Properties

Label 403.2.v.a.36.9
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 36.9
Character \(\chi\) \(=\) 403.36
Dual form 403.2.v.a.56.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.42222 + 0.821121i) q^{2} +1.94597 q^{3} +(0.348479 - 0.603584i) q^{4} +(3.04464 - 1.75782i) q^{5} +(-2.76760 + 1.59787i) q^{6} +(0.662294 - 0.382376i) q^{7} -2.13991i q^{8} +0.786781 q^{9} +O(q^{10})\) \(q+(-1.42222 + 0.821121i) q^{2} +1.94597 q^{3} +(0.348479 - 0.603584i) q^{4} +(3.04464 - 1.75782i) q^{5} +(-2.76760 + 1.59787i) q^{6} +(0.662294 - 0.382376i) q^{7} -2.13991i q^{8} +0.786781 q^{9} +(-2.88677 + 5.00004i) q^{10} +(1.89398 + 1.09349i) q^{11} +(0.678129 - 1.17455i) q^{12} +(1.03003 - 3.45529i) q^{13} +(-0.627953 + 1.08765i) q^{14} +(5.92477 - 3.42067i) q^{15} +(2.45408 + 4.25060i) q^{16} +(-2.53829 - 4.39644i) q^{17} +(-1.11898 + 0.646042i) q^{18} +(-2.54391 + 1.46873i) q^{19} -2.45026i q^{20} +(1.28880 - 0.744090i) q^{21} -3.59155 q^{22} +(-1.69696 - 2.93922i) q^{23} -4.16419i q^{24} +(3.67990 - 6.37377i) q^{25} +(1.37229 + 5.75997i) q^{26} -4.30685 q^{27} -0.533000i q^{28} +(3.16447 + 5.48102i) q^{29} +(-5.61756 + 9.72990i) q^{30} +(-3.72649 + 4.13682i) q^{31} +(-3.27408 - 1.89029i) q^{32} +(3.68561 + 2.12789i) q^{33} +(7.22003 + 4.16848i) q^{34} +(1.34430 - 2.32839i) q^{35} +(0.274177 - 0.474889i) q^{36} +0.646817i q^{37} +(2.41201 - 4.17772i) q^{38} +(2.00440 - 6.72388i) q^{39} +(-3.76158 - 6.51526i) q^{40} +(9.63700 + 5.56392i) q^{41} +(-1.22198 + 2.11652i) q^{42} +(-0.711571 - 1.23248i) q^{43} +(1.32002 - 0.762117i) q^{44} +(2.39547 - 1.38302i) q^{45} +(4.82691 + 2.78682i) q^{46} +9.64513i q^{47} +(4.77556 + 8.27151i) q^{48} +(-3.20758 + 5.55569i) q^{49} +12.0866i q^{50} +(-4.93942 - 8.55533i) q^{51} +(-1.72662 - 1.82581i) q^{52} +(4.52042 + 7.82959i) q^{53} +(6.12530 - 3.53644i) q^{54} +7.68864 q^{55} +(-0.818249 - 1.41725i) q^{56} +(-4.95037 + 2.85809i) q^{57} +(-9.00116 - 5.19682i) q^{58} +(-3.84098 + 2.21759i) q^{59} -4.76813i q^{60} +(6.19297 - 10.7265i) q^{61} +(1.90306 - 8.94338i) q^{62} +(0.521080 - 0.300846i) q^{63} -3.60771 q^{64} +(-2.93774 - 12.3307i) q^{65} -6.98902 q^{66} +(4.96433 + 2.86616i) q^{67} -3.53817 q^{68} +(-3.30222 - 5.71962i) q^{69} +4.41533i q^{70} +11.4415i q^{71} -1.68364i q^{72} +(-7.07165 + 4.08282i) q^{73} +(-0.531115 - 0.919919i) q^{74} +(7.16095 - 12.4031i) q^{75} +2.04729i q^{76} +1.67249 q^{77} +(2.67042 + 11.2087i) q^{78} +(-3.32012 + 5.75062i) q^{79} +(14.9436 + 8.62770i) q^{80} -10.7413 q^{81} -18.2746 q^{82} +(7.54033 - 4.35341i) q^{83} -1.03720i q^{84} +(-15.4564 - 8.92373i) q^{85} +(2.02403 + 1.16857i) q^{86} +(6.15795 + 10.6659i) q^{87} +(2.33997 - 4.05294i) q^{88} +(4.65782 - 2.68919i) q^{89} +(-2.27126 + 3.93394i) q^{90} +(-0.639039 - 2.68228i) q^{91} -2.36542 q^{92} +(-7.25161 + 8.05011i) q^{93} +(-7.91982 - 13.7175i) q^{94} +(-5.16353 + 8.94350i) q^{95} +(-6.37124 - 3.67844i) q^{96} +(-11.6761 - 6.74117i) q^{97} -10.5352i q^{98} +(1.49015 + 0.860336i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.42222 + 0.821121i −1.00566 + 0.580620i −0.909919 0.414786i \(-0.863857\pi\)
−0.0957446 + 0.995406i \(0.530523\pi\)
\(3\) 1.94597 1.12350 0.561752 0.827306i \(-0.310128\pi\)
0.561752 + 0.827306i \(0.310128\pi\)
\(4\) 0.348479 0.603584i 0.174240 0.301792i
\(5\) 3.04464 1.75782i 1.36161 0.786123i 0.371768 0.928326i \(-0.378752\pi\)
0.989838 + 0.142203i \(0.0454185\pi\)
\(6\) −2.76760 + 1.59787i −1.12987 + 0.652329i
\(7\) 0.662294 0.382376i 0.250324 0.144524i −0.369589 0.929195i \(-0.620501\pi\)
0.619912 + 0.784671i \(0.287168\pi\)
\(8\) 2.13991i 0.756572i
\(9\) 0.786781 0.262260
\(10\) −2.88677 + 5.00004i −0.912878 + 1.58115i
\(11\) 1.89398 + 1.09349i 0.571056 + 0.329699i 0.757571 0.652753i \(-0.226386\pi\)
−0.186515 + 0.982452i \(0.559719\pi\)
\(12\) 0.678129 1.17455i 0.195759 0.339065i
\(13\) 1.03003 3.45529i 0.285678 0.958326i
\(14\) −0.627953 + 1.08765i −0.167828 + 0.290686i
\(15\) 5.92477 3.42067i 1.52977 0.883212i
\(16\) 2.45408 + 4.25060i 0.613521 + 1.06265i
\(17\) −2.53829 4.39644i −0.615625 1.06629i −0.990274 0.139128i \(-0.955570\pi\)
0.374649 0.927167i \(-0.377763\pi\)
\(18\) −1.11898 + 0.646042i −0.263746 + 0.152274i
\(19\) −2.54391 + 1.46873i −0.583614 + 0.336949i −0.762568 0.646908i \(-0.776062\pi\)
0.178955 + 0.983857i \(0.442728\pi\)
\(20\) 2.45026i 0.547896i
\(21\) 1.28880 0.744090i 0.281239 0.162374i
\(22\) −3.59155 −0.765720
\(23\) −1.69696 2.93922i −0.353840 0.612870i 0.633078 0.774088i \(-0.281791\pi\)
−0.986919 + 0.161218i \(0.948458\pi\)
\(24\) 4.16419i 0.850011i
\(25\) 3.67990 6.37377i 0.735979 1.27475i
\(26\) 1.37229 + 5.75997i 0.269127 + 1.12962i
\(27\) −4.30685 −0.828853
\(28\) 0.533000i 0.100728i
\(29\) 3.16447 + 5.48102i 0.587627 + 1.01780i 0.994542 + 0.104334i \(0.0332711\pi\)
−0.406915 + 0.913466i \(0.633396\pi\)
\(30\) −5.61756 + 9.72990i −1.02562 + 1.77643i
\(31\) −3.72649 + 4.13682i −0.669297 + 0.742995i
\(32\) −3.27408 1.89029i −0.578781 0.334159i
\(33\) 3.68561 + 2.12789i 0.641583 + 0.370418i
\(34\) 7.22003 + 4.16848i 1.23822 + 0.714889i
\(35\) 1.34430 2.32839i 0.227228 0.393570i
\(36\) 0.274177 0.474889i 0.0456962 0.0791481i
\(37\) 0.646817i 0.106336i 0.998586 + 0.0531681i \(0.0169319\pi\)
−0.998586 + 0.0531681i \(0.983068\pi\)
\(38\) 2.41201 4.17772i 0.391279 0.677716i
\(39\) 2.00440 6.72388i 0.320960 1.07668i
\(40\) −3.76158 6.51526i −0.594759 1.03015i
\(41\) 9.63700 + 5.56392i 1.50505 + 0.868939i 0.999983 + 0.00585653i \(0.00186420\pi\)
0.505063 + 0.863082i \(0.331469\pi\)
