Properties

Label 150.2.l.a.137.5
Level $150$
Weight $2$
Character 150.137
Analytic conductor $1.198$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 150.l (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 137.5
Character \(\chi\) \(=\) 150.137
Dual form 150.2.l.a.23.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.987688 + 0.156434i) q^{2} +(1.64008 - 0.556890i) q^{3} +(0.951057 - 0.309017i) q^{4} +(0.545143 - 2.16860i) q^{5} +(-1.53277 + 0.806599i) q^{6} +(-1.41702 - 1.41702i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(2.37975 - 1.82669i) q^{9} +O(q^{10})\) \(q+(-0.987688 + 0.156434i) q^{2} +(1.64008 - 0.556890i) q^{3} +(0.951057 - 0.309017i) q^{4} +(0.545143 - 2.16860i) q^{5} +(-1.53277 + 0.806599i) q^{6} +(-1.41702 - 1.41702i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(2.37975 - 1.82669i) q^{9} +(-0.199188 + 2.22718i) q^{10} +(-2.37267 + 3.26569i) q^{11} +(1.38772 - 1.03645i) q^{12} +(0.301677 - 1.90471i) q^{13} +(1.62125 + 1.17790i) q^{14} +(-0.313590 - 3.86027i) q^{15} +(0.809017 - 0.587785i) q^{16} +(1.78386 + 3.50102i) q^{17} +(-2.06469 + 2.17648i) q^{18} +(6.42284 + 2.08691i) q^{19} +(-0.151672 - 2.23092i) q^{20} +(-3.11316 - 1.53491i) q^{21} +(1.83259 - 3.59666i) q^{22} +(-0.317431 - 2.00418i) q^{23} +(-1.20850 + 1.24077i) q^{24} +(-4.40564 - 2.36439i) q^{25} +1.92846i q^{26} +(2.88572 - 4.32118i) q^{27} +(-1.78555 - 0.909783i) q^{28} +(1.79717 + 5.53113i) q^{29} +(0.913608 + 3.76368i) q^{30} +(-2.88201 + 8.86991i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-2.07274 + 6.67733i) q^{33} +(-2.30957 - 3.17886i) q^{34} +(-3.84543 + 2.30047i) q^{35} +(1.69880 - 2.47267i) q^{36} +(-6.31949 - 1.00091i) q^{37} +(-6.67023 - 1.05646i) q^{38} +(-0.565940 - 3.29189i) q^{39} +(0.498797 + 2.17973i) q^{40} +(0.756950 + 1.04185i) q^{41} +(3.31494 + 1.02900i) q^{42} +(-6.68950 + 6.68950i) q^{43} +(-1.24738 + 3.83905i) q^{44} +(-2.66406 - 6.15652i) q^{45} +(0.627046 + 1.92985i) q^{46} +(-1.18073 - 0.601612i) q^{47} +(0.999524 - 1.41455i) q^{48} -2.98411i q^{49} +(4.72127 + 1.64609i) q^{50} +(4.87536 + 4.74855i) q^{51} +(-0.301677 - 1.90471i) q^{52} +(4.96215 - 9.73877i) q^{53} +(-2.17421 + 4.71941i) q^{54} +(5.78854 + 6.92563i) q^{55} +(1.90589 + 0.619261i) q^{56} +(11.6962 - 0.154113i) q^{57} +(-2.64031 - 5.18189i) q^{58} +(-3.81952 + 2.77504i) q^{59} +(-1.49113 - 3.57443i) q^{60} +(-0.433671 - 0.315081i) q^{61} +(1.45897 - 9.21155i) q^{62} +(-5.96061 - 0.783690i) q^{63} +(0.587785 - 0.809017i) q^{64} +(-3.96610 - 1.69256i) q^{65} +(1.00265 - 6.91936i) q^{66} +(-1.35097 + 0.688356i) q^{67} +(2.77842 + 2.77842i) q^{68} +(-1.63672 - 3.11025i) q^{69} +(3.43821 - 2.87370i) q^{70} +(0.520251 - 0.169040i) q^{71} +(-1.29107 + 2.70798i) q^{72} +(7.37855 - 1.16865i) q^{73} +6.39826 