Properties

Label 80.6.q.a.29.14
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 29.14
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.04395 - 3.95557i) q^{2} +(-11.3559 + 11.3559i) q^{3} +(0.706997 + 31.9922i) q^{4} +(-38.8598 + 40.1860i) q^{5} +(90.8416 - 1.00363i) q^{6} +230.224 q^{7} +(123.688 - 132.171i) q^{8} -14.9127i q^{9} +O(q^{10})\) \(q+(-4.04395 - 3.95557i) q^{2} +(-11.3559 + 11.3559i) q^{3} +(0.706997 + 31.9922i) q^{4} +(-38.8598 + 40.1860i) q^{5} +(90.8416 - 1.00363i) q^{6} +230.224 q^{7} +(123.688 - 132.171i) q^{8} -14.9127i q^{9} +(316.105 - 8.79746i) q^{10} +(-205.730 + 205.730i) q^{11} +(-371.329 - 355.271i) q^{12} +(-272.694 + 272.694i) q^{13} +(-931.015 - 910.667i) q^{14} +(-15.0600 - 897.636i) q^{15} +(-1023.00 + 45.2367i) q^{16} -207.862i q^{17} +(-58.9881 + 60.3061i) q^{18} +(1721.64 + 1721.64i) q^{19} +(-1313.11 - 1214.80i) q^{20} +(-2614.40 + 2614.40i) q^{21} +(1645.74 - 18.1824i) q^{22} -2562.43 q^{23} +(96.3332 + 2905.51i) q^{24} +(-104.830 - 3123.24i) q^{25} +(2181.42 - 24.1007i) q^{26} +(-2590.14 - 2590.14i) q^{27} +(162.768 + 7365.38i) q^{28} +(-193.237 - 193.237i) q^{29} +(-3489.76 + 3689.56i) q^{30} -10116.7 q^{31} +(4315.89 + 3863.61i) q^{32} -4672.50i q^{33} +(-822.211 + 840.582i) q^{34} +(-8946.47 + 9251.79i) q^{35} +(477.089 - 10.5432i) q^{36} +(8241.50 + 8241.50i) q^{37} +(-152.159 - 13772.3i) q^{38} -6193.36i q^{39} +(504.935 + 10106.7i) q^{40} -4208.75i q^{41} +(20913.9 - 231.061i) q^{42} +(-10998.3 - 10998.3i) q^{43} +(-6727.21 - 6436.31i) q^{44} +(599.281 + 579.504i) q^{45} +(10362.3 + 10135.9i) q^{46} -13495.8i q^{47} +(11103.4 - 12130.8i) q^{48} +36196.2 q^{49} +(-11930.3 + 13044.9i) q^{50} +(2360.46 + 2360.46i) q^{51} +(-8916.86 - 8531.28i) q^{52} +(-16816.9 - 16816.9i) q^{53} +(228.916 + 20719.8i) q^{54} +(-272.837 - 16262.1i) q^{55} +(28476.0 - 30429.0i) q^{56} -39101.5 q^{57} +(17.0783 + 1545.80i) q^{58} +(-26659.8 + 26659.8i) q^{59} +(28706.7 - 1116.43i) q^{60} +(148.732 + 148.732i) q^{61} +(40911.4 + 40017.3i) q^{62} -3433.26i q^{63} +(-2170.48 - 32696.0i) q^{64} +(-361.643 - 21555.3i) q^{65} +(-18482.4 + 18895.4i) q^{66} +(20047.3 - 20047.3i) q^{67} +(6649.96 - 146.958i) q^{68} +(29098.7 - 29098.7i) q^{69} +(72775.1 - 2025.39i) q^{70} +25491.5i q^{71} +(-1971.03 - 1844.52i) q^{72} +3750.86 q^{73} +(-728.384 - 65928.0i) q^{74} +(36657.6 + 34276.8i) q^{75} +(-53861.8 + 56296.2i) q^{76} +(-47364.1 + 47364.1i) q^{77} +(-24498.3 + 25045.6i) q^{78} +27292.1 q^{79} +(37935.7 - 42868.2i) q^{80} +62450.4 q^{81} +(-16648.0 + 17019.9i) q^{82} +(-56235.0 + 56235.0i) q^{83} +(-85488.8 - 81792.1i) q^{84} +(8353.14 + 8077.47i) q^{85} +(972.029 + 87981.0i) q^{86} +4388.75 q^{87} +(1745.23 + 52638.0i) q^{88} +29861.5i q^{89} +(-131.194 - 4713.98i) q^{90} +(-62780.7 + 62780.7i) q^{91} +(-1811.63 - 81977.7i) q^{92} +(114884. - 114884. i) q^{93} +(-53383.5 + 54576.3i) q^{94} +(-136088. + 2283.22i) q^{95} +(-92885.6 + 5136.10i) q^{96} +76438.3i q^{97} +(-146376. - 143177. i) q^{98} +(3067.99 + 3067.99i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.04395 3.95557i −0.714875 0.699252i
\(3\) −11.3559 + 11.3559i −0.728481 + 0.728481i −0.970317 0.241836i \(-0.922250\pi\)
0.241836 + 0.970317i \(0.422250\pi\)
\(4\) 0.706997 + 31.9922i 0.0220936 + 0.999756i
\(5\) −38.8598 + 40.1860i −0.695146 + 0.718869i
\(6\) 90.8416 1.00363i 1.03016 0.0113814i
\(7\) 230.224 1.77585 0.887925 0.459989i \(-0.152147\pi\)
0.887925 + 0.459989i \(0.152147\pi\)
\(8\) 123.688 132.171i 0.683287 0.730150i
\(9\) 14.9127i 0.0613691i
\(10\) 316.105 8.79746i 0.999613 0.0278200i
\(11\) −205.730 + 205.730i −0.512645 + 0.512645i −0.915336 0.402691i \(-0.868075\pi\)
0.402691 + 0.915336i \(0.368075\pi\)
\(12\) −371.329 355.271i −0.744398 0.712208i
\(13\) −272.694 + 272.694i −0.447525 + 0.447525i −0.894531 0.447006i \(-0.852490\pi\)
0.447006 + 0.894531i \(0.352490\pi\)
\(14\) −931.015 910.667i −1.26951 1.24177i
\(15\) −15.0600 897.636i −0.0172822 1.03008i
\(16\) −1023.00 + 45.2367i −0.999024 + 0.0441765i
\(17\) 207.862i 0.174443i −0.996189 0.0872213i \(-0.972201\pi\)
0.996189 0.0872213i \(-0.0277987\pi\)
\(18\) −58.9881 + 60.3061i −0.0429124 + 0.0438712i
\(19\) 1721.64 + 1721.64i 1.09410 + 1.09410i 0.995086 + 0.0990178i \(0.0315701\pi\)
0.0990178 + 0.995086i \(0.468430\pi\)
\(20\) −1313.11 1214.80i −0.734052 0.679093i
\(21\) −2614.40 + 2614.40i −1.29367 + 1.29367i
\(22\) 1645.74 18.1824i 0.724945 0.00800932i
\(23\) −2562.43 −1.01003 −0.505013 0.863112i \(-0.668512\pi\)
−0.505013 + 0.863112i \(0.668512\pi\)
\(24\) 96.3332 + 2905.51i 0.0341388 + 1.02966i
\(25\) −104.830 3123.24i −0.0335455 0.999437i
\(26\) 2181.42 24.1007i 0.632857 0.00699191i
\(27\) −2590.14 2590.14i −0.683775 0.683775i
\(28\) 162.768 + 7365.38i 0.0392350 + 1.77542i
\(29\) −193.237 193.237i −0.0426673 0.0426673i 0.685451 0.728119i \(-0.259605\pi\)
−0.728119 + 0.685451i \(0.759605\pi\)
\(30\) −3489.76 + 3689.56i −0.707933 + 0.748465i
\(31\) −10116.7 −1.89075 −0.945376 0.325982i \(-0.894305\pi\)
−0.945376 + 0.325982i \(0.894305\pi\)
\(32\) 4315.89 + 3863.61i 0.745068 + 0.666989i
\(33\) 4672.50i 0.746904i
\(34\) −822.211 + 840.582i −0.121979 + 0.124705i
\(35\) −8946.47 + 9251.79i −1.23447 + 1.27660i
\(36\) 477.089 10.5432i 0.0613541 0.00135587i
\(37\) 8241.50 + 8241.50i 0.989696 + 0.989696i 0.999947 0.0102512i \(-0.00326311\pi\)
−0.0102512 + 0.999947i \(0.503263\pi\)
\(38\) −152.159 13772.3i −0.0170937 1.54720i
\(39\) 6193.36i 0.652026i
\(40\) 504.935 + 10106.7i 0.0498983 + 0.998754i
\(41\) 4208.75i 0.391015i −0.980702 0.195507i \(-0.937365\pi\)
0.980702 0.195507i \(-0.0626353\pi\)
\(42\) 20913.9 231.061i 1.82942 0.0202117i
\(43\) −10998.3 10998.3i −0.907098 0.907098i 0.0889389 0.996037i \(-0.471652\pi\)
−0.996037 + 0.0889389i \(0.971652\pi\)
\(44\) −6727.21 6436.31i −0.523846 0.501193i
\(45\) 599.281 + 579.504i 0.0441163 + 0.0426604i
\(46\) 10362.3 + 10135.9i 0.722042 + 0.706262i
