Properties

Label 403.2.l.c.25.1
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

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

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.1
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.34

$q$-expansion

\(f(q)\) \(=\) \(q-2.78624i q^{2} +(-0.733304 - 1.27012i) q^{3} -5.76313 q^{4} +(0.320386 + 0.184975i) q^{5} +(-3.53886 + 2.04316i) q^{6} +(-1.80035 + 1.03943i) q^{7} +10.4850i q^{8} +(0.424529 - 0.735307i) q^{9} +O(q^{10})\) \(q-2.78624i q^{2} +(-0.733304 - 1.27012i) q^{3} -5.76313 q^{4} +(0.320386 + 0.184975i) q^{5} +(-3.53886 + 2.04316i) q^{6} +(-1.80035 + 1.03943i) q^{7} +10.4850i q^{8} +(0.424529 - 0.735307i) q^{9} +(0.515384 - 0.892671i) q^{10} +(-4.78145 - 2.76057i) q^{11} +(4.22613 + 7.31986i) q^{12} +(2.58940 + 2.50899i) q^{13} +(2.89611 + 5.01620i) q^{14} -0.542571i q^{15} +17.6874 q^{16} +(0.636298 + 1.10210i) q^{17} +(-2.04874 - 1.18284i) q^{18} +(-2.95960 + 1.70872i) q^{19} +(-1.84642 - 1.06603i) q^{20} +(2.64041 + 1.52444i) q^{21} +(-7.69161 + 13.3223i) q^{22} -1.54968 q^{23} +(13.3172 - 7.68867i) q^{24} +(-2.43157 - 4.21160i) q^{25} +(6.99064 - 7.21468i) q^{26} -5.64506 q^{27} +(10.3756 - 5.99038i) q^{28} +7.86454 q^{29} -1.51173 q^{30} +(-5.56079 - 0.278682i) q^{31} -28.3113i q^{32} +8.09735i q^{33} +(3.07071 - 1.77288i) q^{34} -0.769075 q^{35} +(-2.44662 + 4.23766i) q^{36} +(-5.45523 + 3.14958i) q^{37} +(4.76091 + 8.24614i) q^{38} +(1.28790 - 5.12870i) q^{39} +(-1.93945 + 3.35923i) q^{40} +(-6.28772 - 3.63022i) q^{41} +(4.24745 - 7.35681i) q^{42} +(-0.941034 - 1.62992i) q^{43} +(27.5561 + 15.9095i) q^{44} +(0.272026 - 0.157055i) q^{45} +4.31778i q^{46} +3.48083i q^{47} +(-12.9702 - 22.4651i) q^{48} +(-1.33916 + 2.31950i) q^{49} +(-11.7345 + 6.77493i) q^{50} +(0.933200 - 1.61635i) q^{51} +(-14.9230 - 14.4596i) q^{52} +(4.04350 - 7.00354i) q^{53} +15.7285i q^{54} +(-1.02127 - 1.76889i) q^{55} +(-10.8984 - 18.8766i) q^{56} +(4.34057 + 2.50603i) q^{57} -21.9125i q^{58} +(-5.40488 + 3.12051i) q^{59} +3.12691i q^{60} -7.49845 q^{61} +(-0.776474 + 15.4937i) q^{62} +1.76508i q^{63} -43.5073 q^{64} +(0.365506 + 1.28282i) q^{65} +22.5612 q^{66} +(4.07817 + 2.35453i) q^{67} +(-3.66706 - 6.35154i) q^{68} +(1.13639 + 1.96828i) q^{69} +2.14283i q^{70} +(10.5396 + 6.08504i) q^{71} +(7.70966 + 4.45118i) q^{72} +(-5.44259 - 3.14228i) q^{73} +(8.77547 + 15.1996i) q^{74} +(-3.56616 + 6.17677i) q^{75} +(17.0565 - 9.84759i) q^{76} +11.4777 q^{77} +(-14.2898 - 3.58840i) q^{78} +(0.918313 + 1.59057i) q^{79} +(5.66678 + 3.27172i) q^{80} +(2.86596 + 4.96399i) q^{81} +(-10.1146 + 17.5191i) q^{82} +(2.28067 + 1.31674i) q^{83} +(-15.2170 - 8.78554i) q^{84} +0.470796i q^{85} +(-4.54134 + 2.62195i) q^{86} +(-5.76710 - 9.98891i) q^{87} +(28.9445 - 50.1333i) q^{88} +0.124209i q^{89} +(-0.437591 - 0.757930i) q^{90} +(-7.26974 - 1.82555i) q^{91} +8.93099 q^{92} +(3.72379 + 7.26723i) q^{93} +9.69842 q^{94} -1.26428 q^{95} +(-35.9587 + 20.7608i) q^{96} -13.0719i q^{97} +(6.46267 + 3.73122i) q^{98} +(-4.05973 + 2.34389i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

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

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.78624i 1.97017i −0.172074 0.985084i \(-0.555047\pi\)
0.172074 0.985084i \(-0.444953\pi\)
\(3\) −0.733304 1.27012i −0.423373 0.733304i 0.572894 0.819630i \(-0.305821\pi\)
−0.996267 + 0.0863255i \(0.972488\pi\)
\(4\) −5.76313 −2.88156
\(5\) 0.320386 + 0.184975i 0.143281 + 0.0827232i 0.569927 0.821696i \(-0.306972\pi\)
−0.426646 + 0.904419i \(0.640305\pi\)
\(6\) −3.53886 + 2.04316i −1.44473 + 0.834117i
\(7\) −1.80035 + 1.03943i −0.680468 + 0.392868i −0.800031 0.599958i \(-0.795184\pi\)
0.119563 + 0.992827i \(0.461851\pi\)
\(8\) 10.4850i 3.70700i
\(9\) 0.424529 0.735307i 0.141510 0.245102i
\(10\) 0.515384 0.892671i 0.162979 0.282287i
\(11\) −4.78145 2.76057i −1.44166 0.832343i −0.443700 0.896175i \(-0.646335\pi\)
−0.997961 + 0.0638319i \(0.979668\pi\)
\(12\) 4.22613 + 7.31986i 1.21998 + 2.11306i
\(13\) 2.58940 + 2.50899i 0.718169 + 0.695868i
\(14\) 2.89611 + 5.01620i 0.774017 + 1.34064i
\(15\) 0.542571i 0.140091i
\(16\) 17.6874 4.42184
\(17\) 0.636298 + 1.10210i 0.154325 + 0.267299i 0.932813 0.360361i \(-0.117346\pi\)
−0.778488 + 0.627659i \(0.784013\pi\)
\(18\) −2.04874 1.18284i −0.482893 0.278798i
\(19\) −2.95960 + 1.70872i −0.678978 + 0.392008i −0.799470 0.600706i \(-0.794886\pi\)
0.120492 + 0.992714i \(0.461553\pi\)
\(20\) −1.84642 1.06603i −0.412873 0.238372i
\(21\) 2.64041 + 1.52444i 0.576184 + 0.332660i
\(22\) −7.69161 + 13.3223i −1.63986 + 2.84031i
\(23\) −1.54968 −0.323130 −0.161565 0.986862i \(-0.551654\pi\)
−0.161565 + 0.986862i \(0.551654\pi\)
\(24\) 13.3172 7.68867i 2.71836 1.56944i
\(25\) −2.43157 4.21160i −0.486314 0.842320i
\(26\) 6.99064 7.21468i 1.37098 1.41491i
\(27\) −5.64506 −1.08639
\(28\) 10.3756 5.99038i 1.96081 1.13208i
\(29\) 7.86454 1.46041 0.730204 0.683229i \(-0.239425\pi\)
0.730204 + 0.683229i \(0.239425\pi\)
\(30\) −1.51173 −0.276003
\(31\) −5.56079 0.278682i −0.998747 0.0500527i
\(32\) 28.3113i 5.00478i
\(33\) 8.09735i 1.40957i
\(34\) 3.07071 1.77288i 0.526623 0.304046i
\(35\) −0.769075 −0.129997
\(36\) −2.44662 + 4.23766i −0.407769 + 0.706277i
\(37\) −5.45523 + 3.14958i −0.896834 + 0.517787i −0.876172 0.481999i \(-0.839911\pi\)
−0.0206622 + 0.999787i \(0.506577\pi\)
\(38\) 4.76091 + 8.24614i 0.772322 + 1.33770i
\(39\) 1.28790 5.12870i 0.206229 0.821249i
\(40\) −1.93945 + 3.35923i −0.306655 + 0.531142i
\(41\) −6.28772 3.63022i −0.981977 0.566945i −0.0791104 0.996866i \(-0.525208\pi\)
