Properties

Label 403.2.v.a.36.3
Level 403
Weight 2
Character 403.36
Analytic conductor 3.218
Analytic rank 0
Dimension 70
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(70\)
Relative dimension: \(35\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 36.3
Character \(\chi\) \(=\) 403.36
Dual form 403.2.v.a.56.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.12624 + 1.22758i) q^{2} -0.797547 q^{3} +(2.01392 - 3.48821i) q^{4} +(3.14114 - 1.81354i) q^{5} +(1.69577 - 0.979055i) q^{6} +(-4.27757 + 2.46966i) q^{7} +4.97868i q^{8} -2.36392 q^{9} +O(q^{10})\) \(q+(-2.12624 + 1.22758i) q^{2} -0.797547 q^{3} +(2.01392 - 3.48821i) q^{4} +(3.14114 - 1.81354i) q^{5} +(1.69577 - 0.979055i) q^{6} +(-4.27757 + 2.46966i) q^{7} +4.97868i q^{8} -2.36392 q^{9} +(-4.45254 + 7.71202i) q^{10} +(-1.32911 - 0.767364i) q^{11} +(-1.60619 + 2.78201i) q^{12} +(3.58407 - 0.392984i) q^{13} +(6.06341 - 10.5021i) q^{14} +(-2.50521 + 1.44638i) q^{15} +(-2.08390 - 3.60943i) q^{16} +(2.94372 + 5.09867i) q^{17} +(5.02625 - 2.90191i) q^{18} +(3.77622 - 2.18020i) q^{19} -14.6093i q^{20} +(3.41156 - 1.96967i) q^{21} +3.76801 q^{22} +(1.48885 + 2.57877i) q^{23} -3.97073i q^{24} +(4.07785 - 7.06304i) q^{25} +(-7.13816 + 5.23532i) q^{26} +4.27798 q^{27} +19.8947i q^{28} +(0.886250 + 1.53503i) q^{29} +(3.55111 - 6.15070i) q^{30} +(5.54265 + 0.528277i) q^{31} +(0.238413 + 0.137648i) q^{32} +(1.06003 + 0.612009i) q^{33} +(-12.5181 - 7.22731i) q^{34} +(-8.95763 + 15.5151i) q^{35} +(-4.76074 + 8.24585i) q^{36} -6.93903i q^{37} +(-5.35276 + 9.27126i) q^{38} +(-2.85846 + 0.313423i) q^{39} +(9.02903 + 15.6387i) q^{40} +(6.61074 + 3.81671i) q^{41} +(-4.83586 + 8.37595i) q^{42} +(4.52300 + 7.83407i) q^{43} +(-5.35346 + 3.09082i) q^{44} +(-7.42540 + 4.28706i) q^{45} +(-6.33130 - 3.65538i) q^{46} +4.38154i q^{47} +(1.66201 + 2.87869i) q^{48} +(8.69840 - 15.0661i) q^{49} +20.0236i q^{50} +(-2.34775 - 4.06642i) q^{51} +(5.84722 - 13.2934i) q^{52} +(3.98870 + 6.90863i) q^{53} +(-9.09599 + 5.25157i) q^{54} -5.56658 q^{55} +(-12.2956 - 21.2966i) q^{56} +(-3.01171 + 1.73881i) q^{57} +(-3.76875 - 2.17589i) q^{58} +(-5.67033 + 3.27377i) q^{59} +11.6516i q^{60} +(-0.474064 + 0.821103i) q^{61} +(-12.4335 + 5.68082i) q^{62} +(10.1118 - 5.83807i) q^{63} +7.65972 q^{64} +(10.5454 - 7.73427i) q^{65} -3.00517 q^{66} +(-2.49627 - 1.44122i) q^{67} +23.7136 q^{68} +(-1.18743 - 2.05669i) q^{69} -43.9849i q^{70} -9.03650i q^{71} -11.7692i q^{72} +(3.41873 - 1.97381i) q^{73} +(8.51823 + 14.7540i) q^{74} +(-3.25227 + 5.63310i) q^{75} -17.5630i q^{76} +7.58050 q^{77} +(5.69302 - 4.17541i) q^{78} +(-1.84710 + 3.19928i) q^{79} +(-13.0917 - 7.55848i) q^{80} +3.67987 q^{81} -18.7413 q^{82} +(-1.91225 + 1.10404i) q^{83} -15.8670i q^{84} +(18.4933 + 10.6771i) q^{85} +(-19.2339 - 11.1047i) q^{86} +(-0.706826 - 1.22426i) q^{87} +(3.82046 - 6.61723i) q^{88} +(-13.9315 + 8.04337i) q^{89} +(10.5254 - 18.2306i) q^{90} +(-14.3606 + 10.5324i) q^{91} +11.9937 q^{92} +(-4.42052 - 0.421326i) q^{93} +(-5.37871 - 9.31620i) q^{94} +(7.90777 - 13.6967i) q^{95} +(-0.190145 - 0.109780i) q^{96} +(1.72108 + 0.993664i) q^{97} +42.7120i q^{98} +(3.14192 + 1.81399i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} + O(q^{10}) \) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} - q^{10} - 6q^{11} + 13q^{12} - 14q^{13} - 14q^{14} - 15q^{15} - 28q^{16} + 6q^{17} + 12q^{19} + 9q^{21} - 8q^{22} + 10q^{23} + 19q^{25} + 34q^{27} - 18q^{29} - 31q^{30} + 2q^{31} + 36q^{32} - 12q^{33} - 9q^{34} - 12q^{35} + 8q^{36} - 21q^{38} - 30q^{39} + 5q^{40} + 18q^{41} - 49q^{42} + 19q^{43} - 42q^{44} - 63q^{45} - 6q^{46} - 27q^{48} + 9q^{49} - 7q^{51} - 43q^{52} - 22q^{53} + 18q^{54} + 30q^{55} + 25q^{56} - 15q^{57} - 12q^{58} + 33q^{59} - 13q^{61} - 17q^{62} - 6q^{63} - 38q^{64} + 9q^{65} - 52q^{66} + 30q^{67} + 88q^{68} - 16q^{69} + 9q^{73} - 19q^{74} + 25q^{75} + 34q^{77} + 14q^{78} + 6q^{79} + 6q^{80} + 22q^{81} - 78q^{82} + 54q^{83} - 33q^{85} + 24q^{86} - 14q^{87} + 16q^{88} - 6q^{89} - 11q^{90} - 70q^{91} - 6q^{92} + 7q^{93} - 43q^{94} + 25q^{95} - 36q^{96} - 75q^{97} - 93q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.12624 + 1.22758i −1.50348 + 0.868032i −0.503484 + 0.864005i \(0.667949\pi\)
−0.999992 + 0.00402754i \(0.998718\pi\)
\(3\) −0.797547 −0.460464 −0.230232 0.973136i \(-0.573948\pi\)
−0.230232 + 0.973136i \(0.573948\pi\)
\(4\) 2.01392 3.48821i 1.00696 1.74411i
\(5\) 3.14114 1.81354i 1.40476 0.811039i 0.409885 0.912137i \(-0.365569\pi\)
0.994876 + 0.101098i \(0.0322356\pi\)
\(6\) 1.69577 0.979055i 0.692296 0.399697i
\(7\) −4.27757 + 2.46966i −1.61677 + 0.933442i −0.629021 + 0.777389i \(0.716544\pi\)
−0.987749 + 0.156053i \(0.950123\pi\)
\(8\) 4.97868i 1.76023i
\(9\) −2.36392 −0.787973
\(10\) −4.45254 + 7.71202i −1.40802 + 2.43876i
\(11\) −1.32911 0.767364i −0.400743 0.231369i 0.286062 0.958211i \(-0.407654\pi\)
−0.686804 + 0.726842i \(0.740987\pi\)
\(12\) −1.60619 + 2.78201i −0.463668 + 0.803097i
\(13\) 3.58407 0.392984i 0.994042 0.108994i
\(14\) 6.06341 10.5021i 1.62052 2.80682i
\(15\) −2.50521 + 1.44638i −0.646842 + 0.373454i
\(16\) −2.08390 3.60943i −0.520976 0.902356i
\(17\) 2.94372 + 5.09867i 0.713956 + 1.23661i 0.963361 + 0.268209i \(0.0864317\pi\)
−0.249405 + 0.968399i \(0.580235\pi\)
\(18\) 5.02625 2.90191i 1.18470 0.683986i
\(19\) 3.77622 2.18020i 0.866325 0.500173i 0.000199869 1.00000i \(-0.499936\pi\)
0.866125 + 0.499827i \(0.166603\pi\)
\(20\) 14.6093i 3.26674i
\(21\) 3.41156 1.96967i 0.744464 0.429816i
\(22\) 3.76801 0.803343
\(23\) 1.48885 + 2.57877i 0.310447 + 0.537710i 0.978459 0.206440i \(-0.0661879\pi\)
−0.668012 + 0.744150i \(0.732855\pi\)
\(24\) 3.97073i 0.810522i