\(47\) 13495.8i 0.891157i −0.895243 0.445578i \(-0.852998\pi\)
0.895243 0.445578i \(-0.147002\pi\)
\(48\) 11103.4 12130.8i 0.695588 0.759952i
\(49\) 36196.2 2.15364
\(50\) −11930.3 + 13044.9i −0.674878 + 0.737930i
\(51\) 2360.46 + 2360.46i 0.127078 + 0.127078i
\(52\) −8916.86 8531.28i −0.457303 0.437528i
\(53\) −16816.9 16816.9i −0.822349 0.822349i 0.164095 0.986445i \(-0.447530\pi\)
−0.986445 + 0.164095i \(0.947530\pi\)
\(54\) 228.916 + 20719.8i 0.0106830 + 0.966945i
\(55\) −272.837 16262.1i −0.0121618 0.724887i
\(56\) 28476.0 30429.0i 1.21341 1.29664i
\(57\) −39101.5 −1.59407
\(58\) 17.0783 + 1545.80i 0.000666613 + 0.0603370i
\(59\) −26659.8 + 26659.8i −0.997074 + 0.997074i −0.999996 0.00292181i \(-0.999070\pi\)
0.00292181 + 0.999996i \(0.499070\pi\)
\(60\) 28706.7 1116.43i 1.02945 0.0400362i
\(61\) 148.732 + 148.732i 0.00511774 + 0.00511774i 0.709661 0.704543i \(-0.248848\pi\)
−0.704543 + 0.709661i \(0.748848\pi\)
\(62\) 40911.4 + 40017.3i 1.35165 + 1.32211i
\(63\) 3433.26i 0.108982i
\(64\) −2170.48 32696.0i −0.0662378 0.997804i
\(65\) −361.643 21555.3i −0.0106169 0.632806i
\(66\) −18482.4 + 18895.4i −0.522274 + 0.533943i
\(67\) 20047.3 20047.3i 0.545593 0.545593i −0.379570 0.925163i \(-0.623928\pi\)
0.925163 + 0.379570i \(0.123928\pi\)
\(68\) 6649.96 146.958i 0.174400 0.00385407i
\(69\) 29098.7 29098.7i 0.735784 0.735784i
\(70\) 72775.1 2025.39i 1.77516 0.0494041i
\(71\) 25491.5i 0.600135i 0.953918 + 0.300068i \(0.0970092\pi\)
−0.953918 + 0.300068i \(0.902991\pi\)
\(72\) −1971.03 1844.52i −0.0448086 0.0419327i
\(73\) 3750.86 0.0823804 0.0411902 0.999151i \(-0.486885\pi\)
0.0411902 + 0.999151i \(0.486885\pi\)
\(74\) −728.384 65928.0i −0.0154625 1.39956i
\(75\) 36657.6 + 34276.8i 0.752508 + 0.703634i
\(76\) −53861.8 + 56296.2i −1.06966 + 1.11801i
\(77\) −47364.1 + 47364.1i −0.910380 + 0.910380i
\(78\) −24498.3 + 25045.6i −0.455931 + 0.466118i
\(79\) 27292.1 0.492004 0.246002 0.969269i \(-0.420883\pi\)
0.246002 + 0.969269i \(0.420883\pi\)
\(80\) 37935.7 42868.2i 0.662710 0.748876i
\(81\) 62450.4 1.05760
\(82\) −16648.0 + 17019.9i −0.273418 + 0.279527i
\(83\) −56235.0 + 56235.0i −0.896007 + 0.896007i −0.995080 0.0990734i \(-0.968412\pi\)
0.0990734 + 0.995080i \(0.468412\pi\)
\(84\) −85488.8 81792.1i −1.32194 1.26477i
\(85\) 8353.14 + 8077.47i 0.125401 + 0.121263i
\(86\) 972.029 + 87981.0i 0.0141721 + 1.28275i
\(87\) 4388.75 0.0621646
\(88\) 1745.23 + 52638.0i 0.0240240 + 0.724591i
\(89\) 29861.5i 0.399611i 0.979836 + 0.199805i \(0.0640310\pi\)
−0.979836 + 0.199805i \(0.935969\pi\)
\(90\) −131.194 4713.98i −0.00170729 0.0613453i
\(91\) −62780.7 + 62780.7i −0.794736 + 0.794736i
\(92\) −1811.63 81977.7i −0.0223151 1.00978i
\(93\) 114884. 114884.i 1.37738 1.37738i
\(94\) −53383.5 + 54576.3i −0.623143 + 0.637066i
\(95\) −136088. + 2283.22i −1.54708 + 0.0259560i
\(96\) −92885.6 + 5136.10i −1.02866 + 0.0568794i
\(97\) 76438.3i 0.824862i 0.910989 + 0.412431i \(0.135320\pi\)
−0.910989 + 0.412431i \(0.864680\pi\)
\(98\) −146376. 143177.i −1.53958 1.50594i
\(99\) 3067.99 + 3067.99i 0.0314605 + 0.0314605i
\(100\) 99845.2 5561.85i 0.998452 0.0556185i
\(101\) −11457.4 + 11457.4i −0.111759 + 0.111759i −0.760775 0.649016i \(-0.775181\pi\)
0.649016 + 0.760775i \(0.275181\pi\)
\(102\) −208.617 18882.5i −0.00198541 0.179705i
\(103\) 29931.4 0.277993 0.138997 0.990293i \(-0.455612\pi\)
0.138997 + 0.990293i \(0.455612\pi\)
\(104\) 2313.29 + 69771.3i 0.0209723 + 0.632548i
\(105\) −3467.19 206658.i −0.0306905 1.82927i
\(106\) 1486.28 + 134527.i 0.0128480 + 1.16291i
\(107\) 43968.9 + 43968.9i 0.371267 + 0.371267i 0.867938 0.496672i \(-0.165445\pi\)
−0.496672 + 0.867938i \(0.665445\pi\)
\(108\) 81032.9 84695.3i 0.668501 0.698715i
\(109\) −41633.5 41633.5i −0.335642 0.335642i 0.519082 0.854724i \(-0.326274\pi\)
−0.854724 + 0.519082i \(0.826274\pi\)
\(110\) −63222.6 + 66842.4i −0.498185 + 0.526708i
\(111\) −187179. −1.44195
\(112\) −235520. + 10414.6i −1.77412 + 0.0784508i
\(113\) 48254.0i 0.355498i −0.984076 0.177749i \(-0.943118\pi\)
0.984076 0.177749i \(-0.0568815\pi\)
\(114\) 158124. + 154669.i 1.13956 + 1.11465i
\(115\) 99575.5 102974.i 0.702115 0.726076i
\(116\) 6045.45 6318.69i 0.0417142 0.0435995i
\(117\) 4066.60 + 4066.60i 0.0274642 + 0.0274642i
\(118\) 213266. 2356.20i 1.40999 0.0155778i
\(119\) 47854.8i 0.309784i
\(120\) −120504. 109036.i −0.763923 0.691224i
\(121\) 76401.1i 0.474391i
\(122\) −13.1449 1189.78i −7.99572e−5 0.00723714i
\(123\) 47794.1 + 47794.1i 0.284847 + 0.284847i
\(124\) −7152.47 323655.i −0.0417736 1.89029i
\(125\) 129584. + 117156.i 0.741783 + 0.670639i
\(126\) −13580.5 + 13883.9i −0.0762060 + 0.0779087i
\(127\) 163406.i 0.898997i −0.893281 0.449499i \(-0.851603\pi\)
0.893281 0.449499i \(-0.148397\pi\)
\(128\) −120554. + 140806.i −0.650364 + 0.759622i
\(129\) 249791. 1.32161
\(130\) −83801.0 + 88599.0i −0.434901 + 0.459801i
\(131\) −78246.9 78246.9i −0.398372 0.398372i 0.479286 0.877659i \(-0.340895\pi\)
−0.877659 + 0.479286i \(0.840895\pi\)
\(132\) 149484. 3303.44i 0.746722 0.0165018i
\(133\) 396363. + 396363.i 1.94296 + 1.94296i
\(134\) −160369. + 1771.78i −0.771538 + 0.00852408i
\(135\) 204739. 3435.00i 0.966867 0.0162216i
\(136\) −27473.4 25710.0i −0.127369 0.119194i
\(137\) −139329. −0.634221 −0.317110 0.948389i \(-0.602713\pi\)
−0.317110 + 0.948389i \(0.602713\pi\)
\(138\) −232775. + 2571.74i −1.04049 + 0.0114955i
\(139\) −230204. + 230204.i −1.01059 + 1.01059i −0.0106467 + 0.999943i \(0.503389\pi\)
−0.999943 + 0.0106467i \(0.996611\pi\)
\(140\) −302310. 279676.i −1.30357 1.20597i
\(141\) 153257. + 153257.i 0.649191 + 0.649191i
\(142\) 100833. 103086.i 0.419646 0.429022i
\(143\) 112203.i 0.458842i
\(144\) 674.601 + 15255.7i 0.00271107 + 0.0613092i
\(145\) 15274.6 256.268i 0.0603322 0.00101222i
\(146\) −15168.3 14836.8i −0.0588917 0.0576046i
\(147\) −411041. + 411041.i −1.56889 + 1.56889i