\(42\) −1.22198 + 2.11652i −0.188555 + 0.326587i
\(43\) −0.711571 1.23248i −0.108514 0.187951i 0.806655 0.591023i \(-0.201276\pi\)
−0.915168 + 0.403072i \(0.867942\pi\)
\(44\) 1.32002 0.762117i 0.199001 0.114893i
\(45\) 2.39547 1.38302i 0.357095 0.206169i
\(46\) 4.82691 + 2.78682i 0.711689 + 0.410894i
\(47\) 9.64513i 1.40689i 0.710751 + 0.703443i \(0.248355\pi\)
−0.710751 + 0.703443i \(0.751645\pi\)
\(48\) 4.77556 + 8.27151i 0.689293 + 1.19389i
\(49\) −3.20758 + 5.55569i −0.458225 + 0.793670i
\(50\) 12.0866i 1.70930i
\(51\) −4.93942 8.55533i −0.691657 1.19799i
\(52\) −1.72662 1.82581i −0.239439 0.253194i
\(53\) 4.52042 + 7.82959i 0.620927 + 1.07548i 0.989313 + 0.145804i \(0.0465770\pi\)
−0.368386 + 0.929673i \(0.620090\pi\)
\(54\) 6.12530 3.53644i 0.833548 0.481249i
\(55\) 7.68864 1.03674
\(56\) −0.818249 1.41725i −0.109343 0.189388i
\(57\) −4.95037 + 2.85809i −0.655692 + 0.378564i
\(58\) −9.00116 5.19682i −1.18191 0.682376i
\(59\) −3.84098 + 2.21759i −0.500053 + 0.288706i −0.728735 0.684795i \(-0.759892\pi\)
0.228682 + 0.973501i \(0.426558\pi\)
\(60\) 4.76813i 0.615563i
\(61\) 6.19297 10.7265i 0.792928 1.37339i −0.131218 0.991354i \(-0.541889\pi\)
0.924146 0.382038i \(-0.124778\pi\)
\(62\) 1.90306 8.94338i 0.241689 1.13581i
\(63\) 0.521080 0.300846i 0.0656499 0.0379030i
\(64\) −3.60771 −0.450963
\(65\) −2.93774 12.3307i −0.364381 1.52944i
\(66\) −6.98902 −0.860289
\(67\) 4.96433 + 2.86616i 0.606489 + 0.350157i 0.771590 0.636120i \(-0.219462\pi\)
−0.165101 + 0.986277i \(0.552795\pi\)
\(68\) −3.53817 −0.429066
\(69\) −3.30222 5.71962i −0.397541 0.688561i
\(70\) 4.41533i 0.527732i
\(71\) 11.4415i 1.35786i 0.734202 + 0.678931i \(0.237556\pi\)
−0.734202 + 0.678931i \(0.762444\pi\)
\(72\) 1.68364i 0.198419i
\(73\) −7.07165 + 4.08282i −0.827674 + 0.477858i −0.853056 0.521820i \(-0.825253\pi\)
0.0253816 + 0.999678i \(0.491920\pi\)
\(74\) −0.531115 0.919919i −0.0617409 0.106938i
\(75\) 7.16095 12.4031i 0.826875 1.43219i
\(76\) 2.04729i 0.234840i
\(77\) 1.67249 0.190598
\(78\) 2.67042 + 11.2087i 0.302365 + 1.26914i
\(79\) −3.32012 + 5.75062i −0.373543 + 0.646996i −0.990108 0.140309i \(-0.955191\pi\)
0.616565 + 0.787304i \(0.288524\pi\)
\(80\) 14.9436 + 8.62770i 1.67075 + 0.964606i
\(81\) −10.7413 −1.19348
\(82\) −18.2746 −2.01809
\(83\) 7.54033 4.35341i 0.827658 0.477849i −0.0253919 0.999678i \(-0.508083\pi\)
0.853050 + 0.521829i \(0.174750\pi\)
\(84\) 1.03720i 0.113168i
\(85\) −15.4564 8.92373i −1.67648 0.967915i
\(86\) 2.02403 + 1.16857i 0.218256 + 0.126010i
\(87\) 6.15795 + 10.6659i 0.660201 + 1.14350i
\(88\) 2.33997 4.05294i 0.249441 0.432045i
\(89\) 4.65782 2.68919i 0.493728 0.285054i −0.232392 0.972622i \(-0.574655\pi\)
0.726120 + 0.687568i \(0.241322\pi\)
\(90\) −2.27126 + 3.93394i −0.239412 + 0.414673i
\(91\) −0.639039 2.68228i −0.0669895 0.281179i
\(92\) −2.36542 −0.246612
\(93\) −7.25161 + 8.05011i −0.751957 + 0.834758i
\(94\) −7.91982 13.7175i −0.816867 1.41485i
\(95\) −5.16353 + 8.94350i −0.529767 + 0.917584i
\(96\) −6.37124 3.67844i −0.650262 0.375429i
\(97\) −11.6761 6.74117i −1.18552 0.684462i −0.228238 0.973605i \(-0.573296\pi\)
−0.957286 + 0.289143i \(0.906630\pi\)
\(98\) 10.5352i 1.06422i
\(99\) 1.49015 + 0.860336i 0.149765 + 0.0864670i
\(100\) −2.56474 4.44225i −0.256474 0.444225i
\(101\) −5.24675 9.08763i −0.522071 0.904253i −0.999670 0.0256754i \(-0.991826\pi\)
0.477600 0.878578i \(-0.341507\pi\)
\(102\) 14.0499 + 8.11173i 1.39115 + 0.803180i
\(103\) −7.36686 12.7598i −0.725878 1.25726i −0.958611 0.284718i \(-0.908100\pi\)
0.232733 0.972541i \(-0.425233\pi\)
\(104\) −7.39401 2.20416i −0.725042 0.216136i
\(105\) 2.61596 4.53097i 0.255291 0.442178i
\(106\) −12.8581 7.42362i −1.24889 0.721046i
\(107\) −7.14827 −0.691049 −0.345525 0.938410i \(-0.612299\pi\)
−0.345525 + 0.938410i \(0.612299\pi\)
\(108\) −1.50085 + 2.59954i −0.144419 + 0.250141i
\(109\) 6.16910i 0.590893i 0.955359 + 0.295446i \(0.0954684\pi\)
−0.955359 + 0.295446i \(0.904532\pi\)
\(110\) −10.9350 + 6.31331i −1.04261 + 0.601950i
\(111\) 1.25868i 0.119469i
\(112\) 3.25065 + 1.87676i 0.307157 + 0.177337i
\(113\) 6.75968 0.635898 0.317949 0.948108i \(-0.397006\pi\)
0.317949 + 0.948108i \(0.397006\pi\)
\(114\) 4.69368 8.12970i 0.439604 0.761416i
\(115\) −10.3333 5.96591i −0.963582 0.556324i
\(116\) 4.41101 0.409552
\(117\) 0.810405 2.71856i 0.0749220 0.251331i
\(118\) 3.64182 6.30782i 0.335257 0.580682i
\(119\) −3.36219 1.94116i −0.308211 0.177946i
\(120\) −7.31991 12.6785i −0.668214 1.15738i
\(121\) −3.10857 5.38420i −0.282597 0.489472i
\(122\) 20.3407i 1.84156i
\(123\) 18.7533 + 10.8272i 1.69092 + 0.976256i
\(124\) 1.19832 + 3.69085i 0.107612 + 0.331448i
\(125\) 8.29620i 0.742034i
\(126\) −0.494062 + 0.855740i −0.0440145 + 0.0762354i
\(127\) −11.5718 −1.02683 −0.513416 0.858140i \(-0.671620\pi\)
−0.513416 + 0.858140i \(0.671620\pi\)
\(128\) 11.6791 6.74294i 1.03230 0.595998i
\(129\) −1.38469 2.39836i −0.121915 0.211164i
\(130\) 14.3031 + 15.1248i 1.25447 + 1.32653i
\(131\) 1.87475 3.24716i 0.163798 0.283706i −0.772430 0.635100i \(-0.780959\pi\)
0.936228 + 0.351394i \(0.114292\pi\)
\(132\) 2.56872 1.48305i 0.223579 0.129083i
\(133\) −1.12321 + 1.94546i −0.0973948 + 0.168693i
\(134\) −9.41385 −0.813232
\(135\) −13.1128 + 7.57068i −1.12857 + 0.651581i
\(136\) −9.40799 + 5.43171i −0.806728 + 0.465765i
\(137\) 4.85832i 0.415075i −0.978227 0.207537i \(-0.933455\pi\)
0.978227 0.207537i \(-0.0665448\pi\)
\(138\) 9.39300 + 5.42305i 0.799585 + 0.461641i
\(139\) 0.979118 1.69588i 0.0830477 0.143843i −0.821510 0.570194i \(-0.806868\pi\)
0.904558 + 0.426351i \(0.140201\pi\)
