Properties

Label 105.4.s.a.26.4
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.4
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.06378 - 1.76887i) q^{2} +(-0.433556 - 5.17803i) q^{3} +(2.25781 + 3.91065i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-7.83096 + 16.6312i) q^{6} +(5.77785 + 17.5959i) q^{7} +12.3268i q^{8} +(-26.6241 + 4.48993i) q^{9} +O(q^{10})\) \(q+(-3.06378 - 1.76887i) q^{2} +(-0.433556 - 5.17803i) q^{3} +(2.25781 + 3.91065i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-7.83096 + 16.6312i) q^{6} +(5.77785 + 17.5959i) q^{7} +12.3268i q^{8} +(-26.6241 + 4.48993i) q^{9} +(15.3189 - 8.84436i) q^{10} +(3.05657 - 1.76471i) q^{11} +(19.2706 - 13.3865i) q^{12} +14.5404i q^{13} +(13.4229 - 64.1302i) q^{14} +(23.5054 + 11.0677i) q^{15} +(39.8671 - 69.0518i) q^{16} +(30.9412 + 53.5917i) q^{17} +(89.5123 + 33.3384i) q^{18} +(-39.8972 - 23.0346i) q^{19} -22.5781 q^{20} +(88.6072 - 37.5467i) q^{21} -12.4862 q^{22} +(99.5813 + 57.4933i) q^{23} +(63.8287 - 5.34436i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(25.7201 - 44.5486i) q^{26} +(34.7920 + 135.914i) q^{27} +(-55.7661 + 62.3234i) q^{28} +127.376i q^{29} +(-52.4380 - 75.4871i) q^{30} +(183.725 - 106.074i) q^{31} +(-158.885 + 91.7322i) q^{32} +(-10.4629 - 15.0619i) q^{33} -218.924i q^{34} +(-90.6372 - 18.9710i) q^{35} +(-77.6707 - 93.9799i) q^{36} +(-142.232 + 246.353i) q^{37} +(81.4907 + 141.146i) q^{38} +(75.2907 - 6.30408i) q^{39} +(-53.3767 - 30.8170i) q^{40} -328.199 q^{41} +(-337.888 - 41.7001i) q^{42} -108.351 q^{43} +(13.8023 + 7.96879i) q^{44} +(47.1182 - 126.510i) q^{45} +(-203.396 - 352.293i) q^{46} +(-194.765 + 337.343i) q^{47} +(-374.837 - 176.495i) q^{48} +(-276.233 + 203.333i) q^{49} +88.4436i q^{50} +(264.085 - 183.450i) q^{51} +(-56.8624 + 32.8295i) q^{52} +(514.874 - 297.263i) q^{53} +(133.819 - 477.951i) q^{54} +17.6471i q^{55} +(-216.902 + 71.2225i) q^{56} +(-101.976 + 216.576i) q^{57} +(225.313 - 390.253i) q^{58} +(275.460 + 477.110i) q^{59} +(9.78888 + 116.910i) q^{60} +(411.663 + 237.674i) q^{61} -750.523 q^{62} +(-232.834 - 442.533i) q^{63} +11.1767 q^{64} +(-62.9618 - 36.3510i) q^{65} +(5.41347 + 64.6540i) q^{66} +(208.025 + 360.310i) q^{67} +(-139.719 + 242.000i) q^{68} +(254.528 - 540.562i) q^{69} +(244.135 + 218.448i) q^{70} +399.916i q^{71} +(-55.3466 - 328.190i) q^{72} +(-134.493 + 77.6498i) q^{73} +(871.535 - 503.181i) q^{74} +(-106.688 + 74.1122i) q^{75} -208.032i q^{76} +(48.7122 + 43.5870i) q^{77} +(-241.825 - 113.865i) q^{78} +(-586.016 + 1015.01i) q^{79} +(199.335 + 345.259i) q^{80} +(688.681 - 239.080i) q^{81} +(1005.53 + 580.543i) q^{82} +4.43096 q^{83} +(346.891 + 261.738i) q^{84} -309.412 q^{85} +(331.963 + 191.659i) q^{86} +(659.560 - 55.2248i) q^{87} +(21.7533 + 37.6778i) q^{88} +(505.709 - 875.913i) q^{89} +(-368.140 + 304.253i) q^{90} +(-255.852 + 84.0123i) q^{91} +519.236i q^{92} +(-628.908 - 905.346i) q^{93} +(1193.43 - 689.028i) q^{94} +(199.486 - 115.173i) q^{95} +(543.878 + 782.940i) q^{96} +27.5269i q^{97} +(1205.99 - 134.347i) q^{98} +(-73.4549 + 60.7076i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.06378 1.76887i −1.08321 0.625391i −0.151448 0.988465i \(-0.548394\pi\)
−0.931760 + 0.363075i \(0.881727\pi\)
\(3\) −0.433556 5.17803i −0.0834379 0.996513i
\(4\) 2.25781 + 3.91065i 0.282227 + 0.488831i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) −7.83096 + 16.6312i −0.532829 + 1.13161i
\(7\) 5.77785 + 17.5959i 0.311975 + 0.950090i
\(8\) 12.3268i 0.544773i
\(9\) −26.6241 + 4.48993i −0.986076 + 0.166294i
\(10\) 15.3189 8.84436i 0.484425 0.279683i
\(11\) 3.05657 1.76471i 0.0837811 0.0483710i −0.457524 0.889197i \(-0.651264\pi\)
0.541305 + 0.840826i \(0.317930\pi\)
\(12\) 19.2706 13.3865i 0.463578 0.322030i
\(13\) 14.5404i 0.310214i 0.987898 + 0.155107i \(0.0495723\pi\)
−0.987898 + 0.155107i \(0.950428\pi\)
\(14\) 13.4229 64.1302i 0.256244 1.22425i
\(15\) 23.5054 + 11.0677i 0.404605 + 0.190512i
\(16\) 39.8671 69.0518i 0.622923 1.07893i
\(17\) 30.9412 + 53.5917i 0.441432 + 0.764582i 0.997796 0.0663561i \(-0.0211373\pi\)
−0.556364 + 0.830939i \(0.687804\pi\)
\(18\) 89.5123 + 33.3384i 1.17212 + 0.436552i
\(19\) −39.8972 23.0346i −0.481739 0.278132i 0.239402 0.970921i \(-0.423049\pi\)
−0.721141 + 0.692788i \(0.756382\pi\)
\(20\) −22.5781 −0.252431
\(21\) 88.6072 37.5467i 0.920747 0.390160i
\(22\) −12.4862 −0.121003
\(23\) 99.5813 + 57.4933i 0.902788 + 0.521225i 0.878104 0.478470i \(-0.158809\pi\)
0.0246846 + 0.999695i \(0.492142\pi\)
\(24\) 63.8287 5.34436i 0.542874 0.0454547i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) 25.7201 44.5486i 0.194005 0.336027i
\(27\) 34.7920 + 135.914i 0.247990 + 0.968763i
\(28\) −55.7661 + 62.3234i −0.376386 + 0.420644i
\(29\) 127.376i 0.815628i 0.913065 + 0.407814i \(0.133709\pi\)
−0.913065 + 0.407814i \(0.866291\pi\)
\(30\) −52.4380 75.4871i −0.319127 0.459400i
\(31\) 183.725 106.074i 1.06445 0.614561i 0.137791 0.990461i \(-0.456000\pi\)
0.926660 + 0.375900i \(0.122666\pi\)
\(32\) −158.885 + 91.7322i −0.877723 + 0.506753i
\(33\) −10.4629 15.0619i −0.0551929 0.0794529i
\(34\) 218.924i 1.10427i
\(35\) −90.6372 18.9710i −0.437728 0.0916194i
\(36\) −77.6707 93.9799i −0.359587 0.435092i
\(37\) −142.232 + 246.353i −0.631969 + 1.09460i 0.355180 + 0.934798i \(0.384419\pi\)
−0.987149 + 0.159804i \(0.948914\pi\)
\(38\) 81.4907 + 141.146i 0.347882 + 0.602550i
\(39\) 75.2907 6.30408i 0.309132 0.0258836i
\(40\) −53.3767 30.8170i −0.210990 0.121815i
\(41\) −328.199 −1.25015 −0.625075 0.780565i \(-0.714932\pi\)
−0.625075 + 0.780565i \(0.714932\pi\)
\(42\) −337.888 41.7001i −1.24136 0.153202i
\(43\) −108.351 −0.384264 −0.192132 0.981369i \(-0.561540\pi\)
−0.192132 + 0.981369i \(0.561540\pi\)
\(44\) 13.8023 + 7.96879i 0.0472905 + 0.0273032i
\(45\) 47.1182 126.510i 0.156088 0.419090i