−0.902866 + 0.429921i \(0.858541\pi\)
\(42\) 4.24745 7.35681i 0.655396 1.13518i
\(43\) −0.941034 1.62992i −0.143506 0.248560i 0.785308 0.619105i \(-0.212504\pi\)
−0.928815 + 0.370544i \(0.879171\pi\)
\(44\) 27.5561 + 15.9095i 4.15424 + 2.39845i
\(45\) 0.272026 0.157055i 0.0405513 0.0234123i
\(46\) 4.31778i 0.636621i
\(47\) 3.48083i 0.507731i 0.967240 + 0.253865i \(0.0817020\pi\)
−0.967240 + 0.253865i \(0.918298\pi\)
\(48\) −12.9702 22.4651i −1.87209 3.24256i
\(49\) −1.33916 + 2.31950i −0.191309 + 0.331356i
\(50\) −11.7345 + 6.77493i −1.65951 + 0.958120i
\(51\) 0.933200 1.61635i 0.130674 0.226334i
\(52\) −14.9230 14.4596i −2.06945 2.00519i
\(53\) 4.04350 7.00354i 0.555417 0.962011i −0.442454 0.896791i \(-0.645892\pi\)
0.997871 0.0652195i \(-0.0207748\pi\)
\(54\) 15.7285i 2.14038i
\(55\) −1.02127 1.76889i −0.137708 0.238518i
\(56\) −10.8984 18.8766i −1.45636 2.52249i
\(57\) 4.34057 + 2.50603i 0.574922 + 0.331932i
\(58\) 21.9125i 2.87725i
\(59\) −5.40488 + 3.12051i −0.703655 + 0.406255i −0.808707 0.588211i \(-0.799832\pi\)
0.105052 + 0.994467i \(0.466499\pi\)
\(60\) 3.12691i 0.403682i
\(61\) −7.49845 −0.960078 −0.480039 0.877247i \(-0.659377\pi\)
−0.480039 + 0.877247i \(0.659377\pi\)
\(62\) −0.776474 + 15.4937i −0.0986123 + 1.96770i
\(63\) 1.76508i 0.222379i
\(64\) −43.5073 −5.43841
\(65\) 0.365506 + 1.28282i 0.0453354 + 0.159114i
\(66\) 22.5612 2.77709
\(67\) 4.07817 + 2.35453i 0.498227 + 0.287652i 0.727981 0.685597i \(-0.240459\pi\)
−0.229754 + 0.973249i \(0.573792\pi\)
\(68\) −3.66706 6.35154i −0.444697 0.770237i
\(69\) 1.13639 + 1.96828i 0.136805 + 0.236953i
\(70\) 2.14283i 0.256117i
\(71\) 10.5396 + 6.08504i 1.25082 + 0.722162i 0.971272 0.237970i \(-0.0764820\pi\)
0.279548 + 0.960132i \(0.409815\pi\)
\(72\) 7.70966 + 4.45118i 0.908593 + 0.524576i
\(73\) −5.44259 3.14228i −0.637007 0.367776i 0.146453 0.989218i \(-0.453214\pi\)
−0.783461 + 0.621441i \(0.786547\pi\)
\(74\) 8.77547 + 15.1996i 1.02013 + 1.76691i
\(75\) −3.56616 + 6.17677i −0.411785 + 0.713232i
\(76\) 17.0565 9.84759i 1.95652 1.12960i
\(77\) 11.4777 1.30801
\(78\) −14.2898 3.58840i −1.61800 0.406307i
\(79\) 0.918313 + 1.59057i 0.103318 + 0.178953i 0.913050 0.407848i \(-0.133721\pi\)
−0.809732 + 0.586800i \(0.800387\pi\)
\(80\) 5.66678 + 3.27172i 0.633565 + 0.365789i
\(81\) 2.86596 + 4.96399i 0.318440 + 0.551554i
\(82\) −10.1146 + 17.5191i −1.11698 + 1.93466i
\(83\) 2.28067 + 1.31674i 0.250336 + 0.144531i 0.619918 0.784667i \(-0.287166\pi\)
−0.369582 + 0.929198i \(0.620499\pi\)
\(84\) −15.2170 8.78554i −1.66031 0.958581i
\(85\) 0.470796i 0.0510650i
\(86\) −4.54134 + 2.62195i −0.489706 + 0.282732i
\(87\) −5.76710 9.98891i −0.618298 1.07092i
\(88\) 28.9445 50.1333i 3.08549 5.34423i
\(89\) 0.124209i 0.0131661i 0.999978 + 0.00658305i \(0.00209546\pi\)
−0.999978 + 0.00658305i \(0.997905\pi\)
\(90\) −0.437591 0.757930i −0.0461262 0.0798929i
\(91\) −7.26974 1.82555i −0.762076 0.191370i
\(92\) 8.93099 0.931121
\(93\) 3.72379 + 7.26723i 0.386139 + 0.753576i
\(94\) 9.69842 1.00032
\(95\) −1.26428 −0.129713
\(96\) −35.9587 + 20.7608i −3.67002 + 2.11889i
\(97\) 13.0719i 1.32725i −0.748066 0.663625i \(-0.769017\pi\)
0.748066 0.663625i \(-0.230983\pi\)
\(98\) 6.46267 + 3.73122i 0.652828 + 0.376910i
\(99\) −4.05973 + 2.34389i −0.408018 + 0.235570i
\(100\) 14.0134 + 24.2720i 1.40134 + 2.42720i
\(101\) −9.14693 −0.910153 −0.455077 0.890452i \(-0.650388\pi\)
−0.455077 + 0.890452i \(0.650388\pi\)
\(102\) −4.50354 2.60012i −0.445916 0.257450i
\(103\) 2.27833 3.94618i 0.224490 0.388828i −0.731676 0.681652i \(-0.761262\pi\)
0.956166 + 0.292824i \(0.0945950\pi\)
\(104\) −26.3067 + 27.1497i −2.57958 + 2.66225i
\(105\) 0.563966 + 0.976818i 0.0550375 + 0.0953277i
\(106\) −19.5135 11.2662i −1.89532 1.09427i
\(107\) −4.96963 8.60766i −0.480433 0.832134i 0.519315 0.854583i \(-0.326187\pi\)
−0.999748 + 0.0224490i \(0.992854\pi\)
\(108\) 32.5332 3.13051
\(109\) 11.4243i 1.09425i −0.837050 0.547126i \(-0.815722\pi\)
0.837050 0.547126i \(-0.184278\pi\)
\(110\) −4.92856 + 2.84551i −0.469920 + 0.271308i
\(111\) 8.00068 + 4.61920i 0.759391 + 0.438435i
\(112\) −31.8434 + 18.3848i −3.00892 + 1.73720i
\(113\) −0.769512 + 1.33283i −0.0723896 + 0.125382i −0.899948 0.435997i \(-0.856396\pi\)
0.827559 + 0.561379i \(0.189729\pi\)
\(114\) 6.98239 12.0939i 0.653961 1.13269i
\(115\) −0.496495 0.286652i −0.0462984 0.0267304i
\(116\) −45.3243 −4.20826
\(117\) 2.94415 0.838861i 0.272187 0.0775527i
\(118\) 8.69448 + 15.0593i 0.800391 + 1.38632i
\(119\) −2.29112 1.32278i −0.210026 0.121259i
\(120\) 5.68884 0.519318
\(121\) 9.74150 + 16.8728i 0.885591 + 1.53389i
\(122\) 20.8925i 1.89151i
\(123\) 10.6482i 0.960117i
\(124\) 32.0475 + 1.60608i 2.87795 + 0.144230i
\(125\) 3.64886i 0.326364i
\(126\) 4.91793 0.438124
\(127\) 1.62957 + 2.82250i 0.144601 + 0.250457i 0.929224 0.369517i \(-0.120477\pi\)
−0.784623 + 0.619973i \(0.787143\pi\)
\(128\) 64.5991i 5.70981i
\(129\) −1.38013 + 2.39045i −0.121514 + 0.210468i
\(130\) 3.57424 1.01839i 0.313481 0.0893184i
\(131\) −7.34666 12.7248i −0.641881 1.11177i −0.985013 0.172483i \(-0.944821\pi\)
0.343132 0.939287i \(-0.388512\pi\)
\(132\) 46.6661i 4.06176i
\(133\) 3.55220 6.15260i 0.308015 0.533498i
\(134\) 6.56028 11.3627i 0.566722 0.981592i
\(135\) −1.80860 1.04419i −0.155659 0.0898700i
\(136\) −11.5555 + 6.67156i −0.990874 + 0.572082i
\(137\) −12.5870 7.26708i −1.07538 0.620869i −0.145731 0.989324i \(-0.546553\pi\)
−0.929645 + 0.368456i \(0.879887\pi\)
\(138\) 5.48409 3.16624i 0.466837 0.269529i