\(140\) −0.936921 1.62279i −0.0791843 0.137151i
\(141\) 18.7691i 1.58064i
\(142\) −9.39490 16.2724i −0.788402 1.36555i
\(143\) 5.72917 5.41792i 0.479097 0.453070i
\(144\) 1.93083 + 3.34429i 0.160902 + 0.278691i
\(145\) 19.2693 + 11.1252i 1.60023 + 0.923894i
\(146\) 6.70498 11.6134i 0.554908 0.961129i
\(147\) −6.24184 + 10.8112i −0.514818 + 0.891691i
\(148\) 0.390409 + 0.225403i 0.0320914 + 0.0185280i
\(149\) 8.51735 4.91749i 0.697768 0.402857i −0.108747 0.994069i \(-0.534684\pi\)
0.806516 + 0.591213i \(0.201351\pi\)
\(150\) 23.5200i 1.92040i
\(151\) 7.82793i 0.637028i −0.947918 0.318514i \(-0.896816\pi\)
0.947918 0.318514i \(-0.103184\pi\)
\(152\) 3.14294 + 5.44374i 0.254926 + 0.441546i
\(153\) −1.99708 3.45904i −0.161454 0.279647i
\(154\) −2.37866 + 1.37332i −0.191678 + 0.110665i
\(155\) −4.07401 + 19.1457i −0.327232 + 1.53782i
\(156\) −3.35994 3.55296i −0.269010 0.284464i
\(157\) −7.20035 −0.574651 −0.287325 0.957833i \(-0.592766\pi\)
−0.287325 + 0.957833i \(0.592766\pi\)
\(158\) 10.9049i 0.867547i
\(159\) 8.79657 + 15.2361i 0.697614 + 1.20830i
\(160\) −13.2912 −1.05076
\(161\) −2.24777 1.29775i −0.177149 0.102277i
\(162\) 15.2766 8.81992i 1.20024 0.692959i
\(163\) 18.9314 + 10.9301i 1.48282 + 0.856108i 0.999810 0.0195047i \(-0.00620892\pi\)
0.483013 + 0.875613i \(0.339542\pi\)
\(164\) 6.71659 3.87783i 0.524478 0.302807i
\(165\) 14.9618 1.16478
\(166\) −7.14935 + 12.3830i −0.554897 + 0.961110i
\(167\) 12.0924i 0.935737i 0.883798 + 0.467869i \(0.154978\pi\)
−0.883798 + 0.467869i \(0.845022\pi\)
\(168\) −1.59228 2.75792i −0.122847 0.212778i
\(169\) −10.8781 7.11809i −0.836776 0.547545i
\(170\) 29.3099 2.24796
\(171\) −2.00150 + 1.15557i −0.153059 + 0.0883685i
\(172\) −0.991872 −0.0756295
\(173\) 3.04503 0.231509 0.115755 0.993278i \(-0.463071\pi\)
0.115755 + 0.993278i \(0.463071\pi\)
\(174\) −17.5159 10.1128i −1.32788 0.766652i
\(175\) 5.62841i 0.425468i
\(176\) 10.7340i 0.809109i
\(177\) −7.47441 + 4.31535i −0.561811 + 0.324362i
\(178\) −4.41631 + 7.64927i −0.331016 + 0.573337i
\(179\) 9.95188 0.743839 0.371919 0.928265i \(-0.378700\pi\)
0.371919 + 0.928265i \(0.378700\pi\)
\(180\) 1.92782i 0.143691i
\(181\) 7.65436 + 13.2577i 0.568944 + 0.985441i 0.996671 + 0.0815323i \(0.0259814\pi\)
−0.427726 + 0.903908i \(0.640685\pi\)
\(182\) 3.11133 + 3.29007i 0.230627 + 0.243876i
\(183\) 12.0513 20.8735i 0.890858 1.54301i
\(184\) −6.28966 + 3.63134i −0.463680 + 0.267706i
\(185\) 1.13699 + 1.96933i 0.0835933 + 0.144788i
\(186\) 3.70330 17.4035i 0.271539 1.27609i
\(187\) 11.1024i 0.811885i
\(188\) 5.82165 + 3.36113i 0.424587 + 0.245136i
\(189\) −2.85240 + 1.64683i −0.207481 + 0.119789i
\(190\) 16.9595i 1.23037i
\(191\) −9.18453 −0.664569 −0.332285 0.943179i \(-0.607819\pi\)
−0.332285 + 0.943179i \(0.607819\pi\)
\(192\) −7.02047 −0.506659
\(193\) 26.5439i 1.91067i −0.295522 0.955336i \(-0.595494\pi\)
0.295522 0.955336i \(-0.404506\pi\)
\(194\) 22.1413 1.58965
\(195\) −5.71673 23.9952i −0.409384 1.71833i
\(196\) 2.23555 + 3.87209i 0.159682 + 0.276578i
\(197\) 3.11560 + 1.79879i 0.221978 + 0.128159i 0.606866 0.794804i \(-0.292427\pi\)
−0.384888 + 0.922963i \(0.625760\pi\)
\(198\) −2.82576 −0.200818
\(199\) 1.90440 0.134999 0.0674997 0.997719i \(-0.478498\pi\)
0.0674997 + 0.997719i \(0.478498\pi\)
\(200\) −13.6393 7.87464i −0.964443 0.556821i
\(201\) 9.66041 + 5.57744i 0.681393 + 0.393402i
\(202\) 14.9241 + 8.61643i 1.05006 + 0.606250i
\(203\) 4.19162 + 2.42003i 0.294194 + 0.169853i
\(204\) −6.88515 −0.482057
\(205\) 39.1216 2.73237
\(206\) 20.9546 + 12.0982i 1.45998 + 0.842919i
\(207\) −1.33514 2.31252i −0.0927983 0.160731i
\(208\) 17.2148 4.10135i 1.19363 0.284377i
\(209\) −6.42415 −0.444368
\(210\) 8.59207i 0.592909i
\(211\) 4.59152 0.316093 0.158047 0.987432i \(-0.449480\pi\)
0.158047 + 0.987432i \(0.449480\pi\)
\(212\) 6.30109 0.432761
\(213\) 22.2649i 1.52556i
\(214\) 10.1664 5.86960i 0.694963 0.401237i
\(215\) −4.33296 2.50163i −0.295505 0.170610i
\(216\) 9.21626i 0.627087i
\(217\) −0.886209 + 4.16471i −0.0601598 + 0.282719i
\(218\) −5.06558 8.77384i −0.343084 0.594240i
\(219\) −13.7612 + 7.94502i −0.929895 + 0.536875i
\(220\) 2.67933 4.64074i 0.180641 0.312879i
\(221\) −17.8055 + 4.24207i −1.19773 + 0.285353i
\(222\) −1.03353 1.79013i −0.0693661 0.120146i
\(223\) 12.7749i 0.855471i −0.903904 0.427735i \(-0.859312\pi\)
0.903904 0.427735i \(-0.140688\pi\)
\(224\) −2.89120 −0.193177
\(225\) 2.89527 5.01476i 0.193018 0.334317i
\(226\) −9.61378 + 5.55052i −0.639499 + 0.369215i
\(227\) 1.03841i 0.0689220i 0.999406 + 0.0344610i \(0.0109714\pi\)
−0.999406 + 0.0344610i \(0.989029\pi\)
\(228\) 3.98395i 0.263844i
\(229\) −3.52659 2.03608i −0.233043 0.134548i 0.378932 0.925425i \(-0.376291\pi\)
−0.611975 + 0.790877i \(0.709625\pi\)
\(230\) 19.5949 1.29205
\(231\) 3.25461 0.214138
\(232\) 11.7289 6.77167i 0.770039 0.444582i
\(233\) −25.7644 −1.68788 −0.843942 0.536434i \(-0.819771\pi\)
−0.843942 + 0.536434i \(0.819771\pi\)
\(234\) 1.07969 + 4.53184i 0.0705814 + 0.296256i
\(235\) 16.9544 + 29.3660i 1.10599 + 1.91562i
\(236\) 3.09114i 0.201216i
\(237\) −6.46085 + 11.1905i −0.419677 + 0.726902i
\(238\) 6.37571 0.413276
\(239\) 21.2865 12.2898i 1.37691 0.794961i 0.385126 0.922864i \(-0.374158\pi\)
0.991787 + 0.127904i \(0.0408248\pi\)
\(240\) 29.0797 + 16.7892i 1.87709 + 1.08374i
\(241\) −18.3526 + 10.5959i −1.18220 + 0.682542i −0.956522 0.291660i \(-0.905792\pi\)
−0.225676 + 0.974202i \(0.572459\pi\)
\(242\) 8.84215 + 5.10502i 0.568395 + 0.328163i
\(243\) −7.98169 −0.512026
\(244\) −4.31624 7.47595i −0.276319 0.478599i