\(46\) −203.396 352.293i −0.651939 1.12919i
\(47\) −194.765 + 337.343i −0.604455 + 1.04695i 0.387682 + 0.921793i \(0.373276\pi\)
−0.992137 + 0.125154i \(0.960058\pi\)
\(48\) −374.837 176.495i −1.12715 0.530727i
\(49\) −276.233 + 203.333i −0.805344 + 0.592808i
\(50\) 88.4436i 0.250156i
\(51\) 264.085 183.450i 0.725084 0.503688i
\(52\) −56.8624 + 32.8295i −0.151642 + 0.0875507i
\(53\) 514.874 297.263i 1.33440 0.770418i 0.348433 0.937334i \(-0.386714\pi\)
0.985971 + 0.166915i \(0.0533807\pi\)
\(54\) 133.819 477.951i 0.337230 1.20446i
\(55\) 17.6471i 0.0432643i
\(56\) −216.902 + 71.2225i −0.517584 + 0.169955i
\(57\) −101.976 + 216.576i −0.236967 + 0.503266i
\(58\) 225.313 390.253i 0.510086 0.883495i
\(59\) 275.460 + 477.110i 0.607827 + 1.05279i 0.991598 + 0.129359i \(0.0412921\pi\)
−0.383770 + 0.923429i \(0.625375\pi\)
\(60\) 9.78888 + 116.910i 0.0210623 + 0.251551i
\(61\) 411.663 + 237.674i 0.864067 + 0.498869i 0.865372 0.501130i \(-0.167082\pi\)
−0.00130515 + 0.999999i \(0.500415\pi\)
\(62\) −750.523 −1.53736
\(63\) −232.834 442.533i −0.465625 0.884982i
\(64\) 11.1767 0.0218295
\(65\) −62.9618 36.3510i −0.120145 0.0693660i
\(66\) 5.41347 + 64.6540i 0.0100962 + 0.120581i
\(67\) 208.025 + 360.310i 0.379318 + 0.656998i 0.990963 0.134134i \(-0.0428253\pi\)
−0.611645 + 0.791132i \(0.709492\pi\)
\(68\) −139.719 + 242.000i −0.249168 + 0.431571i
\(69\) 254.528 540.562i 0.444081 0.943130i
\(70\) 244.135 + 218.448i 0.416853 + 0.372994i
\(71\) 399.916i 0.668470i 0.942490 + 0.334235i \(0.108478\pi\)
−0.942490 + 0.334235i \(0.891522\pi\)
\(72\) −55.3466 328.190i −0.0905925 0.537188i
\(73\) −134.493 + 77.6498i −0.215634 + 0.124496i −0.603927 0.797040i \(-0.706398\pi\)
0.388293 + 0.921536i \(0.373065\pi\)
\(74\) 871.535 503.181i 1.36911 0.790454i
\(75\) −106.688 + 74.1122i −0.164257 + 0.114103i
\(76\) 208.032i 0.313985i
\(77\) 48.7122 + 43.5870i 0.0720944 + 0.0645090i
\(78\) −241.825 113.865i −0.351042 0.165291i
\(79\) −586.016 + 1015.01i −0.834581 + 1.44554i 0.0597897 + 0.998211i \(0.480957\pi\)
−0.894371 + 0.447326i \(0.852376\pi\)
\(80\) 199.335 + 345.259i 0.278580 + 0.482514i
\(81\) 688.681 239.080i 0.944693 0.327957i
\(82\) 1005.53 + 580.543i 1.35417 + 0.781832i
\(83\) 4.43096 0.00585977 0.00292988 0.999996i \(-0.499067\pi\)
0.00292988 + 0.999996i \(0.499067\pi\)
\(84\) 346.891 + 261.738i 0.450582 + 0.339976i
\(85\) −309.412 −0.394829
\(86\) 331.963 + 191.659i 0.416238 + 0.240315i
\(87\) 659.560 55.2248i 0.812784 0.0680543i
\(88\) 21.7533 + 37.6778i 0.0263512 + 0.0456417i
\(89\) 505.709 875.913i 0.602303 1.04322i −0.390168 0.920744i \(-0.627583\pi\)
0.992471 0.122476i \(-0.0390836\pi\)
\(90\) −368.140 + 304.253i −0.431171 + 0.356346i
\(91\) −255.852 + 84.0123i −0.294732 + 0.0967789i
\(92\) 519.236i 0.588415i
\(93\) −628.908 905.346i −0.701234 1.00946i
\(94\) 1193.43 689.028i 1.30950 0.756041i
\(95\) 199.486 115.173i 0.215440 0.124384i
\(96\) 543.878 + 782.940i 0.578222 + 0.832380i
\(97\) 27.5269i 0.0288137i 0.999896 + 0.0144069i \(0.00458600\pi\)
−0.999896 + 0.0144069i \(0.995414\pi\)
\(98\) 1205.99 134.347i 1.24309 0.138480i
\(99\) −73.4549 + 60.7076i −0.0745707 + 0.0616298i
\(100\) 56.4453 97.7662i 0.0564453 0.0977662i
\(101\) −953.191 1650.97i −0.939069 1.62652i −0.767211 0.641394i \(-0.778356\pi\)
−0.171858 0.985122i \(-0.554977\pi\)
\(102\) −1133.60 + 94.9158i −1.10042 + 0.0921379i
\(103\) 1509.53 + 871.529i 1.44407 + 0.833732i 0.998118 0.0613274i \(-0.0195334\pi\)
0.445948 + 0.895059i \(0.352867\pi\)
\(104\) −179.237 −0.168996
\(105\) −58.9361 + 477.547i −0.0547769 + 0.443846i
\(106\) −2103.28 −1.92725
\(107\) −1554.57 897.534i −1.40455 0.810915i −0.409690 0.912225i \(-0.634363\pi\)
−0.994855 + 0.101310i \(0.967697\pi\)
\(108\) −452.956 + 442.927i −0.403572 + 0.394636i
\(109\) −382.680 662.821i −0.336276 0.582447i 0.647453 0.762105i \(-0.275834\pi\)
−0.983729 + 0.179658i \(0.942501\pi\)
\(110\) 31.2155 54.0669i 0.0270571 0.0468643i
\(111\) 1337.29 + 629.675i 1.14351 + 0.538434i
\(112\) 1445.38 + 302.527i 1.21942 + 0.255233i
\(113\) 142.010i 0.118222i 0.998251 + 0.0591112i \(0.0188267\pi\)
−0.998251 + 0.0591112i \(0.981173\pi\)
\(114\) 695.528 483.156i 0.571422 0.396945i
\(115\) −497.906 + 287.466i −0.403739 + 0.233099i
\(116\) −498.124 + 287.592i −0.398704 + 0.230192i
\(117\) −65.2855 387.125i −0.0515867 0.305895i
\(118\) 1949.01i 1.52052i
\(119\) −764.222 + 854.084i −0.588707 + 0.657931i
\(120\) −136.430 + 289.747i −0.103786 + 0.220418i
\(121\) −659.272 + 1141.89i −0.495320 + 0.857920i
\(122\) −840.829 1456.36i −0.623976 1.08076i
\(123\) 142.293 + 1699.43i 0.104310 + 1.24579i
\(124\) 829.634 + 478.989i 0.600833 + 0.346891i
\(125\) 125.000 0.0894427
\(126\) −69.4314 + 1767.67i −0.0490908 + 1.24982i
\(127\) −2291.18 −1.60086 −0.800430 0.599426i \(-0.795396\pi\)
−0.800430 + 0.599426i \(0.795396\pi\)
\(128\) 1236.84 + 714.087i 0.854077 + 0.493101i
\(129\) 46.9762 + 561.045i 0.0320622 + 0.382925i
\(130\) 128.601 + 222.743i 0.0867617 + 0.150276i
\(131\) 259.146 448.855i 0.172838 0.299364i −0.766573 0.642157i \(-0.778040\pi\)
0.939411 + 0.342793i \(0.111373\pi\)
\(132\) 35.2786 74.9239i 0.0232622 0.0494037i
\(133\) 174.796 835.118i 0.113960 0.544466i
\(134\) 1471.88i 0.948888i
\(135\) −675.503 189.130i −0.430652 0.120576i
\(136\) −660.615 + 381.406i −0.416524 + 0.240480i
\(137\) −1012.79 + 584.732i −0.631593 + 0.364650i −0.781369 0.624070i \(-0.785478\pi\)
0.149776 + 0.988720i \(0.452145\pi\)
\(138\) −1736.00 + 1205.93i −1.07086 + 0.743883i
\(139\) 2599.73i 1.58638i −0.608977 0.793188i \(-0.708420\pi\)
0.608977 0.793188i \(-0.291580\pi\)
\(140\) −130.453 397.283i −0.0787521 0.239833i
\(141\) 1831.21 + 862.243i 1.09373 + 0.514992i
\(142\) 707.401 1225.25i 0.418055 0.724092i
\(143\) 25.6597 + 44.4438i 0.0150054 + 0.0259901i
\(144\) −751.385 + 2017.44i −0.434829 + 1.16750i
\(145\) −551.556 318.441i −0.315891 0.182380i