\(25\) 4.07785 7.06304i 0.815569 1.41261i
\(26\) −7.13816 + 5.23532i −1.39991 + 1.02673i
\(27\) 4.27798 0.823297
\(28\) 19.8947i 3.75975i
\(29\) 0.886250 + 1.53503i 0.164572 + 0.285048i 0.936503 0.350659i \(-0.114042\pi\)
−0.771931 + 0.635706i \(0.780709\pi\)
\(30\) 3.55111 6.15070i 0.648341 1.12296i
\(31\) 5.54265 + 0.528277i 0.995489 + 0.0948814i
\(32\) 0.238413 + 0.137648i 0.0421458 + 0.0243329i
\(33\) 1.06003 + 0.612009i 0.184528 + 0.106537i
\(34\) −12.5181 7.22731i −2.14683 1.23947i
\(35\) −8.95763 + 15.5151i −1.51412 + 2.62253i
\(36\) −4.76074 + 8.24585i −0.793457 + 1.37431i
\(37\) 6.93903i 1.14077i −0.821378 0.570385i \(-0.806794\pi\)
0.821378 0.570385i \(-0.193206\pi\)
\(38\) −5.35276 + 9.27126i −0.868333 + 1.50400i
\(39\) −2.85846 + 0.313423i −0.457721 + 0.0501878i
\(40\) 9.02903 + 15.6387i 1.42761 + 2.47270i
\(41\) 6.61074 + 3.81671i 1.03242 + 0.596071i 0.917678 0.397324i \(-0.130061\pi\)
0.114746 + 0.993395i \(0.463395\pi\)
\(42\) −4.83586 + 8.37595i −0.746189 + 1.29244i
\(43\) 4.52300 + 7.83407i 0.689752 + 1.19469i 0.971918 + 0.235320i \(0.0756137\pi\)
−0.282166 + 0.959365i \(0.591053\pi\)
\(44\) −5.35346 + 3.09082i −0.807064 + 0.465959i
\(45\) −7.42540 + 4.28706i −1.10691 + 0.639077i
\(46\) −6.33130 3.65538i −0.933499 0.538956i
\(47\) 4.38154i 0.639114i 0.947567 + 0.319557i \(0.103534\pi\)
−0.947567 + 0.319557i \(0.896466\pi\)
\(48\) 1.66201 + 2.87869i 0.239890 + 0.415502i
\(49\) 8.69840 15.0661i 1.24263 2.15230i
\(50\) 20.0236i 2.83176i
\(51\) −2.34775 4.06642i −0.328751 0.569413i
\(52\) 5.84722 13.2934i 0.810864 1.84347i
\(53\) 3.98870 + 6.90863i 0.547890 + 0.948974i 0.998419 + 0.0562119i \(0.0179022\pi\)
−0.450529 + 0.892762i \(0.648764\pi\)
\(54\) −9.09599 + 5.25157i −1.23781 + 0.714648i
\(55\) −5.56658 −0.750597
\(56\) −12.2956 21.2966i −1.64307 2.84588i
\(57\) −3.01171 + 1.73881i −0.398911 + 0.230312i
\(58\) −3.76875 2.17589i −0.494862 0.285708i
\(59\) −5.67033 + 3.27377i −0.738214 + 0.426208i −0.821420 0.570324i \(-0.806817\pi\)
0.0832057 + 0.996532i \(0.473484\pi\)
\(60\) 11.6516i 1.50421i
\(61\) −0.474064 + 0.821103i −0.0606977 + 0.105131i −0.894777 0.446512i \(-0.852666\pi\)
0.834080 + 0.551644i \(0.185999\pi\)
\(62\) −12.4335 + 5.68082i −1.57905 + 0.721464i
\(63\) 10.1118 5.83807i 1.27397 0.735527i
\(64\) 7.65972 0.957465
\(65\) 10.5454 7.73427i 1.30799 0.959318i
\(66\) −3.00517 −0.369910
\(67\) −2.49627 1.44122i −0.304968 0.176073i 0.339705 0.940532i \(-0.389673\pi\)
−0.644672 + 0.764459i \(0.723006\pi\)
\(68\) 23.7136 2.87570
\(69\) −1.18743 2.05669i −0.142950 0.247596i
\(70\) 43.9849i 5.25721i
\(71\) 9.03650i 1.07244i −0.844080 0.536218i \(-0.819853\pi\)
0.844080 0.536218i \(-0.180147\pi\)
\(72\) 11.7692i 1.38701i
\(73\) 3.41873 1.97381i 0.400133 0.231017i −0.286409 0.958108i \(-0.592461\pi\)
0.686541 + 0.727091i \(0.259128\pi\)
\(74\) 8.51823 + 14.7540i 0.990224 + 1.71512i
\(75\) −3.25227 + 5.63310i −0.375540 + 0.650455i
\(76\) 17.5630i 2.01462i
\(77\) 7.58050 0.863878
\(78\) 5.69302 4.17541i 0.644607 0.472772i
\(79\) −1.84710 + 3.19928i −0.207816 + 0.359947i −0.951026 0.309110i \(-0.899969\pi\)
0.743211 + 0.669058i \(0.233302\pi\)
\(80\) −13.0917 7.55848i −1.46369 0.845064i
\(81\) 3.67987 0.408875
\(82\) −18.7413 −2.06963
\(83\) −1.91225 + 1.10404i −0.209896 + 0.121184i −0.601263 0.799051i \(-0.705336\pi\)
0.391367 + 0.920235i \(0.372002\pi\)
\(84\) 15.8670i 1.73123i
\(85\) 18.4933 + 10.6771i 2.00588 + 1.15809i
\(86\) −19.2339 11.1047i −2.07405 1.19745i
\(87\) −0.706826 1.22426i −0.0757797 0.131254i
\(88\) 3.82046 6.61723i 0.407262 0.705399i
\(89\) −13.9315 + 8.04337i −1.47674 + 0.852596i −0.999655 0.0262614i \(-0.991640\pi\)
−0.477084 + 0.878857i \(0.658306\pi\)
\(90\) 10.5254 18.2306i 1.10948 1.92167i
\(91\) −14.3606 + 10.5324i −1.50540 + 1.10410i
\(92\) 11.9937 1.25043
\(93\) −4.42052 0.421326i −0.458386 0.0436894i
\(94\) −5.37871 9.31620i −0.554771 0.960892i
\(95\) 7.90777 13.6967i 0.811320 1.40525i
\(96\) −0.190145 0.109780i −0.0194066 0.0112044i
\(97\) 1.72108 + 0.993664i 0.174749 + 0.100891i 0.584823 0.811161i \(-0.301164\pi\)
−0.410074 + 0.912052i \(0.634497\pi\)
\(98\) 42.7120i 4.31457i
\(99\) 3.14192 + 1.81399i 0.315775 + 0.182313i
\(100\) −16.4249 28.4488i −1.64249 2.84488i
\(101\) 3.63150 + 6.28994i 0.361348 + 0.625873i 0.988183 0.153279i \(-0.0489834\pi\)
−0.626835 + 0.779152i \(0.715650\pi\)
\(102\) 9.98375 + 5.76412i 0.988538 + 0.570733i
\(103\) 0.616571 + 1.06793i 0.0607525 + 0.105226i 0.894802 0.446463i \(-0.147317\pi\)
−0.834049 + 0.551690i \(0.813983\pi\)
\(104\) 1.95654 + 17.8439i 0.191854 + 1.74974i
\(105\) 7.14413 12.3740i 0.697196 1.20758i
\(106\) −16.9618 9.79292i −1.64748 0.951173i
\(107\) −3.97178 −0.383966 −0.191983 0.981398i \(-0.561492\pi\)
−0.191983 + 0.981398i \(0.561492\pi\)
\(108\) 8.61550 14.9225i 0.829027 1.43592i
\(109\) 0.960300i 0.0919800i 0.998942 + 0.0459900i \(0.0146442\pi\)
−0.998942 + 0.0459900i \(0.985356\pi\)
\(110\) 11.8359 6.83344i 1.12851 0.651543i
\(111\) 5.53420i 0.525283i
\(112\) 17.8281 + 10.2930i 1.68460 + 0.972601i
\(113\) 9.28539 0.873496 0.436748 0.899584i \(-0.356130\pi\)
0.436748 + 0.899584i \(0.356130\pi\)
\(114\) 4.26908 7.39426i 0.399836 0.692536i
\(115\) 9.35339 + 5.40018i 0.872208 + 0.503569i
\(116\) 7.13934 0.662871
\(117\) −8.47245 + 0.928981i −0.783279 + 0.0858844i
\(118\) 8.03764 13.9216i 0.739924 1.28159i
\(119\) −25.1839 14.5399i −2.30860 1.33287i
\(120\) −7.20107 12.4726i −0.657365 1.13859i
\(121\) −4.32230 7.48645i −0.392937 0.680586i
\(122\) 2.32781i 0.210750i
\(123\) −5.27238 3.04401i −0.475394 0.274469i
\(124\) 13.0052 18.2700i 1.16790 1.64070i
\(125\) 11.4459i 1.02376i
\(126\) −14.3334 + 24.8262i −1.27692 + 2.21169i