q^{74} +(-8.54232 - 1.42435i) q^{75} +6.75337 q^{76} +(7.98967 - 1.26544i) q^{77} +(1.07394 + 3.16283i) q^{78} +(10.2088 - 3.31704i) q^{79} +(-0.833640 - 2.07486i) q^{80} +(2.32639 - 8.69413i) q^{81} +(-0.910612 - 0.910612i) q^{82} +(-3.00600 + 1.53163i) q^{83} +(-3.43510 - 0.497765i) q^{84} +(8.56476 - 1.95991i) q^{85} +(5.56067 - 7.65361i) q^{86} +(6.02774 + 8.07068i) q^{87} +(0.631467 - 3.98692i) q^{88} +(-11.4865 - 8.34544i) q^{89} +(3.59435 + 5.66398i) q^{90} +(-3.12650 + 2.27153i) q^{91} +(-0.921220 - 1.80800i) q^{92} +(0.212830 + 16.1523i) q^{93} +(1.26031 + 0.409498i) q^{94} +(8.02703 - 12.7909i) q^{95} +(-0.765933 + 1.55349i) q^{96} +(-4.82956 + 9.47854i) q^{97} +(0.466817 + 2.94737i) q^{98} +(0.319074 + 12.1057i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.987688 + 0.156434i −0.698401 + 0.110616i
\(3\) 1.64008 0.556890i 0.946903 0.321521i
\(4\) 0.951057 0.309017i 0.475528 0.154508i
\(5\) 0.545143 2.16860i 0.243795 0.969827i
\(6\) −1.53277 + 0.806599i −0.625753 + 0.329293i
\(7\) −1.41702 1.41702i −0.535583 0.535583i 0.386645 0.922229i \(-0.373634\pi\)
−0.922229 + 0.386645i \(0.873634\pi\)
\(8\) −0.891007 + 0.453990i −0.315018 + 0.160510i
\(9\) 2.37975 1.82669i 0.793249 0.608897i
\(10\) −0.199188 + 2.22718i −0.0629888 + 0.704296i
\(11\) −2.37267 + 3.26569i −0.715386 + 0.984644i 0.284279 + 0.958742i \(0.408246\pi\)
−0.999664 + 0.0259024i \(0.991754\pi\)
\(12\) 1.38772 1.03645i 0.400601 0.299197i
\(13\) 0.301677 1.90471i 0.0836701 0.528272i −0.909879 0.414873i \(-0.863826\pi\)
0.993549 0.113399i \(-0.0361740\pi\)
\(14\) 1.62125 + 1.17790i 0.433296 + 0.314808i
\(15\) −0.313590 3.86027i −0.0809687 0.996717i
\(16\) 0.809017 0.587785i 0.202254 0.146946i
\(17\) 1.78386 + 3.50102i 0.432649 + 0.849121i 0.999677 + 0.0254227i \(0.00809318\pi\)
−0.567028 + 0.823699i \(0.691907\pi\)
\(18\) −2.06469 + 2.17648i −0.486652 + 0.513001i
\(19\) 6.42284 + 2.08691i 1.47350 + 0.478769i 0.932164 0.362037i \(-0.117919\pi\)
0.541336 + 0.840806i \(0.317919\pi\)
\(20\) −0.151672 2.23092i −0.0339148 0.498848i
\(21\) −3.11316 1.53491i −0.679346 0.334944i
\(22\) 1.83259 3.59666i 0.390709 0.766810i
\(23\) −0.317431 2.00418i −0.0661889 0.417900i −0.998428 0.0560564i \(-0.982147\pi\)
0.932239 0.361844i \(-0.117853\pi\)
\(24\) −1.20850 + 1.24077i −0.246684 + 0.253272i
\(25\) −4.40564 2.36439i −0.881128 0.472879i
\(26\) 1.92846i 0.378201i
\(27\) 2.88572 4.32118i 0.555357 0.831612i
\(28\) −1.78555 0.909783i −0.337437 0.171933i
\(29\) 1.79717 + 5.53113i 0.333727 + 1.02710i 0.967346 + 0.253460i \(0.0815685\pi\)
−0.633619 + 0.773645i \(0.718431\pi\)
\(30\) 0.913608 + 3.76368i 0.166801 + 0.687152i
\(31\) −2.88201 + 8.86991i −0.517624 + 1.59308i 0.260833 + 0.965384i \(0.416003\pi\)
−0.778457 + 0.627698i \(0.783997\pi\)
