\pi\)
−0.725452 + 0.688273i \(0.758369\pi\)
\(618\) −1.98535e6 + 1.40169e6i −0.209106 + 0.147632i
\(619\) −3.49673e6 + 3.49673e6i −0.366805 + 0.366805i −0.866311 0.499506i \(-0.833515\pi\)
0.499506 + 0.866311i \(0.333515\pi\)
\(620\) 2.73821e6 + 1.12763e7i 0.286080 + 1.17812i
\(621\) 5.14076e6 + 5.14076e6i 0.534931 + 0.534931i
\(622\) 1.03742e6 6.02024e6i 0.107518 0.623933i
\(623\) 4.37969e6i 0.452089i
\(624\) −139228. + 171263.i −0.0143142 + 0.0176077i
\(625\) −6.63694e6 7.16369e6i −0.679622 0.733562i
\(626\) −1.27134e7 2.19081e6i −1.29666 0.223444i
\(627\) 969700. 969700.i 0.0985073 0.0985073i
\(628\) 5.24271e6 2.49450e6i 0.530465 0.252397i
\(629\) −893255. + 893255.i −0.0900221 + 0.0900221i
\(630\) −4.48575e6 + 1.94359e6i −0.450281 + 0.195098i
\(631\) 1.17422e7i 1.17402i −0.809580 0.587009i \(-0.800305\pi\)
0.809580 0.587009i \(-0.199695\pi\)
\(632\) 858605. + 482458.i 0.0855068 + 0.0480471i
\(633\) −2.03558e6 −0.201920
\(634\) −4.71032e6 + 3.32556e6i −0.465401 + 0.328580i
\(635\) 4.13297e6 2.70490e6i 0.406750 0.266206i
\(636\) −982198. 348870.i −0.0962844 0.0341996i
\(637\) −590837. + 590837.i −0.0576924 + 0.0576924i
\(638\) 1.09067e7 + 1.87948e6i 1.06082 + 0.182804i
\(639\) 6.68654e6 0.647812
\(640\) −5.97868e6 + 8.46343e6i −0.576972 + 0.816764i
\(641\) 4.66385e6 0.448332 0.224166 0.974551i \(-0.428034\pi\)
0.224166 + 0.974551i \(0.428034\pi\)
\(642\) −2.32988e6 401492.i −0.223098 0.0384449i
\(643\) 1.01852e7 1.01852e7i 0.971503 0.971503i −0.0281022 0.999605i \(-0.508946\pi\)
0.999605 + 0.0281022i \(0.00894637\pi\)
\(644\) −9.56992e6 3.39917e6i −0.909272 0.322967i
\(645\) 1.47381e6 + 2.25192e6i 0.139490 + 0.213134i
\(646\) 1.39112e6 982152.i 0.131155 0.0925971i
\(647\) −5.08317e6 −0.477391 −0.238695 0.971094i \(-0.576720\pi\)
−0.238695 + 0.971094i \(0.576720\pi\)
\(648\) 8.15875e6 + 4.58448e6i 0.763284 + 0.428896i
\(649\) 2.90471e6i 0.270702i
\(650\) −240204. 1.16711e6i −0.0222996 0.108349i
\(651\) 974132. 974132.i 0.0900877 0.0900877i
\(652\) 4.33074e6 2.06058e6i 0.398973 0.189833i
\(653\) −8.91287e6 + 8.91287e6i −0.817965 + 0.817965i −0.985813 0.167848i \(-0.946318\pi\)
0.167848 + 0.985813i \(0.446318\pi\)
\(654\) 1.54811e6 + 266774.i 0.141533 + 0.0243893i
\(655\) 998719. 4.78207e6i 0.0909579 0.435525i
\(656\) 1.08452e7 1.33405e7i 0.983958 1.21036i
\(657\) 1.52211e7i 1.37573i
\(658\) 310719. 1.80312e6i 0.0279771 0.162353i
\(659\) −6.82659e6 6.82659e6i −0.612336 0.612336i 0.331218 0.943554i \(-0.392540\pi\)
−0.943554 + 0.331218i \(0.892540\pi\)
\(660\) 2.01391e6 489033.i 0.179961 0.0436997i
\(661\) −6.49563e6 + 6.49563e6i −0.578252 + 0.578252i −0.934421 0.356169i \(-0.884083\pi\)
0.356169 + 0.934421i \(0.384083\pi\)
\(662\) −1.11236e7 + 7.85341e6i −0.986505 + 0.696487i