\(127\) 5.59781 0.496726 0.248363 0.968667i \(-0.420107\pi\)
0.248363 + 0.968667i \(0.420107\pi\)
\(128\) −16.7632 + 9.67823i −1.48167 + 0.855443i
\(129\) −3.60731 6.24804i −0.317606 0.550109i
\(130\) −12.9275 + 29.3902i −1.13382 + 2.57769i
\(131\) −4.25828 + 7.37556i −0.372048 + 0.644406i −0.989880 0.141904i \(-0.954678\pi\)
0.617833 + 0.786310i \(0.288011\pi\)
\(132\) 4.26963 2.46507i 0.371624 0.214557i
\(133\) −10.7687 + 18.6519i −0.933765 + 1.61733i
\(134\) 7.07687 0.611348
\(135\) 13.4377 7.75828i 1.15654 0.667726i
\(136\) −25.3846 + 14.6558i −2.17671 + 1.25673i
\(137\) 18.4822i 1.57904i −0.613725 0.789520i \(-0.710330\pi\)
0.613725 0.789520i \(-0.289670\pi\)
\(138\) 5.04951 + 2.91533i 0.429843 + 0.248170i
\(139\) 6.91482 11.9768i 0.586508 1.01586i −0.408178 0.912902i \(-0.633836\pi\)
0.994686 0.102959i \(-0.0328309\pi\)
\(140\) 36.0799 + 62.4922i 3.04931 + 5.28156i
\(141\) 3.49449i 0.294289i
\(142\) 11.0931 + 19.2137i 0.930908 + 1.61238i
\(143\) −5.06520 2.22797i −0.423573 0.186312i
\(144\) 4.92618 + 8.53239i 0.410515 + 0.711033i
\(145\) 5.56767 + 3.21450i 0.462370 + 0.266949i
\(146\) −4.84602 + 8.39356i −0.401060 + 0.694656i
\(147\) −6.93738 + 12.0159i −0.572185 + 0.991054i
\(148\) −24.2048 13.9746i −1.98962 1.14871i
\(149\) −7.02249 + 4.05443i −0.575304 + 0.332152i −0.759265 0.650781i \(-0.774441\pi\)
0.183961 + 0.982934i \(0.441108\pi\)
\(150\) 15.9697i 1.30392i
\(151\) 8.90676i 0.724822i −0.932018 0.362411i \(-0.881954\pi\)
0.932018 0.362411i \(-0.118046\pi\)
\(152\) 10.8545 + 18.8006i 0.880419 + 1.52493i
\(153\) −6.95871 12.0528i −0.562578 0.974414i
\(154\) −16.1179 + 9.30569i −1.29882 + 0.749874i
\(155\) 18.3683 8.39241i 1.47538 0.674095i
\(156\) −4.66343 + 10.6021i −0.373373 + 0.848850i
\(157\) −14.8634 −1.18623 −0.593116 0.805117i \(-0.702102\pi\)
−0.593116 + 0.805117i \(0.702102\pi\)
\(158\) 9.06990i 0.721562i
\(159\) −3.18118 5.50996i −0.252284 0.436968i
\(160\) 0.998517 0.0789397
\(161\) −12.7373 7.35390i −1.00384 0.579569i
\(162\) −7.82428 + 4.51735i −0.614733 + 0.354916i
\(163\) −2.14032 1.23572i −0.167643 0.0967887i 0.413831 0.910354i \(-0.364190\pi\)
−0.581474 + 0.813565i \(0.697524\pi\)
\(164\) 26.6270 15.3731i 2.07922 1.20044i
\(165\) 4.43961 0.345623
\(166\) 2.71059 4.69489i 0.210383 0.364394i
\(167\) 4.81794i 0.372823i 0.982472 + 0.186412i \(0.0596858\pi\)
−0.982472 + 0.186412i \(0.940314\pi\)
\(168\) 9.80633 + 16.9851i 0.756575 + 1.31043i
\(169\) 12.6911 2.81696i 0.976241 0.216689i
\(170\) −52.4280 −4.02105
\(171\) −8.92669 + 5.15383i −0.682641 + 0.394123i
\(172\) 36.4359 2.77821
\(173\) 10.0203 0.761826 0.380913 0.924611i \(-0.375610\pi\)
0.380913 + 0.924611i \(0.375610\pi\)
\(174\) 3.00576 + 1.73537i 0.227866 + 0.131558i
\(175\) 40.2835i 3.04515i
\(176\) 6.39645i 0.482151i
\(177\) 4.52235 2.61098i 0.339921 0.196253i
\(178\) 19.7478 34.2042i 1.48016 2.56371i
\(179\) 4.05173 0.302841 0.151420 0.988469i \(-0.451615\pi\)
0.151420 + 0.988469i \(0.451615\pi\)
\(180\) 34.5352i 2.57410i
\(181\) 4.37524 + 7.57814i 0.325209 + 0.563278i 0.981555 0.191182i \(-0.0612320\pi\)
−0.656346 + 0.754460i \(0.727899\pi\)
\(182\) 17.6045 40.0232i 1.30494 2.96672i
\(183\) 0.378088 0.654868i 0.0279491 0.0484092i
\(184\) −12.8389 + 7.41251i −0.946493 + 0.546458i
\(185\) −12.5842 21.7965i −0.925209 1.60251i
\(186\) 9.91628 4.53072i 0.727097 0.332208i
\(187\) 9.03561i 0.660749i
\(188\) 15.2837 + 8.82408i 1.11468 + 0.643562i
\(189\) −18.2993 + 10.5651i −1.33108 + 0.768500i
\(190\) 38.8298i 2.81701i
\(191\) 21.2545 1.53792 0.768962 0.639295i \(-0.220774\pi\)
0.768962 + 0.639295i \(0.220774\pi\)
\(192\) −6.10898 −0.440878
\(193\) 1.88526i 0.135704i −0.997695 0.0678519i \(-0.978385\pi\)
0.997695 0.0678519i \(-0.0216145\pi\)
\(194\) −4.87922 −0.350308
\(195\) −8.41043 + 6.16844i −0.602284 + 0.441731i
\(196\) −35.0357 60.6837i −2.50255 4.33455i
\(197\) −3.70290 2.13787i −0.263820 0.152317i 0.362256 0.932079i \(-0.382007\pi\)
−0.626076 + 0.779762i \(0.715340\pi\)
\(198\) −8.90728 −0.633013
\(199\) 2.53966 0.180032 0.0900159 0.995940i \(-0.471308\pi\)
0.0900159 + 0.995940i \(0.471308\pi\)
\(200\) 35.1646 + 20.3023i 2.48651 + 1.43559i
\(201\) 1.99089 + 1.14944i 0.140427 + 0.0810753i
\(202\) −15.4429 8.91594i −1.08656 0.627323i
\(203\) −7.58199 4.37746i −0.532151 0.307238i
\(204\) −18.9127 −1.32416
\(205\) 27.6870 1.93375
\(206\) −2.62195 1.51378i −0.182680 0.105470i
\(207\) −3.51952 6.09600i −0.244624 0.423701i
\(208\) −8.88730 12.1175i −0.616223 0.840197i
\(209\) −6.69204 −0.462898
\(210\) 35.0800i 2.42075i
\(211\) −1.80346 −0.124156 −0.0620778 0.998071i \(-0.519773\pi\)
−0.0620778 + 0.998071i \(0.519773\pi\)
\(212\) 32.1317 2.20681
\(213\) 7.20703i 0.493818i
\(214\) 8.44494 4.87569i 0.577284 0.333295i
\(215\) 28.4148 + 16.4053i 1.93787 + 1.11883i
\(216\) 21.2987i 1.44919i
\(217\) −25.0137 + 11.4287i −1.69804 + 0.775830i
\(218\) −1.17885 2.04182i −0.0798416 0.138290i
\(219\) −2.72660 + 1.57420i −0.184247 + 0.106375i
\(220\) −11.2106 + 19.4174i −0.755821 + 1.30912i
\(221\) 12.5542 + 17.1172i 0.844486 + 1.15142i
\(222\) −6.79369 11.7670i −0.455963 0.789750i
\(223\) 14.7133i 0.985277i 0.870234 + 0.492638i \(0.163967\pi\)
−0.870234 + 0.492638i \(0.836033\pi\)
\(224\) −1.35977 −0.0908533
\(225\) −9.63970 + 16.6965i −0.642647 + 1.11310i
\(226\) −19.7429 + 11.3986i −1.31328 + 0.758223i
\(227\) 17.3359i 1.15062i 0.817934 + 0.575312i \(0.195119\pi\)
−0.817934 + 0.575312i \(0.804881\pi\)
\(228\) 14.0073i 0.927658i
\(229\) −18.1120 10.4570i −1.19688 0.691017i −0.237020 0.971505i \(-0.576171\pi\)
−0.959858 + 0.280488i \(0.909504\pi\)
\(230\) −26.5167 −1.74846
\(231\) −6.04580 −0.397785