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −2.07274 + 6.67733i −0.360817 + 1.16237i
\(34\) −2.30957 3.17886i −0.396089 0.545169i
\(35\) −3.84543 + 2.30047i −0.649996 + 0.388850i
\(36\) 1.69880 2.47267i 0.283133 0.412112i
\(37\) −6.31949 1.00091i −1.03892 0.164548i −0.386407 0.922328i \(-0.626284\pi\)
−0.652510 + 0.757780i \(0.726284\pi\)
\(38\) −6.67023 1.05646i −1.08205 0.171380i
\(39\) −0.565940 3.29189i −0.0906230 0.527124i
\(40\) 0.498797 + 2.17973i 0.0788667 + 0.344645i
\(41\) 0.756950 + 1.04185i 0.118216 + 0.162710i 0.864024 0.503451i \(-0.167936\pi\)
−0.745808 + 0.666161i \(0.767936\pi\)
\(42\) 3.31494 + 1.02900i 0.511506 + 0.158779i
\(43\) −6.68950 + 6.68950i −1.02014 + 1.02014i −0.0203466 + 0.999793i \(0.506477\pi\)
−0.999793 + 0.0203466i \(0.993523\pi\)
\(44\) −1.24738 + 3.83905i −0.188050 + 0.578759i
\(45\) −2.66406 6.15652i −0.397134 0.917760i
\(46\) 0.627046 + 1.92985i 0.0924528 + 0.284541i
\(47\) −1.18073 0.601612i −0.172227 0.0877541i 0.365752 0.930712i \(-0.380812\pi\)
−0.537979 + 0.842958i \(0.680812\pi\)
\(48\) 0.999524 1.41455i 0.144269 0.204173i
\(49\) 2.98411i 0.426301i
\(50\) 4.72127 + 1.64609i 0.667688 + 0.232792i
\(51\) 4.87536 + 4.74855i 0.682686 + 0.664930i
\(52\) −0.301677 1.90471i −0.0418351 0.264136i
\(53\) 4.96215 9.73877i 0.681604 1.33772i −0.247854 0.968797i \(-0.579725\pi\)
0.929459 0.368926i \(-0.120275\pi\)
\(54\) −2.17421 + 4.71941i −0.295872 + 0.642230i
\(55\) 5.78854 + 6.92563i 0.780526 + 0.933852i
\(56\) 1.90589 + 0.619261i 0.254685 + 0.0827522i
\(57\) 11.6962 0.154113i 1.54920 0.0204128i
\(58\) −2.64031 5.18189i −0.346689 0.680416i
\(59\) −3.81952 + 2.77504i −0.497259 + 0.361280i −0.807969 0.589225i \(-0.799433\pi\)
0.310710 + 0.950505i \(0.399433\pi\)
\(60\) −1.49113 3.57443i −0.192504 0.461457i
\(61\) −0.433671 0.315081i −0.0555259 0.0403419i 0.559676 0.828711i \(-0.310926\pi\)
−0.615202 + 0.788370i \(0.710926\pi\)
\(62\) 1.45897 9.21155i 0.185289 1.16987i
\(63\) −5.96061 0.783690i −0.750966 0.0987357i
\(64\) 0.587785 0.809017i 0.0734732 0.101127i
\(65\) −3.96610 1.69256i −0.491934 0.209936i
\(66\) 1.00265 6.91936i 0.123418 0.851715i
\(67\) −1.35097 + 0.688356i −0.165048 + 0.0840960i −0.534563 0.845129i \(-0.679524\pi\)
0.369515 + 0.929225i \(0.379524\pi\)
\(68\) 2.77842 + 2.77842i 0.336933 + 0.336933i
\(69\) −1.63672 3.11025i −0.197038 0.374430i
\(70\) 3.43821 2.87370i 0.410945 0.343473i
\(71\) 0.520251 0.169040i 0.0617424 0.0200613i −0.277983 0.960586i \(-0.589666\pi\)
0.339725 + 0.940525i \(0.389666\pi\)
\(72\) −1.29107 + 2.70798i −0.152154 + 0.319138i
\(73\) 7.37855 1.16865i 0.863594 0.136780i 0.291104 0.956691i \(-0.405977\pi\)
0.572490 + 0.819912i \(0.305977\pi\)
\(74\) 6.39826 0.743783
\(75\) −8.54232 1.42435i −0.986382 0.164469i
\(76\) 6.75337 0.774665