\(146\) 549.410 0.311435
\(147\) 1172.63 + 1342.19i 0.657937 + 0.753073i
\(148\) −1284.54 −0.713434
\(149\) 435.444 + 251.404i 0.239416 + 0.138227i 0.614908 0.788599i \(-0.289193\pi\)
−0.375492 + 0.926825i \(0.622526\pi\)
\(150\) 457.964 38.3452i 0.249284 0.0208725i
\(151\) −1175.38 2035.82i −0.633452 1.09717i −0.986841 0.161695i \(-0.948304\pi\)
0.353389 0.935477i \(-0.385029\pi\)
\(152\) 283.944 491.805i 0.151519 0.262439i
\(153\) −1064.40 1287.91i −0.562431 0.680529i
\(154\) −72.1434 219.706i −0.0377499 0.114964i
\(155\) 1060.74i 0.549680i
\(156\) 194.645 + 280.202i 0.0998981 + 0.143808i
\(157\) 2469.13 1425.55i 1.25515 0.724659i 0.283019 0.959114i \(-0.408664\pi\)
0.972127 + 0.234455i \(0.0753306\pi\)
\(158\) 3590.84 2073.17i 1.80805 1.04388i
\(159\) −1762.46 2537.16i −0.879072 1.26547i
\(160\) 917.322i 0.453254i
\(161\) −436.282 + 2084.41i −0.213564 + 1.02034i
\(162\) −2532.87 485.699i −1.22840 0.235556i
\(163\) −1119.63 + 1939.25i −0.538011 + 0.931863i 0.461000 + 0.887400i \(0.347491\pi\)
−0.999011 + 0.0444628i \(0.985842\pi\)
\(164\) −741.013 1283.47i −0.352826 0.611112i
\(165\) 91.3775 7.65102i 0.0431135 0.00360988i
\(166\) −13.5755 7.83779i −0.00634735 0.00366464i
\(167\) 2469.34 1.14421 0.572105 0.820181i \(-0.306127\pi\)
0.572105 + 0.820181i \(0.306127\pi\)
\(168\) 462.831 + 1092.25i 0.212549 + 0.501599i
\(169\) 1985.58 0.903767
\(170\) 947.969 + 547.310i 0.427682 + 0.246922i
\(171\) 1165.65 + 434.140i 0.521283 + 0.194149i
\(172\) −244.636 423.723i −0.108450 0.187840i
\(173\) 373.114 646.252i 0.163973 0.284009i −0.772317 0.635237i \(-0.780902\pi\)
0.936290 + 0.351228i \(0.114236\pi\)
\(174\) −2118.43 997.480i −0.922975 0.434590i
\(175\) 308.740 345.043i 0.133363 0.149045i
\(176\) 281.416i 0.120526i
\(177\) 2351.07 1633.19i 0.998401 0.693550i
\(178\) −3098.76 + 1789.07i −1.30484 + 0.753350i
\(179\) −2952.97 + 1704.90i −1.23305 + 0.711901i −0.967664 0.252242i \(-0.918832\pi\)
−0.265384 + 0.964143i \(0.585499\pi\)
\(180\) 601.122 101.374i 0.248916 0.0419778i
\(181\) 2937.61i 1.20636i −0.797607 0.603178i \(-0.793901\pi\)
0.797607 0.603178i \(-0.206099\pi\)
\(182\) 932.480 + 195.174i 0.379780 + 0.0794906i
\(183\) 1052.20 2234.65i 0.425034 0.902679i
\(184\) −708.709 + 1227.52i −0.283950 + 0.491815i
\(185\) −711.161 1231.77i −0.282625 0.489521i
\(186\) 325.394 + 3886.23i 0.128274 + 1.53200i
\(187\) 189.148 + 109.205i 0.0739673 + 0.0427050i
\(188\) −1758.97 −0.682374
\(189\) −2190.50 + 1397.49i −0.843045 + 0.537842i
\(190\) −814.907 −0.311155
\(191\) 92.6615 + 53.4982i 0.0351034 + 0.0202670i 0.517449 0.855714i \(-0.326882\pi\)
−0.482346 + 0.875981i \(0.660215\pi\)
\(192\) −4.84573 57.8735i −0.00182141 0.0217534i
\(193\) 1091.15 + 1889.93i 0.406958 + 0.704871i 0.994547 0.104288i \(-0.0332563\pi\)
−0.587590 + 0.809159i \(0.699923\pi\)
\(194\) 48.6915 84.3362i 0.0180198 0.0312113i
\(195\) −160.929 + 341.779i −0.0590994 + 0.125514i
\(196\) −1418.85 621.161i −0.517073 0.226371i
\(197\) 205.038i 0.0741541i 0.999312 + 0.0370771i \(0.0118047\pi\)
−0.999312 + 0.0370771i \(0.988195\pi\)
\(198\) 332.433 56.0622i 0.119318 0.0201221i
\(199\) −2307.14 + 1332.03i −0.821854 + 0.474498i −0.851056 0.525076i \(-0.824037\pi\)
0.0292011 + 0.999574i \(0.490704\pi\)
\(200\) 266.883 154.085i 0.0943575 0.0544773i
\(201\) 1775.51 1233.38i 0.623058 0.432814i
\(202\) 6744.29i 2.34914i
\(203\) −2241.31 + 735.962i −0.774920 + 0.254455i
\(204\) 1313.66 + 618.549i 0.450856 + 0.212290i
\(205\) 820.499 1421.15i 0.279542 0.484181i
\(206\) −3083.25 5340.34i −1.04282 1.80621i
\(207\) −2909.40 1083.59i −0.976895 0.363840i
\(208\) 1004.04 + 579.683i 0.334701 + 0.193239i
\(209\) −162.598 −0.0538141
\(210\) 1025.29 1358.85i 0.336912 0.446521i
\(211\) 3884.53 1.26740 0.633701 0.773578i \(-0.281535\pi\)
0.633701 + 0.773578i \(0.281535\pi\)
\(212\) 2324.98 + 1342.33i 0.753209 + 0.434865i
\(213\) 2070.78 173.386i 0.666139 0.0557757i
\(214\) 3175.24 + 5499.68i 1.01428 + 1.75678i
\(215\) 270.877 469.174i 0.0859241 0.148825i
\(216\) −1675.38 + 428.875i −0.527756 + 0.135098i
\(217\) 2928.00 + 2619.93i 0.915971 + 0.819598i
\(218\) 2707.65i 0.841216i
\(219\) 460.384 + 662.746i 0.142054 + 0.204494i
\(220\) −69.0117 + 39.8439i −0.0211490 + 0.0122104i
\(221\) −779.246 + 449.898i −0.237184 + 0.136938i
\(222\) −2983.35 4294.68i −0.901933 1.29838i
\(223\) 563.780i 0.169298i −0.996411 0.0846490i \(-0.973023\pi\)
0.996411 0.0846490i \(-0.0269769\pi\)
\(224\) −2532.12 2265.71i −0.755289 0.675822i
\(225\) 430.011 + 520.304i 0.127411 + 0.154164i
\(226\) 251.197 435.085i 0.0739352 0.128059i
\(227\) 437.969 + 758.584i 0.128057 + 0.221802i 0.922924 0.384982i \(-0.125793\pi\)
−0.794867 + 0.606784i \(0.792459\pi\)
\(228\) −1077.20 + 90.1934i −0.312890 + 0.0261983i
\(229\) 4417.95 + 2550.70i 1.27487 + 0.736049i 0.975901 0.218213i \(-0.0700227\pi\)
0.298973 + 0.954262i \(0.403356\pi\)
\(230\) 2033.96 0.583112
\(231\) 204.575 271.131i 0.0582687 0.0772255i
\(232\) −1570.15 −0.444332
\(233\) −5036.52 2907.84i −1.41611 0.817591i −0.420155 0.907452i \(-0.638024\pi\)
−0.995954 + 0.0898610i \(0.971358\pi\)
\(234\) −484.754 + 1301.54i −0.135425 + 0.363610i
\(235\) −973.825 1686.71i −0.270321 0.468209i
\(236\) −1243.87 + 2154.45i −0.343090 + 0.594250i
\(237\) 5509.82 + 2594.35i 1.51013 + 0.711059i
\(238\) 3852.17 1264.91i 1.04916 0.344504i
\(239\) 3786.80i 1.02489i 0.858721 + 0.512443i \(0.171259\pi\)
−0.858721 + 0.512443i \(0.828741\pi\)
\(240\) 1701.34 1181.85i 0.457587 0.317868i
\(241\) 2248.22 1298.01i 0.600915 0.346938i −0.168486 0.985704i \(-0.553888\pi\)
0.769401 + 0.638766i \(0.220555\pi\)
\(242\) 4039.72 2332.33i 1.07307 0.619538i
\(243\) −1536.55 3462.36i −0.405636 0.914035i
\(244\) 2146.49i 0.563177i
\(245\) −189.876 1704.46i −0.0495133 0.444464i
\(246\) 2570.12 5458.36i 0.666116 1.41469i
\(247\) 334.933 580.121i 0.0862805 0.149442i