\(245\) 22.5534i 1.44089i
\(246\) −35.5618 −2.26734
\(247\) 2.45459 + 10.3028i 0.156182 + 0.655551i
\(248\) 8.85242 + 7.97434i 0.562129 + 0.506371i
\(249\) 14.6732 8.47158i 0.929877 0.536865i
\(250\) 6.81218 + 11.7990i 0.430840 + 0.746237i
\(251\) 0.204705 + 0.354559i 0.0129209 + 0.0223796i 0.872414 0.488768i \(-0.162554\pi\)
−0.859493 + 0.511148i \(0.829220\pi\)
\(252\) 0.419354i 0.0264168i
\(253\) 7.42242i 0.466644i
\(254\) 16.4577 9.50185i 1.03265 0.596199i
\(255\) −30.0775 17.3653i −1.88353 1.08746i
\(256\) −7.46584 + 12.9312i −0.466615 + 0.808201i
\(257\) 3.98337 6.89941i 0.248476 0.430373i −0.714627 0.699506i \(-0.753404\pi\)
0.963103 + 0.269132i \(0.0867369\pi\)
\(258\) 3.93868 + 2.27400i 0.245212 + 0.141573i
\(259\) 0.247327 + 0.428383i 0.0153682 + 0.0266184i
\(260\) −8.46638 2.52384i −0.525062 0.156522i
\(261\) 2.48974 + 4.31236i 0.154111 + 0.266929i
\(262\) 6.15759i 0.380417i
\(263\) 1.83221 + 3.17348i 0.112979 + 0.195685i 0.916970 0.398956i \(-0.130627\pi\)
−0.803991 + 0.594641i \(0.797294\pi\)
\(264\) 4.55349 7.88688i 0.280248 0.485404i
\(265\) 27.5261 + 15.8922i 1.69091 + 0.976250i
\(266\) 3.68917i 0.226198i
\(267\) 9.06395 5.23308i 0.554705 0.320259i
\(268\) 3.45993 1.99759i 0.211349 0.122022i
\(269\) −18.2127 −1.11045 −0.555225 0.831700i \(-0.687368\pi\)
−0.555225 + 0.831700i \(0.687368\pi\)
\(270\) 12.4329 21.5344i 0.756642 1.31054i
\(271\) −18.9940 + 10.9662i −1.15380 + 0.666149i −0.949811 0.312824i \(-0.898725\pi\)
−0.203992 + 0.978973i \(0.565392\pi\)
\(272\) 12.4583 21.5785i 0.755398 1.30839i
\(273\) −1.24355 5.21962i −0.0752629 0.315906i
\(274\) 3.98927 + 6.90962i 0.241001 + 0.417426i
\(275\) 13.9393 8.04785i 0.840570 0.485303i
\(276\) −4.60303 −0.277070
\(277\) −1.28736 + 2.22977i −0.0773500 + 0.133974i −0.902106 0.431515i \(-0.857979\pi\)
0.824756 + 0.565489i \(0.191313\pi\)
\(278\) 3.21590i 0.192877i
\(279\) −2.93193 + 3.25477i −0.175530 + 0.194858i
\(280\) −4.98255 2.87668i −0.297764 0.171914i
\(281\) 18.1614i 1.08342i −0.840565 0.541710i \(-0.817777\pi\)
0.840565 0.541710i \(-0.182223\pi\)
\(282\) −15.4117 26.6938i −0.917753 1.58959i
\(283\) 0.150093 + 0.259969i 0.00892212 + 0.0154536i 0.870452 0.492253i \(-0.163827\pi\)
−0.861530 + 0.507707i \(0.830493\pi\)
\(284\) 6.90594 + 3.98715i 0.409792 + 0.236594i
\(285\) −10.0481 + 17.4037i −0.595196 + 1.03091i
\(286\) −3.69939 + 12.4098i −0.218749 + 0.733809i
\(287\) 8.51003 0.502331
\(288\) −2.57598 1.48724i −0.151791 0.0876367i
\(289\) −4.38582 + 7.59645i −0.257989 + 0.446850i
\(290\) −36.5404 −2.14573
\(291\) −22.7212 13.1181i −1.33194 0.768996i
\(292\) 5.69111i 0.333047i
\(293\) 9.24601 5.33819i 0.540158 0.311860i −0.204985 0.978765i \(-0.565715\pi\)
0.745143 + 0.666905i \(0.232381\pi\)
\(294\) 20.5012i 1.19565i
\(295\) −7.79627 + 13.5035i −0.453916 + 0.786206i
\(296\) 1.38413 0.0804509
\(297\) −8.15707 4.70949i −0.473321 0.273272i
\(298\) −8.07571 + 13.9875i −0.467814 + 0.810277i
\(299\) −11.9038 + 2.83602i −0.688413 + 0.164011i
\(300\) −4.99089 8.64447i −0.288149 0.499089i
\(301\) −0.942538 0.544175i −0.0543270 0.0313657i
\(302\) 6.42768 + 11.1331i 0.369871 + 0.640636i
\(303\) −10.2100 17.6842i −0.586548 1.01593i
\(304\) −12.4859 7.20876i −0.716118 0.413451i
\(305\) 43.5446i 2.49336i
\(306\) 5.68058 + 3.27968i 0.324737 + 0.187487i
\(307\) 6.28961 + 3.63131i 0.358967 + 0.207250i 0.668627 0.743598i \(-0.266882\pi\)
−0.309661 + 0.950847i \(0.600215\pi\)
\(308\) 0.582829 1.00949i 0.0332098 0.0575210i
\(309\) −14.3357 24.8301i −0.815527 1.41253i
\(310\) −9.92675 30.5746i −0.563801 1.73652i
\(311\) −32.2065 −1.82627 −0.913133 0.407662i \(-0.866344\pi\)
−0.913133 + 0.407662i \(0.866344\pi\)
\(312\) −14.3885 4.28922i −0.814588 0.242830i
\(313\) −10.6100 + 18.3771i −0.599713 + 1.03873i 0.393151 + 0.919474i \(0.371385\pi\)
−0.992863 + 0.119259i \(0.961948\pi\)
\(314\) 10.2405 5.91236i 0.577905 0.333654i
\(315\) 1.05767 1.83194i 0.0595929 0.103218i
\(316\) 2.31399 + 4.00795i 0.130172 + 0.225465i
\(317\) −16.2176 9.36324i −0.910871 0.525892i −0.0301599 0.999545i \(-0.509602\pi\)
−0.880711 + 0.473653i \(0.842935\pi\)
\(318\) −25.0214 14.4461i −1.40313 0.810097i
\(319\) 13.8412i 0.774961i
\(320\) −10.9842 + 6.34171i −0.614034 + 0.354513i
\(321\) −13.9103 −0.776396
\(322\) 4.26244 0.237537
\(323\) 12.9144 + 7.45611i 0.718575 + 0.414869i
\(324\) −3.74313 + 6.48329i −0.207952 + 0.360183i
\(325\) −18.2328 19.2803i −1.01138 1.06948i
\(326\) −35.8996 −1.98830
\(327\) 12.0049i 0.663870i
\(328\) 11.9063 20.6223i 0.657415 1.13868i
\(329\) 3.68806 + 6.38791i 0.203329 + 0.352177i
\(330\) −21.2791 + 12.2855i −1.17137 + 0.676293i
\(331\) 11.7971i 0.648425i 0.945984 + 0.324212i \(0.105099\pi\)
−0.945984 + 0.324212i \(0.894901\pi\)
\(332\) 6.06830i 0.333041i
\(333\) 0.508904i 0.0278878i
\(334\) −9.92932 17.1981i −0.543308 0.941037i
\(335\) 20.1528 1.10107
\(336\) 6.32565 + 3.65212i 0.345092 + 0.199239i
\(337\) 33.5899 1.82976 0.914878 0.403729i \(-0.132286\pi\)
0.914878 + 0.403729i \(0.132286\pi\)
\(338\) 21.3159 + 1.19128i 1.15943 + 0.0647970i
\(339\) 13.1541 0.714433
\(340\) −10.7724 + 6.21948i −0.584218 + 0.337298i
\(341\) −11.5814 + 3.76018i −0.627171 + 0.203625i
\(342\) 1.89772 3.28695i 0.102617 0.177738i
\(343\) 10.2593i 0.553948i
\(344\) −2.63739 + 1.52270i −0.142198 + 0.0820983i
\(345\) −20.1082 11.6095i −1.08259 0.625032i
\(346\) −4.33071 + 2.50033i −0.232820 + 0.134419i
\(347\) −2.12655 3.68329i −0.114159 0.197729i 0.803284 0.595596i \(-0.203084\pi\)
−0.917443 + 0.397867i \(0.869751\pi\)
\(348\) 8.58367 0.460133