\(77\) 7.98967 1.26544i 0.910508 0.144210i
\(78\) 1.07394 + 3.16283i 0.121599 + 0.358120i
\(79\) 10.2088 3.31704i 1.14858 0.373196i 0.327971 0.944688i \(-0.393635\pi\)
0.820607 + 0.571492i \(0.193635\pi\)
\(80\) −0.833640 2.07486i −0.0932038 0.231976i
\(81\) 2.32639 8.69413i 0.258488 0.966014i
\(82\) −0.910612 0.910612i −0.100560 0.100560i
\(83\) −3.00600 + 1.53163i −0.329952 + 0.168119i −0.611116 0.791541i \(-0.709279\pi\)
0.281165 + 0.959659i \(0.409279\pi\)
\(84\) −3.43510 0.497765i −0.374800 0.0543106i
\(85\) 8.56476 1.95991i 0.928978 0.212583i
\(86\) 5.56067 7.65361i 0.599623 0.825310i
\(87\) 6.02774 + 8.07068i 0.646242 + 0.865268i
\(88\) 0.631467 3.98692i 0.0673146 0.425007i
\(89\) −11.4865 8.34544i −1.21757 0.884615i −0.221672 0.975121i \(-0.571151\pi\)
−0.995896 + 0.0905063i \(0.971151\pi\)
\(90\) 3.59435 + 5.66398i 0.378878 + 0.597036i
\(91\) −3.12650 + 2.27153i −0.327746 + 0.238122i
\(92\) −0.921220 1.80800i −0.0960439 0.188497i
\(93\) 0.212830 + 16.1523i 0.0220694 + 1.67492i
\(94\) 1.26031 + 0.409498i 0.129991 + 0.0422365i
\(95\) 8.02703 12.7909i 0.823556 1.31232i
\(96\) −0.765933 + 1.55349i −0.0781727 + 0.158553i
\(97\) −4.82956 + 9.47854i −0.490367 + 0.962400i 0.504709 + 0.863290i \(0.331600\pi\)
−0.995076 + 0.0991108i \(0.968400\pi\)
\(98\) 0.466817 + 2.94737i 0.0471557 + 0.297729i
\(99\) 0.319074 + 12.1057i 0.0320681 + 1.21666i
\(100\) −4.92065 0.887255i −0.492065 0.0887255i
\(101\) 11.9603i 1.19010i −0.803690 0.595048i \(-0.797133\pi\)
0.803690 0.595048i \(-0.202867\pi\)
\(102\) −5.55817 3.92741i −0.550341 0.388872i
\(103\) 2.58470 + 1.31697i 0.254678 + 0.129765i 0.576669 0.816978i \(-0.304352\pi\)
−0.321991 + 0.946743i \(0.604352\pi\)
\(104\) 0.595926 + 1.83407i 0.0584353 + 0.179845i
\(105\) −5.02571 + 5.91444i −0.490459 + 0.577190i
\(106\) −3.37758 + 10.3951i −0.328060 + 1.00966i
\(107\) −10.4011 + 10.4011i −1.00551 + 1.00551i −0.00552544 + 0.999985i \(0.501759\pi\)
−0.999985 + 0.00552544i \(0.998241\pi\)
\(108\) 1.40916 5.00143i 0.135597 0.481262i
\(109\) −7.36263 10.1338i −0.705212 0.970641i −0.999887 0.0150436i \(-0.995211\pi\)
0.294675 0.955598i \(-0.404789\pi\)
\(110\) −6.80068 5.93484i −0.648419 0.565865i
\(111\) −10.9219 + 1.87769i −1.03666 + 0.178222i
\(112\) −1.97930 0.313490i −0.187026 0.0296220i
\(113\) 14.3852 + 2.27840i 1.35325 + 0.214333i 0.790585 0.612353i \(-0.209777\pi\)
0.562663 + 0.826686i \(0.309777\pi\)
\(114\) −11.5281 + 1.98190i −1.07970 + 0.185622i
\(115\) −4.51931 0.404185i −0.421428 0.0376904i
\(116\) 3.41843 + 4.70506i 0.317393 + 0.436854i
\(117\) −2.76141 5.08381i −0.255292 0.469998i
\(118\) 3.33838 3.33838i 0.307323 0.307323i
\(119\) 2.43325 7.48877i 0.223056 0.686495i
\(120\) 2.03194 + 3.29716i 0.185489 + 0.300988i
\(121\) −1.63603 5.03519i −0.148730 0.457744i