\(148\) −257837. + 269490.i −0.967589 + 1.01132i
\(149\) 295918. 295918.i 1.09196 1.09196i 0.0966398 0.995319i \(-0.469190\pi\)
0.995319 0.0966398i \(-0.0308095\pi\)
\(150\) −12657.5 283615.i −0.0459324 1.02920i
\(151\) 445444.i 1.58983i 0.606721 + 0.794915i \(0.292484\pi\)
−0.606721 + 0.794915i \(0.707516\pi\)
\(152\) 440498. 14604.8i 1.54645 0.0512729i
\(153\) −3099.78 −0.0107054
\(154\) 378890. 4186.04i 1.28739 0.0142233i
\(155\) 393133. 406550.i 1.31435 1.35920i
\(156\) 198139. 4378.69i 0.651867 0.0144056i
\(157\) 70871.0 70871.0i 0.229467 0.229467i −0.583003 0.812470i \(-0.698123\pi\)
0.812470 + 0.583003i \(0.198123\pi\)
\(158\) −110368. 107956.i −0.351722 0.344035i
\(159\) 381942. 1.19813
\(160\) −322978. + 23299.4i −0.997408 + 0.0719523i
\(161\) −589934. −1.79365
\(162\) −252546. 247027.i −0.756054 0.739531i
\(163\) −309367. + 309367.i −0.912022 + 0.912022i −0.996431 0.0844088i \(-0.973100\pi\)
0.0844088 + 0.996431i \(0.473100\pi\)
\(164\) 134647. 2975.57i 0.390919 0.00863894i
\(165\) 187769. + 181573.i 0.536926 + 0.519207i
\(166\) 449852. 4970.05i 1.26707 0.0139988i
\(167\) 16760.5 0.0465044 0.0232522 0.999730i \(-0.492598\pi\)
0.0232522 + 0.999730i \(0.492598\pi\)
\(168\) 22178.2 + 668920.i 0.0606253 + 1.82852i
\(169\) 222569.i 0.599444i
\(170\) −1828.66 65706.2i −0.00485299 0.174375i
\(171\) 25674.3 25674.3i 0.0671441 0.0671441i
\(172\) 344084. 359635.i 0.886836 0.926918i
\(173\) 66055.2 66055.2i 0.167800 0.167800i −0.618212 0.786012i \(-0.712143\pi\)
0.786012 + 0.618212i \(0.212143\pi\)
\(174\) −17747.9 17360.0i −0.0444399 0.0434687i
\(175\) −24134.3 719046.i −0.0595717 1.77485i
\(176\) 201156. 219769.i 0.489497 0.534791i
\(177\) 605492.i 1.45270i
\(178\) 118119. 120758.i 0.279428 0.285672i
\(179\) −444042. 444042.i −1.03584 1.03584i −0.999334 0.0365032i \(-0.988378\pi\)
−0.0365032 0.999334i \(-0.511622\pi\)
\(180\) −18115.9 + 19582.0i −0.0416753 + 0.0450481i
\(181\) 144629. 144629.i 0.328139 0.328139i −0.523739 0.851879i \(-0.675463\pi\)
0.851879 + 0.523739i \(0.175463\pi\)
\(182\) 502215. 5548.56i 1.12386 0.0124166i
\(183\) −3377.96 −0.00745636
\(184\) −316942. + 338680.i −0.690137 + 0.737470i
\(185\) −651456. + 10929.8i −1.39944 + 0.0234791i
\(186\) −919017. + 10153.5i −1.94779 + 0.0215195i
\(187\) 42763.5 + 42763.5i 0.0894271 + 0.0894271i
\(188\) 431760. 9541.49i 0.890939 0.0196889i
\(189\) −596312. 596312.i −1.21428 1.21428i
\(190\) 559366. + 529074.i 1.12412 + 1.06324i
\(191\) 754044. 1.49559 0.747797 0.663928i \(-0.231112\pi\)
0.747797 + 0.663928i \(0.231112\pi\)
\(192\) 395940. + 346645.i 0.775134 + 0.678628i
\(193\) 328345.i 0.634508i −0.948341 0.317254i \(-0.897239\pi\)
0.948341 0.317254i \(-0.102761\pi\)
\(194\) 302357. 309112.i 0.576787 0.589674i
\(195\) 248887. + 240673.i 0.468721 + 0.453253i
\(196\) 25590.6 + 1.15800e6i 0.0475818 + 2.15311i
\(197\) 245847. + 245847.i 0.451336 + 0.451336i 0.895798 0.444462i \(-0.146605\pi\)
−0.444462 + 0.895798i \(0.646605\pi\)
\(198\) −271.149 24542.4i −0.000491524 0.0444892i
\(199\) 86201.8i 0.154306i 0.997019 + 0.0771532i \(0.0245830\pi\)
−0.997019 + 0.0771532i \(0.975417\pi\)
\(200\) −425769. 372452.i −0.752660 0.658409i
\(201\) 455310.i 0.794908i
\(202\) 91653.5 1012.60i 0.158041 0.00174607i
\(203\) −44487.8 44487.8i −0.0757706 0.0757706i
\(204\) −73847.4 + 77185.0i −0.124239 + 0.129855i
\(205\) 169133. + 163551.i 0.281088 + 0.271812i
\(206\) −121041. 118396.i −0.198730 0.194387i
\(207\) 38212.7i 0.0619843i
\(208\) 266630. 291302.i 0.427318 0.466858i
\(209\) −708387. −1.12177
\(210\) −803427. + 849427.i −1.25718 + 1.32916i
\(211\) −107974. 107974.i −0.166961 0.166961i 0.618681 0.785642i \(-0.287667\pi\)
−0.785642 + 0.618681i \(0.787667\pi\)
\(212\) 526120. 549899.i 0.803980 0.840317i
\(213\) −289478. 289478.i −0.437187 0.437187i
\(214\) −3885.97 351730.i −0.00580049 0.525018i
\(215\) 869369. 14585.8i 1.28265 0.0215196i
\(216\) −662711. + 21972.4i −0.966472 + 0.0320437i
\(217\) −2.32911e6 −3.35769
\(218\) 3679.57 + 333048.i 0.00524392 + 0.474641i
\(219\) −42594.4 + 42594.4i −0.0600126 + 0.0600126i
\(220\) 520068. 20225.9i 0.724442 0.0281742i
\(221\) 56682.6 + 56682.6i 0.0780673 + 0.0780673i
\(222\) 756943. + 740400.i 1.03081 + 1.00829i
\(223\) 701624.i 0.944806i −0.881383 0.472403i \(-0.843387\pi\)
0.881383 0.472403i \(-0.156613\pi\)
\(224\) 993624. + 889497.i 1.32313 + 1.18447i
\(225\) −46575.9 + 1563.29i −0.0613345 + 0.00205865i
\(226\) −190872. + 195137.i −0.248583 + 0.254137i
\(227\) −566639. + 566639.i −0.729864 + 0.729864i −0.970592 0.240729i \(-0.922614\pi\)
0.240729 + 0.970592i \(0.422614\pi\)
\(228\) −27644.6 1.25094e6i −0.0352188 1.59368i
\(229\) −699154. + 699154.i −0.881016 + 0.881016i −0.993638 0.112622i \(-0.964075\pi\)
0.112622 + 0.993638i \(0.464075\pi\)
\(230\) −809998. + 22542.9i −1.00963 + 0.0280989i
\(231\) 1.07572e6i 1.32639i
\(232\) −49441.5 + 1639.25i −0.0603075 + 0.00199951i
\(233\) 405832. 0.489730 0.244865 0.969557i \(-0.421256\pi\)
0.244865 + 0.969557i \(0.421256\pi\)
\(234\) −359.406 32530.8i −0.000429087 0.0388378i
\(235\) 542342. + 524444.i 0.640625 + 0.619484i
\(236\) −871755. 834058.i −1.01886 0.974802i
\(237\) −309926. + 309926.i −0.358416 + 0.358416i
\(238\) −189293. + 193522.i −0.216617 + 0.221457i
\(239\) −1.30231e6 −1.47475 −0.737376 0.675483i \(-0.763935\pi\)
−0.737376 + 0.675483i \(0.763935\pi\)
\(240\) 56012.6 + 917601.i 0.0627707 + 1.02831i
\(241\) 332143. 0.368369 0.184184 0.982892i \(-0.441036\pi\)
0.184184 + 0.982892i \(0.441036\pi\)
\(242\) 302210. 308962.i 0.331719 0.339130i
\(243\) −79777.2 + 79777.2i −0.0866688 + 0.0866688i
\(244\) −4653.10 + 4863.40i −0.00500343 + 0.00522957i
\(245\) −1.40658e6 + 1.45458e6i −1.49709 + 1.54819i
\(246\) −4224.04 382329.i −0.00445031 0.402809i
\(247\) −938961. −0.979276
\(248\) −1.25132e6 + 1.33714e6i −1.29193 + 1.38053i
\(249\) 1.27720e6i 1.30545i
\(250\) −60613.8 986351.i −0.0613368 0.998117i