\(139\) −15.4092 −1.30699 −0.653496 0.756930i \(-0.726699\pi\)
−0.653496 + 0.756930i \(0.726699\pi\)
\(140\) 4.43228 0.374596
\(141\) 4.42107 2.55251i 0.372321 0.214960i
\(142\) 16.9544 29.3658i 1.42278 2.46433i
\(143\) −5.45482 19.1448i −0.456155 1.60097i
\(144\) 7.50881 13.0056i 0.625734 1.08380i
\(145\) 2.51969 + 1.45474i 0.209249 + 0.120810i
\(146\) −8.75515 + 15.1644i −0.724581 + 1.25501i
\(147\) 3.92805 0.323980
\(148\) 31.4392 18.1514i 2.58428 1.49204i
\(149\) −5.13320 + 2.96366i −0.420528 + 0.242792i −0.695303 0.718716i \(-0.744730\pi\)
0.274775 + 0.961509i \(0.411397\pi\)
\(150\) 17.2100 + 9.93617i 1.40519 + 0.811285i
\(151\) 8.51368i 0.692833i −0.938081 0.346417i \(-0.887398\pi\)
0.938081 0.346417i \(-0.112602\pi\)
\(152\) −17.9159 31.0313i −1.45317 2.51697i
\(153\) 1.08051 0.0873539
\(154\) 31.9796i 2.57699i
\(155\) −1.73005 1.11789i −0.138961 0.0897912i
\(156\) −7.42234 + 29.5573i −0.594263 + 2.36648i
\(157\) −13.4300 −1.07183 −0.535916 0.844271i \(-0.680034\pi\)
−0.535916 + 0.844271i \(0.680034\pi\)
\(158\) 4.43170 2.55864i 0.352567 0.203554i
\(159\) −11.8605 −0.940596
\(160\) 5.23688 9.07053i 0.414011 0.717089i
\(161\) 2.78996 1.61079i 0.219880 0.126948i
\(162\) 13.8309 7.98525i 1.08666 0.627381i
\(163\) 22.7283i 1.78022i −0.455750 0.890108i \(-0.650629\pi\)
0.455750 0.890108i \(-0.349371\pi\)
\(164\) 36.2369 + 20.9214i 2.82963 + 1.63369i
\(165\) −1.49781 + 2.59428i −0.116604 + 0.201964i
\(166\) 3.66876 6.35448i 0.284751 0.493203i
\(167\) 15.0659 8.69828i 1.16583 0.673093i 0.213137 0.977022i \(-0.431632\pi\)
0.952695 + 0.303929i \(0.0982985\pi\)
\(168\) −15.9837 + 27.6846i −1.23317 + 2.13591i
\(169\) 0.409948 + 12.9935i 0.0315344 + 0.999503i
\(170\) 1.31175 0.100607
\(171\) 2.90161i 0.221892i
\(172\) 5.42330 + 9.39343i 0.413523 + 0.716242i
\(173\) 5.16767 8.95066i 0.392891 0.680506i −0.599939 0.800046i \(-0.704808\pi\)
0.992829 + 0.119539i \(0.0381418\pi\)
\(174\) −27.8315 + 16.0685i −2.10990 + 1.21815i
\(175\) 8.75535 + 5.05490i 0.661842 + 0.382115i
\(176\) −84.5712 48.8272i −6.37480 3.68049i
\(177\) 7.92684 + 4.57656i 0.595818 + 0.343995i
\(178\) 0.346075 0.0259394
\(179\) 12.6124 + 21.8454i 0.942699 + 1.63280i 0.760295 + 0.649578i \(0.225055\pi\)
0.182404 + 0.983224i \(0.441612\pi\)
\(180\) −1.56772 + 0.905125i −0.116851 + 0.0674640i
\(181\) 2.24429 3.88723i 0.166817 0.288935i −0.770482 0.637462i \(-0.779984\pi\)
0.937299 + 0.348526i \(0.113318\pi\)
\(182\) −5.08643 + 20.2552i −0.377031 + 1.50142i
\(183\) 5.49864 + 9.52393i 0.406471 + 0.704029i
\(184\) 16.2483i 1.19784i
\(185\) −2.33037 −0.171332
\(186\) 20.2482 10.3754i 1.48467 0.760759i
\(187\) 7.02618i 0.513805i
\(188\) 20.0604i 1.46306i
\(189\) 10.1631 5.86766i 0.739256 0.426810i
\(190\) 3.52259i 0.255556i
\(191\) 1.61189 2.79187i 0.116632 0.202013i −0.801799 0.597594i \(-0.796123\pi\)
0.918431 + 0.395581i \(0.129457\pi\)
\(192\) 31.9041 + 55.2595i 2.30248 + 3.98801i
\(193\) 6.11036 3.52782i 0.439834 0.253938i −0.263693 0.964607i \(-0.584941\pi\)
0.703527 + 0.710668i \(0.251607\pi\)
\(194\) −36.4214 −2.61490
\(195\) 1.36131 1.40493i 0.0974851 0.100609i
\(196\) 7.71775 13.3675i 0.551268 0.954825i
\(197\) 3.21793 + 1.85787i 0.229268 + 0.132368i 0.610234 0.792221i \(-0.291075\pi\)
−0.380966 + 0.924589i \(0.624409\pi\)
\(198\) 6.53063 + 11.3114i 0.464112 + 0.803865i
\(199\) 4.06524 7.04119i 0.288177 0.499137i −0.685198 0.728357i \(-0.740284\pi\)
0.973375 + 0.229220i \(0.0736176\pi\)
\(200\) 44.1585 25.4949i 3.12248 1.80276i
\(201\) 6.90635i 0.487136i
\(202\) 25.4855i 1.79315i
\(203\) −14.1589 + 8.17466i −0.993761 + 0.573748i
\(204\) −5.37815 + 9.31522i −0.376546 + 0.652196i
\(205\) −1.34300 2.32614i −0.0937990 0.162465i
\(206\) −10.9950 6.34796i −0.766057 0.442283i
\(207\) −0.657884 + 1.13949i −0.0457261 + 0.0792000i
\(208\) 45.7996 + 44.3774i 3.17563 + 3.07702i
\(209\) 18.8682 1.30514
\(210\) 2.72165 1.57134i 0.187812 0.108433i
\(211\) −8.17487 14.1593i −0.562781 0.974765i −0.997252 0.0740796i \(-0.976398\pi\)
0.434471 0.900686i \(-0.356935\pi\)
\(212\) −23.3032 + 40.3623i −1.60047 + 2.77209i
\(213\) 17.8488i 1.22298i
\(214\) −23.9830 + 13.8466i −1.63944 + 0.946533i
\(215\) 0.696271i 0.0474853i
\(216\) 59.1883i 4.02725i
\(217\) 10.3010 5.27834i 0.699279 0.358317i
\(218\) −31.8309 −2.15586
\(219\) 9.21700i 0.622827i
\(220\) 5.88572 + 10.1944i 0.396815 + 0.687304i
\(221\) −1.11753 + 4.45024i −0.0751732 + 0.299355i
\(222\) 12.8702 22.2918i 0.863790 1.49613i
\(223\) −1.42474 + 0.822572i −0.0954075 + 0.0550835i −0.546945 0.837169i \(-0.684209\pi\)
0.451537 + 0.892252i \(0.350876\pi\)
\(224\) 29.4277 + 50.9702i 1.96622 + 3.40559i
\(225\) −4.12909 −0.275273
\(226\) 3.71359 + 2.14404i 0.247024 + 0.142620i
\(227\) 14.0069 + 8.08689i 0.929671 + 0.536746i 0.886707 0.462331i \(-0.152987\pi\)
0.0429633 + 0.999077i \(0.486320\pi\)
\(228\) −25.0152 14.4426i −1.65668 0.956482i
\(229\) −9.67936 + 5.58838i −0.639630 + 0.369291i −0.784472 0.620164i \(-0.787066\pi\)
0.144842 + 0.989455i \(0.453733\pi\)
\(230\) −0.798680 + 1.38335i −0.0526634 + 0.0912156i
\(231\) −8.41665 14.5781i −0.553775 0.959166i
\(232\) 82.4594i 5.41373i
\(233\) 10.1486 0.664855 0.332428 0.943129i \(-0.392132\pi\)
0.332428 + 0.943129i \(0.392132\pi\)
\(234\) −2.33727 8.20311i −0.152792 0.536254i
\(235\) −0.643865 + 1.11521i −0.0420012 + 0.0727481i
\(236\) 31.1490 17.9839i 2.02763 1.17065i
\(237\) 1.34681 2.33274i 0.0874845 0.151528i
\(238\) −3.68557 + 6.38360i −0.238900 + 0.413787i
\(239\) −4.09106 2.36198i −0.264629 0.152783i 0.361815 0.932250i \(-0.382157\pi\)
−0.626444 + 0.779466i \(0.715490\pi\)