\(122\) 0.477622 + 0.243360i 0.0432418 + 0.0220328i
\(123\) 1.82166 + 1.28719i 0.164253 + 0.116062i
\(124\) 9.32637i 0.837533i
\(125\) −7.52912 + 8.26513i −0.673425 + 0.739255i
\(126\) 6.00982 0.158403i 0.535397 0.0141117i
\(127\) 0.572870 + 3.61696i 0.0508340 + 0.320953i 0.999981 + 0.00612070i \(0.00194829\pi\)
−0.949147 + 0.314832i \(0.898052\pi\)
\(128\) −0.453990 + 0.891007i −0.0401275 + 0.0787546i
\(129\) −7.24602 + 14.6967i −0.637977 + 1.29397i
\(130\) 4.18205 + 1.05128i 0.366790 + 0.0922037i
\(131\) 2.34952 + 0.763407i 0.205279 + 0.0666992i 0.409852 0.912152i \(-0.365580\pi\)
−0.204573 + 0.978851i \(0.565580\pi\)
\(132\) 0.0921166 + 6.99103i 0.00801772 + 0.608491i
\(133\) −6.14410 12.0585i −0.532761 1.04560i
\(134\) 1.22666 0.891220i 0.105967 0.0769897i
\(135\) −7.79778 8.61363i −0.671126 0.741343i
\(136\) −3.17886 2.30957i −0.272585 0.198044i
\(137\) −0.709676 + 4.48072i −0.0606317 + 0.382814i 0.938648 + 0.344876i \(0.112079\pi\)
−0.999280 + 0.0379379i \(0.987921\pi\)
\(138\) 2.10312 + 2.81592i 0.179029 + 0.239707i
\(139\) 3.37296 4.64248i 0.286091 0.393770i −0.641649 0.766999i \(-0.721749\pi\)
0.927739 + 0.373228i \(0.121749\pi\)
\(140\) −2.94633 + 3.37618i −0.249011 + 0.285339i
\(141\) −2.27153 0.329157i −0.191297 0.0277200i
\(142\) −0.487402 + 0.248344i −0.0409019 + 0.0208405i
\(143\) 5.50443 + 5.50443i 0.460304 + 0.460304i
\(144\) 0.851553 2.87661i 0.0709628 0.239717i
\(145\) 12.9745 0.882088i 1.07747 0.0732534i
\(146\) −7.10489 + 2.30852i −0.588005 + 0.191054i
\(147\) −1.66182 4.89419i −0.137065 0.403666i
\(148\) −6.31949 + 1.00091i −0.519459 + 0.0822742i
\(149\) 15.3490 1.25744 0.628720 0.777632i \(-0.283579\pi\)
0.628720 + 0.777632i \(0.283579\pi\)
\(150\) 8.65997 + 0.0704973i 0.707083 + 0.00575608i
\(151\) −22.6955 −1.84694 −0.923468 0.383676i \(-0.874658\pi\)
−0.923468 + 0.383676i \(0.874658\pi\)
\(152\) −6.67023 + 1.05646i −0.541027 + 0.0856902i
\(153\) 10.6404 + 5.07298i 0.860226 + 0.410126i
\(154\) −7.69335 + 2.49972i −0.619948 + 0.201433i
\(155\) 17.6642 + 11.0853i 1.41882 + 0.890392i
\(156\) −1.55549 2.95589i −0.124539 0.236660i
\(157\) 0.431200 + 0.431200i 0.0344135 + 0.0344135i 0.724104 0.689691i \(-0.242253\pi\)
−0.689691 + 0.724104i \(0.742253\pi\)
\(158\) −9.56420 + 4.87320i −0.760887 + 0.387691i
\(159\) 2.71492 18.7358i 0.215307 1.48584i
\(160\) 1.14796 + 1.91891i 0.0907539 + 0.151703i
\(161\) −2.39016 + 3.28977i −0.188371 + 0.259270i
\(162\) −0.937689 + 8.95102i −0.0736718 + 0.703258i
\(163\) 3.70877 23.4163i 0.290493 1.83410i −0.221556 0.975148i \(-0.571114\pi\)
0.512049 0.858956i \(-0.328886\pi\)
\(164\) 1.04185 + 0.756950i 0.0813550 + 0.0591079i
\(165\) 13.3505 + 8.13503i 1.03933 + 0.633312i
\(166\) 2.72939 1.98302i 0.211842 0.153912i