\(251\) 674173. 674173.i 0.675440 0.675440i −0.283525 0.958965i \(-0.591504\pi\)
0.958965 + 0.283525i \(0.0915039\pi\)
\(252\) 109838. 2427.30i 0.108956 0.00240781i
\(253\) 527169. 527169.i 0.517784 0.517784i
\(254\) −646363. + 660805.i −0.628626 + 0.642671i
\(255\) −186584. + 3130.41i −0.179690 + 0.00301474i
\(256\) 1.04448e6 92554.4i 0.996097 0.0882668i
\(257\) 1.46684e6i 1.38531i 0.721267 + 0.692657i \(0.243560\pi\)
−0.721267 + 0.692657i \(0.756440\pi\)
\(258\) −1.01014e6 988065.i −0.944785 0.924137i
\(259\) 1.89739e6 + 1.89739e6i 1.75755 + 1.75755i
\(260\) 689346. 26809.3i 0.632417 0.0245953i
\(261\) −2881.68 + 2881.68i −0.00261845 + 0.00261845i
\(262\) 6915.46 + 625937.i 0.00622397 + 0.563349i
\(263\) −415413. −0.370331 −0.185166 0.982707i \(-0.559282\pi\)
−0.185166 + 0.982707i \(0.559282\pi\)
\(264\) −617571. 577933.i −0.545352 0.510350i
\(265\) 1.32931e6 22302.4i 1.16281 0.0195091i
\(266\) −35030.6 3.17071e6i −0.0303559 2.74760i
\(267\) −339104. 339104.i −0.291109 0.291109i
\(268\) 655530. + 627183.i 0.557514 + 0.533406i
\(269\) 720737. + 720737.i 0.607290 + 0.607290i 0.942237 0.334947i \(-0.108718\pi\)
−0.334947 + 0.942237i \(0.608718\pi\)
\(270\) −841542. 795969.i −0.702533 0.664488i
\(271\) 1.79824e6 1.48739 0.743695 0.668519i \(-0.233072\pi\)
0.743695 + 0.668519i \(0.233072\pi\)
\(272\) 9402.99 + 212643.i 0.00770626 + 0.174272i
\(273\) 1.42586e6i 1.15790i
\(274\) 563440. + 551126.i 0.453389 + 0.443480i
\(275\) 664112. + 620979.i 0.529553 + 0.495159i
\(276\) 951503. + 910358.i 0.751861 + 0.719349i
\(277\) −16894.7 16894.7i −0.0132298 0.0132298i 0.700461 0.713691i \(-0.252978\pi\)
−0.713691 + 0.700461i \(0.752978\pi\)
\(278\) 1.84152e6 20345.4i 1.42910 0.0157890i
\(279\) 150867.i 0.116034i
\(280\) 116248. + 2.32680e6i 0.0886119 + 1.77364i
\(281\) 1.01827e6i 0.769300i 0.923062 + 0.384650i \(0.125678\pi\)
−0.923062 + 0.384650i \(0.874322\pi\)
\(282\) −13544.8 1.22598e6i −0.0101426 0.918038i
\(283\) 479537. + 479537.i 0.355923 + 0.355923i 0.862308 0.506385i \(-0.169018\pi\)
−0.506385 + 0.862308i \(0.669018\pi\)
\(284\) −815528. + 18022.4i −0.599989 + 0.0132592i
\(285\) 1.51948e6 1.57133e6i 1.10811 1.14593i
\(286\) −443825. + 453742.i −0.320846 + 0.328015i
\(287\) 968955.i 0.694383i
\(288\) 57616.8 64361.6i 0.0409325 0.0457241i
\(289\) 1.37665e6 0.969570
\(290\) −62783.2 59383.2i −0.0438378 0.0414638i
\(291\) −868025. 868025.i −0.600897 0.600897i
\(292\) 2651.85 + 119998.i 0.00182008 + 0.0823603i
\(293\) 1.75467e6 + 1.75467e6i 1.19406 + 1.19406i 0.975917 + 0.218141i \(0.0699992\pi\)
0.218141 + 0.975917i \(0.430001\pi\)
\(294\) 3.28812e6 36327.7i 2.21860 0.0245115i
\(295\) −35355.9 2.10735e6i −0.0236541 1.40988i
\(296\) 2.10867e6 69913.4i 1.39887 0.0463801i
\(297\) 1.06574e6 0.701067
\(298\) −2.36720e6 + 26153.3i −1.54417 + 0.0170602i
\(299\) 698759. 698759.i 0.452011 0.452011i
\(300\) −1.07067e6 + 1.19699e6i −0.686836 + 0.767870i
\(301\) −2.53207e6 2.53207e6i −1.61087 1.61087i
\(302\) 1.76198e6 1.80135e6i 1.11169 1.13653i
\(303\) 260218.i 0.162828i
\(304\) −1.83912e6 1.68336e6i −1.14137 1.04470i
\(305\) −11756.6 + 197.246i −0.00723657 + 0.000121411i
\(306\) 12535.3 + 12261.4i 0.00765301 + 0.00748576i
\(307\) −436226. + 436226.i −0.264159 + 0.264159i −0.826741 0.562582i \(-0.809808\pi\)
0.562582 + 0.826741i \(0.309808\pi\)
\(308\) −1.54877e6 1.48180e6i −0.930271 0.890044i
\(309\) −339898. + 339898.i −0.202513 + 0.202513i
\(310\) −3.19794e6 + 89001.2i −1.89002 + 0.0526007i
\(311\) 107775.i 0.0631857i −0.999501 0.0315928i \(-0.989942\pi\)
0.999501 0.0315928i \(-0.0100580\pi\)
\(312\) −818585. 766046.i −0.476077 0.445521i
\(313\) −851740. −0.491412 −0.245706 0.969344i \(-0.579020\pi\)
−0.245706 + 0.969344i \(0.579020\pi\)
\(314\) −566933. + 6263.58i −0.324495 + 0.00358508i
\(315\) 137969. + 133416.i 0.0783439 + 0.0757585i
\(316\) 19295.4 + 873133.i 0.0108702 + 0.491884i
\(317\) −1.78396e6 + 1.78396e6i −0.997097 + 0.997097i −0.999996 0.00289872i \(-0.999077\pi\)
0.00289872 + 0.999996i \(0.499077\pi\)
\(318\) −1.54455e6 1.51080e6i −0.856515 0.837796i
\(319\) 79509.4 0.0437463
\(320\) 1.39827e6 + 1.18334e6i 0.763335 + 0.646003i
\(321\) −998612. −0.540922
\(322\) 2.38566e6 + 2.33352e6i 1.28224 + 1.25422i
\(323\) 357863. 357863.i 0.190858 0.190858i
\(324\) 44152.2 + 1.99792e6i 0.0233663 + 1.05734i
\(325\) 880275. + 823102.i 0.462285 + 0.432260i
\(326\) 2.47479e6 27341.9i 1.28972 0.0142490i
\(327\) 945572. 0.489018
\(328\) −556275. 520572.i −0.285499 0.267175i
\(329\) 3.10706e6i 1.58256i
\(330\) −41106.2 1.47700e6i −0.0207789 0.746615i
\(331\) −1.31480e6 + 1.31480e6i −0.659614 + 0.659614i −0.955289 0.295675i \(-0.904456\pi\)
0.295675 + 0.955289i \(0.404456\pi\)
\(332\) −1.83884e6 1.75932e6i −0.915584 0.875992i
\(333\) 122903. 122903.i 0.0607367 0.0607367i
\(334\) −67778.4 66297.1i −0.0332449 0.0325183i
\(335\) 26586.5 + 1.58465e6i 0.0129434 + 0.771476i
\(336\) 2.55627e6 2.79280e6i 1.23526 1.34956i
\(337\) 931025.i 0.446567i 0.974754 + 0.223284i \(0.0716776\pi\)
−0.974754 + 0.223284i \(0.928322\pi\)
\(338\) 880387. 900058.i 0.419162 0.428527i
\(339\) 547967. + 547967.i 0.258974 + 0.258974i
\(340\) −252510. + 272946.i −0.118463 + 0.128050i
\(341\) 2.08131e6 2.08131e6i 0.969284 0.969284i
\(342\) −205382. + 2269.09i −0.0949503 + 0.00104903i
\(343\) 4.46387e6 2.04869
\(344\) −2.81402e6 + 93299.6i −1.28213 + 0.0425093i
\(345\) 38590.3 + 2.30013e6i 0.0174554 + 1.04041i
\(346\) −528409. + 5837.95i −0.237290 + 0.00262162i
\(347\) 353833. + 353833.i 0.157752 + 0.157752i 0.781570 0.623818i \(-0.214419\pi\)
−0.623818 + 0.781570i \(0.714419\pi\)
\(348\) 3102.83 + 140406.i 0.00137344 + 0.0621494i
\(349\) 1.53795e6 + 1.53795e6i 0.675893 + 0.675893i 0.959068 0.283175i \(-0.0913878\pi\)
−0.283175 + 0.959068i \(0.591388\pi\)
\(350\) −2.74664e6 + 3.00325e6i −1.19848 + 1.31045i
\(351\) 1.41263e6 0.612012
\(352\) −1.68277e6 + 93048.6i −0.723883 + 0.0400270i