\(248\) 1307.55 + 2264.74i 0.334797 + 0.579885i
\(249\) −1.92107 22.9436i −0.000488926 0.00583933i
\(250\) −382.972 221.109i −0.0968851 0.0559366i
\(251\) 4377.60 1.10084 0.550422 0.834887i \(-0.314467\pi\)
0.550422 + 0.834887i \(0.314467\pi\)
\(252\) 1204.89 1909.69i 0.301195 0.477377i
\(253\) 405.837 0.100849
\(254\) 7019.66 + 4052.80i 1.73407 + 1.00116i
\(255\) 134.147 + 1602.15i 0.0329437 + 0.393452i
\(256\) −2570.96 4453.04i −0.627677 1.08717i
\(257\) 283.243 490.592i 0.0687480 0.119075i −0.829602 0.558355i \(-0.811433\pi\)
0.898350 + 0.439280i \(0.144766\pi\)
\(258\) 848.492 1802.01i 0.204747 0.434838i
\(259\) −5156.61 1079.31i −1.23713 0.258939i
\(260\) 328.295i 0.0783077i
\(261\) −571.912 3391.28i −0.135634 0.804271i
\(262\) −1587.93 + 916.794i −0.374438 + 0.216182i
\(263\) 1051.70 607.199i 0.246580 0.142363i −0.371617 0.928386i \(-0.621197\pi\)
0.618197 + 0.786023i \(0.287863\pi\)
\(264\) 185.666 128.975i 0.0432838 0.0300676i
\(265\) 2972.63i 0.689083i
\(266\) −2012.75 + 2249.42i −0.463946 + 0.518500i
\(267\) −4754.76 2238.82i −1.08984 0.513159i
\(268\) −939.364 + 1627.03i −0.214107 + 0.370845i
\(269\) 454.101 + 786.526i 0.102926 + 0.178273i 0.912889 0.408208i \(-0.133846\pi\)
−0.809963 + 0.586481i \(0.800513\pi\)
\(270\) 1735.04 + 1774.33i 0.391079 + 0.399935i
\(271\) −3758.84 2170.17i −0.842558 0.486451i 0.0155746 0.999879i \(-0.495042\pi\)
−0.858133 + 0.513427i \(0.828376\pi\)
\(272\) 4934.14 1.09991
\(273\) 545.945 + 1288.39i 0.121033 + 0.285629i
\(274\) 4137.27 0.912195
\(275\) −76.4143 44.1178i −0.0167562 0.00967420i
\(276\) 2688.62 225.118i 0.586363 0.0490961i
\(277\) −3194.05 5532.26i −0.692823 1.20001i −0.970909 0.239449i \(-0.923033\pi\)
0.278086 0.960556i \(-0.410300\pi\)
\(278\) −4598.59 + 7964.99i −0.992105 + 1.71838i
\(279\) −4415.24 + 3649.03i −0.947433 + 0.783016i
\(280\) 233.852 1117.27i 0.0499118 0.238463i
\(281\) 3345.41i 0.710216i 0.934825 + 0.355108i \(0.115556\pi\)
−0.934825 + 0.355108i \(0.884444\pi\)
\(282\) −4085.23 5880.90i −0.862667 1.24185i
\(283\) 949.320 548.090i 0.199404 0.115126i −0.396974 0.917830i \(-0.629940\pi\)
0.596377 + 0.802704i \(0.296606\pi\)
\(284\) −1563.93 + 902.937i −0.326769 + 0.188660i
\(285\) −682.859 983.010i −0.141927 0.204311i
\(286\) 181.555i 0.0375369i
\(287\) −1896.29 5774.97i −0.390015 1.18776i
\(288\) 3818.29 3155.66i 0.781232 0.645657i
\(289\) 541.785 938.399i 0.110276 0.191003i
\(290\) 1126.56 + 1951.26i 0.228117 + 0.395111i
\(291\) 142.535 11.9344i 0.0287132 0.00240415i
\(292\) −607.322 350.638i −0.121715 0.0702723i
\(293\) −4350.28 −0.867392 −0.433696 0.901059i \(-0.642791\pi\)
−0.433696 + 0.901059i \(0.642791\pi\)
\(294\) −1218.51 6186.39i −0.241718 1.22720i
\(295\) −2754.60 −0.543657
\(296\) −3036.75 1753.27i −0.596310 0.344280i
\(297\) 346.193 + 354.032i 0.0676369 + 0.0691684i
\(298\) −889.402 1540.49i −0.172891 0.299457i
\(299\) −835.976 + 1447.95i −0.161691 + 0.280058i
\(300\) −530.709 249.889i −0.102135 0.0480911i
\(301\) −626.036 1906.54i −0.119881 0.365086i
\(302\) 8316.40i 1.58462i
\(303\) −8135.54 + 5651.44i −1.54249 + 1.07151i
\(304\) −3181.17 + 1836.65i −0.600172 + 0.346510i
\(305\) −2058.32 + 1188.37i −0.386422 + 0.223101i
\(306\) 982.954 + 5828.65i 0.183633 + 1.08889i
\(307\) 5750.86i 1.06912i 0.845132 + 0.534558i \(0.179522\pi\)
−0.845132 + 0.534558i \(0.820478\pi\)
\(308\) −60.4703 + 288.907i −0.0111871 + 0.0534482i
\(309\) 3858.34 8194.27i 0.710335 1.50859i
\(310\) 1876.31 3249.86i 0.343765 0.595418i
\(311\) 2750.86 + 4764.63i 0.501565 + 0.868737i 0.999998 + 0.00180853i \(0.000575673\pi\)
−0.498433 + 0.866928i \(0.666091\pi\)
\(312\) 77.7092 + 928.095i 0.0141007 + 0.168407i
\(313\) 623.841 + 360.175i 0.112657 + 0.0650424i 0.555270 0.831670i \(-0.312615\pi\)
−0.442613 + 0.896713i \(0.645948\pi\)
\(314\) −10086.5 −1.81278
\(315\) 2498.31 + 98.1295i 0.446869 + 0.0175523i
\(316\) −5292.46 −0.942164
\(317\) −106.684 61.5942i −0.0189022 0.0109132i 0.490519 0.871430i \(-0.336807\pi\)
−0.509421 + 0.860517i \(0.670141\pi\)
\(318\) 911.889 + 10890.8i 0.160806 + 1.92053i
\(319\) 224.783 + 389.335i 0.0394528 + 0.0683342i
\(320\) −27.9418 + 48.3966i −0.00488123 + 0.00845454i
\(321\) −3973.47 + 8438.77i −0.690895 + 1.46731i
\(322\) 5023.73 5614.44i 0.869445 0.971679i
\(323\) 2850.88i 0.491105i
\(324\) 2489.87 + 2153.39i 0.426933 + 0.369237i
\(325\) 314.809 181.755i 0.0537307 0.0310214i
\(326\) 6860.56 3960.95i 1.16556 0.672935i
\(327\) −3266.20 + 2268.90i −0.552358 + 0.383702i
\(328\) 4045.65i 0.681048i
\(329\) −7061.18 1477.95i −1.18327 0.247666i
\(330\) −293.494 138.194i −0.0489585 0.0230525i
\(331\) −4816.06 + 8341.66i −0.799742 + 1.38519i 0.120042 + 0.992769i \(0.461697\pi\)
−0.919784 + 0.392425i \(0.871636\pi\)
\(332\) 10.0043 + 17.3279i 0.00165378 + 0.00286443i
\(333\) 2680.69 7197.54i 0.441144 1.18445i
\(334\) −7565.49 4367.94i −1.23942 0.715578i
\(335\) −2080.25 −0.339272
\(336\) 939.843 7615.37i 0.152597 1.23647i
\(337\) 4977.75 0.804615 0.402308 0.915505i \(-0.368208\pi\)
0.402308 + 0.915505i \(0.368208\pi\)
\(338\) −6083.36 3512.23i −0.978968 0.565207i
\(339\) 735.330 61.5691i 0.117810 0.00986422i
\(340\) −698.595 1210.00i −0.111431 0.193005i
\(341\) 374.379 648.444i 0.0594539 0.102977i
\(342\) −2803.35 3391.99i −0.443239 0.536309i
\(343\) −5173.87 3685.74i −0.814468 0.580208i
\(344\) 1335.62i 0.209337i
\(345\) 1704.38 + 2453.54i 0.265973 + 0.382882i
\(346\) −2286.27 + 1319.98i −0.355234 + 0.205094i
\(347\) 5974.28 3449.25i 0.924254 0.533618i 0.0392645 0.999229i \(-0.487499\pi\)
0.884990 + 0.465610i \(0.154165\pi\)
\(348\) 1705.13 + 2454.62i 0.262656 + 0.378107i
\(349\) 5143.79i 0.788942i −0.918908 0.394471i \(-0.870928\pi\)
0.918908 0.394471i \(-0.129072\pi\)
\(350\) −1556.25 + 511.014i −0.237671 + 0.0780424i
\(351\) −1976.24 + 505.890i −0.300524 + 0.0769300i