\(167\) 1.54555 + 3.03330i 0.119598 + 0.234724i 0.943042 0.332673i \(-0.107950\pi\)
−0.823444 + 0.567397i \(0.807950\pi\)
\(168\) 3.47068 0.0457310i 0.267768 0.00352823i
\(169\) 8.82681 + 2.86800i 0.678986 + 0.220616i
\(170\) −8.15271 + 3.27561i −0.625285 + 0.251228i
\(171\) 19.0969 6.76624i 1.46037 0.517427i
\(172\) −4.29493 + 8.42926i −0.327485 + 0.642725i
\(173\) −0.203505 1.28488i −0.0154722 0.0976874i 0.978744 0.205087i \(-0.0657477\pi\)
−0.994216 + 0.107399i \(0.965748\pi\)
\(174\) −7.21606 7.02837i −0.547048 0.532820i
\(175\) 2.89248 + 9.59327i 0.218651 + 0.725183i
\(176\) 4.03662i 0.304272i
\(177\) −4.71894 + 6.67836i −0.354697 + 0.501976i
\(178\) 12.6506 + 6.44581i 0.948203 + 0.483134i
\(179\) −7.13852 21.9701i −0.533558 1.64212i −0.746744 0.665112i \(-0.768384\pi\)
0.213186 0.977012i \(-0.431616\pi\)
\(180\) −4.43614 5.03196i −0.330650 0.375060i
\(181\) 5.01359 15.4302i 0.372657 1.14692i −0.572389 0.819983i \(-0.693983\pi\)
0.945046 0.326938i \(-0.106017\pi\)
\(182\) 2.73266 2.73266i 0.202558 0.202558i
\(183\) −0.886722 0.275251i −0.0655484 0.0203472i
\(184\) 1.19271 + 1.64163i 0.0879279 + 0.121022i
\(185\) −5.61560 + 13.1588i −0.412867 + 0.967454i
\(186\) −2.73699 15.9202i −0.200686 1.16733i
\(187\) −15.6658 2.48121i −1.14559 0.181444i
\(188\) −1.30885 0.207301i −0.0954576 0.0151190i
\(189\) −10.2123 + 2.03409i −0.742837 + 0.147958i
\(190\) −5.92727 + 13.8891i −0.430009 + 1.00762i
\(191\) −3.27557 4.50844i −0.237012 0.326219i 0.673898 0.738825i \(-0.264619\pi\)
−0.910910 + 0.412606i \(0.864619\pi\)
\(192\) 0.513483 1.65419i 0.0370575 0.119381i
\(193\) −6.12138 + 6.12138i −0.440626 + 0.440626i −0.892222 0.451596i \(-0.850855\pi\)
0.451596 + 0.892222i \(0.350855\pi\)
\(194\) 3.28733 10.1174i 0.236016 0.726384i
\(195\) −7.44730 0.567254i −0.533313 0.0406219i
\(196\) −0.922140 2.83806i −0.0658671 0.202718i
\(197\) −15.7984 8.04970i −1.12559 0.573518i −0.210834 0.977522i \(-0.567618\pi\)
−0.914757 + 0.404004i \(0.867618\pi\)
\(198\) −2.20889 11.9067i −0.156979 0.846173i
\(199\) 10.3594i 0.734359i 0.930150 + 0.367180i \(0.119677\pi\)
−0.930150 + 0.367180i \(0.880323\pi\)
\(200\) 4.99886 + 0.106572i 0.353473 + 0.00753580i
\(201\) −1.83237 + 1.88130i −0.129246 + 0.132697i
\(202\) 1.87101 + 11.8131i 0.131644 + 0.831165i
\(203\) 5.29109 10.3843i 0.371362 0.728838i
\(204\) 6.10412 + 3.00957i 0.427374 + 0.210712i
\(205\) 2.67201 1.07356i 0.186621 0.0749808i
\(206\) −2.75890 0.896420i −0.192221 0.0624565i
\(207\) −4.41642 4.18959i −0.306963 0.291197i
\(208\) −0.875501 1.71827i −0.0607050 0.119140i
\(209\) −22.0545 + 16.0235i −1.52554 + 1.10837i
\(210\) 4.03862 6.62782i 0.278691 0.457363i
\(211\) 17.8594 + 12.9756i 1.22949 + 0.893278i 0.996852 0.0792851i \(-0.0252638\pi\)
0.232640 + 0.972563i \(0.425264\pi\)
\(212\) 1.70984 10.7955i 0.117432 0.741439i