\(353\) 1.50950e6i 0.644758i 0.946611 + 0.322379i \(0.104483\pi\)
−0.946611 + 0.322379i \(0.895517\pi\)
\(354\) −2.39507e6 + 2.44858e6i −1.01580 + 1.03850i
\(355\) −1.02440e6 990594.i −0.431419 0.417181i
\(356\) −955336. + 21112.0i −0.399513 + 0.00882886i
\(357\) 543435. + 543435.i 0.225672 + 0.225672i
\(358\) 39244.4 + 3.55212e6i 0.0161834 + 1.46481i
\(359\) 4.24585e6i 1.73872i 0.494182 + 0.869359i \(0.335468\pi\)
−0.494182 + 0.869359i \(0.664532\pi\)
\(360\) 150718. 7529.94i 0.0612926 0.00306221i
\(361\) 3.45199e6i 1.39412i
\(362\) −1.15696e6 + 12782.3i −0.464031 + 0.00512669i
\(363\) −867603. 867603.i −0.345585 0.345585i
\(364\) −2.05288e6 1.96411e6i −0.812101 0.776983i
\(365\) −145758. + 150732.i −0.0572664 + 0.0592207i
\(366\) 13660.3 + 13361.7i 0.00533037 + 0.00521387i
\(367\) 437121.i 0.169409i −0.996406 0.0847045i \(-0.973005\pi\)
0.996406 0.0847045i \(-0.0269946\pi\)
\(368\) 2.62137e6 115916.i 1.00904 0.0446194i
\(369\) −62763.7 −0.0239962
\(370\) 2.67769e6 + 2.53268e6i 1.01685 + 0.961780i
\(371\) −3.87166e6 3.87166e6i −1.46037 1.46037i
\(372\) 3.75662e6 + 3.59417e6i 1.40747 + 1.34661i
\(373\) −3.04426e6 3.04426e6i −1.13295 1.13295i −0.989685 0.143261i \(-0.954241\pi\)
−0.143261 0.989685i \(1.45424\pi\)
\(374\) −3779.44 342087.i −0.00139717 0.126461i
\(375\) −2.80195e6 + 141135.i −1.02892 + 0.0518270i
\(376\) −1.78376e6 1.66927e6i −0.650678 0.608916i
\(377\) 105389. 0.0381893
\(378\) 52702.0 + 4.77021e6i 0.0189713 + 1.71715i
\(379\) −2.35202e6 + 2.35202e6i −0.841091 + 0.841091i −0.989001 0.147910i \(-0.952745\pi\)
0.147910 + 0.989001i \(0.452745\pi\)
\(380\) −169259. 4.35215e6i −0.0601303 1.54613i
\(381\) 1.85562e6 + 1.85562e6i 0.654902 + 0.654902i
\(382\) −3.04931e6 2.98267e6i −1.06916 1.04580i
\(383\) 4.24114e6i 1.47736i 0.674058 + 0.738678i \(0.264550\pi\)
−0.674058 + 0.738678i \(0.735450\pi\)
\(384\) −229985. 2.96798e6i −0.0795923 1.02715i
\(385\) −62813.7 3.74394e6i −0.0215974 1.28729i
\(386\) −1.29879e6 + 1.32781e6i −0.443681 + 0.453594i
\(387\) −164014. + 164014.i −0.0556678 + 0.0556678i
\(388\) −2.44543e6 + 54041.6i −0.824661 + 0.0182242i
\(389\) 3.11092e6 3.11092e6i 1.04235 1.04235i 0.0432920 0.999062i \(-0.486215\pi\)
0.999062 0.0432920i \(-0.0137846\pi\)
\(390\) −54485.9 1.95776e6i −0.0181394 0.651774i
\(391\) 532631.i 0.176191i
\(392\) 4.47704e6 4.78410e6i 1.47155 1.57248i
\(393\) 1.77713e6 0.580413
\(394\) −21728.0 1.96666e6i −0.00705146 0.638247i
\(395\) −1.06057e6 + 1.09676e6i −0.342015 + 0.353687i
\(396\) −95982.7 + 100321.i −0.0307578 + 0.0321479i
\(397\) 3.26192e6 3.26192e6i 1.03872 1.03872i 0.0394956 0.999220i \(-0.487425\pi\)
0.999220 0.0394956i \(-0.0125751\pi\)
\(398\) 340977. 348596.i 0.107899 0.110310i
\(399\) −9.00212e6 −2.83082
\(400\) 248526. + 3.19033e6i 0.0776643 + 0.996980i
\(401\) 1.16921e6 0.363106 0.181553 0.983381i \(-0.441888\pi\)
0.181553 + 0.983381i \(0.441888\pi\)
\(402\) 1.80101e6 1.84125e6i 0.555841 0.568260i
\(403\) 2.75876e6 2.75876e6i 0.846158 0.846158i
\(404\) −374647. 358447.i −0.114201 0.109262i
\(405\) −2.42681e6 + 2.50963e6i −0.735188 + 0.760278i
\(406\) 3931.83 + 355881.i 0.00118380 + 0.107149i
\(407\) −3.39105e6 −1.01473
\(408\) 603945. 20024.0i 0.179617 0.00595525i
\(409\) 4.39487e6i 1.29909i −0.760325 0.649543i \(-0.774960\pi\)
0.760325 0.649543i \(-0.225040\pi\)
\(410\) −37026.3 1.33041e6i −0.0108780 0.390863i
\(411\) 1.58221e6 1.58221e6i 0.462018 0.462018i
\(412\) 21161.4 + 957571.i 0.00614188 + 0.277925i
\(413\) −6.13774e6 + 6.13774e6i −1.77065 + 1.77065i
\(414\) 151153. 154530.i 0.0433427 0.0443111i
\(415\) −74578.1 4.44514e6i −0.0212565 1.26697i
\(416\) −2.23050e6 + 123335.i −0.631930 + 0.0349425i
\(417\) 5.22833e6i 1.47239i
\(418\) 2.86468e6 + 2.80207e6i 0.801928 + 0.784402i
\(419\) 1.80136e6 + 1.80136e6i 0.501264 + 0.501264i 0.911831 0.410567i \(-0.134669\pi\)
−0.410567 + 0.911831i \(0.634669\pi\)
\(420\) 6.60898e6 257029.i 1.82815 0.0710983i
\(421\) 1.53607e6 1.53607e6i 0.422383 0.422383i −0.463641 0.886023i \(-0.653457\pi\)
0.886023 + 0.463641i \(0.153457\pi\)
\(422\) 9542.77 + 863742.i 0.00260852 + 0.236104i
\(423\) −201259. −0.0546895
\(424\) −4.30276e6 + 142659.i −1.16234 + 0.0385377i
\(425\) −649203. + 21790.1i −0.174344 + 0.00585175i
\(426\) 25584.1 + 2.31569e6i 0.00683040 + 0.618238i
\(427\) 34241.6 + 34241.6i 0.00908834 + 0.00908834i
\(428\) −1.37558e6 + 1.43775e6i −0.362974 + 0.379379i
\(429\) 1.27416e6 + 1.27416e6i 0.334258 + 0.334258i
\(430\) −3.57338e6 3.37986e6i −0.931983 0.881512i
\(431\) 1.10440e6 0.286374 0.143187 0.989696i \(-0.454265\pi\)
0.143187 + 0.989696i \(0.454265\pi\)
\(432\) 2.76688e6 + 2.53254e6i 0.713314 + 0.652900i
\(433\) 6.03130e6i 1.54593i 0.634446 + 0.772967i \(0.281228\pi\)
−0.634446 + 0.772967i \(0.718772\pi\)
\(434\) 9.41879e6 + 9.21295e6i 2.40033 + 2.34787i
\(435\) −170546. + 176366.i −0.0432134 + 0.0446882i
\(436\) 1.30251e6 1.36138e6i 0.328145 0.342976i
\(437\) −4.41158e6 4.41158e6i −1.10507 1.10507i
\(438\) 340734. 3764.49i 0.0848654 0.000937607i
\(439\) 4.39499e6i 1.08842i 0.838949 + 0.544210i \(0.183171\pi\)
−0.838949 + 0.544210i \(0.816829\pi\)
\(440\) −2.18313e6 1.97537e6i −0.537586 0.486426i
\(441\) 539783.i 0.132167i
\(442\) −5009.61 453433.i −0.00121969 0.110397i
\(443\) −2.61708e6 2.61708e6i −0.633590 0.633590i 0.315377 0.948967i \(-0.397869\pi\)
−0.948967 + 0.315377i \(0.897869\pi\)
\(444\) −132335. 5.98827e6i −0.0318579 1.44160i
\(445\) −1.20002e6 1.16041e6i −0.287268 0.277788i
\(446\) −2.77532e6 + 2.83733e6i −0.660657 + 0.675418i
\(447\) 6.72084e6i 1.59094i
\(448\) −499697. 7.52742e6i −0.117628 1.77195i
\(449\) 4.32274e6 1.01191 0.505957 0.862559i \(-0.331140\pi\)
0.505957 + 0.862559i \(0.331140\pi\)
\(450\) 194534. + 177912.i 0.0452861 + 0.0414166i
\(451\) 865866. + 865866.i 0.200452 + 0.200452i
\(452\) 1.54375e6 34115.4i 0.355411 0.00785425i
\(453\) −5.05841e6 5.05841e6i −1.15816 1.15816i
\(454\) 4.53284e6 50079.6i 1.03212 0.0114030i