\(240\) 9.59666i 0.619462i
\(241\) 16.3744 9.45377i 1.05477 0.608971i 0.130788 0.991410i \(-0.458249\pi\)
0.923981 + 0.382439i \(0.124916\pi\)
\(242\) 47.0116 27.1421i 3.02202 1.74476i
\(243\) −4.26435 + 7.38607i −0.273558 + 0.473817i
\(244\) 43.2145 2.76652
\(245\) −0.858096 + 0.495422i −0.0548218 + 0.0316514i
\(246\) 29.6685 1.89159
\(247\) −11.9507 3.00103i −0.760407 0.190951i
\(248\) 2.92197 58.3046i 0.185545 3.70235i
\(249\) 3.86229i 0.244763i
\(250\) −10.1666 −0.642993
\(251\) 7.83434 + 13.5695i 0.494499 + 0.856497i 0.999980 0.00634041i \(-0.00201823\pi\)
−0.505481 + 0.862838i \(0.668685\pi\)
\(252\) 10.1724i 0.640799i
\(253\) 7.40971 + 4.27800i 0.465844 + 0.268955i
\(254\) 7.86417 4.54038i 0.493442 0.284889i
\(255\) 0.597968 0.345237i 0.0374462 0.0216196i
\(256\) 92.9739 5.81087
\(257\) −5.65234 + 9.79015i −0.352584 + 0.610693i −0.986701 0.162544i \(-0.948030\pi\)
0.634118 + 0.773236i \(0.281363\pi\)
\(258\) 6.66038 + 3.84537i 0.414657 + 0.239402i
\(259\) 6.54754 11.3407i 0.406845 0.704675i
\(260\) −2.10646 7.39304i −0.130637 0.458497i
\(261\) 3.33873 5.78285i 0.206662 0.357949i
\(262\) −35.4543 + 20.4695i −2.19037 + 1.26461i
\(263\) 19.1111 1.17844 0.589219 0.807973i \(-0.299435\pi\)
0.589219 + 0.807973i \(0.299435\pi\)
\(264\) −84.9005 −5.22526
\(265\) 2.59096 1.49589i 0.159161 0.0918918i
\(266\) −17.1426 9.89729i −1.05108 0.606842i
\(267\) 0.157760 0.0910828i 0.00965476 0.00557418i
\(268\) −23.5030 13.5695i −1.43567 0.828886i
\(269\) −11.3425 + 19.6459i −0.691567 + 1.19783i 0.279758 + 0.960071i \(0.409746\pi\)
−0.971324 + 0.237758i \(0.923587\pi\)
\(270\) −2.90938 + 5.03919i −0.177059 + 0.306675i
\(271\) 12.1423i 0.737594i 0.929510 + 0.368797i \(0.120230\pi\)
−0.929510 + 0.368797i \(0.879770\pi\)
\(272\) 11.2544 + 19.4932i 0.682400 + 1.18195i
\(273\) 3.01226 + 10.5721i 0.182310 + 0.639855i
\(274\) −20.2478 + 35.0703i −1.22322 + 2.11867i
\(275\) 26.8501i 1.61912i
\(276\) −6.54914 11.3434i −0.394212 0.682795i
\(277\) −6.64328 −0.399156 −0.199578 0.979882i \(-0.563957\pi\)
−0.199578 + 0.979882i \(0.563957\pi\)
\(278\) 42.9338i 2.57500i
\(279\) −2.56563 + 3.97057i −0.153600 + 0.237712i
\(280\) 8.06373i 0.481900i
\(281\) 2.43439i 0.145224i −0.997360 0.0726119i \(-0.976867\pi\)
0.997360 0.0726119i \(-0.0231334\pi\)
\(282\) −7.11189 12.3182i −0.423507 0.733536i
\(283\) −30.5642 −1.81685 −0.908426 0.418046i \(-0.862715\pi\)
−0.908426 + 0.418046i \(0.862715\pi\)
\(284\) −60.7410 35.0689i −3.60432 2.08095i
\(285\) 0.927104 + 1.60579i 0.0549169 + 0.0951189i
\(286\) −53.3420 + 15.1984i −3.15418 + 0.898703i
\(287\) 15.0935 0.890938
\(288\) −20.8175 12.0190i −1.22668 0.708225i
\(289\) 7.69025 13.3199i 0.452368 0.783524i
\(290\) 4.05326 7.02045i 0.238016 0.412255i
\(291\) −16.6029 + 9.58568i −0.973278 + 0.561922i
\(292\) 31.3663 + 18.1094i 1.83558 + 1.05977i
\(293\) −4.47667 + 2.58461i −0.261530 + 0.150994i −0.625032 0.780599i \(-0.714914\pi\)
0.363502 + 0.931593i \(0.381581\pi\)
\(294\) 10.9445i 0.638296i
\(295\) −2.30886 −0.134427
\(296\) −33.0232 57.1979i −1.91943 3.32456i
\(297\) 26.9916 + 15.5836i 1.56621 + 0.904252i
\(298\) 8.25745 + 14.3023i 0.478341 + 0.828511i
\(299\) −4.01273 3.88813i −0.232062 0.224856i
\(300\) 20.5522 35.5975i 1.18658 2.05522i
\(301\) 3.38838 + 1.95628i 0.195303 + 0.112758i
\(302\) −23.7211 −1.36500
\(303\) 6.70748 + 11.6177i 0.385335 + 0.667419i
\(304\) −52.3475 + 30.2228i −3.00233 + 1.73340i
\(305\) −2.40240 1.38702i −0.137561 0.0794208i
\(306\) 3.01055i 0.172102i
\(307\) 22.3990 12.9321i 1.27838 0.738072i 0.301829 0.953362i \(-0.402403\pi\)
0.976550 + 0.215290i \(0.0690696\pi\)
\(308\) −66.1474 −3.76910
\(309\) −6.68283 −0.380173
\(310\) −3.11471 + 4.82033i −0.176904 + 0.273776i
\(311\) 15.9722 0.905699 0.452850 0.891587i \(-0.350407\pi\)
0.452850 + 0.891587i \(0.350407\pi\)
\(312\) 53.7742 + 13.5036i 3.04437 + 0.764492i
\(313\) 12.1674 + 21.0746i 0.687742 + 1.19120i 0.972566 + 0.232625i \(0.0747315\pi\)
−0.284824 + 0.958580i \(0.591935\pi\)
\(314\) 37.4192i 2.11169i
\(315\) −0.326495 + 0.565506i −0.0183959 + 0.0318627i
\(316\) −5.29236 9.16663i −0.297718 0.515663i
\(317\) −1.81447 + 1.04759i −0.101911 + 0.0588383i −0.550089 0.835106i \(-0.685406\pi\)
0.448178 + 0.893944i \(0.352073\pi\)
\(318\) 33.0461i 1.85313i
\(319\) −37.6039 21.7106i −2.10541 1.21556i
\(320\) −13.9391 8.04775i −0.779220 0.449883i
\(321\) −7.28851 + 12.6241i −0.406805 + 0.704607i
\(322\) −4.48803 7.77350i −0.250108 0.433200i
\(323\) −3.76637 2.17451i −0.209566 0.120993i
\(324\) −16.5169 28.6081i −0.917605 1.58934i
\(325\) 4.27056 17.0063i 0.236888 0.943339i
\(326\) −63.3264 −3.50732
\(327\) −14.5103 + 8.37751i −0.802420 + 0.463277i
\(328\) 38.0627 65.9265i 2.10166 3.64018i
\(329\) −3.61808 6.26671i −0.199471 0.345495i
\(330\) 7.22827 + 4.17325i 0.397903 + 0.229730i
\(331\) −3.09815 1.78872i −0.170290 0.0983167i 0.412433 0.910988i \(-0.364679\pi\)
−0.582722 + 0.812671i \(0.698012\pi\)
\(332\) −13.1438 7.58856i −0.721358 0.416476i
\(333\) 5.34835i 0.293088i
\(334\) −24.2355 41.9771i −1.32611 2.29689i
\(335\) 0.871058 + 1.50872i 0.0475910 + 0.0824300i
\(336\) 46.7019 + 26.9633i 2.54780 + 1.47097i
\(337\) 35.4569 1.93146 0.965731 0.259545i \(-0.0835725\pi\)
0.965731 + 0.259545i \(0.0835725\pi\)
\(338\) 36.2031 1.14221i 1.96919 0.0621282i
\(339\) 2.25715 0.122591
\(340\) 2.71326i 0.147147i
\(341\) 25.8193 + 16.6834i 1.39819 + 0.903459i
\(342\) 8.08459 0.437165
\(343\) 20.1199i 1.08637i
\(344\) 17.0896 9.86671i 0.921412 0.531978i
\(345\) 0.840811i 0.0452678i
\(346\) −24.9387 14.3984i −1.34071 0.774060i