\(352\) −323.762 + 560.772i −0.0490244 + 0.0849127i
\(353\) −2903.48 5028.97i −0.437781 0.758258i 0.559737 0.828670i \(-0.310902\pi\)
−0.997518 + 0.0704119i \(0.977569\pi\)
\(354\) −10092.1 + 845.006i −1.51522 + 0.126869i
\(355\) −1731.69 999.791i −0.258897 0.149474i
\(356\) 4567.18 0.679944
\(357\) 4753.81 + 3586.87i 0.704757 + 0.531758i
\(358\) 12063.0 1.78086
\(359\) 6501.82 + 3753.83i 0.955857 + 0.551864i 0.894896 0.446276i \(-0.147250\pi\)
0.0609616 + 0.998140i \(0.480583\pi\)
\(360\) 1559.47 + 580.817i 0.228309 + 0.0850326i
\(361\) −2368.31 4102.03i −0.345285 0.598051i
\(362\) −5196.25 + 9000.16i −0.754444 + 1.30674i
\(363\) 6198.59 + 2918.66i 0.896257 + 0.422010i
\(364\) −906.208 810.863i −0.130490 0.116760i
\(365\) 776.498i 0.111353i
\(366\) −7176.53 + 4985.25i −1.02493 + 0.711977i
\(367\) 8497.92 4906.28i 1.20869 0.697835i 0.246214 0.969215i \(-0.420813\pi\)
0.962472 + 0.271380i \(0.0874800\pi\)
\(368\) 7940.03 4584.18i 1.12474 0.649366i
\(369\) 8738.00 1473.59i 1.23274 0.207892i
\(370\) 5031.81i 0.707004i
\(371\) 8205.48 + 7342.14i 1.14827 + 1.02745i
\(372\) 2120.53 4503.54i 0.295549 0.627682i
\(373\) −2300.91 + 3985.29i −0.319401 + 0.553219i −0.980363 0.197200i \(-0.936815\pi\)
0.660962 + 0.750419i \(0.270148\pi\)
\(374\) −386.338 669.157i −0.0534146 0.0925169i
\(375\) −54.1945 647.254i −0.00746291 0.0891308i
\(376\) −4158.36 2400.83i −0.570349 0.329291i
\(377\) −1852.11 −0.253019
\(378\) 9183.18 406.868i 1.24956 0.0553625i
\(379\) 10325.6 1.39945 0.699726 0.714412i \(-0.253306\pi\)
0.699726 + 0.714412i \(0.253306\pi\)
\(380\) 900.804 + 520.079i 0.121606 + 0.0702092i
\(381\) 993.354 + 11863.8i 0.133572 + 1.59528i
\(382\) −189.263 327.813i −0.0253495 0.0439067i
\(383\) −1615.63 + 2798.35i −0.215548 + 0.373339i −0.953442 0.301577i \(-0.902487\pi\)
0.737894 + 0.674916i \(0.235820\pi\)
\(384\) 3161.33 6713.97i 0.420120 0.892242i
\(385\) −310.518 + 101.963i −0.0411050 + 0.0134974i
\(386\) 7720.43i 1.01803i
\(387\) 2884.74 486.489i 0.378914 0.0639008i
\(388\) −107.648 + 62.1506i −0.0140850 + 0.00813200i
\(389\) 10881.5 6282.46i 1.41829 0.818851i 0.422143 0.906529i \(-0.361278\pi\)
0.996149 + 0.0876781i \(0.0279447\pi\)
\(390\) 1097.61 762.470i 0.142512 0.0989978i
\(391\) 7115.64i 0.920342i
\(392\) −2506.45 3405.07i −0.322946 0.438730i
\(393\) −2436.54 1147.27i −0.312741 0.147257i
\(394\) 362.686 628.191i 0.0463753 0.0803244i
\(395\) −2930.08 5075.04i −0.373236 0.646464i
\(396\) −403.254 150.190i −0.0511724 0.0190589i
\(397\) 1052.09 + 607.424i 0.133005 + 0.0767903i 0.565026 0.825073i \(-0.308866\pi\)
−0.432021 + 0.901863i \(0.642199\pi\)
\(398\) 9424.76 1.18699
\(399\) −4400.05 543.029i −0.552076 0.0681339i
\(400\) −1993.35 −0.249169
\(401\) 7615.66 + 4396.91i 0.948399 + 0.547559i 0.892583 0.450882i \(-0.148891\pi\)
0.0558160 + 0.998441i \(0.482224\pi\)
\(402\) −7621.44 + 638.142i −0.945579 + 0.0791731i
\(403\) 1542.36 + 2671.44i 0.190646 + 0.330208i
\(404\) 4304.25 7455.19i 0.530061 0.918093i
\(405\) −686.454 + 3579.78i −0.0842226 + 0.439211i
\(406\) 8168.68 + 1709.76i 0.998534 + 0.209000i
\(407\) 1004.00i 0.122276i
\(408\) 2261.35 + 3255.33i 0.274396 + 0.395007i
\(409\) 4831.45 2789.44i 0.584107 0.337234i −0.178657 0.983911i \(-0.557175\pi\)
0.762764 + 0.646677i \(0.223842\pi\)
\(410\) −5027.65 + 2902.71i −0.605604 + 0.349646i
\(411\) 3466.86 + 4990.73i 0.416077 + 0.598965i
\(412\) 7871.00i 0.941205i
\(413\) −6803.63 + 7603.64i −0.810617 + 0.905934i
\(414\) 6997.01 + 8466.23i 0.830639 + 1.00505i
\(415\) −11.0774 + 19.1866i −0.00131028 + 0.00226948i
\(416\) −1333.82 2310.25i −0.157202 0.272282i
\(417\) −13461.5 + 1127.13i −1.58084 + 0.132364i
\(418\) 498.164 + 287.615i 0.0582919 + 0.0336548i
\(419\) 5449.56 0.635390 0.317695 0.948193i \(-0.397091\pi\)
0.317695 + 0.948193i \(0.397091\pi\)
\(420\) −2000.59 + 847.735i −0.232425 + 0.0984886i
\(421\) 2759.33 0.319433 0.159717 0.987163i \(-0.448942\pi\)
0.159717 + 0.987163i \(0.448942\pi\)
\(422\) −11901.3 6871.23i −1.37286 0.792621i
\(423\) 3670.79 9855.92i 0.421938 1.13289i
\(424\) 3664.30 + 6346.76i 0.419703 + 0.726948i
\(425\) 773.530 1339.79i 0.0882864 0.152916i
\(426\) −6651.10 3131.73i −0.756449 0.356180i
\(427\) −1803.56 + 8616.84i −0.204404 + 0.976576i
\(428\) 8105.86i 0.915447i
\(429\) 219.007 152.135i 0.0246474 0.0171216i
\(430\) −1659.82 + 958.295i −0.186147 + 0.107472i
\(431\) −3948.36 + 2279.59i −0.441267 + 0.254766i −0.704135 0.710066i \(-0.748665\pi\)
0.262868 + 0.964832i \(0.415332\pi\)
\(432\) 10772.1 + 3016.03i 1.19971 + 0.335899i
\(433\) 7442.63i 0.826027i 0.910725 + 0.413014i \(0.135524\pi\)
−0.910725 + 0.413014i \(0.864476\pi\)
\(434\) −4336.41 13206.1i −0.479618 1.46063i
\(435\) −1409.77 + 2994.04i −0.155387 + 0.330007i
\(436\) 1728.04 2993.05i 0.189812 0.328764i
\(437\) −2648.67 4587.64i −0.289939 0.502189i
\(438\) −238.200 2844.87i −0.0259855 0.310349i
\(439\) −5233.12 3021.35i −0.568937 0.328476i 0.187788 0.982210i \(-0.439868\pi\)
−0.756725 + 0.653734i \(0.773202\pi\)
\(440\) −217.533 −0.0235693
\(441\) 6441.49 6653.82i 0.695550 0.718478i
\(442\) 3183.24 0.342560
\(443\) 3456.00 + 1995.32i 0.370653 + 0.213997i 0.673744 0.738965i \(-0.264685\pi\)
−0.303091 + 0.952962i \(0.598018\pi\)
\(444\) 556.918 + 6651.37i 0.0595274 + 0.710946i
\(445\) 2528.54 + 4379.56i 0.269358 + 0.466542i
\(446\) −997.254 + 1727.29i −0.105877 + 0.183385i
\(447\) 1112.99 2363.74i 0.117768 0.250114i
\(448\) 64.5774 + 196.665i 0.00681026 + 0.0207400i
\(449\) 897.052i 0.0942862i 0.998888 + 0.0471431i \(0.0150117\pi\)
−0.998888 + 0.0471431i \(0.984988\pi\)
\(450\) −397.106 2354.73i −0.0415994 0.246673i
\(451\) −1003.17 + 579.178i −0.104739 + 0.0604710i
\(452\) −555.349 + 320.631i −0.0577908 + 0.0333655i
\(453\) −10032.0 + 6968.81i −1.04049 + 0.722789i
\(454\) 3098.84i 0.320343i
\(455\) 275.846 1317.90i 0.0284216 0.135789i
\(456\) −2669.69 1257.05i −0.274166 0.129093i