\(455\) −83259.0 4.96255e6i −0.0188540 1.12377i
\(456\) −4.83640e6 + 5.16810e6i −1.08921 + 1.16391i
\(457\) 1.73639e6 0.388916 0.194458 0.980911i \(-0.437705\pi\)
0.194458 + 0.980911i \(0.437705\pi\)
\(458\) 5.59289e6 61791.2i 1.24587 0.0137646i
\(459\) −538390. + 538390.i −0.119279 + 0.119279i
\(460\) 3.36476e6 + 3.11284e6i 0.741411 + 0.685902i
\(461\) 913588. + 913588.i 0.200216 + 0.200216i 0.800092 0.599877i \(-0.204784\pi\)
−0.599877 + 0.800092i \(0.704784\pi\)
\(462\) −4.25510e6 + 4.35017e6i −0.927480 + 0.948203i
\(463\) 3.37017e6i 0.730634i 0.930883 + 0.365317i \(0.119039\pi\)
−0.930883 + 0.365317i \(0.880961\pi\)
\(464\) 206423. + 188940.i 0.0445105 + 0.0407407i
\(465\) 152358. + 9.08111e6i 0.0326763 + 1.94763i
\(466\) −1.64116e6 1.60530e6i −0.350096 0.342445i
\(467\) 2.30481e6 2.30481e6i 0.489039 0.489039i −0.418964 0.908003i \(-0.637607\pi\)
0.908003 + 0.418964i \(0.137607\pi\)
\(468\) −127224. + 132974.i −0.0268507 + 0.0280642i
\(469\) 4.61537e6 4.61537e6i 0.968891 0.968891i
\(470\) −118729. 4.26610e6i −0.0247920 0.890812i
\(471\) 1.60961e6i 0.334324i
\(472\) 226158. + 6.82117e6i 0.0467258 + 1.40930i
\(473\) 4.52537e6 0.930038
\(474\) 2.47926e6 27391.3i 0.506846 0.00559972i
\(475\) 5.19662e6 5.55758e6i 1.05679 1.13019i
\(476\) 1.53098e6 33833.2i 0.309708 0.00684425i
\(477\) −250785. + 250785.i −0.0504668 + 0.0504668i
\(478\) 5.26646e6 + 5.15136e6i 1.05426 + 1.03122i
\(479\) 2.58803e6 0.515384 0.257692 0.966227i \(-0.417038\pi\)
0.257692 + 0.966227i \(0.417038\pi\)
\(480\) 3.40312e6 3.93229e6i 0.674177 0.779009i
\(481\) −4.49481e6 −0.885827
\(482\) −1.34317e6 1.31381e6i −0.263338 0.257582i
\(483\) 6.69922e6 6.69922e6i 1.30664 1.30664i
\(484\) −2.44424e6 + 54015.3i −0.474275 + 0.0104810i
\(485\) −3.07175e6 2.97038e6i −0.592968 0.573399i
\(486\) 638178. 7050.70i 0.122561 0.00135407i
\(487\) −6.76933e6 −1.29337 −0.646686 0.762757i \(-0.723845\pi\)
−0.646686 + 0.762757i \(0.723845\pi\)
\(488\) 38054.4 1261.70i 0.00723361 0.000239833i
\(489\) 7.02629e6i 1.32878i
\(490\) 1.14418e7 318435.i 2.15281 0.0599143i
\(491\) −3.88450e6 + 3.88450e6i −0.727162 + 0.727162i −0.970053 0.242892i \(-0.921904\pi\)
0.242892 + 0.970053i \(0.421904\pi\)
\(492\) −1.49525e6 + 1.56283e6i −0.278484 + 0.291070i
\(493\) −40166.6 + 40166.6i −0.00744299 + 0.00744299i
\(494\) 3.79711e6 + 3.71412e6i 0.700061 + 0.684761i
\(495\) −242512. + 4068.73i −0.0444857 + 0.000746356i
\(496\) 1.03494e7 457646.i 1.88891 0.0835268i
\(497\) 5.86876e6i 1.06575i
\(498\) −5.05204e6 + 5.16492e6i −0.912837 + 0.933232i
\(499\) −4.15599e6 4.15599e6i −0.747176 0.747176i 0.226772 0.973948i \(-0.427183\pi\)
−0.973948 + 0.226772i \(0.927183\pi\)
\(500\) −3.65646e6 + 4.22851e6i −0.654087 + 0.756419i
\(501\) −190330. + 190330.i −0.0338776 + 0.0338776i
\(502\) −5.39305e6 + 59583.4i −0.955158 + 0.0105527i
\(503\) −6.81603e6 −1.20119 −0.600595 0.799554i \(-0.705069\pi\)
−0.600595 + 0.799554i \(0.705069\pi\)
\(504\) −453779. 424654.i −0.0795734 0.0744661i
\(505\) −15194.6 905659.i −0.00265132 0.158029i
\(506\) −4.21710e6 + 46591.2i −0.732213 + 0.00808961i
\(507\) −2.52747e6 2.52747e6i −0.436683 0.436683i
\(508\) 5.22771e6 115527.i 0.898778 0.0198621i
\(509\) −4.95542e6 4.95542e6i −0.847785 0.847785i 0.142071 0.989856i \(-0.454624\pi\)
−0.989856 + 0.142071i \(0.954624\pi\)
\(510\) 766919. + 725387.i 0.130564 + 0.123494i
\(511\) 863539. 0.146295
\(512\) −4.58994e6 3.75724e6i −0.773806 0.633423i
\(513\) 8.91856e6i 1.49624i
\(514\) 5.80216e6 5.93180e6i 0.968684 0.990327i
\(515\) −1.16313e6 + 1.20282e6i −0.193246 + 0.199841i
\(516\) 176601. + 7.99136e6i 0.0291991 + 1.32128i
\(517\) 2.77650e6 + 2.77650e6i 0.456847 + 0.456847i
\(518\) −167692. 1.51782e7i −0.0274591 2.48540i
\(519\) 1.50023e6i 0.244478i
\(520\) −2.89372e6 2.61834e6i −0.469298 0.424636i
\(521\) 1.16306e7i 1.87719i 0.345024 + 0.938594i \(0.387871\pi\)
−0.345024 + 0.938594i \(0.612129\pi\)
\(522\) 23052.0 254.683i 0.00370282 4.09094e-5i
\(523\) −4.00159e6 4.00159e6i −0.639703 0.639703i 0.310779 0.950482i \(-0.399410\pi\)
−0.950482 + 0.310779i \(0.899410\pi\)
\(524\) 2.44797e6 2.55861e6i 0.389473 0.407076i
\(525\) 8.43948e6 + 7.89134e6i 1.33634 + 1.24955i
\(526\) 1.67991e6 + 1.64319e6i 0.264741 + 0.258955i
\(527\) 2.10288e6i 0.329828i
\(528\) 211369. + 4.77997e6i 0.0329956 + 0.746175i
\(529\) 129702. 0.0201515
\(530\) −5.46386e6 5.16797e6i −0.844909 0.799153i
\(531\) 397570. + 397570.i 0.0611895 + 0.0611895i
\(532\) −1.24003e7 + 1.29608e7i −1.89956 + 1.98542i
\(533\) 1.14770e6 + 1.14770e6i 0.174989 + 0.174989i
\(534\) 29970.0 + 2.71267e6i 0.00454814 + 0.411665i
\(535\) −3.47556e6 + 58311.0i −0.524977 + 0.00880777i
\(536\) −170063. 5.12929e6i −0.0255681 0.771161i
\(537\) 1.00850e7 1.50917
\(538\) −63698.7 5.76554e6i −0.00948801 0.858785i
\(539\) −7.44666e6 + 7.44666e6i −1.10405 + 1.10405i
\(540\) 254643. + 6.54763e6i 0.0375792 + 0.966273i
\(541\) 313254. + 313254.i 0.0460155 + 0.0460155i 0.729740 0.683725i \(-0.239641\pi\)
−0.683725 + 0.729740i \(0.739641\pi\)
\(542\) −7.27199e6 7.11306e6i −1.06330 1.04006i
\(543\) 3.28478e6i 0.478086i
\(544\) 803097. 897110.i 0.116351 0.129972i
\(545\) 3.29096e6 55213.8i 0.474603 0.00796263i
\(546\) −5.64009e6 + 5.76611e6i −0.809664 + 0.827754i
\(547\) 3.84095e6 3.84095e6i 0.548871 0.548871i −0.377243 0.926114i \(-0.623128\pi\)
0.926114 + 0.377243i \(0.123128\pi\)
\(548\) −98505.2 4.45744e6i −0.0140123 0.634066i
\(549\) 2217.99 2217.99i 0.000314071 0.000314071i
\(550\) −229311. 5.13814e6i −0.0323234 0.724268i
\(551\) 665369.i 0.0933648i
\(552\) −246847. 7.44517e6i −0.0344810 1.03998i
\(553\) 6.28330e6 0.873726
\(554\) 1493.16 + 135150.i 0.000206695 + 0.0187086i
\(555\) 7.27375e6 7.52198e6i 1.00236 1.03657i
\(556\) −7.52747e6 7.20196e6i −1.03267 0.988016i
\(557\) 7.66828e6 7.66828e6i 1.04727 1.04727i 0.0484468 0.998826i \(-0.484573\pi\)
0.998826 0.0484468i \(-0.0154271\pi\)