\(349\) 3.27069 1.88833i 0.175076 0.101080i −0.409901 0.912130i \(-0.634437\pi\)
0.584977 + 0.811050i \(0.301103\pi\)
\(350\) 4.62160 + 8.00485i 0.247035 + 0.427877i
\(351\) −4.43617 + 14.8814i −0.236785 + 0.794311i
\(352\) −4.13402 7.16033i −0.220344 0.381647i
\(353\) 13.0839i 0.696385i 0.937423 + 0.348193i \(0.113204\pi\)
−0.937423 + 0.348193i \(0.886796\pi\)
\(354\) 7.08686 12.2748i 0.376662 0.652398i
\(355\) 20.1122 + 34.8354i 1.06745 + 1.84887i
\(356\) 3.74851i 0.198671i
\(357\) −6.54270 3.77743i −0.346276 0.199923i
\(358\) −14.1538 + 8.17170i −0.748052 + 0.431888i
\(359\) 4.14056 2.39055i 0.218530 0.126169i −0.386739 0.922189i \(-0.626399\pi\)
0.605270 + 0.796021i \(0.293065\pi\)
\(360\) −2.95954 5.12608i −0.155982 0.270168i
\(361\) −5.18567 + 8.98185i −0.272930 + 0.472729i
\(362\) −21.7724 12.5703i −1.14433 0.660681i
\(363\) −6.04916 10.4775i −0.317499 0.549924i
\(364\) −1.84167 0.549004i −0.0965298 0.0287756i
\(365\) −14.3538 + 24.8614i −0.751310 + 1.30131i
\(366\) 39.5823i 2.06900i
\(367\) 9.20009 15.9350i 0.480241 0.831802i −0.519502 0.854469i \(-0.673883\pi\)
0.999743 + 0.0226675i \(0.00721591\pi\)
\(368\) 8.32896 14.4262i 0.434177 0.752017i
\(369\) 7.58221 + 4.37759i 0.394714 + 0.227888i
\(370\) −3.23411 1.86722i −0.168133 0.0970719i
\(371\) 5.98769 + 3.45699i 0.310865 + 0.179478i
\(372\) 2.33188 + 7.18226i 0.120902 + 0.372383i
\(373\) 14.9737 25.9352i 0.775307 1.34287i −0.159314 0.987228i \(-0.550928\pi\)
0.934622 0.355644i \(-0.115738\pi\)
\(374\) 9.11638 + 15.7900i 0.471397 + 0.816483i
\(375\) 16.1441i 0.833678i
\(376\) 20.6397 1.06441
\(377\) 22.1980 5.28857i 1.14326 0.272375i
\(378\) 2.70450 4.68433i 0.139104 0.240936i
\(379\) 15.2104i 0.781307i −0.920538 0.390654i \(-0.872249\pi\)
0.920538 0.390654i \(-0.127751\pi\)
\(380\) 3.59877 + 6.23326i 0.184613 + 0.319759i
\(381\) −22.5183 −1.15365
\(382\) 13.0624 7.54161i 0.668333 0.385862i
\(383\) 17.8957i 0.914429i −0.889357 0.457214i \(-0.848847\pi\)
0.889357 0.457214i \(-0.151153\pi\)
\(384\) 22.7272 13.1215i 1.15979 0.669605i
\(385\) 5.09214 2.93995i 0.259520 0.149834i
\(386\) 21.7958 + 37.7514i 1.10937 + 1.92149i
\(387\) −0.559851 0.969690i −0.0284588 0.0492921i
\(388\) −8.13773 + 4.69832i −0.413131 + 0.238521i
\(389\) 12.6470 21.9052i 0.641226 1.11064i −0.343933 0.938994i \(-0.611759\pi\)
0.985159 0.171642i \(-0.0549073\pi\)
\(390\) 27.8334 + 29.4324i 1.40940 + 1.49037i
\(391\) −8.61474 + 14.9212i −0.435666 + 0.754596i
\(392\) 11.8887 + 6.86392i 0.600468 + 0.346681i
\(393\) 3.64820 6.31887i 0.184027 0.318745i
\(394\) −5.90811 −0.297646
\(395\) 23.3448i 1.17460i
\(396\) 1.03857 0.599619i 0.0521901 0.0301320i
\(397\) −8.47180 + 4.89120i −0.425188 + 0.245482i −0.697294 0.716785i \(-0.745613\pi\)
0.272107 + 0.962267i \(0.412280\pi\)
\(398\) −2.70848 + 1.56374i −0.135764 + 0.0783834i
\(399\) −2.18573 + 3.78580i −0.109423 + 0.189527i
\(400\) 36.1231 1.80615
\(401\) 26.2667 15.1651i 1.31170 0.757308i 0.329319 0.944219i \(-0.393181\pi\)
0.982377 + 0.186911i \(0.0598476\pi\)
\(402\) −18.3190 −0.913670
\(403\) 10.4556 + 17.1371i 0.520828 + 0.853662i
\(404\) −7.31353 −0.363862
\(405\) −32.7035 + 18.8814i −1.62505 + 0.938222i
\(406\) −7.94855 −0.394480
\(407\) −0.707287 + 1.22506i −0.0350589 + 0.0607238i
\(408\) −18.3076 + 10.5699i −0.906362 + 0.523289i
\(409\) −6.58867 + 3.80397i −0.325789 + 0.188094i −0.653970 0.756521i \(-0.726898\pi\)
0.328181 + 0.944615i \(0.393564\pi\)
\(410\) −55.6397 + 32.1236i −2.74785 + 1.58647i
\(411\) 9.45413i 0.466338i
\(412\) −10.2688 −0.505908
\(413\) −1.69590 + 2.93739i −0.0834500 + 0.144540i
\(414\) 3.79772 + 2.19262i 0.186648 + 0.107761i
\(415\) 15.3051 26.5091i 0.751296 1.30128i
\(416\) −9.90389 + 9.36585i −0.485578 + 0.459198i
\(417\) 1.90533 3.30013i 0.0933044 0.161608i
\(418\) 9.13658 5.27500i 0.446885 0.258009i
\(419\) 6.93413 + 12.0103i 0.338755 + 0.586740i 0.984199 0.177067i \(-0.0566610\pi\)
−0.645444 + 0.763807i \(0.723328\pi\)
\(420\) −1.82322 3.15790i −0.0889638 0.154090i
\(421\) 28.8804 16.6741i 1.40754 0.812645i 0.412392 0.911006i \(-0.364693\pi\)
0.995151 + 0.0983609i \(0.0313600\pi\)
\(422\) −6.53017 + 3.77020i −0.317884 + 0.183530i
\(423\) 7.58860i 0.368971i
\(424\) 16.7546 9.67328i 0.813676 0.469776i
\(425\) −37.3625 −1.81235
\(426\) −18.2821 31.6656i −0.885773 1.53420i
\(427\) 9.47216i 0.458390i
\(428\) −2.49103 + 4.31458i −0.120408 + 0.208553i
\(429\) 11.1488 10.5431i 0.538267 0.509025i
\(430\) 8.21658 0.396239
\(431\) 4.12485i 0.198687i 0.995053 + 0.0993435i \(0.0316743\pi\)
−0.995053 + 0.0993435i \(0.968326\pi\)
\(432\) −10.5694 18.3067i −0.508519 0.880780i
\(433\) 6.00841 10.4069i 0.288746 0.500122i −0.684765 0.728764i \(-0.740095\pi\)
0.973511 + 0.228642i \(0.0734284\pi\)
\(434\) −2.15934 6.65083i −0.103652 0.319250i
\(435\) 37.4975 + 21.6492i 1.79787 + 1.03800i
\(436\) 3.72357 + 2.14981i 0.178327 + 0.102957i
\(437\) 8.63383 + 4.98474i 0.413012 + 0.238453i
\(438\) 13.0477 22.5992i 0.623441 1.07983i
\(439\) −20.1380 + 34.8801i −0.961135 + 1.66473i −0.241477 + 0.970407i \(0.577632\pi\)
−0.719658 + 0.694328i \(0.755702\pi\)
\(440\) 16.4530i 0.784366i
\(441\) −2.52366 + 4.37111i −0.120174 + 0.208148i
\(442\) 21.8401 20.6537i 1.03883 0.982394i
\(443\) 15.8349 + 27.4268i 0.752338 + 1.30309i 0.946687 + 0.322155i \(0.104407\pi\)
−0.194349 + 0.980933i \(0.562259\pi\)
\(444\) 0.759722 + 0.438626i 0.0360548 + 0.0208163i
\(445\) 9.45426 16.3753i 0.448175 0.776262i
\(446\) 10.4897 + 18.1688i 0.496704 + 0.860316i
\(447\) 16.5745 9.56927i 0.783945 0.452611i
\(448\) −2.38936 + 1.37950i −0.112887 + 0.0651752i