\(232\) −7.64242 + 4.41235i −0.501750 + 0.289685i
\(233\) −2.59043 −0.169705 −0.0848524 0.996394i \(-0.527042\pi\)
−0.0848524 + 0.996394i \(0.527042\pi\)
\(234\) 16.8740 12.3759i 1.10309 0.809036i
\(235\) 7.94610 + 13.7631i 0.518346 + 0.897802i
\(236\) 26.3724i 1.71670i
\(237\) 1.47315 2.55157i 0.0956915 0.165743i
\(238\) 71.3959 4.62791
\(239\) 4.16744 2.40607i 0.269569 0.155636i −0.359123 0.933290i \(-0.616924\pi\)
0.628692 + 0.777655i \(0.283591\pi\)
\(240\) 10.4412 + 6.02824i 0.673978 + 0.389121i
\(241\) 12.5274 7.23270i 0.806961 0.465899i −0.0389383 0.999242i \(-0.512398\pi\)
0.845899 + 0.533342i \(0.179064\pi\)
\(242\) 18.3805 + 10.6120i 1.18154 + 0.682163i
\(243\) −15.7688 −1.01157
\(244\) 1.90945 + 3.30727i 0.122240 + 0.211726i
\(245\) 63.0995i 4.03128i
\(246\) 14.9471 0.952991
\(247\) 12.6775 9.29800i 0.806648 0.591618i
\(248\) −2.63012 + 27.5951i −0.167013 + 1.75229i
\(249\) 1.52511 0.880521i 0.0966497 0.0558007i
\(250\) 14.0508 + 24.3368i 0.888653 + 1.53919i
\(251\) −4.50082 7.79565i −0.284089 0.492057i 0.688299 0.725427i \(-0.258358\pi\)
−0.972388 + 0.233370i \(0.925025\pi\)
\(252\) 47.0296i 2.96259i
\(253\) 4.56997i 0.287311i
\(254\) −11.9023 + 6.87178i −0.746815 + 0.431174i
\(255\) −14.7492 8.51548i −0.923633 0.533260i
\(256\) 16.1019 27.8894i 1.00637 1.74309i
\(257\) −9.76875 + 16.9200i −0.609358 + 1.05544i 0.381988 + 0.924167i \(0.375239\pi\)
−0.991346 + 0.131272i \(0.958094\pi\)
\(258\) 15.3400 + 8.85654i 0.955025 + 0.551384i
\(259\) 17.1370 + 29.6822i 1.06484 + 1.84436i
\(260\) −5.74121 52.3607i −0.356055 3.24727i
\(261\) −2.09502 3.62869i −0.129679 0.224610i
\(262\) 20.9096i 1.29180i
\(263\) −13.1603 22.7942i −0.811496 1.40555i −0.911817 0.410597i \(-0.865320\pi\)
0.100321 0.994955i \(-0.468013\pi\)
\(264\) −3.04700 + 5.27755i −0.187530 + 0.324811i
\(265\) 25.0582 + 14.4673i 1.53931 + 0.888721i
\(266\) 52.8779i 3.24215i
\(267\) 11.1110 6.41497i 0.679985 0.392590i
\(268\) −10.0546 + 5.80500i −0.614180 + 0.354597i
\(269\) 16.8900 1.02980 0.514900 0.857250i \(-0.327829\pi\)
0.514900 + 0.857250i \(0.327829\pi\)
\(270\) −19.0479 + 32.9918i −1.15922 + 2.00782i
\(271\) 10.0033 5.77541i 0.607657 0.350831i −0.164391 0.986395i \(-0.552566\pi\)
0.772048 + 0.635564i \(0.219232\pi\)
\(272\) 12.2688 21.2503i 0.743908 1.28849i
\(273\) 11.4532 8.40011i 0.693181 0.508398i
\(274\) 22.6884 + 39.2975i 1.37066 + 2.37405i
\(275\) −10.8398 + 6.25839i −0.653667 + 0.377395i
\(276\) −9.56554 −0.575778
\(277\) −8.13062 + 14.0826i −0.488521 + 0.846144i −0.999913 0.0132041i \(-0.995797\pi\)
0.511391 + 0.859348i \(0.329130\pi\)
\(278\) 33.9541i 2.03643i
\(279\) −13.1024 1.24880i −0.784418 0.0747640i
\(280\) −77.2446 44.5972i −4.61625 2.66519i
\(281\) 0.767274i 0.0457717i −0.999738 0.0228859i \(-0.992715\pi\)
0.999738 0.0228859i \(-0.00728543\pi\)
\(282\) 4.28977 + 7.43010i 0.255452 + 0.442456i
\(283\) −13.3783 23.1719i −0.795259 1.37743i −0.922675 0.385580i \(-0.874001\pi\)
0.127415 0.991849i \(-0.459332\pi\)
\(284\) −31.5212 18.1988i −1.87044 1.07990i
\(285\) −6.30681 + 10.9237i −0.373583 + 0.647066i
\(286\) 13.5048 1.48077i 0.798557 0.0875596i
\(287\) −37.7039 −2.22559
\(288\) −0.563588 0.325388i −0.0332097 0.0191737i
\(289\) −8.83093 + 15.2956i −0.519467 + 0.899743i
\(290\) −15.7842 −0.926883
\(291\) −1.37264 0.792494i −0.0804656 0.0464568i
\(292\) 15.9004i 0.930498i
\(293\) −6.34506 + 3.66332i −0.370682 + 0.214013i −0.673756 0.738953i \(-0.735320\pi\)
0.303074 + 0.952967i \(0.401987\pi\)
\(294\) 34.0648i 1.98670i
\(295\) −11.8742 + 20.5667i −0.691343 + 1.19744i
\(296\) 34.5472 2.00802
\(297\) −5.68592 3.28277i −0.329930 0.190485i
\(298\) 9.95431 17.2414i 0.576638 0.998766i
\(299\) 6.34956 + 8.65739i 0.367205 + 0.500670i
\(300\) 13.0996 + 22.6892i 0.756307 + 1.30996i
\(301\) −38.6949 22.3405i −2.23034 1.28769i
\(302\) 10.9338 + 18.9379i 0.629169 + 1.08975i
\(303\) −2.89629 5.01652i −0.166388 0.288192i
\(304\) −15.7386 9.08667i −0.902669 0.521156i
\(305\) 3.43893i 0.196913i
\(306\) 29.5917 + 17.0848i 1.69165 + 0.976672i
\(307\) 15.4430 + 8.91601i 0.881378 + 0.508864i 0.871112 0.491084i \(-0.163399\pi\)
0.0102654 + 0.999947i \(0.496732\pi\)
\(308\) 15.2665 26.4424i 0.869891 1.50669i
\(309\) −0.491744 0.851726i −0.0279743 0.0484530i
\(310\) −28.7529 + 40.3928i −1.63306 + 2.29416i
\(311\) −11.0665 −0.627525 −0.313762 0.949502i \(-0.601590\pi\)
−0.313762 + 0.949502i \(0.601590\pi\)
\(312\) −1.56043 14.2314i −0.0883420 0.805693i
\(313\) −8.90128 + 15.4175i −0.503130 + 0.871446i 0.496864 + 0.867829i \(0.334485\pi\)
−0.999993 + 0.00361777i \(0.998848\pi\)
\(314\) 31.6032 18.2461i 1.78347 1.02969i
\(315\) 21.1751 36.6764i 1.19308 2.06648i
\(316\) 7.43984 + 12.8862i 0.418524 + 0.724904i
\(317\) −27.4362 15.8403i −1.54097 0.889678i −0.998778 0.0494223i \(-0.984262\pi\)
−0.542190 0.840256i \(-0.682405\pi\)
\(318\) 13.5279 + 7.81031i 0.758605 + 0.437981i
\(319\) 2.72031i 0.152308i
\(320\) 24.0603 13.8912i 1.34501 0.776541i
\(321\) 3.16768 0.176803
\(322\) 36.1101 2.01234
\(323\) 22.2323 + 12.8358i 1.23704 + 0.714203i
\(324\) 7.41097 12.8362i 0.411720 0.713121i
\(325\) 11.8396 26.9170i 0.656745 1.49308i
\(326\) 6.06777 0.336063
\(327\) 0.765884i 0.0423535i
\(328\) −19.0022 + 32.9128i −1.04922 + 1.81730i
\(329\) −10.8209 18.7424i −0.596576 1.03330i
\(330\) −9.43965 + 5.44999i −0.519636 + 0.300012i
\(331\) 27.1216i 1.49074i −0.666651 0.745370i \(-0.732273\pi\)
0.666651 0.745370i \(-0.267727\pi\)
\(332\) 8.89376i 0.488109i
\(333\) 16.4033i 0.898896i
\(334\) −5.91442 10.2441i −0.323623 0.560531i
\(335\) −10.4548 −0.571209
\(336\) −14.2187 8.20918i −0.775695 0.447848i
\(337\) 0.382064 0.0208124 0.0104062 0.999946i \(-0.496688\pi\)