\(347\) 1.41228 + 2.44613i 0.0758150 + 0.131315i 0.901440 0.432903i \(-0.142511\pi\)
−0.825625 + 0.564219i \(0.809177\pi\)
\(348\) 33.2365 + 57.5674i 1.78167 + 3.08593i
\(349\) 15.8371i 0.847738i 0.905723 + 0.423869i \(0.139328\pi\)
−0.905723 + 0.423869i \(0.860672\pi\)
\(350\) 14.0842 24.3945i 0.752830 1.30394i
\(351\) −14.6173 14.1634i −0.780214 0.755986i
\(352\) −78.1553 + 135.369i −4.16569 + 7.21519i
\(353\) −3.73218 + 2.15478i −0.198644 + 0.114687i −0.596023 0.802967i \(-0.703253\pi\)
0.397379 + 0.917655i \(0.369920\pi\)
\(354\) 12.7514 22.0861i 0.677729 1.17386i
\(355\) 2.25116 + 3.89912i 0.119479 + 0.206944i
\(356\) 0.715830i 0.0379389i
\(357\) 3.87999i 0.205351i
\(358\) 60.8665 35.1413i 3.21689 1.85727i
\(359\) −15.6794 9.05251i −0.827528 0.477773i 0.0254777 0.999675i \(-0.491889\pi\)
−0.853005 + 0.521902i \(0.825223\pi\)
\(360\) 1.64671 + 2.85219i 0.0867893 + 0.150323i
\(361\) −3.66053 + 6.34022i −0.192659 + 0.333696i
\(362\) −10.8307 6.25313i −0.569251 0.328657i
\(363\) 14.2870 24.7458i 0.749871 1.29882i
\(364\) 41.8964 + 10.5209i 2.19597 + 0.551445i
\(365\) −1.16249 2.01349i −0.0608473 0.105391i
\(366\) 26.5359 15.3205i 1.38706 0.800817i
\(367\) 5.82136 10.0829i 0.303873 0.526323i −0.673137 0.739518i \(-0.735054\pi\)
0.977010 + 0.213195i \(0.0683869\pi\)
\(368\) −27.4097 −1.42883
\(369\) −5.33864 + 3.08227i −0.277919 + 0.160456i
\(370\) 6.49297i 0.337553i
\(371\) 16.8118i 0.872824i
\(372\) −21.4607 41.8819i −1.11268 2.17148i
\(373\) −14.0754 −0.728795 −0.364398 0.931243i \(-0.618725\pi\)
−0.364398 + 0.931243i \(0.618725\pi\)
\(374\) −19.5766 −1.01228
\(375\) −4.63450 + 2.67573i −0.239324 + 0.138174i
\(376\) −36.4964 −1.88216
\(377\) 20.3644 + 19.7320i 1.04882 + 1.01625i
\(378\) −16.3487 28.3168i −0.840887 1.45646i
\(379\) 6.69489 3.86530i 0.343893 0.198547i −0.318099 0.948058i \(-0.603044\pi\)
0.661992 + 0.749511i \(0.269711\pi\)
\(380\) 7.28622 0.373775
\(381\) 2.38995 4.13951i 0.122441 0.212074i
\(382\) −7.77882 4.49110i −0.397999 0.229785i
\(383\) 2.32662 + 1.34327i 0.118885 + 0.0686380i 0.558263 0.829664i \(-0.311468\pi\)
−0.439379 + 0.898302i \(0.644801\pi\)
\(384\) 82.0486 47.3708i 4.18702 2.41738i
\(385\) 3.67729 + 2.12309i 0.187412 + 0.108202i
\(386\) −9.82935 17.0249i −0.500301 0.866546i
\(387\) −1.59799 −0.0812303
\(388\) 75.3350i 3.82455i
\(389\) 15.7230 + 27.2331i 0.797189 + 1.38077i 0.921440 + 0.388520i \(0.127014\pi\)
−0.124252 + 0.992251i \(0.539653\pi\)
\(390\) −3.91448 3.79292i −0.198217 0.192062i
\(391\) −0.986057 1.70790i −0.0498671 0.0863723i
\(392\) −24.3198 14.0411i −1.22834 0.709181i
\(393\) −10.7747 + 18.6623i −0.543510 + 0.941388i
\(394\) 5.17647 8.96591i 0.260787 0.451696i
\(395\) 0.679459i 0.0341873i
\(396\) 23.3967 13.5081i 1.17573 0.678808i
\(397\) −13.8604 + 8.00228i −0.695631 + 0.401623i −0.805718 0.592299i \(-0.798220\pi\)
0.110087 + 0.993922i \(0.464887\pi\)
\(398\) −19.6184 11.3267i −0.983384 0.567757i
\(399\) −10.4194 −0.521622
\(400\) −43.0080 74.4921i −2.15040 3.72461i
\(401\) 28.6933i 1.43287i −0.697651 0.716437i \(-0.745772\pi\)
0.697651 0.716437i \(-0.254228\pi\)
\(402\) −19.2427 −0.959740
\(403\) −13.6999 14.6736i −0.682439 0.730942i
\(404\) 52.7149 2.62266
\(405\) 2.12052i 0.105370i
\(406\) 22.7765 + 39.4501i 1.13038 + 1.95788i
\(407\) 34.7785 1.72391
\(408\) 16.9474 + 9.78457i 0.839020 + 0.484408i
\(409\) −25.4882 + 14.7156i −1.26031 + 0.727640i −0.973134 0.230238i \(-0.926050\pi\)
−0.287176 + 0.957878i \(0.592716\pi\)
\(410\) −6.48118 + 3.74191i −0.320083 + 0.184800i
\(411\) 21.3159i 1.05144i
\(412\) −13.1303 + 22.7423i −0.646883 + 1.12043i
\(413\) 6.48711 11.2360i 0.319210 0.552888i
\(414\) 3.17489 + 1.83302i 0.156037 + 0.0900882i
\(415\) 0.487129 + 0.843732i 0.0239122 + 0.0414172i
\(416\) 71.0327 73.3092i 3.48267 3.59428i
\(417\) 11.2996 + 19.5716i 0.553346 + 0.958423i
\(418\) 52.5713i 2.57135i
\(419\) −27.2862 −1.33302 −0.666508 0.745498i \(-0.732212\pi\)
−0.666508 + 0.745498i \(0.732212\pi\)
\(420\) −3.25021 5.62952i −0.158594 0.274693i
\(421\) −20.4785 11.8233i −0.998062 0.576231i −0.0903874 0.995907i \(-0.528811\pi\)
−0.907674 + 0.419676i \(0.862144\pi\)
\(422\) −39.4511 + 22.7771i −1.92045 + 1.10877i
\(423\) 2.55948 + 1.47771i 0.124446 + 0.0718489i
\(424\) 73.4319 + 42.3959i 3.56617 + 2.05893i
\(425\) 3.09440 5.35966i 0.150101 0.259982i
\(426\) −49.7309 −2.40947
\(427\) 13.4998 7.79413i 0.653302 0.377184i
\(428\) 28.6406 + 49.6070i 1.38440 + 2.39785i
\(429\) −20.3162 + 20.9673i −0.980874 + 1.01231i
\(430\) −1.93998 −0.0935540
\(431\) 33.8141 19.5226i 1.62877 0.940370i 0.644309 0.764765i \(-0.277145\pi\)
0.984461 0.175605i \(-0.0561881\pi\)
\(432\) −99.8463 −4.80386
\(433\) −18.7595 −0.901524 −0.450762 0.892644i \(-0.648848\pi\)
−0.450762 + 0.892644i \(0.648848\pi\)
\(434\) −14.7067 28.7011i −0.705944 1.37770i
\(435\) 4.26707i 0.204591i
\(436\) 65.8398i 3.15316i
\(437\) 4.58642 2.64797i 0.219398 0.126670i
\(438\) 25.6808 1.22707
\(439\) −15.1874 + 26.3053i −0.724855 + 1.25549i 0.234179 + 0.972193i \(0.424760\pi\)
−0.959034 + 0.283292i \(0.908574\pi\)
\(440\) 18.5468 10.7080i 0.884184 0.510484i
\(441\) 1.13703 + 1.96939i 0.0541441 + 0.0937804i
\(442\) 12.3994 + 3.11370i 0.589780 + 0.148104i
\(443\) 11.3617 19.6791i 0.539811 0.934980i −0.459103 0.888383i \(-0.651829\pi\)
0.998914 0.0465968i \(-0.0148376\pi\)
\(444\) −46.1089 26.6210i −2.18823 1.26338i
\(445\) −0.0229755 + 0.0397947i −0.00108914 + 0.00188645i
\(446\) 2.29188 + 3.96966i 0.108524 + 0.187969i
\(447\) 7.52840 + 4.34652i 0.356081 + 0.205583i
\(448\) 78.3283 45.2229i 3.70066 2.13658i