\(558\) 596765. 610099.i 0.0811368 0.0829496i
\(559\) 5.99833e6 0.811897
\(560\) 8.73372e6 9.86930e6i 1.17687 1.32989i
\(561\) −971235. −0.130292
\(562\) 4.02782e6 4.11782e6i 0.537935 0.549954i
\(563\) −4.62173e6 + 4.62173e6i −0.614516 + 0.614516i −0.944120 0.329603i \(-0.893085\pi\)
0.329603 + 0.944120i \(0.393085\pi\)
\(564\) −4.79467e6 + 5.01138e6i −0.634689 + 0.663375i
\(565\) 1.93914e6 + 1.87514e6i 0.255557 + 0.247123i
\(566\) −42381.5 3.83606e6i −0.00556077 0.503321i
\(567\) 1.43776e7 1.87814
\(568\) 3.36924e6 + 3.15299e6i 0.438189 + 0.410065i
\(569\) 1.19451e7i 1.54671i 0.633973 + 0.773355i \(0.281423\pi\)
−0.633973 + 0.773355i \(0.718577\pi\)
\(570\) −1.23602e7 + 343994.i −1.59345 + 0.0443470i
\(571\) −2.30065e6 + 2.30065e6i −0.295298 + 0.295298i −0.839169 0.543871i \(-0.816958\pi\)
0.543871 + 0.839169i \(0.316958\pi\)
\(572\) 3.58961e6 79327.0i 0.458730 0.0101375i
\(573\) −8.56285e6 + 8.56285e6i −1.08951 + 1.08951i
\(574\) −3.83277e6 + 3.91840e6i −0.485549 + 0.496397i
\(575\) 268618. + 8.00309e6i 0.0338818 + 1.00946i
\(576\) −487586. + 32367.7i −0.0612343 + 0.00406495i
\(577\) 2.31660e6i 0.289675i 0.989455 + 0.144838i \(0.0462660\pi\)
−0.989455 + 0.144838i \(0.953734\pi\)
\(578\) −5.56710e6 5.44543e6i −0.693122 0.677973i
\(579\) 3.72865e6 + 3.72865e6i 0.462227 + 0.462227i
\(580\) 18997.6 + 488486.i 0.00234493 + 0.0602951i
\(581\) −1.29467e7 + 1.29467e7i −1.59117 + 1.59117i
\(582\) 76716.0 + 6.94378e6i 0.00938812 + 0.849744i
\(583\) 6.91949e6 0.843146
\(584\) 463937. 495756.i 0.0562895 0.0601500i
\(585\) −321447. + 5393.07i −0.0388347 + 0.000651548i
\(586\) −155077. 1.40365e7i −0.0186554 1.68855i
\(587\) 9.44288e6 + 9.44288e6i 1.13112 + 1.13112i 0.989991 + 0.141130i \(0.0450736\pi\)
0.141130 + 0.989991i \(0.454926\pi\)
\(588\) −1.34407e7 1.28595e7i −1.60317 1.53384i
\(589\) −1.74173e7 1.74173e7i −2.06868 2.06868i
\(590\) −8.19278e6 + 8.66185e6i −0.968949 + 1.02443i
\(591\) −5.58364e6 −0.657580
\(592\) −8.80388e6 8.05824e6i −1.03245 0.945009i
\(593\) 2.00033e6i 0.233596i 0.993156 + 0.116798i \(0.0372630\pi\)
−0.993156 + 0.116798i \(0.962737\pi\)
\(594\) −4.30979e6 4.21560e6i −0.501176 0.490223i
\(595\) 1.92309e6 + 1.85963e6i 0.222694 + 0.215345i
\(596\) 9.67629e6 + 9.25787e6i 1.11582 + 1.06757i
\(597\) −978899. 978899.i −0.112409 0.112409i
\(598\) −5.58973e6 + 61756.3i −0.639201 + 0.00706201i
\(599\) 1.32056e7i 1.50381i −0.659272 0.751905i \(-0.729135\pi\)
0.659272 0.751905i \(-0.270865\pi\)
\(600\) 9.06452e6 605455.i 1.02794 0.0686600i
\(601\) 9.60679e6i 1.08491i −0.840086 0.542453i \(-0.817496\pi\)
0.840086 0.542453i \(-0.182504\pi\)
\(602\) 223785. + 2.02554e7i 0.0251674 + 2.27797i
\(603\) −298959. 298959.i −0.0334825 0.0334825i
\(604\) −1.42507e7 + 314927.i −1.58944 + 0.0351251i
\(605\) −3.07025e6 2.96893e6i −0.341025 0.329770i
\(606\) −1.02931e6 + 1.05231e6i −0.113858 + 0.116402i
\(607\) 1.24930e7i 1.37624i −0.725596 0.688121i \(-0.758436\pi\)
0.725596 0.688121i \(-0.241564\pi\)
\(608\) 778671. + 1.40822e7i 0.0854270 + 1.54494i
\(609\) 1.01040e6 0.110395
\(610\) 48323.3 + 45706.4i 0.00525814 + 0.00497339i
\(611\) 3.68022e6 + 3.68022e6i 0.398815 + 0.398815i
\(612\) −2191.53 99168.7i −0.000236521 0.0107028i
\(613\) −2.88232e6 2.88232e6i −0.309807 0.309807i 0.535028 0.844834i \(-0.320301\pi\)
−0.844834 + 0.535028i \(0.820301\pi\)
\(614\) 3.48960e6 38553.6i 0.373555 0.00412710i
\(615\) −3.77792e6 + 63383.9i −0.402777 + 0.00675758i
\(616\) 401794. + 1.21186e7i 0.0426631 + 1.28676i
\(617\) −1.96443e6 −0.207741 −0.103871 0.994591i \(-0.533123\pi\)
−0.103871 + 0.994591i \(0.533123\pi\)
\(618\) 2.71902e6 30040.2i 0.286379 0.00316396i
\(619\) −5.99526e6 + 5.99526e6i −0.628900 + 0.628900i −0.947791 0.318892i \(-0.896689\pi\)
0.318892 + 0.947791i \(0.396689\pi\)
\(620\) 1.32844e7 + 1.22898e7i 1.38791 + 1.28400i
\(621\) 6.63704e6 + 6.63704e6i 0.690630 + 0.690630i
\(622\) −426313. + 435838.i −0.0441827 + 0.0451699i
\(623\) 6.87485e6i 0.709648i
\(624\) 280168. + 6.33581e6i 0.0288042 + 0.651390i
\(625\) −9.74365e6 + 654816.i −0.997749 + 0.0670531i
\(626\) 3.44439e6 + 3.36911e6i 0.351298 + 0.343621i
\(627\) 8.04437e6 8.04437e6i 0.817190 0.817190i
\(628\) 2.31742e6 + 2.21721e6i 0.234480 + 0.224341i
\(629\) 1.71309e6 1.71309e6i 0.172645 0.172645i
\(630\) −30204.0 1.08527e6i −0.00303189 0.108940i
\(631\) 8.99829e6i 0.899677i −0.893110 0.449839i \(-0.851482\pi\)
0.893110 0.449839i \(-0.148518\pi\)
\(632\) 3.37571e6 3.60723e6i 0.336180 0.359237i
\(633\) 2.45229e6 0.243256
\(634\) 1.42708e7 157667.i 1.41002 0.0155782i
\(635\) 6.56663e6 + 6.34992e6i 0.646261 + 0.624934i
\(636\) 270032. + 1.22192e7i 0.0264711 + 1.19784i
\(637\) −9.87049e6 + 9.87049e6i −0.963807 + 0.963807i
\(638\) −321532. 314504.i −0.0312732 0.0305897i
\(639\) 380146. 0.0368297
\(640\) −973742. 1.03163e7i −0.0939711 0.995575i
\(641\) −1.28061e6 −0.123104 −0.0615521 0.998104i \(-0.519605\pi\)
−0.0615521 + 0.998104i \(0.519605\pi\)
\(642\) 4.03833e6 + 3.95008e6i 0.386692 + 0.378240i
\(643\) −2.10468e6 + 2.10468e6i −0.200752 + 0.200752i −0.800322 0.599570i \(-0.795338\pi\)
0.599570 + 0.800322i \(0.295338\pi\)
\(644\) −417081. 1.88733e7i −0.0396283 1.79321i
\(645\) −9.70683e6 + 1.00381e7i −0.918709 + 0.950063i
\(646\) −2.86273e6 + 31627.9i −0.269898 + 0.00298188i
\(647\) 1.66571e7 1.56437 0.782186 0.623045i \(-0.214105\pi\)
0.782186 + 0.623045i \(0.214105\pi\)
\(648\) 7.72437e6 8.25415e6i 0.722646 0.772209i
\(649\) 1.09695e7i 1.02229i
\(650\) −303949. 6.81057e6i −0.0282174 0.632266i
\(651\) 2.64491e7 2.64491e7i 2.44601 2.44601i
\(652\) −1.01161e7 9.67862e6i −0.931950 0.891650i
\(653\) 3.03389e6 3.03389e6i 0.278431 0.278431i −0.554052 0.832482i \(-0.686919\pi\)
0.832482 + 0.554052i \(0.186919\pi\)
\(654\) −3.82384e6 3.74027e6i −0.349587 0.341947i
\(655\) 6.18509e6 103770.i 0.563304 0.00945080i
\(656\) 190390. + 4.30555e6i 0.0172737 + 0.390633i
\(657\) 55935.4i 0.00505561i
\(658\) −1.22902e7 + 1.25648e7i −1.10661 + 1.13133i