\(457\) 1123.05 1945.18i 0.114954 0.199106i −0.802807 0.596239i \(-0.796661\pi\)
0.917761 + 0.397132i \(0.129995\pi\)
\(458\) −9023.73 15629.6i −0.920636 1.59459i
\(459\) −6207.34 + 6069.90i −0.631228 + 0.617252i
\(460\) −2248.36 1298.09i −0.227892 0.131574i
\(461\) 6503.45 0.657041 0.328520 0.944497i \(-0.393450\pi\)
0.328520 + 0.944497i \(0.393450\pi\)
\(462\) −1106.37 + 468.816i −0.111413 + 0.0472106i
\(463\) −12869.8 −1.29181 −0.645906 0.763417i \(-0.723520\pi\)
−0.645906 + 0.763417i \(0.723520\pi\)
\(464\) 8795.57 + 5078.13i 0.880009 + 0.508073i
\(465\) 5492.53 459.889i 0.547764 0.0458641i
\(466\) 10287.2 + 17817.9i 1.02263 + 1.77124i
\(467\) 14.4148 24.9672i 0.00142835 0.00247397i −0.865310 0.501236i \(-0.832879\pi\)
0.866739 + 0.498763i \(0.166212\pi\)
\(468\) 1366.51 1129.36i 0.134972 0.111549i
\(469\) −5138.05 + 5742.21i −0.505870 + 0.565353i
\(470\) 6890.28i 0.676224i
\(471\) −8452.06 12167.2i −0.826859 1.19031i
\(472\) −5881.25 + 3395.54i −0.573531 + 0.331128i
\(473\) −331.183 + 191.208i −0.0321941 + 0.0185873i
\(474\) −12291.8 17694.7i −1.19110 1.71465i
\(475\) 1151.73i 0.111253i
\(476\) −5065.49 1060.24i −0.487766 0.102093i
\(477\) −12373.3 + 10226.1i −1.18771 + 0.981594i
\(478\) 6698.36 11601.9i 0.640954 1.11016i
\(479\) 4994.02 + 8649.90i 0.476373 + 0.825102i 0.999634 0.0270705i \(-0.00861785\pi\)
−0.523260 + 0.852173i \(0.675285\pi\)
\(480\) −4749.92 + 397.710i −0.451674 + 0.0378185i
\(481\) −3582.08 2068.11i −0.339561 0.196046i
\(482\) −9184.05 −0.867888
\(483\) 10982.3 + 1355.37i 1.03460 + 0.127684i
\(484\) −5954.05 −0.559171
\(485\) −119.195 68.8172i −0.0111595 0.00644294i
\(486\) −1416.83 + 13325.8i −0.132240 + 1.24377i
\(487\) 2079.06 + 3601.04i 0.193452 + 0.335069i 0.946392 0.323020i \(-0.104698\pi\)
−0.752940 + 0.658089i \(0.771365\pi\)
\(488\) −2929.76 + 5074.50i −0.271771 + 0.470721i
\(489\) 10526.9 + 4956.69i 0.973504 + 0.458383i
\(490\) −2433.23 + 5557.94i −0.224331 + 0.512412i
\(491\) 4981.52i 0.457867i −0.973442 0.228934i \(-0.926476\pi\)
0.973442 0.228934i \(-0.0735238\pi\)
\(492\) −6324.59 + 4393.45i −0.579542 + 0.402585i
\(493\) −6826.32 + 3941.18i −0.623615 + 0.360044i
\(494\) −2052.32 + 1184.91i −0.186920 + 0.107918i
\(495\) −79.2345 469.838i −0.00719459 0.0426619i
\(496\) 16915.4i 1.53130i
\(497\) −7036.90 + 2310.66i −0.635107 + 0.208546i
\(498\) −34.6986 + 73.6923i −0.00312225 + 0.00663098i
\(499\) 4098.39 7098.62i 0.367674 0.636830i −0.621528 0.783392i \(-0.713488\pi\)
0.989201 + 0.146563i \(0.0468210\pi\)
\(500\) 282.227 + 488.831i 0.0252431 + 0.0437224i
\(501\) −1070.60 12786.3i −0.0954704 1.14022i
\(502\) −13412.0 7743.41i −1.19244 0.688457i
\(503\) 2582.86 0.228954 0.114477 0.993426i \(-0.463481\pi\)
0.114477 + 0.993426i \(0.463481\pi\)
\(504\) 5455.02 2870.11i 0.482115 0.253660i
\(505\) 9531.91 0.839929
\(506\) −1243.39 717.873i −0.109240 0.0630699i
\(507\) −860.858 10281.4i −0.0754084 0.900616i
\(508\) −5173.06 8960.00i −0.451806 0.782550i
\(509\) 10831.6 18760.8i 0.943224 1.63371i 0.183955 0.982935i \(-0.441110\pi\)
0.759269 0.650777i \(-0.225557\pi\)
\(510\) 2422.99 5145.90i 0.210376 0.446793i
\(511\) −2143.40 1917.89i −0.185555 0.166032i
\(512\) 6765.43i 0.583970i
\(513\) 1742.62 6223.99i 0.149978 0.535665i
\(514\) −1735.59 + 1002.04i −0.148937 + 0.0859886i
\(515\) −7547.67 + 4357.65i −0.645806 + 0.372856i
\(516\) −2087.99 + 1450.44i −0.178137 + 0.123745i
\(517\) 1374.82i 0.116952i
\(518\) 13889.5 + 12428.2i 1.17813 + 1.05417i
\(519\) −3508.08 1651.81i −0.296701 0.139704i
\(520\) 448.092 776.119i 0.0377888 0.0654520i
\(521\) −9770.62 16923.2i −0.821610 1.42307i −0.904483 0.426510i \(-0.859743\pi\)
0.0828730 0.996560i \(-0.473590\pi\)
\(522\) −4246.53 + 11401.8i −0.356064 + 0.956018i
\(523\) 13158.2 + 7596.91i 1.10013 + 0.635162i 0.936256 0.351319i \(-0.114267\pi\)
0.163877 + 0.986481i \(0.447600\pi\)
\(524\) 2340.42 0.195118
\(525\) −1920.50 1449.07i −0.159652 0.120462i
\(526\) −4296.23 −0.356130
\(527\) 11369.3 + 6564.09i 0.939766 + 0.542574i
\(528\) −1457.18 + 122.009i −0.120105 + 0.0100564i
\(529\) 527.456 + 913.580i 0.0433513 + 0.0750867i
\(530\) 5258.20 9107.46i 0.430946 0.746421i
\(531\) −9476.05 11465.8i −0.774436 0.937051i
\(532\) 3660.51 1201.98i 0.298314 0.0979554i
\(533\) 4772.15i 0.387814i
\(534\) 10607.3 + 15269.8i 0.859596 + 1.23743i
\(535\) 7772.87 4487.67i 0.628132 0.362652i
\(536\) −4441.48 + 2564.29i −0.357915 + 0.206642i
\(537\) 10108.3 + 14551.4i 0.812301 + 1.16935i
\(538\) 3212.99i 0.257475i
\(539\) −485.501 + 1108.97i −0.0387978 + 0.0886214i
\(540\) −785.539 3068.68i −0.0626004 0.244546i
\(541\) 7087.52 12276.0i 0.563247 0.975572i −0.433964 0.900930i \(-0.642885\pi\)
0.997210 0.0746416i \(-0.0237813\pi\)
\(542\) 7677.50 + 13297.8i 0.608444 + 1.05386i
\(543\) −15211.0 + 1273.62i −1.20215 + 0.100656i
\(544\) −9832.17 5676.61i −0.774910 0.447394i
\(545\) 3826.80 0.300775
\(546\) 606.337 4913.03i 0.0475253 0.385088i
\(547\) −3915.65 −0.306072 −0.153036 0.988221i \(-0.548905\pi\)
−0.153036 + 0.988221i \(0.548905\pi\)
\(548\) −4573.37 2640.43i −0.356505 0.205828i
\(549\) −12027.3 4479.50i −0.934995 0.348234i
\(550\) 156.078 + 270.334i 0.0121003 + 0.0209584i
\(551\) 2934.07 5081.96i 0.226852 0.392920i
\(552\) 6663.41 + 3137.52i 0.513792 + 0.241923i
\(553\) −21245.9 4446.92i −1.63376 0.341957i
\(554\) 22599.5i 1.73314i
\(555\) −6069.80 + 4216.46i −0.464232 + 0.322484i
\(556\) 10166.6 5869.71i 0.775470 0.447718i
\(557\) 9426.69 5442.50i 0.717094 0.414015i −0.0965880 0.995324i \(-0.530793\pi\)
0.813682 + 0.581310i \(0.197460\pi\)
\(558\) 19982.0 3369.80i 1.51596 0.255654i
\(559\) 1575.47i 0.119204i
\(560\) −4923.42 + 5502.34i −0.371522 + 0.415208i
\(561\) 483.459 1026.76i 0.0363844 0.0772725i
\(562\) 5917.61 10249.6i 0.444162 0.769311i
\(563\) −1235.82 2140.51i −0.0925111 0.160234i 0.816056 0.577973i \(-0.196156\pi\)