\(449\) 18.6010i 0.877836i 0.898527 + 0.438918i \(0.144638\pi\)
−0.898527 + 0.438918i \(0.855362\pi\)
\(450\) 11.5046i 0.542334i
\(451\) 20.0429 + 34.7154i 0.943785 + 1.63468i
\(452\) 4.43479 7.68129i 0.208595 0.361297i
\(453\) −10.8134 + 6.24312i −0.508058 + 0.293327i
\(454\) 22.5320 39.0266i 1.05748 1.83161i
\(455\) −1.99144 1.92960i −0.0933602 0.0904611i
\(456\) −26.2756 + 45.5107i −1.23047 + 2.13123i
\(457\) 3.86046i 0.180585i −0.995915 0.0902923i \(-0.971220\pi\)
0.995915 0.0902923i \(-0.0287801\pi\)
\(458\) 15.5706 + 26.9690i 0.727565 + 1.26018i
\(459\) −3.59194 6.22142i −0.167657 0.290391i
\(460\) 2.86136 + 1.65201i 0.133412 + 0.0770253i
\(461\) 8.91260i 0.415101i 0.978224 + 0.207551i \(0.0665491\pi\)
−0.978224 + 0.207551i \(0.933451\pi\)
\(462\) −40.6180 + 23.4508i −1.88972 + 1.09103i
\(463\) 10.2105i 0.474521i 0.971446 + 0.237260i \(0.0762495\pi\)
−0.971446 + 0.237260i \(0.923751\pi\)
\(464\) 139.103 6.45770
\(465\) −0.151205 + 3.01712i −0.00701195 + 0.139916i
\(466\) 28.2764i 1.30988i
\(467\) 11.3576 0.525566 0.262783 0.964855i \(-0.415360\pi\)
0.262783 + 0.964855i \(0.415360\pi\)
\(468\) −16.9675 + 4.83446i −0.784324 + 0.223473i
\(469\) −9.78950 −0.452037
\(470\) 3.10723 + 1.79396i 0.143326 + 0.0827493i
\(471\) 9.84829 + 17.0577i 0.453785 + 0.785979i
\(472\) −32.7184 56.6699i −1.50599 2.60845i
\(473\) 10.3912i 0.477786i
\(474\) −6.49956 3.75252i −0.298535 0.172359i
\(475\) 14.3929 + 8.30976i 0.660393 + 0.381278i
\(476\) 13.2040 + 7.62333i 0.605204 + 0.349415i
\(477\) −3.43317 5.94642i −0.157194 0.272268i
\(478\) −6.58103 + 11.3987i −0.301009 + 0.521363i
\(479\) −13.1441 + 7.58873i −0.600567 + 0.346738i −0.769265 0.638930i \(-0.779377\pi\)
0.168697 + 0.985668i \(0.446044\pi\)
\(480\) −15.3609 −0.701126
\(481\) −22.0280 5.53160i −1.00439 0.252219i
\(482\) −26.3405 45.6230i −1.19978 2.07807i
\(483\) −4.09178 2.36239i −0.186183 0.107493i
\(484\) −56.1415 97.2399i −2.55189 4.42000i
\(485\) 2.41797 4.18805i 0.109794 0.190169i
\(486\) 20.5794 + 11.8815i 0.933499 + 0.538956i
\(487\) 0.471402 + 0.272164i 0.0213613 + 0.0123329i 0.510643 0.859793i \(-0.329408\pi\)
−0.489281 + 0.872126i \(0.662741\pi\)
\(488\) 78.6210i 3.55900i
\(489\) −28.8676 + 16.6667i −1.30544 + 0.753696i
\(490\) 1.38036 + 2.39086i 0.0623585 + 0.108008i
\(491\) 2.76513 4.78934i 0.124788 0.216140i −0.796862 0.604162i \(-0.793508\pi\)
0.921650 + 0.388022i \(0.126841\pi\)
\(492\) 61.3670i 2.76664i
\(493\) 5.00419 + 8.66751i 0.225377 + 0.390365i
\(494\) −8.36159 + 33.2976i −0.376206 + 1.49813i
\(495\) −1.73424 −0.0779483
\(496\) −98.3556 4.92915i −4.41630 0.221325i
\(497\) −25.3000 −1.13486
\(498\) −10.7613 −0.482224
\(499\) −0.549434 + 0.317216i −0.0245960 + 0.0142005i −0.512248 0.858838i \(-0.671187\pi\)
0.487652 + 0.873038i \(0.337854\pi\)
\(500\) 21.0289i 0.940439i
\(501\) −22.0957 12.7570i −0.987165 0.569940i
\(502\) 37.8078 21.8283i 1.68744 0.974246i
\(503\) −8.74468 15.1462i −0.389906 0.675337i 0.602530 0.798096i \(-0.294159\pi\)
−0.992437 + 0.122759i \(0.960826\pi\)
\(504\) −18.5068 −0.824358
\(505\) −2.93054 1.69195i −0.130408 0.0752908i
\(506\) 11.9195 20.6452i 0.529887 0.917792i
\(507\) 16.2027 10.0489i 0.719589 0.446287i
\(508\) −9.39144 16.2664i −0.416678 0.721707i
\(509\) 15.9626 + 9.21601i 0.707530 + 0.408492i 0.810146 0.586229i \(-0.199388\pi\)
−0.102616 + 0.994721i \(0.532721\pi\)
\(510\) −0.961912 1.66608i −0.0425942 0.0737753i
\(511\) 13.0648 0.577951
\(512\) 129.849i 5.73858i
\(513\) 16.7071 9.64585i 0.737637 0.425875i
\(514\) 27.2777 + 15.7488i 1.20317 + 0.694649i
\(515\) 1.45989 0.842866i 0.0643303 0.0371411i
\(516\) 7.95386 13.7765i 0.350149 0.606476i
\(517\) 9.60907 16.6434i 0.422606 0.731976i
\(518\) −31.5978 18.2430i −1.38833 0.801552i
\(519\) −15.1579 −0.665358
\(520\) −13.4503 + 3.83232i −0.589835 + 0.168058i
\(521\) 10.6169 + 18.3890i 0.465134 + 0.805636i 0.999208 0.0398019i \(-0.0126727\pi\)
−0.534073 + 0.845438i \(0.679339\pi\)
\(522\) −16.1124 9.30250i −0.705220 0.407159i
\(523\) −29.2111 −1.27731 −0.638656 0.769493i \(-0.720509\pi\)
−0.638656 + 0.769493i \(0.720509\pi\)
\(524\) 42.3397 + 73.3346i 1.84962 + 3.20363i
\(525\) 14.8271i 0.647109i
\(526\) 53.2480i 2.32172i
\(527\) −3.23118 6.30587i −0.140752 0.274688i
\(528\) 143.221i 6.23289i
\(529\) −20.5985 −0.895587
\(530\) −4.16791 7.21903i −0.181042 0.313575i
\(531\) 5.29899i 0.229957i
\(532\) −20.4718 + 35.4582i −0.887565 + 1.53731i
\(533\) −7.17322 25.1759i −0.310707 1.09049i
\(534\) −0.253778 0.439557i −0.0109821 0.0190215i
\(535\) 3.67703i 0.158972i
\(536\) −24.6872 + 42.7594i −1.06632 + 1.84693i
\(537\) 18.4975 32.0387i 0.798227 1.38257i
\(538\) 54.7380 + 31.6030i 2.35992 + 1.36250i
\(539\) 12.8063 7.39370i 0.551605 0.318469i
\(540\) 10.4232 + 6.01782i 0.448542 + 0.258966i
\(541\) 2.37346 1.37032i 0.102043 0.0589146i −0.448110 0.893978i \(-0.647903\pi\)
0.550153 + 0.835064i \(0.314569\pi\)
\(542\) 33.8314 1.45318
\(543\) −6.58300 −0.282503
\(544\) 31.2019 18.0144i 1.33777 0.772361i
\(545\) 2.11321 3.66019i 0.0905201 0.156785i
\(546\) 29.4565 8.39287i 1.26062 0.359182i
\(547\) 1.20056 2.07942i 0.0513321 0.0889097i −0.839218 0.543796i \(-0.816987\pi\)
0.890550 + 0.454886i \(0.150320\pi\)
\(548\) 72.5402 + 41.8811i 3.09876 + 1.78907i
\(549\) −3.18331 + 5.51366i −0.135860 + 0.235317i
\(550\) 74.8107 3.18994
\(551\) −23.2759 + 13.4383i −0.991585 + 0.572492i
\(552\) −20.6373 + 11.9150i −0.878383 + 0.507135i
\(553\) −3.30657 1.90905i −0.140610 0.0811810i
\(554\) 18.5098i 0.786404i
\(555\) 1.70887 + 2.95985i 0.0725375 + 0.125639i
\(556\) 88.8053 3.76618