\(449\) 13.0308 + 7.52334i 0.614962 + 0.355048i 0.774905 0.632078i \(-0.217798\pi\)
−0.159943 + 0.987126i \(0.551131\pi\)
\(450\) 9.50948i 0.448281i
\(451\) 12.1682 + 21.0759i 0.572977 + 0.992425i
\(452\) 2.35561 4.08004i 0.110799 0.191909i
\(453\) 15.2329i 0.715703i
\(454\) −0.852664 1.47686i −0.0400175 0.0693123i
\(455\) −6.66062 7.04325i −0.312254 0.330193i
\(456\) 6.11606 + 10.5933i 0.286411 + 0.496078i
\(457\) 13.3276 7.69471i 0.623441 0.359944i −0.154767 0.987951i \(-0.549463\pi\)
0.778207 + 0.628007i \(0.216129\pi\)
\(458\) 6.68746 0.312485
\(459\) 10.9320 + 18.9348i 0.510263 + 0.883801i
\(460\) −7.20186 + 4.15800i −0.335789 + 0.193868i
\(461\) −33.5424 19.3657i −1.56222 0.901951i −0.997032 0.0769917i \(-0.975469\pi\)
−0.565193 0.824959i \(-0.691198\pi\)
\(462\) −4.62879 + 2.67243i −0.215351 + 0.124333i
\(463\) 30.0345i 1.39582i 0.716184 + 0.697912i \(0.245887\pi\)
−0.716184 + 0.697912i \(0.754113\pi\)
\(464\) −15.5317 + 26.9018i −0.721043 + 1.24888i
\(465\) −7.92788 + 37.2568i −0.367646 + 1.72774i
\(466\) 36.6428 21.1557i 1.69744 0.980020i
\(467\) 10.5338 0.487446 0.243723 0.969845i \(-0.421631\pi\)
0.243723 + 0.969845i \(0.421631\pi\)
\(468\) −1.35847 1.43651i −0.0627953 0.0664027i
\(469\) 4.38379 0.202425
\(470\) −48.2260 27.8433i −2.22450 1.28432i
\(471\) −14.0116 −0.645622
\(472\) 4.74544 + 8.21935i 0.218427 + 0.378326i
\(473\) 3.11238i 0.143107i
\(474\) 21.2205i 0.974692i
\(475\) 21.6191i 0.991951i
\(476\) −2.34331 + 1.35291i −0.107405 + 0.0620104i
\(477\) 3.55658 + 6.16017i 0.162845 + 0.282055i
\(478\) −20.1828 + 34.9577i −0.923140 + 1.59893i
\(479\) 11.0254i 0.503763i 0.967758 + 0.251882i \(0.0810494\pi\)
−0.967758 + 0.251882i \(0.918951\pi\)
\(480\) −25.8642 −1.18053
\(481\) 2.23494 + 0.666239i 0.101905 + 0.0303779i
\(482\) 17.4010 30.1395i 0.792596 1.37282i
\(483\) −4.37409 2.52538i −0.199028 0.114909i
\(484\) −4.33309 −0.196958
\(485\) −47.3992 −2.15229
\(486\) 11.3517 6.55394i 0.514926 0.297293i
\(487\) 19.3257i 0.875731i −0.899040 0.437866i \(-0.855735\pi\)
0.899040 0.437866i \(-0.144265\pi\)
\(488\) −22.9538 13.2524i −1.03907 0.599907i
\(489\) 36.8399 + 21.2695i 1.66596 + 0.961841i
\(490\) −18.5191 32.0760i −0.836608 1.44905i
\(491\) 7.83941 13.5783i 0.353788 0.612778i −0.633122 0.774052i \(-0.718227\pi\)
0.986910 + 0.161274i \(0.0515603\pi\)
\(492\) 13.0703 7.54612i 0.589253 0.340205i
\(493\) 16.0647 27.8248i 0.723516 1.25317i
\(494\) −11.9508 12.6374i −0.537692 0.568581i
\(495\) 6.04928 0.271895
\(496\) −26.7291 5.68768i −1.20017 0.255385i
\(497\) 4.37497 + 7.57767i 0.196244 + 0.339905i
\(498\) −13.9124 + 24.0970i −0.623429 + 1.07981i
\(499\) 33.4475 + 19.3109i 1.49732 + 0.864476i 0.999995 0.00309113i \(-0.000983939\pi\)
0.497321 + 0.867567i \(0.334317\pi\)
\(500\) −5.00745 2.89105i −0.223940 0.129292i
\(501\) 23.5314i 1.05130i
\(502\) −0.582272 0.336175i −0.0259881 0.0150042i
\(503\) −17.6888 30.6379i −0.788705 1.36608i −0.926760 0.375653i \(-0.877418\pi\)
0.138055 0.990425i \(-0.455915\pi\)
\(504\) −0.643783 1.11506i −0.0286764 0.0496689i
\(505\) −31.9489 18.4457i −1.42171 0.820824i
\(506\) 6.09471 + 10.5563i 0.270943 + 0.469287i
\(507\) −21.1684 13.8515i −0.940121 0.615169i
\(508\) −4.03254 + 6.98456i −0.178915 + 0.309890i
\(509\) 3.99358 + 2.30570i 0.177013 + 0.102198i 0.585888 0.810392i \(-0.300746\pi\)
−0.408876 + 0.912590i \(0.634079\pi\)
\(510\) 57.0360 2.52559
\(511\) −3.12234 + 5.40805i −0.138124 + 0.239238i
\(512\) 2.45034i 0.108291i
\(513\) 10.9562 6.32559i 0.483730 0.279282i
\(514\) 13.0833i 0.577081i
\(515\) −44.8589 25.8993i −1.97672 1.14126i
\(516\) −1.93015 −0.0849700
\(517\) −10.5468 + 18.2677i −0.463849 + 0.803411i
\(518\) −0.703509 0.406171i −0.0309104 0.0178461i
\(519\) 5.92551 0.260101
\(520\) −26.3866 + 6.28649i −1.15713 + 0.275681i
\(521\) 3.86556 6.69534i 0.169353 0.293328i −0.768839 0.639442i \(-0.779165\pi\)
0.938193 + 0.346114i \(0.112499\pi\)
\(522\) −7.08194 4.08876i −0.309968 0.178960i
\(523\) −14.9705 25.9296i −0.654612 1.13382i −0.981991 0.188929i \(-0.939498\pi\)
0.327378 0.944893i \(-0.393835\pi\)
\(524\) −1.30662 2.26314i −0.0570802 0.0988658i
\(525\) 10.9527i 0.478014i
\(526\) −5.21162 3.00893i −0.227237 0.131195i
\(527\) 27.6462 + 5.88284i 1.20429 + 0.256261i
\(528\) 20.8881i 0.909037i
\(529\) 5.74066 9.94311i 0.249594 0.432309i
\(530\) −52.1977 −2.26732
\(531\) −3.02201 + 1.74476i −0.131144 + 0.0757161i
\(532\) 0.782833 + 1.35591i 0.0339401 + 0.0587860i
\(533\) 29.1513 27.5677i 1.26268 1.19409i
\(534\) −8.59398 + 14.8852i −0.371898 + 0.644146i
\(535\) −21.7639 + 12.5654i −0.940936 + 0.543250i
\(536\) 6.13331 10.6232i 0.264919 0.458853i
\(537\) 19.3660 0.835706
\(538\) 25.9026 14.9549i 1.11674 0.644750i
\(539\) −12.1502 + 7.01490i −0.523344 + 0.302153i
\(540\) 10.5529i 0.454125i
\(541\) −10.4107 6.01061i −0.447591 0.258417i 0.259222 0.965818i \(-0.416534\pi\)
−0.706812 + 0.707401i \(0.749867\pi\)
\(542\) 18.0091 31.1927i 0.773559 1.33984i
\(543\) 14.8951 + 25.7991i 0.639211 + 1.10715i
\(544\) 19.1924i 0.822867i
\(545\) 10.8442 + 18.7827i 0.464515 + 0.804563i
\(546\) 6.05454 + 6.40236i 0.259110 + 0.273996i
\(547\) 3.68430 + 6.38139i 0.157529 + 0.272849i 0.933977 0.357333i \(-0.116314\pi\)
−0.776448 + 0.630181i \(0.782981\pi\)
\(548\) −2.93241 1.69303i −0.125266 0.0723225i
\(549\) 4.87251 8.43943i 0.207954 0.360186i
\(550\) −13.2165 + 22.8917i −0.563554 + 0.976104i
\(551\) −16.1003 9.29549i −0.685894 0.396001i
\(552\) −12.2395 + 7.06646i −0.520946 + 0.300768i
\(553\) 5.07814i 0.215944i
\(554\) 4.22831i 0.179644i