0.0104062 + 0.999946i \(0.496688\pi\)
\(338\) −23.5263 + 21.5689i −1.27966 + 1.17320i
\(339\) −7.40553 −0.402213
\(340\) 74.4879 43.0056i 4.03967 2.33231i
\(341\) −6.96143 4.95537i −0.376982 0.268348i
\(342\) 12.6535 21.9165i 0.684223 1.18511i
\(343\) 51.3530i 2.77280i
\(344\) −39.0033 + 22.5186i −2.10292 + 1.21412i
\(345\) −7.45976 4.30690i −0.401620 0.231875i
\(346\) −21.3054 + 12.3007i −1.14539 + 0.661290i
\(347\) −7.02411 12.1661i −0.377074 0.653112i 0.613561 0.789647i \(-0.289736\pi\)
−0.990635 + 0.136536i \(0.956403\pi\)
\(348\) −5.69396 −0.305228
\(349\) 5.51745 3.18550i 0.295342 0.170516i −0.345006 0.938600i \(-0.612123\pi\)
0.640349 + 0.768084i \(0.278790\pi\)
\(350\) −49.4513 85.6522i −2.64329 4.57830i
\(351\) 15.3326 1.68117i 0.818392 0.0897344i
\(352\) −0.211252 0.365899i −0.0112597 0.0195025i
\(353\) 8.97735i 0.477816i 0.971042 + 0.238908i \(0.0767894\pi\)
−0.971042 + 0.238908i \(0.923211\pi\)
\(354\) −6.41039 + 11.1031i −0.340708 + 0.590124i
\(355\) −16.3880 28.3849i −0.869787 1.50652i
\(356\) 64.7948i 3.43412i
\(357\) 20.0853 + 11.5963i 1.06303 + 0.613740i
\(358\) −8.61494 + 4.97384i −0.455314 + 0.262875i
\(359\) 11.3769 6.56844i 0.600448 0.346669i −0.168770 0.985656i \(-0.553979\pi\)
0.769218 + 0.638986i \(0.220646\pi\)
\(360\) −21.3439 36.9687i −1.12492 1.94842i
\(361\) 0.00657824 0.0113938i 0.000346223 0.000599676i
\(362\) −18.6056 10.7419i −0.977888 0.564584i
\(363\) 3.44724 + 5.97079i 0.180933 + 0.313385i
\(364\) 7.81831 + 71.3042i 0.409791 + 3.73736i
\(365\) 7.15915 12.4000i 0.374727 0.649047i
\(366\) 1.85654i 0.0970428i
\(367\) 17.1846 29.7646i 0.897028 1.55370i 0.0657524 0.997836i \(-0.479055\pi\)
0.831275 0.555861i \(-0.187611\pi\)
\(368\) 6.20524 10.7478i 0.323471 0.560268i
\(369\) −15.6273 9.02240i −0.813523 0.469688i
\(370\) 53.5140 + 30.8963i 2.78206 + 1.60622i
\(371\) −34.1239 19.7014i −1.77162 1.02285i
\(372\) −10.3722 + 14.5712i −0.537776 + 0.755481i
\(373\) −13.2569 + 22.9616i −0.686415 + 1.18891i 0.286574 + 0.958058i \(0.407483\pi\)
−0.972990 + 0.230848i \(0.925850\pi\)
\(374\) 11.0920 + 19.2118i 0.573552 + 0.993421i
\(375\) 9.12867i 0.471403i
\(376\) −21.8143 −1.12499
\(377\) 3.77962 + 5.15337i 0.194661 + 0.265412i
\(378\) 25.9391 44.9279i 1.33417 2.31084i
\(379\) 2.18240i 0.112103i 0.998428 + 0.0560513i \(0.0178510\pi\)
−0.998428 + 0.0560513i \(0.982149\pi\)
\(380\) −31.8512 55.1679i −1.63393 2.83005i
\(381\) −4.46452 −0.228724
\(382\) −45.1921 + 26.0917i −2.31223 + 1.33497i
\(383\) 11.1378i 0.569115i −0.958659 0.284557i \(-0.908153\pi\)
0.958659 0.284557i \(-0.0918466\pi\)
\(384\) 13.3694 7.71884i 0.682256 0.393900i
\(385\) 23.8114 13.7475i 1.21354 0.700639i
\(386\) 2.31431 + 4.00850i 0.117795 + 0.204027i
\(387\) −10.6920 18.5191i −0.543506 0.941380i
\(388\) 6.93222 4.00232i 0.351930 0.203187i
\(389\) −5.81542 + 10.0726i −0.294853 + 0.510701i −0.974951 0.222421i \(-0.928604\pi\)
0.680097 + 0.733122i \(0.261937\pi\)
\(390\) 10.3103 23.4401i 0.522082 1.18693i
\(391\) −8.76551 + 15.1823i −0.443291 + 0.767803i
\(392\) 75.0091 + 43.3065i 3.78853 + 2.18731i
\(393\) 3.39618 5.88235i 0.171314 0.296725i
\(394\) 10.4976 0.528864
\(395\) 13.3992i 0.674186i
\(396\) 12.6551 7.30645i 0.635945 0.367163i
\(397\) 9.40974 5.43272i 0.472261 0.272660i −0.244925 0.969542i \(-0.578763\pi\)
0.717186 + 0.696882i \(0.245430\pi\)
\(398\) −5.39992 + 3.11764i −0.270673 + 0.156273i
\(399\) 8.58855 14.8758i 0.429965 0.744721i
\(400\) −33.9913 −1.69957
\(401\) −0.281911 + 0.162761i −0.0140780 + 0.00812791i −0.507022 0.861933i \(-0.669254\pi\)
0.492945 + 0.870061i \(0.335921\pi\)
\(402\) −5.64413 −0.281504
\(403\) 20.0728 0.284786i 0.999899 0.0141862i
\(404\) 29.2542 1.45545
\(405\) 11.5590 6.67359i 0.574371 0.331613i
\(406\) 21.4948 1.06677
\(407\) −5.32476 + 9.22276i −0.263939 + 0.457155i
\(408\) 20.2454 11.6887i 1.00230 0.578677i
\(409\) 19.4311 11.2186i 0.960807 0.554722i 0.0643859 0.997925i \(-0.479491\pi\)
0.896421 + 0.443203i \(0.146158\pi\)
\(410\) −58.8692 + 33.9881i −2.90734 + 1.67855i
\(411\) 14.7404i 0.727090i
\(412\) 4.96689 0.244701
\(413\) 16.1701 28.0075i 0.795681 1.37816i
\(414\) 14.9667 + 8.64102i 0.735572 + 0.424683i
\(415\) −4.00443 + 6.93587i −0.196570 + 0.340469i
\(416\) 0.908581 + 0.399646i 0.0445468 + 0.0195943i
\(417\) −5.51489 + 9.55208i −0.270066 + 0.467767i
\(418\) 14.2289 8.21504i 0.695956 0.401811i
\(419\) 18.4900 + 32.0256i 0.903296 + 1.56456i 0.823188 + 0.567769i \(0.192193\pi\)
0.0801086 + 0.996786i \(0.474473\pi\)
\(420\) −28.7754 49.8405i −1.40410 2.43197i
\(421\) −7.45593 + 4.30468i −0.363380 + 0.209797i −0.670562 0.741853i \(-0.733947\pi\)
0.307183 + 0.951651i \(0.400614\pi\)
\(422\) 3.83459 2.21390i 0.186665 0.107771i
\(423\) 10.3576i 0.503605i
\(424\) −34.3959 + 19.8585i −1.67041 + 0.964412i
\(425\) 48.0161 2.32912
\(426\) −8.84723 15.3238i −0.428650 0.742443i
\(427\) 4.68310i 0.226631i
\(428\) −7.99884 + 13.8544i −0.386639 + 0.669678i
\(429\) 4.03973 + 1.77691i 0.195040 + 0.0857899i
\(430\) −80.5554 −3.88473
\(431\) 21.3353i 1.02769i 0.857884 + 0.513843i \(0.171779\pi\)
−0.857884 + 0.513843i \(0.828221\pi\)
\(432\) −8.91489 15.4410i −0.428918 0.742907i
\(433\) −20.5856 + 35.6553i −0.989280 + 1.71348i −0.368171 + 0.929758i \(0.620016\pi\)
−0.621109 + 0.783724i \(0.713318\pi\)
\(434\) 39.1554 55.0065i 1.87952 2.64040i
\(435\) −4.44048 2.56371i −0.212905 0.122921i
\(436\) 3.34973 + 1.93397i 0.160423 + 0.0926202i
\(437\) 11.2445 + 6.49200i 0.537896 + 0.310554i
\(438\) 3.86493 6.69426i 0.184674 0.319864i
\(439\) −8.97950 + 15.5529i −0.428568 + 0.742302i −0.996746 0.0806038i \(-0.974315\pi\)
0.568178 + 0.822906i \(0.307648\pi\)
\(440\) 27.7142i 1.32122i
\(441\) −20.5623 + 35.6150i −0.979158 + 1.69595i