\(557\) 27.2044i 1.15269i 0.817208 + 0.576343i \(0.195521\pi\)
−0.817208 + 0.576343i \(0.804479\pi\)
\(558\) 11.0630 + 7.14847i 0.468333 + 0.302619i
\(559\) 1.65274 6.58155i 0.0699034 0.278370i
\(560\) −13.6029 −0.574828
\(561\) −8.92409 + 5.15233i −0.376776 + 0.217531i
\(562\) −6.78281 −0.286115
\(563\) 18.4848 32.0165i 0.779039 1.34934i −0.153457 0.988155i \(-0.549041\pi\)
0.932496 0.361180i \(-0.117626\pi\)
\(564\) −25.4792 + 14.7104i −1.07287 + 0.619420i
\(565\) −0.493081 + 0.284681i −0.0207441 + 0.0119766i
\(566\) 85.1591i 3.57950i
\(567\) −10.3195 5.95794i −0.433377 0.250210i
\(568\) −63.8015 + 110.507i −2.67705 + 4.63679i
\(569\) 15.2590 26.4294i 0.639692 1.10798i −0.345808 0.938305i \(-0.612395\pi\)
0.985500 0.169674i \(-0.0542715\pi\)
\(570\) 4.47412 2.58313i 0.187400 0.108196i
\(571\) −18.6387 + 32.2833i −0.780007 + 1.35101i 0.151929 + 0.988391i \(0.451451\pi\)
−0.931937 + 0.362621i \(0.881882\pi\)
\(572\) 31.4368 + 110.334i 1.31444 + 4.61329i
\(573\) −4.72802 −0.197516
\(574\) 42.0540i 1.75530i
\(575\) 3.76815 + 6.52663i 0.157143 + 0.272179i
\(576\) −18.4701 + 31.9912i −0.769588 + 1.33297i
\(577\) 27.9542 16.1394i 1.16375 0.671891i 0.211549 0.977367i \(-0.432149\pi\)
0.952200 + 0.305477i \(0.0988157\pi\)
\(578\) −37.1124 21.4269i −1.54367 0.891240i
\(579\) −8.96151 5.17393i −0.372428 0.215021i
\(580\) −14.5213 8.38386i −0.602963 0.348121i
\(581\) −5.47466 −0.227127
\(582\) 26.7080 + 46.2596i 1.10708 + 1.91752i
\(583\) −38.6676 + 22.3247i −1.60145 + 0.924596i
\(584\) 32.9467 57.0654i 1.36335 2.36138i
\(585\) 1.09843 + 0.275835i 0.0454146 + 0.0114044i
\(586\) 7.20133 + 12.4731i 0.297484 + 0.515258i
\(587\) 10.1409i 0.418558i −0.977856 0.209279i \(-0.932888\pi\)
0.977856 0.209279i \(-0.0671117\pi\)
\(588\) −22.6379 −0.933569
\(589\) 16.9339 8.67706i 0.697748 0.357532i
\(590\) 6.43304i 0.264844i
\(591\) 5.44954i 0.224164i
\(592\) −96.4886 + 55.7077i −3.96566 + 2.28957i
\(593\) 15.3074i 0.628601i −0.949323 0.314301i \(-0.898230\pi\)
0.949323 0.314301i \(-0.101770\pi\)
\(594\) 43.4196 75.2050i 1.78153 3.08570i
\(595\) −0.489361 0.847598i −0.0200618 0.0347481i
\(596\) 29.5833 17.0799i 1.21178 0.699621i
\(597\) −11.9242 −0.488026
\(598\) −10.8333 + 11.1804i −0.443005 + 0.457202i
\(599\) 9.92009 17.1821i 0.405324 0.702042i −0.589035 0.808107i \(-0.700492\pi\)
0.994359 + 0.106066i \(0.0338254\pi\)
\(600\) −64.7632 37.3911i −2.64395 1.52648i
\(601\) 18.6850 + 32.3634i 0.762178 + 1.32013i 0.941726 + 0.336382i \(0.109203\pi\)
−0.179548 + 0.983749i \(0.557463\pi\)
\(602\) 5.45067 9.44084i 0.222153 0.384780i
\(603\) 3.46260 1.99913i 0.141008 0.0814111i
\(604\) 49.0654i 1.99644i
\(605\) 7.20773i 0.293036i
\(606\) 32.3697 18.6886i 1.31493 0.759174i
\(607\) 8.15046 14.1170i 0.330817 0.572991i −0.651855 0.758343i \(-0.726009\pi\)
0.982672 + 0.185352i \(0.0593425\pi\)
\(608\) 48.3762 + 83.7900i 1.96191 + 3.39813i
\(609\) 20.7656 + 11.9890i 0.841464 + 0.485820i
\(610\) −3.86458 + 6.69365i −0.156472 + 0.271018i
\(611\) −8.73336 + 9.01324i −0.353314 + 0.364637i
\(612\) −6.22711 −0.251716
\(613\) −22.2483 + 12.8451i −0.898602 + 0.518808i −0.876746 0.480953i \(-0.840291\pi\)
−0.0218559 + 0.999761i \(0.506957\pi\)
\(614\) −36.0318 62.4090i −1.45413 2.51862i
\(615\) −1.96965 + 3.41154i −0.0794240 + 0.137566i
\(616\) 120.343i 4.84877i
\(617\) −14.1585 + 8.17443i −0.570001 + 0.329090i −0.757150 0.653241i \(-0.773409\pi\)
0.187149 + 0.982332i \(0.440075\pi\)
\(618\) 18.6200i 0.749004i
\(619\) 23.6770i 0.951657i 0.879538 + 0.475829i \(0.157852\pi\)
−0.879538 + 0.475829i \(0.842148\pi\)
\(620\) 9.97048 + 6.44255i 0.400424 + 0.258739i
\(621\) 8.74804 0.351047
\(622\) 44.5023i 1.78438i
\(623\) −0.129107 0.223619i −0.00517254 0.00895911i
\(624\) 22.7796 90.7132i 0.911914 3.63143i
\(625\) −11.4829 + 19.8890i −0.459316 + 0.795558i
\(626\) 58.7188 33.9013i 2.34687 1.35497i
\(627\) −13.8361 23.9649i −0.552562 0.957066i
\(628\) 77.3989 3.08855
\(629\) −6.94230 4.00814i −0.276808 0.159815i
\(630\) 1.57563 + 0.909693i 0.0627748 + 0.0362430i
\(631\) 29.2062 + 16.8622i 1.16268 + 0.671273i 0.951945 0.306270i \(-0.0990810\pi\)
0.210735 + 0.977543i \(0.432414\pi\)
\(632\) −16.6770 + 9.62848i −0.663376 + 0.383001i
\(633\) −11.9893 + 20.7661i −0.476533 + 0.825379i
\(634\) 2.91883 + 5.05555i 0.115921 + 0.200782i
\(635\) 1.20572i 0.0478476i
\(636\) 68.3533 2.71039
\(637\) −9.28721 + 2.64615i −0.367973 + 0.104844i
\(638\) −60.4910 + 104.773i −2.39486 + 4.14802i
\(639\) 8.94874 5.16656i 0.354007 0.204386i
\(640\) −11.9492 + 20.6966i −0.472334 + 0.818106i
\(641\) −2.14606 + 3.71708i −0.0847641 + 0.146816i −0.905291 0.424793i \(-0.860347\pi\)
0.820527 + 0.571608i \(0.193680\pi\)
\(642\) 35.1737 + 20.3075i 1.38819 + 0.801474i
\(643\) 8.76266i 0.345565i −0.984960 0.172783i \(-0.944724\pi\)
0.984960 0.172783i \(-0.0552759\pi\)
\(644\) −16.0789 + 9.28316i −0.633598 + 0.365808i
\(645\) −0.884348 + 0.510578i −0.0348212 + 0.0201040i
\(646\) −6.05871 + 10.4940i −0.238377 + 0.412881i
\(647\) 20.8452 0.819508 0.409754 0.912196i \(-0.365614\pi\)
0.409754 + 0.912196i \(0.365614\pi\)
\(648\) −52.0473 + 30.0495i −2.04461 + 1.18046i
\(649\) 34.4575 1.35258
\(650\) −47.3836 11.8988i −1.85854 0.466710i
\(651\) −14.2579 9.21292i −0.558812 0.361083i
\(652\) 130.986i 5.12980i
\(653\) −29.3270 −1.14765 −0.573827 0.818976i \(-0.694542\pi\)
−0.573827 + 0.818976i \(0.694542\pi\)
\(654\) 23.3417 + 40.4291i 0.912734 + 1.58090i
\(655\) 5.43579i 0.212394i
\(656\) −111.213 64.2090i −4.34215 2.50694i
\(657\) −4.62108 + 2.66798i −0.180286 + 0.104088i
\(658\) −17.4605 + 10.0808i −0.680683 + 0.392992i