−0.908567 + 0.417739i \(0.862823\pi\)
\(564\) 762.613 + 9108.02i 0.0569358 + 0.679994i
\(565\) −614.919 355.024i −0.0457873 0.0264353i
\(566\) −3878.00 −0.287994
\(567\) 8185.94 + 10736.6i 0.606309 + 0.795229i
\(568\) −4929.70 −0.364165
\(569\) 5773.89 + 3333.56i 0.425403 + 0.245606i 0.697386 0.716696i \(-0.254346\pi\)
−0.271984 + 0.962302i \(0.587680\pi\)
\(570\) 353.307 + 4219.61i 0.0259621 + 0.310070i
\(571\) 1897.30 + 3286.22i 0.139053 + 0.240848i 0.927139 0.374719i \(-0.122261\pi\)
−0.788085 + 0.615566i \(0.788927\pi\)
\(572\) −115.869 + 200.692i −0.00846983 + 0.0146702i
\(573\) 236.841 502.999i 0.0172673 0.0366720i
\(574\) −4405.39 + 21047.5i −0.320344 + 1.53050i
\(575\) 2874.66i 0.208490i
\(576\) −297.570 + 50.1827i −0.0215256 + 0.00363012i
\(577\) −20022.1 + 11559.8i −1.44459 + 0.834037i −0.998151 0.0607751i \(-0.980643\pi\)
−0.446443 + 0.894812i \(0.647309\pi\)
\(578\) −3319.81 + 1916.70i −0.238903 + 0.137931i
\(579\) 9313.05 6469.41i 0.668458 0.464351i
\(580\) 2875.92i 0.205890i
\(581\) 25.6014 + 77.9667i 0.00182810 + 0.00556731i
\(582\) −457.806 215.562i −0.0326060 0.0153528i
\(583\) 1049.17 1817.21i 0.0745318 0.129093i
\(584\) −957.175 1657.88i −0.0678223 0.117472i
\(585\) 1839.51 + 685.117i 0.130008 + 0.0484207i
\(586\) 13328.3 + 7695.08i 0.939567 + 0.542459i
\(587\) −16772.1 −1.17932 −0.589659 0.807653i \(-0.700738\pi\)
−0.589659 + 0.807653i \(0.700738\pi\)
\(588\) −2601.24 + 7616.14i −0.182438 + 0.534157i
\(589\) −9773.48 −0.683717
\(590\) 8439.47 + 4872.53i 0.588894 + 0.339998i
\(591\) 1061.69 88.8955i 0.0738956 0.00618726i
\(592\) 11340.8 + 19642.8i 0.787335 + 1.36370i
\(593\) −2564.12 + 4441.19i −0.177565 + 0.307551i −0.941046 0.338279i \(-0.890155\pi\)
0.763481 + 0.645830i \(0.223489\pi\)
\(594\) −434.421 1697.05i −0.0300076 0.117223i
\(595\) −1787.74 5444.39i −0.123177 0.375123i
\(596\) 2270.49i 0.156045i
\(597\) 7897.57 + 11369.0i 0.541417 + 0.779398i
\(598\) 5122.49 2957.47i 0.350291 0.202241i
\(599\) −18075.2 + 10435.7i −1.23294 + 0.711839i −0.967642 0.252327i \(-0.918804\pi\)
−0.265300 + 0.964166i \(0.585471\pi\)
\(600\) −913.567 1315.13i −0.0621604 0.0894830i
\(601\) 5784.11i 0.392577i −0.980546 0.196288i \(-0.937111\pi\)
0.980546 0.196288i \(-0.0628889\pi\)
\(602\) −1454.38 + 6948.57i −0.0984655 + 0.470436i
\(603\) −7156.24 8658.90i −0.483291 0.584772i
\(604\) 5307.59 9193.01i 0.357554 0.619302i
\(605\) −3296.36 5709.46i −0.221514 0.383674i
\(606\) 34922.1 2924.03i 2.34095 0.196007i
\(607\) −16931.6 9775.46i −1.13218 0.653664i −0.187697 0.982227i \(-0.560102\pi\)
−0.944482 + 0.328563i \(0.893436\pi\)
\(608\) 8452.07 0.563778
\(609\) 4782.57 + 11286.5i 0.318226 + 0.750987i
\(610\) 8408.29 0.558101
\(611\) −4905.10 2831.96i −0.324778 0.187511i
\(612\) 2633.32 7070.36i 0.173931 0.466997i
\(613\) −1564.33 2709.50i −0.103071 0.178525i 0.809877 0.586599i \(-0.199534\pi\)
−0.912949 + 0.408075i \(0.866200\pi\)
\(614\) 10172.5 17619.3i 0.668615 1.15808i
\(615\) −7714.47 3632.42i −0.505817 0.238168i
\(616\) −537.289 + 600.466i −0.0351428 + 0.0392751i
\(617\) 19251.3i 1.25613i −0.778163 0.628063i \(-0.783848\pi\)
0.778163 0.628063i \(-0.216152\pi\)
\(618\) −26315.7 + 18280.5i −1.71290 + 1.18989i
\(619\) 22828.6 13180.1i 1.48232 0.855820i 0.482525 0.875882i \(-0.339720\pi\)
0.999799 + 0.0200617i \(0.00638628\pi\)
\(620\) −4148.17 + 2394.95i −0.268701 + 0.155134i
\(621\) −4349.48 + 15534.8i −0.281061 + 1.00385i
\(622\) 19463.7i 1.25470i
\(623\) 18334.4 + 3837.51i 1.17906 + 0.246785i
\(624\) 2566.31 5450.28i 0.164639 0.349657i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) −1274.21 2206.99i −0.0813538 0.140909i
\(627\) 70.4954 + 841.939i 0.00449013 + 0.0536265i
\(628\) 11149.7 + 6437.26i 0.708472 + 0.409036i
\(629\) −17603.3 −1.11588
\(630\) −7480.68 4719.83i −0.473075 0.298480i
\(631\) 18010.0 1.13624 0.568118 0.822947i \(-0.307672\pi\)
0.568118 + 0.822947i \(0.307672\pi\)
\(632\) −12511.8 7223.71i −0.787490 0.454658i
\(633\) −1684.16 20114.2i −0.105749 1.26298i
\(634\) 217.904 + 377.422i 0.0136500 + 0.0236425i
\(635\) 5727.95 9921.10i 0.357963 0.620011i
\(636\) 5942.61 12620.8i 0.370503 0.786867i
\(637\) −2956.55 4016.54i −0.183897 0.249829i
\(638\) 1590.45i 0.0986935i
\(639\) −1795.60 10647.4i −0.111162 0.659162i
\(640\) −6184.18 + 3570.44i −0.381955 + 0.220522i
\(641\) −14086.0 + 8132.54i −0.867961 + 0.501117i −0.866670 0.498882i \(-0.833744\pi\)
−0.00129064 + 0.999999i \(0.500411\pi\)
\(642\) 27100.9 18825.9i 1.66602 1.15732i
\(643\) 3133.59i 0.192188i 0.995372 + 0.0960939i \(0.0306349\pi\)
−0.995372 + 0.0960939i \(0.969365\pi\)
\(644\) −9136.44 + 3000.07i −0.559047 + 0.183570i
\(645\) −2546.84 1199.20i −0.155475 0.0732069i
\(646\) −5042.84 + 8734.45i −0.307133 + 0.531970i
\(647\) −150.407 260.513i −0.00913928 0.0158297i 0.861420 0.507894i \(-0.169576\pi\)
−0.870559 + 0.492064i \(0.836242\pi\)
\(648\) 2947.10 + 8489.24i 0.178662 + 0.514644i
\(649\) 1683.93 + 972.215i 0.101849 + 0.0588025i
\(650\) −1286.01 −0.0776020
\(651\) 12296.7 16297.2i 0.740313 0.981162i
\(652\) −10111.6 −0.607365
\(653\) 4968.97 + 2868.83i 0.297780 + 0.171924i 0.641445 0.767169i \(-0.278335\pi\)
−0.343665 + 0.939092i \(0.611668\pi\)
\(654\) 14020.3 1173.92i 0.838282 0.0701892i
\(655\) 1295.73 + 2244.27i 0.0772954 + 0.133879i
\(656\) −13084.3 + 22662.8i −0.778747 + 1.34883i
\(657\) 3232.12 2671.22i 0.191928 0.158621i
\(658\) 19019.6 + 17018.4i 1.12684 + 1.00828i
\(659\) 12643.0i 0.747346i 0.927561 + 0.373673i \(0.121902\pi\)
−0.927561 + 0.373673i \(0.878098\pi\)
\(660\) 236.234 + 340.070i 0.0139324 + 0.0200564i
\(661\) −13547.8 + 7821.85i −0.797201 + 0.460264i −0.842491 0.538710i \(-0.818912\pi\)
0.0452905 + 0.998974i \(0.485579\pi\)
\(662\) 29510.7 17038.0i 1.73257 1.00030i
\(663\) 2667.43 + 3839.90i 0.156251 + 0.224931i
\(664\) 54.6196i 0.00319224i