\(442\) −47.7059 20.9838i −2.26914 0.998098i
\(443\) 8.10825 + 14.0439i 0.385235 + 0.667246i 0.991802 0.127786i \(-0.0407872\pi\)
−0.606567 + 0.795032i \(0.707454\pi\)
\(444\) 19.3045 + 11.1454i 0.916149 + 0.528939i
\(445\) −29.1739 + 50.5308i −1.38298 + 2.39539i
\(446\) −18.0618 31.2840i −0.855252 1.48134i
\(447\) 5.60076 3.23360i 0.264907 0.152944i
\(448\) −32.7650 + 18.9169i −1.54800 + 0.893738i
\(449\) 33.2956 + 19.2232i 1.57131 + 0.907199i 0.996008 + 0.0892605i \(0.0284504\pi\)
0.575306 + 0.817938i \(0.304883\pi\)
\(450\) 47.3341i 2.23135i
\(451\) −5.85762 10.1457i −0.275825 0.477742i
\(452\) 18.7000 32.3894i 0.879575 1.52347i
\(453\) 7.10356i 0.333754i
\(454\) −21.2813 36.8602i −0.998779 1.72994i
\(455\) −26.0076 + 59.1273i −1.21926 + 2.77193i
\(456\) −8.65700 14.9944i −0.405401 0.702175i
\(457\) −6.59766 + 3.80916i −0.308626 + 0.178185i −0.646311 0.763074i \(-0.723689\pi\)
0.337686 + 0.941259i \(0.390356\pi\)
\(458\) 51.3473 2.39930
\(459\) 12.5931 + 21.8120i 0.587798 + 1.01810i
\(460\) 37.6739 21.7511i 1.75656 1.01415i
\(461\) 28.1627 + 16.2597i 1.31167 + 0.757291i 0.982372 0.186936i \(-0.0598557\pi\)
0.329295 + 0.944227i \(0.393189\pi\)
\(462\) 12.8548 7.42173i 0.598060 0.345290i
\(463\) 25.7935i 1.19873i −0.800477 0.599363i \(-0.795421\pi\)
0.800477 0.599363i \(-0.204579\pi\)
\(464\) 3.69372 6.39771i 0.171477 0.297006i
\(465\) −14.6496 + 6.69334i −0.679357 + 0.310396i
\(466\) 5.50787 3.17997i 0.255147 0.147309i
\(467\) −3.62846 −0.167905 −0.0839525 0.996470i \(-0.526754\pi\)
−0.0839525 + 0.996470i \(0.526754\pi\)
\(468\) −13.8224 + 31.4246i −0.638939 + 1.45260i
\(469\) 14.2373 0.657416
\(470\) −33.7906 19.5090i −1.55864 0.899883i
\(471\) 11.8543 0.546217
\(472\) −16.2990 28.2307i −0.750224 1.29943i
\(473\) 13.8832i 0.638349i
\(474\) 7.23367i 0.332253i
\(475\) 35.5621i 1.63170i
\(476\) −101.437 + 58.5645i −4.64934 + 2.68430i
\(477\) −9.42897 16.3315i −0.431723 0.747766i
\(478\) −5.90731 + 10.2318i −0.270194 + 0.467989i
\(479\) 18.2535i 0.834024i 0.908901 + 0.417012i \(0.136923\pi\)
−0.908901 + 0.417012i \(0.863077\pi\)
\(480\) −0.796364 −0.0363489
\(481\) −2.72692 24.8700i −0.124337 1.13397i
\(482\) −17.7575 + 30.7569i −0.808831 + 1.40094i
\(483\) 10.1586 + 5.86508i 0.462233 + 0.266870i
\(484\) −34.8191 −1.58269
\(485\) 7.20820 0.327307
\(486\) 33.5282 19.3575i 1.52087 0.878074i
\(487\) 15.0505i 0.682005i 0.940062 + 0.341002i \(0.110766\pi\)
−0.940062 + 0.341002i \(0.889234\pi\)
\(488\) −4.08801 2.36021i −0.185055 0.106842i
\(489\) 1.70701 + 0.985541i 0.0771935 + 0.0445677i
\(490\) 77.4599 + 134.164i 3.49928 + 6.06093i
\(491\) 6.17635 10.6978i 0.278735 0.482783i −0.692336 0.721575i \(-0.743418\pi\)
0.971071 + 0.238793i \(0.0767516\pi\)
\(492\) −21.2363 + 12.2608i −0.957405 + 0.552758i
\(493\) −5.21774 + 9.03739i −0.234995 + 0.407023i
\(494\) −15.5412 + 35.3324i −0.699233 + 1.58968i
\(495\) 13.1589 0.591451
\(496\) −9.64356 21.1066i −0.433009 0.947716i
\(497\) 22.3170 + 38.6543i 1.00106 + 1.73388i
\(498\) −2.16182 + 3.74439i −0.0968737 + 0.167790i
\(499\) 8.44899 + 4.87803i 0.378229 + 0.218370i 0.677047 0.735939i \(-0.263259\pi\)
−0.298819 + 0.954310i \(0.596593\pi\)
\(500\) −39.9259 23.0512i −1.78554 1.03088i
\(501\) 3.84253i 0.171672i
\(502\) 19.1396 + 11.0503i 0.854243 + 0.493197i
\(503\) −12.5776 21.7850i −0.560806 0.971345i −0.997426 0.0716988i \(-0.977158\pi\)
0.436620 0.899646i \(-0.356175\pi\)
\(504\) 29.0659 + 50.3436i 1.29470 + 2.24248i
\(505\) 22.8141 + 13.1717i 1.01521 + 0.586135i
\(506\) 5.61001 + 9.71682i 0.249395 + 0.431966i
\(507\) −10.1218 + 2.24666i −0.449523 + 0.0997776i
\(508\) 11.2735 19.5264i 0.500183 0.866342i
\(509\) −16.5719 9.56781i −0.734538 0.424086i 0.0855421 0.996335i \(-0.472738\pi\)
−0.820080 + 0.572249i \(0.806071\pi\)
\(510\) 41.8138 1.85155
\(511\) −9.74925 + 16.8862i −0.431281 + 0.747001i
\(512\) 40.3530i 1.78337i
\(513\) 16.1546 9.32686i 0.713243 0.411791i
\(514\) 47.9678i 2.11577i
\(515\) 3.87347 + 2.23635i 0.170686 + 0.0985454i
\(516\) −29.0593 −1.27926
\(517\) 3.36224 5.82357i 0.147871 0.256120i
\(518\) −72.8747 42.0742i −3.20193 1.84863i
\(519\) −7.99163 −0.350793
\(520\) 38.5064 + 52.5021i 1.68862 + 2.30237i
\(521\) 4.63805 8.03334i 0.203197 0.351947i −0.746360 0.665543i \(-0.768200\pi\)
0.949557 + 0.313595i \(0.101534\pi\)
\(522\) 8.90903 + 5.14363i 0.389938 + 0.225131i
\(523\) −15.1155 26.1808i −0.660954 1.14481i −0.980365 0.197190i \(-0.936818\pi\)
0.319411 0.947616i \(-0.396515\pi\)
\(524\) 17.1517 + 29.7076i 0.749274 + 1.29778i
\(525\) 32.1280i 1.40218i
\(526\) 55.9636 + 32.3106i 2.44013 + 1.40881i
\(527\) 13.6225 + 29.8152i 0.593404 + 1.29877i
\(528\) 5.10147i 0.222013i
\(529\) 7.06664 12.2398i 0.307245 0.532164i
\(530\) −71.0394 −3.08575
\(531\) 13.4042 7.73892i 0.581693 0.335840i
\(532\) 43.3746 + 75.1270i 1.88053 + 3.25717i
\(533\) 25.1933 + 11.0815i 1.09124 + 0.479991i
\(534\) −15.7498 + 27.2795i −0.681561 + 1.18050i
\(535\) −12.4759 + 7.20298i −0.539381 + 0.311412i
\(536\) 7.17537 12.4281i 0.309929 0.536813i
\(537\) −3.23145 −0.139447
\(538\) −35.9120 + 20.7338i −1.54828 + 0.893899i
\(539\) −23.1223 + 13.3497i −0.995949 + 0.575011i
\(540\) 62.4982i 2.68949i
\(541\) −31.4261 18.1439i −1.35111 0.780065i −0.362707 0.931903i \(-0.618148\pi\)
−0.988405 + 0.151838i \(0.951481\pi\)
\(542\) −14.1796 + 24.5598i −0.609065 + 1.05493i
\(543\) −3.48946 6.04392i −0.149747 0.259369i
\(544\) 1.62078i 0.0694904i
\(545\) 1.74154 + 3.01644i 0.0745994 + 0.129210i
\(546\) −14.0404 + 31.9204i −0.600875 + 1.36607i
\(547\) −3.33533 5.77696i −0.142608 0.247005i 0.785870 0.618392i \(-0.212216\pi\)
−0.928478 + 0.371387i \(0.878882\pi\)