\(659\) −37.0959 −1.44505 −0.722526 0.691344i \(-0.757019\pi\)
−0.722526 + 0.691344i \(0.757019\pi\)
\(660\) 8.63205 14.9511i 0.336002 0.581972i
\(661\) 23.9046 + 13.8013i 0.929781 + 0.536810i 0.886742 0.462264i \(-0.152963\pi\)
0.0430390 + 0.999073i \(0.486296\pi\)
\(662\) −4.98379 + 8.63218i −0.193700 + 0.335499i
\(663\) 6.47183 1.84398i 0.251345 0.0716143i
\(664\) −13.8060 + 23.9127i −0.535777 + 0.927993i
\(665\) 2.27615 1.31414i 0.0882654 0.0509600i
\(666\) 14.9018 0.577433
\(667\) −12.1875 −0.471902
\(668\) −86.8265 + 50.1293i −3.35942 + 1.93956i
\(669\) 2.08953 + 1.20639i 0.0807860 + 0.0466418i
\(670\) 4.20364 2.42697i 0.162401 0.0937622i
\(671\) 35.8534 + 20.7000i 1.38411 + 0.799114i
\(672\) 43.1589 74.7534i 1.66489 2.88367i
\(673\) 8.35078 14.4640i 0.321899 0.557545i −0.658981 0.752160i \(-0.729012\pi\)
0.980880 + 0.194614i \(0.0623455\pi\)
\(674\) 98.7915i 3.80531i
\(675\) 13.7264 + 23.7748i 0.528328 + 0.915091i
\(676\) −2.36258 74.8834i −0.0908685 2.88013i
\(677\) −17.7962 + 30.8239i −0.683963 + 1.18466i 0.289798 + 0.957088i \(0.406412\pi\)
−0.973761 + 0.227571i \(0.926922\pi\)
\(678\) 6.28895i 0.241526i
\(679\) 13.5873 + 23.5340i 0.521434 + 0.903151i
\(680\) −4.93628 −0.189298
\(681\) 23.7206i 0.908975i
\(682\) 46.4841 71.9387i 1.77997 2.75468i
\(683\) 38.6786i 1.48000i −0.672609 0.739998i \(-0.734826\pi\)
0.672609 0.739998i \(-0.265174\pi\)
\(684\) 16.7224i 0.639396i
\(685\) −2.68845 4.65654i −0.102721 0.177917i
\(686\) −56.0589 −2.14034
\(687\) 14.1958 + 8.19597i 0.541605 + 0.312696i
\(688\) −16.6444 28.8290i −0.634563 1.09909i
\(689\) 28.0420 7.98986i 1.06832 0.304389i
\(690\) 2.34270 0.0891851
\(691\) 24.9129 + 14.3835i 0.947732 + 0.547173i 0.892376 0.451294i \(-0.149037\pi\)
0.0553561 + 0.998467i \(0.482371\pi\)
\(692\) −29.7819 + 51.5838i −1.13214 + 1.96092i
\(693\) 4.87262 8.43963i 0.185096 0.320595i
\(694\) 6.81551 3.93494i 0.258713 0.149368i
\(695\) −4.93689 2.85032i −0.187267 0.108119i
\(696\) 104.733 60.4679i 3.96991 2.29203i
\(697\) 9.23959i 0.349975i
\(698\) 44.1258 1.67019
\(699\) −7.44199 12.8899i −0.281482 0.487541i
\(700\) −50.4582 29.1320i −1.90714 1.10109i
\(701\) −20.8907 36.1837i −0.789030 1.36664i −0.926562 0.376142i \(-0.877250\pi\)
0.137532 0.990497i \(-0.456083\pi\)
\(702\) −39.4626 + 40.7273i −1.48942 + 1.53715i
\(703\) 10.7635 18.6430i 0.405954 0.703132i
\(704\) 208.028 + 120.105i 7.84034 + 4.52662i
\(705\) 1.88860 0.0711287
\(706\) 6.00372 + 10.3987i 0.225953 + 0.391362i
\(707\) 16.4677 9.50761i 0.619330 0.357570i
\(708\) −45.6834 26.3753i −1.71689 0.991245i
\(709\) 41.1826i 1.54665i −0.634012 0.773323i \(-0.718593\pi\)
0.634012 0.773323i \(-0.281407\pi\)
\(710\) 10.8639 6.27227i 0.407714 0.235394i
\(711\) 1.55940 0.0584822
\(712\) −1.30232 −0.0488067
\(713\) 8.61743 + 0.431867i 0.322725 + 0.0161736i
\(714\) 10.8106 0.404576
\(715\) 1.79366 7.14273i 0.0670791 0.267123i
\(716\) −72.6871 125.898i −2.71645 4.70502i
\(717\) 6.92819i 0.258738i
\(718\) −25.2225 + 43.6866i −0.941294 + 1.63037i
\(719\) −14.9431 25.8822i −0.557284 0.965245i −0.997722 0.0674615i \(-0.978510\pi\)
0.440438 0.897783i \(-0.354823\pi\)
\(720\) 4.81143 2.77788i 0.179311 0.103526i
\(721\) 9.47266i 0.352780i
\(722\) 17.6654 + 10.1991i 0.657437 + 0.379571i
\(723\) −24.0149 13.8650i −0.893122 0.515644i
\(724\) −12.9341 + 22.4026i −0.480693 + 0.832585i
\(725\) −19.1232 33.1223i −0.710217 1.23013i
\(726\) −68.9476 39.8069i −2.55888 1.47737i
\(727\) −14.9937 25.9699i −0.556086 0.963169i −0.997818 0.0660219i \(-0.978969\pi\)
0.441732 0.897147i \(-0.354364\pi\)
\(728\) 19.1409 76.2230i 0.709408 2.82501i
\(729\) 29.7040 1.10015
\(730\) −5.61005 + 3.23896i −0.207637 + 0.119879i
\(731\) 1.19756 2.07423i 0.0442932 0.0767181i
\(732\) −31.6894 54.8876i −1.17127 2.02870i
\(733\) 25.6261 + 14.7953i 0.946523 + 0.546476i 0.891999 0.452037i \(-0.149302\pi\)
0.0545242 + 0.998512i \(0.482636\pi\)
\(734\) −28.0934 16.2197i −1.03694 0.598680i
\(735\) 1.25849 + 0.726591i 0.0464202 + 0.0268007i
\(736\) 43.8734i 1.61720i
\(737\) −12.9997 22.5161i −0.478850 0.829392i
\(738\) 8.58793 + 14.8747i 0.316126 + 0.547547i
\(739\) −23.7993 13.7405i −0.875470 0.505453i −0.00630784 0.999980i \(-0.502008\pi\)
−0.869162 + 0.494527i \(0.835341\pi\)
\(740\) 13.4302 0.493704
\(741\) 4.95186 + 17.3795i 0.181911 + 0.638453i
\(742\) 46.8416 1.71961
\(743\) 10.3780i 0.380730i 0.981713 + 0.190365i \(0.0609672\pi\)
−0.981713 + 0.190365i \(0.939033\pi\)
\(744\) −76.1966 + 39.0438i −2.79350 + 1.43142i
\(745\) −2.19281 −0.0803382
\(746\) 39.2174i 1.43585i
\(747\) 1.93642 1.11799i 0.0708499 0.0409052i
\(748\) 40.4928i 1.48056i
\(749\) 17.8942 + 10.3312i 0.653838 + 0.377494i
\(750\) 7.45522 + 12.9128i 0.272226 + 0.471509i
\(751\) −7.01821 12.1559i −0.256098 0.443575i 0.709095 0.705113i \(-0.249104\pi\)
−0.965193 + 0.261538i \(0.915770\pi\)
\(752\) 61.5667i 2.24511i
\(753\) 11.4899 19.9011i 0.418716 0.725237i
\(754\) 54.9782 56.7401i 2.00219 2.06635i
\(755\) 1.57482 2.72766i 0.0573134 0.0992697i
\(756\) −58.5711 + 33.8161i −2.13021 + 1.22988i
\(757\) 5.68002 9.83808i 0.206444 0.357571i −0.744148 0.668015i \(-0.767144\pi\)
0.950592 + 0.310444i \(0.100478\pi\)
\(758\) −10.7696 18.6536i −0.391171 0.677528i
\(759\) 12.5483i 0.455474i
\(760\) 13.2560i 0.480844i
\(761\) −2.37061 + 1.36867i −0.0859346 + 0.0496144i −0.542352 0.840152i \(-0.682466\pi\)
0.456417 + 0.889766i \(0.349133\pi\)
\(762\) −11.5337 6.65896i −0.417820 0.241229i
\(763\) 11.8748 + 20.5678i 0.429897 + 0.744604i
\(764\) −9.28951 + 16.0899i −0.336083 + 0.582112i
\(765\) 0.346180 +