\(663\) 54814.9 0.00484300
\(664\) 1.04893e7 2.94209e6i 0.923268 0.258962i
\(665\) −898437. + 4.30190e6i −0.0787831 + 0.377230i
\(666\) −5.34336e6 + 3.77249e6i −0.466798 + 0.329566i
\(667\) 1.82471e7 + 1.82471e7i 1.58811 + 1.58811i
\(668\) −3.63872e6 1.29245e6i −0.315506 0.112066i
\(669\) −1.67880e6 1.67880e6i −0.145022 0.145022i
\(670\) −8.05964e6 3.18678e6i −0.693631 0.274261i
\(671\) −7.91565e6 −0.678704
\(672\) 1.22737e6 + 83387.7i 0.104846 + 0.00712326i
\(673\) 9.00614e6i 0.766480i −0.923649 0.383240i \(-0.874808\pi\)
0.923649 0.383240i \(-0.125192\pi\)
\(674\) −1.03379e6 + 5.99915e6i −0.0876562 + 0.508674i
\(675\) 4.42636e6 1.73530e6i 0.373927 0.146594i
\(676\) −3.92811e6 + 1.10591e7i −0.330611 + 0.930791i
\(677\) 1.13689e7 + 1.13689e7i 0.953342 + 0.953342i 0.998959 0.0456173i \(-0.0145255\pi\)
−0.0456173 + 0.998959i \(0.514525\pi\)
\(678\) −497406. 704526.i −0.0415563 0.0588604i
\(679\) 1.11114e7i 0.924896i
\(680\) 2.56757e6 173756.i 0.212936 0.0144101i
\(681\) 3.08743e6i 0.255111i
\(682\) 1.08605e7 7.66770e6i 0.894109 0.631254i
\(683\) −1.41336e7 1.41336e7i −1.15932 1.15932i −0.984623 0.174695i \(-0.944106\pi\)
−0.174695 0.984623i \(1.44411\pi\)
\(684\) 7.96193e6 3.78832e6i 0.650696 0.309604i
\(685\) −3.83334e6 5.85716e6i −0.312141 0.476937i
\(686\) 1.08121e7 + 1.86317e6i 0.877202 + 0.151162i
\(687\) 2.67279e6i 0.216060i
\(688\) 1.58225e6 + 1.53357e7i 0.127439 + 1.23518i
\(689\) 686598. 0.0551004
\(690\) 4.49363e6 + 1.77678e6i 0.359315 + 0.142073i
\(691\) 1.17407e7 + 1.17407e7i 0.935401 + 0.935401i 0.998036 0.0626355i \(-0.0199506\pi\)
−0.0626355 + 0.998036i \(0.519951\pi\)
\(692\) 4.98058e6 2.36978e6i 0.395380 0.188124i
\(693\) 3.96044e6 + 3.96044e6i 0.313264 + 0.313264i
\(694\) −25415.8 35999.0i −0.00200311 0.00283721i
\(695\) 1.08167e7 + 2.25902e6i 0.849437 + 0.177402i
\(696\) −2.72514e6 1.53128e6i −0.213239 0.119821i
\(697\) −4.26980e6 −0.332909
\(698\) −1.85586e6 2.62864e6i −0.144181 0.204218i
\(699\) 1.44716e6 1.44716e6i 0.112027 0.112027i
\(700\) −4.54191e6 + 4.84551e6i −0.350343 + 0.373762i
\(701\) 6.03581e6 + 6.03581e6i 0.463917 + 0.463917i 0.899937 0.436020i \(-0.143612\pi\)
−0.436020 + 0.899937i \(0.643612\pi\)
\(702\) 571684. + 98514.2i 0.0437838 + 0.00754494i
\(703\) 5.87995e6i 0.448730i
\(704\) 1.15357e7 + 2.80445e6i 0.877231 + 0.213263i
\(705\) −177978. + 852197.i −0.0134864 + 0.0645754i
\(706\) 552626. 3.20692e6i 0.0417273 0.242146i
\(707\) 5.97103e6 5.97103e6i 0.449263 0.449263i
\(708\) 274595. 773086.i 0.0205878 0.0579622i
\(709\) 1.59607e7 1.59607e7i 1.19244 1.19244i 0.216063 0.976379i \(-0.430678\pi\)
0.976379 0.216063i \(-0.0693218\pi\)
\(710\) 8.33502e6 3.61141e6i 0.620527 0.268863i
\(711\) 1.26645e6i 0.0939541i
\(712\) 5.84778e6 1.04070e7i 0.432306 0.769352i