\(665\) 3179.18 + 2844.68i 0.185388 + 0.165883i
\(666\) −20944.6 + 17309.9i −1.21860 + 1.00712i
\(667\) −7323.29 + 12684.3i −0.425126 + 0.736340i
\(668\) 5575.30 + 9656.71i 0.322927 + 0.559325i
\(669\) −2919.27 + 244.430i −0.168708 + 0.0141259i
\(670\) 6373.42 + 3679.70i 0.367503 + 0.212178i
\(671\) 1677.71 0.0965233
\(672\) −10634.1 + 14093.7i −0.610445 + 0.809044i
\(673\) −11596.1 −0.664188 −0.332094 0.943246i \(-0.607755\pi\)
−0.332094 + 0.943246i \(0.607755\pi\)
\(674\) −15250.7 8805.00i −0.871566 0.503199i
\(675\) 2507.72 2452.19i 0.142996 0.139829i
\(676\) 4483.06 + 7764.89i 0.255067 + 0.441789i
\(677\) −16444.2 + 28482.1i −0.933532 + 1.61692i −0.156300 + 0.987710i \(0.549957\pi\)
−0.777231 + 0.629215i \(0.783377\pi\)
\(678\) −2361.79 1112.07i −0.133782 0.0629924i
\(679\) −484.361 + 159.046i −0.0273756 + 0.00898915i
\(680\) 3814.06i 0.215092i
\(681\) 3738.09 2596.71i 0.210344 0.146117i
\(682\) −2294.03 + 1324.46i −0.128802 + 0.0743638i
\(683\) 17140.8 9896.23i 0.960283 0.554420i 0.0640229 0.997948i \(-0.479607\pi\)
0.896260 + 0.443529i \(0.146274\pi\)
\(684\) 934.048 + 5538.65i 0.0522138 + 0.309613i
\(685\) 5847.32i 0.326153i
\(686\) 9331.96 + 20444.2i 0.519382 + 1.13785i
\(687\) 11292.2 23982.1i 0.627109 1.33184i
\(688\) −4319.64 + 7481.83i −0.239367 + 0.414596i
\(689\) 4322.32 + 7486.48i 0.238995 + 0.413951i
\(690\) −881.837 10531.9i −0.0486536 0.581078i
\(691\) 19063.9 + 11006.5i 1.04953 + 0.605945i 0.922517 0.385956i \(-0.126128\pi\)
0.127010 + 0.991901i \(0.459462\pi\)
\(692\) 3369.69 0.185110
\(693\) −1492.62 941.748i −0.0818180 0.0516220i
\(694\) −24405.1 −1.33488
\(695\) 11257.2 + 6499.33i 0.614401 + 0.354725i
\(696\) 680.746 + 8130.27i 0.0370741 + 0.442783i
\(697\) −10154.9 17588.8i −0.551856 0.955843i
\(698\) −9098.70 + 15759.4i −0.493397 + 0.854588i
\(699\) −12873.3 + 27340.0i −0.696583 + 1.47939i
\(700\) 2046.42 + 428.329i 0.110496 + 0.0231276i
\(701\) 10015.2i 0.539612i 0.962915 + 0.269806i \(0.0869596\pi\)
−0.962915 + 0.269806i \(0.913040\pi\)
\(702\) 6949.61 + 1945.78i 0.373641 + 0.104614i
\(703\) 11349.3 6552.54i 0.608888 0.351541i
\(704\) 34.1625 19.7237i 0.00182890 0.00105592i
\(705\) −8311.65 + 5773.78i −0.444021 + 0.308444i
\(706\) 20543.5i 1.09514i
\(707\) 23543.0 26311.4i 1.25237 1.39963i
\(708\) 11695.1 + 5506.75i 0.620804 + 0.292311i
\(709\) 8975.91 15546.7i 0.475455 0.823511i −0.524150 0.851626i \(-0.675617\pi\)
0.999605 + 0.0281144i \(0.00895028\pi\)
\(710\) 3537.00 + 6126.27i 0.186960 + 0.323824i
\(711\) 11044.8 29654.8i 0.582577 1.56420i
\(712\) 10797.2 + 6233.78i 0.568319 + 0.328119i
\(713\) 24394.1 1.28130
\(714\) −8219.88 19398.3i −0.430842 1.01675i
\(715\) −256.597 −0.0134212
\(716\) −13334.5 7698.69i −0.695998 0.401835i
\(717\) 19608.2 1641.79i 1.02131 0.0855143i
\(718\) −13280.1 23001.8i −0.690262 1.19557i
\(719\) −8242.13 + 14275.8i −0.427510 + 0.740468i −0.996651 0.0817712i \(-0.973942\pi\)
0.569142 + 0.822240i \(0.307276\pi\)
\(720\) −6857.30 8297.19i −0.354940 0.429470i
\(721\) −6613.51 + 31597.2i −0.341609 + 1.63210i
\(722\) 16756.9i 0.863752i
\(723\) −7695.87 11078.6i −0.395868 0.569872i
\(724\) 11487.9 6632.57i 0.589704 0.340466i
\(725\) 2757.78 1592.21i 0.141271 0.0815628i
\(726\) −13828.3 19906.6i −0.706912 1.01764i
\(727\) 36315.4i 1.85263i −0.376744 0.926317i \(-0.622956\pi\)
0.376744 0.926317i \(-0.377044\pi\)
\(728\) −1035.60 3153.84i −0.0527226 0.160562i
\(729\) −17262.0 + 9457.42i −0.877002 + 0.480487i
\(730\) −1373.53 + 2379.02i −0.0696390 + 0.120618i
\(731\) −3352.51 5806.72i −0.169627 0.293802i
\(732\) 11114.6 930.625i 0.561213 0.0469903i
\(733\) 19183.5 + 11075.6i 0.966657 + 0.558100i 0.898215 0.439555i \(-0.144864\pi\)
0.0684416 + 0.997655i \(0.478197\pi\)
\(734\) −34714.3 −1.74568
\(735\) −8743.41 + 1722.16i −0.438783 + 0.0864258i
\(736\) −21095.9 −1.05653
\(737\) 1271.69 + 734.209i 0.0635593 + 0.0366960i
\(738\) −29377.9 10941.6i −1.46533 0.545755i
\(739\) −3079.43 5333.73i −0.153287 0.265500i 0.779147 0.626841i \(-0.215652\pi\)
−0.932434 + 0.361341i \(0.882319\pi\)
\(740\) 3211.34 5562.20i 0.159529 0.276312i
\(741\) −3149.10 1482.78i −0.156120 0.0735105i
\(742\) −12152.4 37009.1i −0.601253 1.83106i
\(743\) 31402.5i 1.55053i 0.631634 + 0.775267i \(0.282385\pi\)
−0.631634 + 0.775267i \(0.717615\pi\)
\(744\) 11160.0 7752.44i 0.549928 0.382014i
\(745\) −2177.22 + 1257.02i −0.107070 + 0.0618169i
\(746\) 14098.9 8140.03i 0.691956 0.399501i
\(747\) −117.970 + 19.8947i −0.00577818 + 0.000974443i
\(748\) 986.255i 0.0482100i
\(749\) 6810.84 32540.0i 0.332260 1.58743i
\(750\) −978.870 + 2078.90i −0.0476577 + 0.101214i
\(751\) −13149.1 + 22774.9i −0.638903 + 1.10661i 0.346771 + 0.937950i \(0.387278\pi\)
−0.985674 + 0.168663i \(0.946055\pi\)
\(752\) 15529.4 + 26897.7i 0.753058 + 1.30433i
\(753\) −1897.93 22667.4i −0.0918520 1.09700i
\(754\) 5674.44 + 3276.14i 0.274073 + 0.158236i
\(755\) 11753.8 0.566577
\(756\) −10410.8 5411.02i −0.500844 0.260313i
\(757\) 40494.0 1.94422 0.972112 0.234517i \(-0.0753507\pi\)
0.972112 + 0.234517i \(0.0753507\pi\)
\(758\) −31635.4 18264.7i −1.51590 0.875204i
\(759\) −175.953 2101.44i −0.00841460 0.100497i
\(760\) 1419.72 + 2459.03i 0.0677613 + 0.117366i
\(761\) 6077.17 10526.0i 0.289484 0.501401i −0.684203 0.729292i \(-0.739850\pi\)
0.973687 + 0.227891i \(0.0731829\pi\)
\(762\) 17942.1 38105.2i 0.852985 1.81155i
\(763\) 9451.88 10563.3i 0.448468 0.501202i
\(764\) 483.156i 0.0228795i
\(765\) 8237.80 1389.24i 0.389331 0.0656576i
\(766\) 9899.84 5715.68i 0.466966 0.269603i
\(767\) −6937.38 + 4005.30i −0.326590 + 0.188557i
\(768\) −21943.3 + 15243.2i −1.03101 + 0.716199i
\(769\) 4997.38i 0.234344i 0.993112 + 0.117172i \(0.0373828\pi\)
−0.993112 + 0.117172i \(0.962617\pi\)
\(770\) 1131.71 + 236.876i 0.0529665 + 0.0110862i
\(771\) −2663.10 1253.94i −0.124396 0.0585729i
\(772\) −4927.23 + 8534.22i<