\(548\) −64.4697 37.2216i −2.75401 1.59003i
\(549\) 1.12065 1.94102i 0.0478281 0.0828408i
\(550\) 15.3654 26.6136i 0.655182 1.13481i
\(551\) 6.69336 + 3.86441i 0.285147 + 0.164629i
\(552\) 10.2396 5.91183i 0.435826 0.251624i
\(553\) 18.2469i 0.775935i
\(554\) 39.9240i 1.69621i
\(555\) 10.0365 + 17.3837i 0.426025 + 0.737897i
\(556\) −27.8518 48.2407i −1.18118 2.04586i
\(557\) 2.27566 1.31385i 0.0964228 0.0556697i −0.451013 0.892517i \(-0.648937\pi\)
0.547436 + 0.836848i \(0.315604\pi\)
\(558\) 29.3917 13.4290i 1.24425 0.568494i
\(559\) 19.2894 + 26.3004i 0.815856 + 1.11239i
\(560\) 74.6674 3.15527
\(561\) 7.20632i 0.304251i
\(562\) 0.941892 + 1.63140i 0.0397313 + 0.0688167i
\(563\) 18.2899 0.770826 0.385413 0.922744i \(-0.374059\pi\)
0.385413 + 0.922744i \(0.374059\pi\)
\(564\) −12.1895 7.03761i −0.513271 0.296337i
\(565\) 29.1667 16.8394i 1.22705 0.708440i
\(566\) 56.8910 + 32.8460i 2.39131 + 1.38062i
\(567\) −15.7409 + 9.08802i −0.661056 + 0.381661i
\(568\) 44.9898 1.88773
\(569\) 14.9719 25.9321i 0.627656 1.08713i −0.360365 0.932811i \(-0.617348\pi\)
0.988021 0.154320i \(-0.0493188\pi\)
\(570\) 30.9686i 1.29713i
\(571\) −3.79275 6.56924i −0.158722 0.274914i 0.775686 0.631119i \(-0.217404\pi\)
−0.934408 + 0.356205i \(0.884071\pi\)
\(572\) −17.9725 + 13.1815i −0.751469 + 0.551148i
\(573\) −16.9515 −0.708158
\(574\) 80.1673 46.2846i 3.34612 1.93188i
\(575\) 24.2852 1.01276
\(576\) −18.1070 −0.754456
\(577\) −21.3145 12.3059i −0.887335 0.512303i −0.0142653 0.999898i \(-0.504541\pi\)
−0.873070 + 0.487595i \(0.837874\pi\)
\(578\) 43.3628i 1.80366i
\(579\) 1.50358i 0.0624867i
\(580\) 22.4257 12.9475i 0.931176 0.537615i
\(581\) 5.45318 9.44519i 0.226236 0.391852i
\(582\) 3.89141 0.161304
\(583\) 12.2431i 0.507059i
\(584\) 9.82695 + 17.0208i 0.406642 + 0.704325i
\(585\) −24.9284 + 18.2832i −1.03066 + 0.755917i
\(586\) 8.99406 15.5782i 0.371541 0.643528i
\(587\) 10.2847 5.93790i 0.424497 0.245083i −0.272503 0.962155i \(-0.587851\pi\)
0.696999 + 0.717072i \(0.254518\pi\)
\(588\) 27.9426 + 48.3981i 1.15234 + 1.99590i
\(589\) 22.0820 10.0892i 0.909874 0.415718i
\(590\) 58.3063i 2.40043i
\(591\) 2.95323 + 1.70505i 0.121480 + 0.0701364i
\(592\) −25.0459 + 14.4603i −1.02938 + 0.594313i
\(593\) 5.46819i 0.224552i −0.993677 0.112276i \(-0.964186\pi\)
0.993677 0.112276i \(-0.0358140\pi\)
\(594\) 16.1195 0.661390
\(595\) −105.475 −4.32405
\(596\) 32.6612i 1.33786i
\(597\) −2.02550 −0.0828981
\(598\) −24.1283 10.6130i −0.986681 0.433999i
\(599\) −10.7832 18.6771i −0.440591 0.763126i 0.557142 0.830417i \(-0.311898\pi\)
−0.997733 + 0.0672910i \(0.978564\pi\)
\(600\) −28.0454 16.1920i −1.14495 0.661037i
\(601\) 33.6030 1.37070 0.685348 0.728216i \(-0.259650\pi\)
0.685348 + 0.728216i \(0.259650\pi\)
\(602\) 109.699 4.47101
\(603\) 5.90097 + 3.40693i 0.240306 + 0.138741i
\(604\) −31.0687 17.9375i −1.26417 0.729867i
\(605\) −27.1539 15.6773i −1.10396 0.637374i
\(606\) 12.3164 + 7.11087i 0.500319 + 0.288860i
\(607\) −24.1844 −0.981613 −0.490806 0.871269i \(-0.663298\pi\)
−0.490806 + 0.871269i \(0.663298\pi\)
\(608\) 1.20040 0.0486826
\(609\) 6.04699 + 3.49123i 0.245036 + 0.141472i
\(610\) −4.22158 7.31199i −0.170927 0.296054i
\(611\) 1.72187 + 15.7038i 0.0696596 + 0.635306i
\(612\) −56.0571 −2.26597
\(613\) 9.40367i 0.379811i −0.981802 0.189905i \(-0.939182\pi\)
0.981802 0.189905i \(-0.0608181\pi\)
\(614\) −43.7806 −1.76684
\(615\) −22.0817 −0.890420
\(616\) 37.7409i 1.52062i
\(617\) 18.9821 10.9593i 0.764190 0.441206i −0.0666079 0.997779i \(-0.521218\pi\)
0.830798 + 0.556574i \(0.187884\pi\)
\(618\) 2.09113 + 1.20731i 0.0841175 + 0.0485652i
\(619\) 15.8020i 0.635138i 0.948235 + 0.317569i \(0.102866\pi\)
−0.948235 + 0.317569i \(0.897134\pi\)
\(620\) 7.71775 80.9741i 0.309952 3.25200i
\(621\) 6.36927 + 11.0319i 0.255590 + 0.442695i
\(622\) 23.5300 13.5851i 0.943468 0.544711i
\(623\) 39.7287 68.8122i 1.59170 2.75690i
\(624\) 7.08804 + 9.66427i 0.283749 + 0.386880i
\(625\) −0.368432 0.638142i −0.0147373 0.0255257i
\(626\) 43.7082i 1.74693i
\(627\) 5.33722 0.213148
\(628\) −29.9338 + 51.8468i −1.19449 + 2.06891i
\(629\) 35.3798 20.4265i 1.41068 0.814459i
\(630\) 103.977i 4.14254i
\(631\) 15.9859i 0.636390i −0.948025 0.318195i \(-0.896923\pi\)
0.948025 0.318195i \(-0.103077\pi\)
\(632\) −15.9282 9.19614i −0.633589 0.365803i
\(633\) 1.43835 0.0571691
\(634\) 77.7810 3.08908
\(635\) 17.5835 10.1519i 0.697781 0.402864i
\(636\) −25.6265 −1.01616
\(637\) 25.2550 57.4162i 1.00064 2.27491i
\(638\) 3.33940 + 5.78401i 0.132208 + 0.228991i
\(639\) 21.3616i 0.845050i
\(640\) −35.1037 + 60.8014i −1.38760 + 2.40339i
\(641\) −47.5662 −1.87875 −0.939376 0.342888i \(-0.888595\pi\)
−0.939376 + 0.342888i \(0.888595\pi\)
\(642\) −6.73523 + 3.88859i −0.265818 + 0.153470i
\(643\) −35.9651 20.7644i −1.41832 0.818869i −0.422172 0.906516i \(-0.638732\pi\)
−0.996152 + 0.0876467i \(0.972065\pi\)
\(644\) −51.3039 + 29.6203i −2.02166 + 1.16720i
\(645\) −22.6621 13.0840i −0.892320 0.515181i
\(646\) −63.0281 −2.47981
\(647\) 5.89610 + 10.2123i 0.231799 + 0.401488i 0.958338 0.285638i \(-0.0922053\pi\)
−0.726538 + 0.687126i \(0.758872\pi\)
\(648\) 18.3209i 0.719713i
\(649\) 10.0487 0.394445
\(650\) 7.86894 + 71.7659i 0.308645 + 2.81489i
\(651\) 19.9496 9.11491i 0.781887 0.357241i
\(652\) −8.62087 + 4.97726i −0.337619 + 0.194925i
\(653\) −13.5770 23.5161i −0.531310 0.920255i −0.999332 0.0365389i \(-0.988367\pi\)
0.468023 0.883717i \(-0.344967\pi\)
\(654\) 0.940186 + 1.62845i 0.0367642 + 0.0636774i
\(655\) 30.8902i 1.20698i
\(656\) 31.8146i 1.24215i
\(657\) −8.08161 + 4.66592i −0.315294 + 0.182035i
\(658\) 46.0156 + 26.5671i 1.79387 + 1.03569i