\(555\) 2.21255 + 3.83224i 0.0939174 + 0.162670i
\(556\) −0.682405 1.18196i −0.0289404 0.0501263i
\(557\) −20.0830 + 11.5949i −0.850943 + 0.491292i −0.860969 0.508658i \(-0.830142\pi\)
0.0100261 + 0.999950i \(0.496809\pi\)
\(558\) 1.49729 7.03648i 0.0633855 0.297878i
\(559\) −4.99151 + 1.18920i −0.211118 + 0.0502979i
\(560\) 13.1961 0.557636
\(561\) 21.6048i 0.912155i
\(562\) 14.9127 + 25.8296i 0.629056 + 1.08956i
\(563\) 19.9386 0.840310 0.420155 0.907452i \(-0.361976\pi\)
0.420155 + 0.907452i \(0.361976\pi\)
\(564\) 11.3287 + 6.54064i 0.477025 + 0.275411i
\(565\) 20.5808 11.8823i 0.865841 0.499894i
\(566\) −0.426932 0.246489i −0.0179453 0.0103607i
\(567\) −7.11391 + 4.10722i −0.298756 + 0.172487i
\(568\) 24.4839 1.02732
\(569\) −8.69585 + 15.0616i −0.364549 + 0.631417i −0.988704 0.149884i \(-0.952110\pi\)
0.624155 + 0.781301i \(0.285443\pi\)
\(570\) 33.0027i 1.38233i
\(571\) 14.1562 + 24.5192i 0.592417 + 1.02610i 0.993906 + 0.110233i \(0.0351597\pi\)
−0.401488 + 0.915864i \(0.631507\pi\)
\(572\) −1.27367 5.34607i −0.0532550 0.223530i
\(573\) −17.8728 −0.746646
\(574\) −12.1032 + 6.98777i −0.505176 + 0.291664i
\(575\) −24.9785 −1.04168
\(576\) −2.83847 −0.118270
\(577\) −23.9078 13.8032i −0.995294 0.574633i −0.0884412 0.996081i \(-0.528189\pi\)
−0.906852 + 0.421448i \(0.861522\pi\)
\(578\) 14.4051i 0.599175i
\(579\) 51.6535i 2.14665i
\(580\) 13.4299 7.75378i 0.557648 0.321958i
\(581\) 3.32927 5.76647i 0.138122 0.239234i
\(582\) 43.0861 1.78598
\(583\) 19.7721i 0.818876i
\(584\) 8.73686 + 15.1327i 0.361534 + 0.626195i
\(585\) −2.31136 9.70159i −0.0955628 0.401111i
\(586\) −8.76660 + 15.1842i −0.362145 + 0.627253i
\(587\) 38.3953 22.1675i 1.58474 0.914951i 0.590589 0.806973i \(-0.298896\pi\)
0.994153 0.107978i \(-0.0344377\pi\)
\(588\) 4.35030 + 7.53495i 0.179403 + 0.310736i
\(589\) 3.40399 15.9969i 0.140259 0.659141i
\(590\) 25.6067i 1.05421i
\(591\) 6.06286 + 3.50039i 0.249393 + 0.143987i
\(592\) −2.74936 + 1.58734i −0.112998 + 0.0652394i
\(593\) 17.9873i 0.738650i 0.929300 + 0.369325i \(0.120411\pi\)
−0.929300 + 0.369325i \(0.879589\pi\)
\(594\) 15.4682 0.634669
\(595\) −13.6489 −0.559549
\(596\) 6.85458i 0.280775i
\(597\) 3.70590 0.151672
\(598\) 14.6011 13.8079i 0.597084 0.564647i
\(599\) −14.7186 25.4934i −0.601386 1.04163i −0.992611 0.121337i \(-0.961282\pi\)
0.391225 0.920295i \(-0.372051\pi\)
\(600\) −26.5416 15.3238i −1.08355 0.625591i
\(601\) −26.2457 −1.07058 −0.535291 0.844668i \(-0.679798\pi\)
−0.535291 + 0.844668i \(0.679798\pi\)
\(602\) 1.78733 0.0728463
\(603\) 3.90584 + 2.25504i 0.159058 + 0.0918322i
\(604\) −4.72482 2.72787i −0.192250 0.110996i
\(605\) −18.9289 10.9286i −0.769571 0.444312i
\(606\) 29.0418 + 16.7673i 1.17974 + 0.681124i
\(607\) −32.6758 −1.32627 −0.663134 0.748500i \(-0.730774\pi\)
−0.663134 + 0.748500i \(0.730774\pi\)
\(608\) 11.1053 0.450379
\(609\) 8.15674 + 4.70930i 0.330528 + 0.190830i
\(610\) 35.7554 + 61.9302i 1.44769 + 2.50748i
\(611\) 33.3267 + 9.93474i 1.34826 + 0.401917i
\(612\) −2.78376 −0.112527
\(613\) 28.7425i 1.16090i 0.814297 + 0.580449i \(0.197123\pi\)
−0.814297 + 0.580449i \(0.802877\pi\)
\(614\) −11.9270 −0.481333
\(615\) 76.1293 3.06983
\(616\) 3.57898i 0.144201i
\(617\) −38.2449 + 22.0807i −1.53968 + 0.888936i −0.540826 + 0.841135i \(0.681888\pi\)
−0.998857 + 0.0478018i \(0.984778\pi\)
\(618\) 40.7770 + 23.5426i 1.64029 + 0.947023i
\(619\) 27.9922i 1.12510i 0.826763 + 0.562551i \(0.190180\pi\)
−0.826763 + 0.562551i \(0.809820\pi\)
\(620\) 10.1363 + 9.13087i 0.407084 + 0.366705i
\(621\) 7.30854 + 12.6588i 0.293282 + 0.507979i
\(622\) 45.8049 26.4455i 1.83661 1.06037i
\(623\) 2.05656 3.56207i 0.0823945 0.142711i
\(624\) 33.4995 7.98108i 1.34105 0.319499i
\(625\) 3.81622 + 6.60988i 0.152649 + 0.264395i
\(626\) 34.8484i 1.39282i
\(627\) −12.5012 −0.499249
\(628\) −2.50917 + 4.34602i −0.100127 + 0.173425i
\(629\) 2.84370 1.64181i 0.113386 0.0654632i
\(630\) 3.47390i 0.138403i
\(631\) 12.6540i 0.503749i −0.967760 0.251875i \(-0.918953\pi\)
0.967760 0.251875i \(-0.0810471\pi\)
\(632\) 12.3058 + 7.10476i 0.489499 + 0.282612i
\(633\) 8.93494 0.355132
\(634\) 30.7534 1.22137
\(635\) −35.2320 + 20.3412i −1.39814 + 0.807216i
\(636\) 12.2617 0.486208
\(637\) 15.8926 + 16.8056i 0.629689 + 0.665863i
\(638\) −11.3653 19.6853i −0.449958 0.779350i
\(639\) 9.00199i 0.356113i
\(640\) 23.7058 41.0597i 0.937055 1.62303i
\(641\) −29.3031 −1.15740 −0.578701 0.815540i \(-0.696440\pi\)
−0.578701 + 0.815540i \(0.696440\pi\)
\(642\) 19.7835 11.4220i 0.780794 0.450792i
\(643\) −34.8023 20.0931i −1.37247 0.792396i −0.381231 0.924480i \(-0.624500\pi\)
−0.991239 + 0.132084i \(0.957833\pi\)
\(644\) −1.56660 + 0.904480i −0.0617329 + 0.0356415i
\(645\) −8.43179 4.86809i −0.332001 0.191681i
\(646\) −24.4895 −0.963526
\(647\) 21.0222 + 36.4114i 0.826466 + 1.43148i 0.900794 + 0.434248i \(0.142986\pi\)
−0.0743272 + 0.997234i \(0.523681\pi\)
\(648\) 22.9854i 0.902953i
\(649\) −9.69964 −0.380744
\(650\) 41.7626 + 12.4495i 1.63806 + 0.488309i
\(651\) −1.72453 + 8.10438i −0.0675898 + 0.317636i
\(652\) 13.1944 7.61780i 0.516733 0.298336i
\(653\) −4.72058 8.17628i −0.184730 0.319962i 0.758755 0.651376i \(-0.225808\pi\)
−0.943486 + 0.331413i \(0.892475\pi\)
\(654\) −9.85744 17.0736i −0.385457 0.667630i
\(655\) 13.1819i 0.515061i
\(656\) 54.6173i 2.13245i
\(657\) −5.56384 + 3.21228i −0.217066 + 0.125323i
\(658\) −10.4905 6.05669i −0.408962 0.236114i
\(659\) 7.45565 12.9136i 0.290431 0.503041i −0.683481 0.729969i \(-0.739535\pi\)
0.973912 + 0.226927i \(0.0728680\pi\)
\(660\) 5.21389 9.03073i 0.202950 0.351521i