\(659\) 4.47397e6 + 4.47397e6i 0.401309 + 0.401309i 0.878694 0.477385i \(-0.158415\pi\)
−0.477385 + 0.878694i \(0.658415\pi\)
\(660\) −5.67615e6 + 6.13552e6i −0.507218 + 0.548266i
\(661\) −1.05294e7 + 1.05294e7i −0.937347 + 0.937347i −0.998150 0.0608025i \(-0.980634\pi\)
0.0608025 + 0.998150i \(0.480634\pi\)
\(662\) 1.05178e7 116202.i 0.932778 0.0103055i
\(663\) −1.28736e6 −0.113741
\(664\) 477047. + 1.43882e7i 0.0419895 + 1.26645i
\(665\) −3.13309e7 + 525652.i −2.74738 + 0.0460940i
\(666\) −983163. + 10862.2i −0.0858895 + 0.000948922i
\(667\) 495156. + 495156.i 0.0430950 + 0.0430950i
\(668\) 11849.6 + 536203.i 0.00102745 + 0.0464931i
\(669\) 7.96757e6 + 7.96757e6i 0.688273 + 0.688273i
\(670\) 6.16069e6 6.51342e6i 0.530203 0.560560i
\(671\) −61197.2 −0.00524717
\(672\) −2.13845e7 + 1.18245e6i −1.82674 + 0.101009i
\(673\) 1.92483e7i 1.63815i −0.573686 0.819075i \(-0.694487\pi\)
0.573686 0.819075i \(-0.305513\pi\)
\(674\) 3.68273e6 3.76502e6i 0.312263 0.319240i
\(675\) −7.81810e6 + 8.36114e6i −0.660452 + 0.706327i
\(676\) −7.12048e6 + 157356.i −0.599297 + 0.0132439i
\(677\) 8.88199e6 + 8.88199e6i 0.744798 + 0.744798i 0.973497 0.228699i \(-0.0734473\pi\)
−0.228699 + 0.973497i \(0.573447\pi\)
\(678\) −48429.3 4.38347e6i −0.00404608 0.366222i
\(679\) 1.75979e7i 1.46483i
\(680\) 2.10079e6 104957.i 0.174225 0.00870439i
\(681\) 1.28694e7i 1.06338i
\(682\) −1.66495e7 + 183946.i −1.37069 + 0.0151436i
\(683\) −1.14888e7 1.14888e7i −0.942374 0.942374i 0.0560534 0.998428i \(-0.482148\pi\)
−0.998428 + 0.0560534i \(0.982148\pi\)
\(684\) 839528. + 803225.i 0.0686112 + 0.0656443i
\(685\) 5.41431e6 5.59908e6i 0.440876 0.455922i
\(686\) −1.80517e7 1.76571e7i −1.46456 1.43255i
\(687\) 1.58790e7i 1.28361i
\(688\) 1.17488e7 + 1.07537e7i 0.946285 + 0.866140i
\(689\) 9.17173e6 0.736043
\(690\) 8.94225e6 9.45424e6i 0.715030 0.755969i
\(691\) 1.65312e7 + 1.65312e7i 1.31707 + 1.31707i 0.916082 + 0.400991i \(0.131334\pi\)
0.400991 + 0.916082i \(0.368666\pi\)
\(692\) 2.15995e6 + 2.06655e6i 0.171466 + 0.164052i
\(693\) 706326. + 706326.i 0.0558692 + 0.0558692i
\(694\) −31271.7 2.83049e6i −0.00246464 0.223081i
\(695\) −305293. 1.81966e7i −0.0239748 1.42899i
\(696\) 542837. 580067.i 0.0424763 0.0453895i
\(697\) −874838. −0.0682096
\(698\) −135924. 1.23028e7i −0.0105598 0.955799i
\(699\) −4.60859e6 + 4.60859e6i −0.356759 + 0.356759i
\(700\) 2.29868e7 1.28047e6i 1.77310 0.0987700i
\(701\) −5.77441e6 5.77441e6i −0.443826 0.443826i 0.449470 0.893296i \(-0.351613\pi\)
−0.893296 + 0.449470i \(0.851613\pi\)
\(702\) −5.71259e6 5.58774e6i −0.437512 0.427951i
\(703\) 2.83778e7i 2.16566i
\(704\) 7.17310e6 + 6.28003e6i 0.545475 + 0.477563i
\(705\) −1.21143e7 + 203247.i −0.917965 + 0.0154011i
\(706\) 5.97093e6 6.10434e6i 0.450848 0.460922i
\(707\) −2.63777e6 + 2.63777e6i −0.198467 + 0.198467i
\(708\) 1.93710e7 428081.i 1.45234 0.0320954i
\(709\) 8.73098e6 8.73098e6i 0.652300 0.652300i −0.301247 0.953546i \(-0.597403\pi\)
0.953546 + 0.301247i \(0.0974027\pi\)
\(710\) 224260. + 8.05799e6i 0.0166958 + 0.599903i
\(711\) 406998.i 0.0301939i
\(712\) 3.94684e6 + 3.69352e6i 0.291776 + 0.273049i
\(713\) 2.59233e7 1.90971
\(714\) −48028.7 4.34721e6i −0.00352578 0.319128i
\(715\) 4.50898e6 + 4.36018e6i 0.329848 + 0.318962i
\(716\) 1.38919e7 1.45198e7i 1.01270 1.05847i
\(717\) 1.47889e7 1.47889e7i 1.07433 1.07433i
\(718\) 1.67948e7 1.71700e7i 1.21580 1.24297i
\(719\) 1.93405e7 1.39523 0.697615 0.716472i \(-0.254244\pi\)
0.697615 + 0.716472i \(0.254244\pi\)
\(720\) −639280. 565723.i −0.0459579 0.0406699i
\(721\) 6.89094e6 0.493674
\(722\) 1.36546e7 1.39597e7i 0.974844 0.996626i
\(723\) −3.77178e6 + 3.77178e6i −0.268350 + 0.268350i
\(724\) 4.72924e6 + 4.52474e6i 0.335309 + 0.320809i
\(725\) −583268. + 623782.i −0.0412120 + 0.0440746i
\(726\) 76678.7 + 6.94040e6i 0.00539925 + 0.488700i
\(727\) −1.13084e7 −0.793536 −0.396768 0.917919i \(-0.629868\pi\)
−0.396768 + 0.917919i \(0.629868\pi\)
\(728\) 532575. + 1.60630e7i 0.0372437 + 1.12331i
\(729\) 1.33636e7i 0.931330i
\(730\) 1.18567e6 32998.0i 0.0823485 0.00229182i
\(731\) −2.28613e6 + 2.28613e6i −0.158237 + 0.158237i
\(732\) −2388.21 108068.i −0.000164738 0.00745454i
\(733\) −2.99462e6 + 2.99462e6i −0.205864 + 0.205864i −0.802507 0.596643i \(-0.796501\pi\)
0.596643 + 0.802507i \(0.296501\pi\)
\(734\) −1.72906e6 + 1.76769e6i −0.118460 + 0.121106i
\(735\) −545117. 3.24910e7i −0.0372195 2.21843i
\(736\) −1.10592e7 9.90023e6i −0.752538 0.673675i
\(737\) 8.24867e6i 0.559391i
\(738\) 253813. + 248266.i 0.0171543 + 0.0167794i
\(739\) −9.06668e6 9.06668e6i −0.610713 0.610713i 0.332419 0.943132i \(-0.392135\pi\)
−0.943132 + 0.332419i \(0.892135\pi\)
\(740\) −810245. 2.08338e7i −0.0543922 1.39858i
\(741\) 1.06627e7 1.06627e7i 0.713384 0.713384i
\(742\) 342177. + 3.09714e7i 0.0228161 + 2.06515i
\(743\) −2.72194e7 −1.80887 −0.904433 0.426615i \(-0.859706\pi\)
−0.904433 + 0.426615i \(0.859706\pi\)
\(744\) −974574. 2.93942e7i −0.0645479 1.94684i
\(745\) 392443. + 2.33911e7i 0.0259052 + 1.54405i
\(746\) 269051. + 2.43526e7i 0.0177006 + 1.60213i
\(747\) 838614. + 838614.i 0.0549871 + 0.0549871i
\(748\) −1.33786e6 + 1.39833e6i −0.0874295 + 0.0913810i
\(749\) 1.01227e7 + 1.01227e7i 0.659314 + 0.659314i
\(750\) 1.18892e7 + 1.05126e7i 0.771792 + 0.682427i
\(751\) −9.23227e6 −0.597322 −0.298661 0.954359i \(-0.596540\pi\)
−0.298661 + 0.954359i \(0.596540\pi\)
\(752\) 610506. + 1.38062e7i 0.0393682 + 0.890287i
\(753\) 1.53117e7i 0.984090i
\(754\) −426187. 416873.i −0.0273006 0.0267039i
\(755\) −1.79006e7 1.73099e7i −1.14288 1.10516i
\(756\) 1.86557e7 1.94989e7i 1.18716 1.24081i
\(757\) −5.33486e6 5.33486e6i −0.338364 0.338364i 0.517388 0.855751i \(-0.326905\pi\)
−0.855751 + 0.517388i \(0.826905\pi\)
\(758\) 1.88150e7 207871.i 1.18941 0.0131408i
\(759\) 1.19730e7i 0.754392i
\(760\) −1.65308e7 + 1.82694e7i −1.03815 + 1.14733i
\(761\) 4.49487e6i