\(713\) 3.09981e7 2.28355
\(714\) −176210. 249584.i −0.0129355 0.0183219i
\(715\) −1.14227e6 + 747582.i −0.0835610 + 0.0546882i
\(716\) 3.12195e6 + 6.56142e6i 0.227585 + 0.478317i
\(717\) 3.07483e6 3.07483e6i 0.223369 0.223369i
\(718\) 2.91917e6 1.69401e7i 0.211324 1.22632i
\(719\) −2.64908e7 −1.91105 −0.955526 0.294905i \(-0.904712\pi\)
−0.955526 + 0.294905i \(0.904712\pi\)
\(720\) 1.32541e7 + 1.37104e6i 0.952836 + 0.0985642i
\(721\) −8.92282e6 −0.639240
\(722\) −1.03261e6 + 5.99233e6i −0.0737217 + 0.427812i
\(723\) 2.28982e6 2.28982e6i 0.162913 0.162913i
\(724\) 6.04468e6 2.87608e6i 0.428575 0.203918i
\(725\) 1.57114e7 6.15945e6i 1.11012 0.435208i
\(726\) 310818. + 440243.i 0.0218859 + 0.0309992i
\(727\) 1.41885e7 0.995635 0.497817 0.867282i \(-0.334135\pi\)
0.497817 + 0.867282i \(0.334135\pi\)
\(728\) −780248. + 218847.i −0.0545638 + 0.0153043i
\(729\) 1.08521e7i 0.756300i
\(730\) 8.22095e6 + 1.89737e7i 0.570972 + 1.31779i
\(731\) 2.70739e6 2.70739e6i 0.187395 0.187395i
\(732\) 2.10675e6 + 748302.i 0.145323 + 0.0516177i
\(733\) −8.30215e6 + 8.30215e6i −0.570730 + 0.570730i −0.932332 0.361603i \(-0.882230\pi\)
0.361603 + 0.932332i \(0.382230\pi\)
\(734\) 588182. 3.41326e6i 0.0402969 0.233845i
\(735\) −2.16912e6 453013.i −0.148103 0.0309309i
\(736\) 1.82014e7 + 2.08549e7i 1.23854 + 1.41910i
\(737\) 9.92940e6i 0.673371i
\(738\) −2.17871e7 3.75441e6i −1.47251 0.253747i
\(739\) 7.15944e6 + 7.15944e6i 0.482245 + 0.482245i 0.905848 0.423603i \(-0.139235\pi\)
−0.423603 + 0.905848i \(0.639235\pi\)
\(740\) −4.62317e6 + 7.58850e6i −0.310356 + 0.509421i
\(741\) 180412. 180412.i 0.0120704 0.0120704i
\(742\) −2.20716e6 3.12623e6i −0.147172 0.208454i
\(743\) −6.36620e6 −0.423066 −0.211533 0.977371i \(-0.567846\pi\)
−0.211533 + 0.977371i \(0.567846\pi\)
\(744\) −3.61539e6 + 1.01406e6i −0.239454 + 0.0671631i
\(745\) −2.14731e7 4.48458e6i −1.41744 0.296027i
\(746\) 1.72605e7 + 2.44477e7i 1.13555 + 1.60839i
\(747\) −9.90577e6 9.90577e6i −0.649511 0.649511i
\(748\) −1.26676e6 2.66235e6i −0.0827826 0.173985i
\(749\) −6.13785e6 6.13785e6i −0.399772 0.399772i
\(750\) 2.24097e6 2.22796e6i 0.145473 0.144629i
\(751\) −2.41081e6 −0.155978 −0.0779888 0.996954i \(-0.524850\pi\)
−0.0779888 + 0.996954i \(0.524850\pi\)
\(752\) −3.14586e6 + 3.86968e6i −0.202859 + 0.249535i
\(753\) 4.14443e6i 0.266365i
\(754\) 2.02919e6 + 349676.i 0.129986 + 0.0223995i
\(755\) −2.09551e7 + 1.37145e7i −1.33790 + 0.875615i
\(756\) −1.38920e6 2.91968e6i −0.0884015 0.185794i
\(757\) −1.19074e7 1.19074e7i −0.755226 0.755226i 0.220224 0.975449i \(-0.429321\pi\)
−0.975449 + 0.220224i \(0.929321\pi\)
\(758\) 1.00217e7 7.07549e6i 0.633534 0.447284i
\(759\) 5.53612e6i 0.348820i
\(760\) 7.87876e6 9.02253e6i 0.494794 0.566623i
\(761\) 9.46083e6i