\(659\) −18.6463 + 32.2963i −0.726355 + 1.25808i 0.232059 + 0.972702i \(0.425454\pi\)
−0.958414 + 0.285382i \(0.907880\pi\)
\(660\) 8.94101 15.4863i 0.348028 0.602803i
\(661\) 23.6631 + 13.6619i 0.920387 + 0.531386i 0.883758 0.467943i \(-0.155005\pi\)
0.0366284 + 0.999329i \(0.488338\pi\)
\(662\) 33.2941 + 57.6670i 1.29401 + 2.24129i
\(663\) −10.0125 13.6517i −0.388855 0.530189i
\(664\) −5.49665 9.52047i −0.213311 0.369466i
\(665\) 78.1179i 3.02928i
\(666\) −20.1364 34.8773i −0.780270 1.35147i
\(667\) −2.63899 + 4.57086i −0.102182 + 0.176985i
\(668\) 16.8060 + 9.70294i 0.650243 + 0.375418i
\(669\) 11.7346i 0.453684i
\(670\) 22.2294 12.8342i 0.858799 0.495828i
\(671\) 1.26017 0.727560i 0.0486483 0.0280871i
\(672\) 1.08448 0.0418347
\(673\) 7.59134 13.1486i 0.292625 0.506841i −0.681805 0.731534i \(-0.738805\pi\)
0.974430 + 0.224693i \(0.0721381\pi\)
\(674\) −0.812358 + 0.469015i −0.0312909 + 0.0180658i
\(675\) 17.4449 30.2155i 0.671456 1.16300i
\(676\) 15.7328 49.9425i 0.605106 1.92086i
\(677\) −5.68598 9.84840i −0.218530 0.378505i 0.735829 0.677168i \(-0.236793\pi\)
−0.954359 + 0.298663i \(0.903459\pi\)
\(678\) 15.7459 9.09091i 0.604718 0.349134i
\(679\) −9.81604 −0.376705
\(680\) −53.1578 + 92.0720i −2.03851 + 3.53080i
\(681\) 13.8262i 0.529821i
\(682\) 20.8848 + 1.99055i 0.799719 + 0.0762223i
\(683\) −0.164547 0.0950015i −0.00629623 0.00363513i 0.496849 0.867837i \(-0.334490\pi\)
−0.503145 + 0.864202i \(0.667824\pi\)
\(684\) 41.5176i 1.58746i
\(685\) −33.5182 58.0551i −1.28066 2.21817i
\(686\) −63.0401 109.189i −2.40688 4.16884i
\(687\) 14.4452 + 8.33994i 0.551119 + 0.318188i
\(688\) 18.8510 32.6509i 0.718688 1.24480i
\(689\) 17.0108 + 23.1935i 0.648059 + 0.883604i
\(690\) 21.1483 0.805101
\(691\) 32.0719 + 18.5167i 1.22007 + 0.704410i 0.964934 0.262494i \(-0.0845451\pi\)
0.255140 + 0.966904i \(0.417878\pi\)
\(692\) 20.1800 34.9528i 0.767128 1.32871i
\(693\) −17.9197 −0.680713
\(694\) 29.8698 + 17.2454i 1.13384 + 0.654625i
\(695\) 50.1612i 1.90272i
\(696\) 6.09519 3.51906i 0.231038 0.133390i
\(697\) 44.9413i 1.70227i
\(698\) −7.82093 + 13.5463i −0.296027 + 0.512733i
\(699\) 2.06599 0.0781429
\(700\) 140.517 + 81.1277i 5.31106 + 3.06634i
\(701\) −14.4685 + 25.0601i −0.546466 + 0.946507i 0.452047 + 0.891994i \(0.350694\pi\)
−0.998513 + 0.0545126i \(0.982639\pi\)
\(702\) −30.5369 + 22.3966i −1.15254 + 0.845304i
\(703\) −15.1285 26.2033i −0.570582 0.988277i
\(704\) −10.1806 5.87779i −0.383697 0.221528i
\(705\) −6.33739 10.9767i −0.238680 0.413406i
\(706\) −11.0204 19.0880i −0.414760 0.718385i
\(707\) −31.0680 17.9371i −1.16843 0.674595i
\(708\) 21.0332i 0.790477i
\(709\) 7.58835 + 4.38114i 0.284986 + 0.164537i 0.635679 0.771954i \(-0.280720\pi\)
−0.350692 + 0.936491i \(0.614054\pi\)
\(710\) 69.6897 + 40.2354i 2.61541 + 1.51001i
\(711\) 4.36641 7.56284i 0.163753 0.283629i
\(712\) −40.0454 69.3606i −1.50076 2.59940i
\(713\) 6.88987 + 15.0797i 0.258028 + 0.564740i
\(714\) −56.9416 −2.13098
\(715\) −19.9510 + 2.18757i −0.746126 + 0.0818106i
\(716\) 8.15986 14.1333i 0.304948 0.528186i
\(717\) −3.32373 + 1.91895i −0.124127 + 0.0716647i
\(718\) −16.1266 + 27.9321i −0.601840 + 1.04242i
\(719\) 13.0940 + 22.6794i 0.488322 + 0.845799i 0.999910 0.0134325i \(-0.00427582\pi\)
−0.511588 + 0.859231i \(0.670942\pi\)
\(720\) 30.9476 + 17.8676i 1.15335 + 0.665887i
\(721\) −5.27485 3.04544i −0.196446 0.113418i
\(722\) 0.0323013i 0.00120213i
\(723\) −9.99119 + 5.76842i −0.371576 + 0.214530i
\(724\) 35.2455 1.30989
\(725\) 14.4560 0.536881
\(726\) −14.6593 8.46354i −0.544057 0.314112i
\(727\) 8.35776 14.4761i 0.309972 0.536888i −0.668384 0.743817i \(-0.733014\pi\)
0.978356 + 0.206929i \(0.0663469\pi\)
\(728\) −52.4376 71.4967i −1.94347 2.64984i
\(729\) 1.53674 0.0569161
\(730\) 35.1538i 1.30110i
\(731\) −26.6289 + 46.1226i −0.984905 + 1.70591i
\(732\) −1.52288 2.63770i −0.0562872 0.0974923i
\(733\) 34.8785 20.1371i 1.28827 0.743781i 0.309921 0.950762i \(-0.399697\pi\)
0.978345 + 0.206982i \(0.0663640\pi\)
\(734\) 84.3820i 3.11459i
\(735\) 50.3248i 1.85626i
\(736\) 0.819747i 0.0302163i
\(737\) 2.21188 + 3.83109i 0.0814757 + 0.141120i
\(738\) 44.3030 1.63082
\(739\) 0.986486 + 0.569548i 0.0362885 + 0.0209512i 0.518034 0.855360i \(-0.326664\pi\)
−0.481746 + 0.876311i \(0.659997\pi\)
\(740\) −101.374 −3.72659
\(741\) −10.1109 + 7.41559i −0.371432 + 0.272418i
\(742\) 96.7406 3.55146
\(743\) 25.6749 14.8234i 0.941920 0.543818i 0.0513583 0.998680i \(-0.483645\pi\)
0.890562 + 0.454863i \(0.150312\pi\)
\(744\) 2.09765 22.0083i 0.0769034 0.806865i
\(745\) −14.7057 + 25.4711i −0.538777 + 0.933189i
\(746\) 65.0957i 2.38332i
\(747\) 4.52040 2.60985i 0.165393 0.0954896i
\(748\) −31.5181 18.1970i −1.15242 0.665348i
\(749\) 16.9896 9.80893i 0.620785 0.358410i
\(750\) −11.2062 19.4097i −0.409193 0.708743i
\(751\) −5.36347 −0.195716 −0.0978578 0.995200i \(-0.531199\pi\)
−0.0978578 + 0.995200i \(0.531199\pi\)
\(752\) 15.8149 9.13071i 0.576709 0.332963i
\(753\) 3.58961 + 6.21739i 0.130813 + 0.226574i
\(754\) −14.3626 6.31749i −0.523054 0.230069i
\(755\) −16.1528 27.9774i −0.587859 1.01820i
\(756\) 85.1093i 3.09539i
\(757\) −13.7997 + 23.9017i −0.501557 + 0.868722i 0.498441 + 0.866923i \(0.333906\pi\)
−0.999998 + 0.00179877i \(0.999427\pi\)
\(758\) −2.67908 4.64030i −0.0973086 0.168543i
\(759\) 3.64476i 0.132296i
\(760\) 68.1913 + 39.3702i 2.47356 + 1.42811i
\(761\) −24.9623 + 14.4120i −0.904882 + 0.522434i −0.878781 0.477225i \(-0.841643\pi\)
−0.0261012 + 0.999659i \(0.508309\pi\)
\(762\) 9.49262 5.48057i 0.343881 0.198540i
\(763\) −2.37161 4.10775i −0.0858580 0.148710i
\(764\) 42.8049 74.1403i 1.54863 2.68230i
\(765\) −43.7166 25.2398i −1.58058 0.912546i
\(766\) 13.6726 + 23.6816i