\(661\) −1.24886 0.721031i −0.0485751 0.0280449i 0.475516 0.879707i \(-0.342261\pi\)
−0.524091 + 0.851662i \(0.675595\pi\)
\(662\) −9.68681 16.7780i −0.376489 0.652097i
\(663\) −34.6489 + 8.25493i −1.34565 + 0.320595i
\(664\) −9.31590 16.1356i −0.361527 0.626183i
\(665\) 7.89764i 0.306257i
\(666\) −0.417872 0.723775i −0.0161922 0.0280457i
\(667\) 10.7399 18.6021i 0.415852 0.720278i
\(668\) 7.29878 + 4.21395i 0.282398 + 0.163043i
\(669\) 24.8595i 0.961125i
\(670\) −28.6618 + 16.5479i −1.10730 + 0.639301i
\(671\) 23.4587 13.5439i 0.905612 0.522855i
\(672\) −5.62618 −0.217035
\(673\) 0.0593252 0.102754i 0.00228682 0.00396089i −0.864880 0.501979i \(-0.832605\pi\)
0.867167 + 0.498018i \(0.165939\pi\)
\(674\) −47.7723 + 27.5813i −1.84012 + 1.06239i
\(675\) −15.8487 + 27.4508i −0.610019 + 1.05658i
\(676\) −8.08716 + 4.08534i −0.311044 + 0.157128i
\(677\) −13.8639 24.0130i −0.532834 0.922895i −0.999265 0.0383378i \(-0.987794\pi\)
0.466431 0.884558i \(-0.345540\pi\)
\(678\) −18.7081 + 10.8011i −0.718480 + 0.414814i
\(679\) −10.3106 −0.395686
\(680\) −19.0960 + 33.0752i −0.732297 + 1.26838i
\(681\) 2.02072i 0.0774341i
\(682\) 13.3838 14.8576i 0.512494 0.568926i
\(683\) 27.7400 + 16.0157i 1.06144 + 0.612824i 0.925831 0.377938i \(-0.123367\pi\)
0.135612 + 0.990762i \(0.456700\pi\)
\(684\) 1.61077i 0.0615892i
\(685\) −8.54008 14.7919i −0.326300 0.565168i
\(686\) −8.42409 14.5910i −0.321633 0.557085i
\(687\) −6.86262 3.96213i −0.261825 0.151165i
\(688\) 3.49251 6.04920i 0.133151 0.230624i
\(689\) 31.7097 7.55467i 1.20804 0.287810i
\(690\) 38.1311 1.45163
\(691\) −11.0969 6.40680i −0.422146 0.243726i 0.273849 0.961773i \(-0.411703\pi\)
−0.695995 + 0.718047i \(0.745036\pi\)
\(692\) 1.06113 1.83793i 0.0403381 0.0698676i
\(693\) 1.31589 0.0499864
\(694\) 6.04886 + 3.49231i 0.229611 + 0.132566i
\(695\) 6.88447i 0.261143i
\(696\) 22.8240 13.1774i 0.865142 0.499490i
\(697\) 56.4914i 2.13976i
\(698\) −3.10110 + 5.37126i −0.117378 + 0.203305i
\(699\) −50.1367 −1.89634
\(700\) −3.39722 1.96138i −0.128403 0.0741334i
\(701\) 21.5770 37.3725i 0.814953 1.41154i −0.0944079 0.995534i \(-0.530096\pi\)
0.909361 0.416007i \(-0.136571\pi\)
\(702\) −5.91022 24.8073i −0.223067 0.936292i
\(703\) −0.949999 1.64545i −0.0358299 0.0620592i
\(704\) −6.83291 3.94498i −0.257525 0.148682i
\(705\) 32.9928 + 57.1451i 1.24258 + 2.15221i
\(706\) −10.7435 18.6082i −0.404335 0.700329i
\(707\) −6.94978 4.01245i −0.261373 0.150904i
\(708\) 6.01525i 0.226067i
\(709\) −16.9545 9.78869i −0.636740 0.367622i 0.146618 0.989193i \(-0.453161\pi\)
−0.783358 + 0.621571i \(0.786495\pi\)
\(710\) −57.2082 33.0292i −2.14699 1.23956i
\(711\) −2.61221 + 4.52448i −0.0979655 + 0.169681i
\(712\) −5.75463 9.96731i −0.215664 0.373541i
\(713\) 18.4827 + 3.93294i 0.692184 + 0.147290i
\(714\) 12.4069 0.464317
\(715\) 7.91951 26.5665i 0.296173 0.993531i
\(716\) 3.46803 6.00680i 0.129606 0.224485i
\(717\) 41.4229 23.9155i 1.54697 0.893141i
\(718\) −3.92587 + 6.79980i −0.146512 + 0.253766i
\(719\) 12.1758 + 21.0891i 0.454081 + 0.786492i 0.998635 0.0522342i \(-0.0166342\pi\)
−0.544554 + 0.838726i \(0.683301\pi\)
\(720\) 11.7573 + 6.78811i 0.438170 + 0.252978i
\(721\) −9.75806 5.63382i −0.363409 0.209814i
\(722\) 17.0323i 0.633875i
\(723\) −35.7136 + 20.6193i −1.32820 + 0.766839i
\(724\) 10.6696 0.396531
\(725\) 46.5797 1.72992
\(726\) 17.2065 + 9.93419i 0.638594 + 0.368692i
\(727\) −10.5335 + 18.2446i −0.390667 + 0.676655i −0.992538 0.121939i \(-0.961089\pi\)
0.601871 + 0.798593i \(0.294422\pi\)
\(728\) −5.73983 + 1.36749i −0.212732 + 0.0506824i
\(729\) 16.6919 0.618217
\(730\) 47.1447i 1.74490i
\(731\) −3.61235 + 6.25677i −0.133607 + 0.231415i
\(732\) −8.39926 14.5479i −0.310446 0.537708i
\(733\) −42.4405 + 24.5030i −1.56757 + 0.905039i −0.571123 + 0.820864i \(0.693492\pi\)
−0.996451 + 0.0841753i \(0.973174\pi\)
\(734\) 30.2176i 1.11535i
\(735\) 43.8882i 1.61884i
\(736\) 12.8310i 0.472956i
\(737\) 6.26822 + 10.8569i 0.230893 + 0.399918i
\(738\) −14.3781 −0.529266
\(739\) −37.7967 21.8219i −1.39037 0.802732i −0.397017 0.917811i \(-0.629955\pi\)
−0.993356 + 0.115079i \(0.963288\pi\)
\(740\) 1.58487 0.0582611
\(741\) 4.77654 + 20.0489i 0.175471 + 0.736514i
\(742\) −11.3544 −0.416835
\(743\) 30.3631 17.5302i 1.11392 0.643120i 0.174075 0.984732i \(-0.444307\pi\)
0.939841 + 0.341613i \(0.110973\pi\)
\(744\) 17.2265 + 15.5178i 0.631554 + 0.568910i
\(745\) 17.2882 29.9440i 0.633390 1.09706i
\(746\) 49.1808i 1.80064i
\(747\) 5.93259 3.42518i 0.217062 0.125321i
\(748\) −6.70121 3.86894i −0.245020 0.141463i
\(749\) −4.73426 + 2.73332i −0.172986 + 0.0998735i
\(750\) 13.2563 + 22.9605i 0.484051 + 0.838400i
\(751\) −21.1598 −0.772132 −0.386066 0.922471i \(-0.626166\pi\)
−0.386066 + 0.922471i \(0.626166\pi\)
\(752\) −40.9975 + 23.6699i −1.49503 + 0.863154i
\(753\) 0.398348 + 0.689960i 0.0145166 + 0.0251435i
\(754\) −27.2280 + 25.7488i −0.991585 + 0.937715i
\(755\) −13.7601 23.8333i −0.500783 0.867381i
\(756\) 2.29555i 0.0834884i
\(757\) 5.56215 9.63393i 0.202160 0.350151i −0.747064 0.664752i \(-0.768537\pi\)
0.949224 + 0.314601i \(0.101871\pi\)
\(758\) 12.4896 + 21.6326i 0.453643 + 0.785732i
\(759\) 14.4438i 0.524276i
\(760\) 19.1383 + 11.0495i 0.694218 + 0.400807i
\(761\) 45.4057 26.2150i 1.64595 0.950292i 0.667298 0.744791i \(-0.267451\pi\)
0.978657 0.205501i \(-0.0658825\pi\)
\(762\) 32.0261 18.4903i 1.16018 0.669832i
\(763\) 2.35891 + 4.08576i 0.0853984 + 0.147914i
\(764\) −3.20062 + 5.54364i −0.115794 + 0.200562i
\(765\) −12.1608 7.02102i −0.439674 0.253846i
\(766\)