\(213\) 0.759118 0.566962i 0.0520139 0.0388476i
\(214\) 8.64594 11.9001i 0.591024 0.813475i
\(215\) 10.8601 + 18.1536i 0.740653 + 1.23806i
\(216\) −0.609416 + 5.16029i −0.0414655 + 0.351113i
\(217\) 16.6527 8.48497i 1.13046 0.575998i
\(218\) 8.85726 + 8.85726i 0.599889 + 0.599889i
\(219\) 11.4506 6.02572i 0.773762 0.407180i
\(220\) 7.64536 + 4.79791i 0.515450 + 0.323475i
\(221\) 7.20658 2.34156i 0.484767 0.157510i
\(222\) 10.4937 3.56313i 0.704290 0.239142i
\(223\) 14.8047 2.34483i 0.991395 0.157022i 0.360391 0.932801i \(-0.382643\pi\)
0.631004 + 0.775780i \(0.282643\pi\)
\(224\) 2.00397 0.133896
\(225\) −14.8033 + 2.42109i −0.986888 + 0.161406i
\(226\) −14.5645 −0.968819
\(227\) 3.77582 0.598031i 0.250610 0.0396927i −0.0298656 0.999554i \(-0.509508\pi\)
0.280475 + 0.959861i \(0.409508\pi\)
\(228\) 11.0761 3.76089i 0.733532 0.249071i
\(229\) −21.4172 + 6.95886i −1.41529 + 0.459854i −0.914101 0.405486i \(-0.867102\pi\)
−0.501185 + 0.865340i \(0.667102\pi\)
\(230\) 4.52689 0.307767i 0.298495 0.0202935i
\(231\) 12.3990 6.52479i 0.815795 0.429300i
\(232\) −4.11237 4.11237i −0.269990 0.269990i
\(233\) −15.3187 + 7.80526i −1.00356 + 0.511340i −0.876934 0.480611i \(-0.840415\pi\)
−0.126626 + 0.991950i \(0.540415\pi\)
\(234\) 3.52269 + 4.58924i 0.230286 + 0.300008i
\(235\) −1.94832 + 2.23256i −0.127094 + 0.145636i
\(236\) −2.77504 + 3.81952i −0.180640 + 0.248630i
\(237\) 14.8960 11.1254i 0.967601 0.722671i
\(238\) −1.23179 + 7.77722i −0.0798451 + 0.504122i
\(239\) 2.77696 + 2.01758i 0.179626 + 0.130506i 0.673965 0.738763i \(-0.264590\pi\)
−0.494339 + 0.869269i \(0.664590\pi\)
\(240\) −2.52271 2.93870i −0.162840 0.189692i
\(241\) −6.92845 + 5.03381i −0.446300 + 0.324256i −0.788133 0.615505i \(-0.788952\pi\)
0.341833 + 0.939761i \(0.388952\pi\)
\(242\) 2.40357 + 4.71726i 0.154507 + 0.303237i
\(243\) −1.02620 15.5546i −0.0658306 0.997831i
\(244\) −0.509811 0.165648i −0.0326373 0.0106045i
\(245\) −6.47133 1.62677i −0.413438 0.103930i
\(246\) −2.00059 0.986369i −0.127553 0.0628886i
\(247\) 5.91258 11.6041i 0.376209 0.738351i
\(248\) −1.45897 9.21155i −0.0926444 0.584934i
\(249\) −4.07714 + 4.18602i −0.258378 + 0.265278i
\(250\) 6.14348 9.34118i 0.388548 0.590788i
\(251\) 11.9423i 0.753789i −0.926256 0.376894i \(-0.876992\pi\)
0.926256 0.376894i \(-0.123008\pi\)
\(252\) −5.91105 + 1.09660i −0.372361 + 0.0690791i
\(253\) 7.29820 + 3.71862i 0.458834 + 0.233787i
\(254\) −1.13163 3.48281i −0.0710050 0.218531i
\(255\) 12.9555 7.98405i 0.811302 0.499981i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −2.09358 + 2.09358i −0.130594 + 0.130594i −0.769382 0.638789i \(-0.779436\pi\)
0.638789 + 0.769382i \(0.279436\pi\)
\(258\) 4.85775 15.6492i 0.302430 0.974280i
\(259\) 7.53654 + 10.3732i 0.468298 + 0.644556i
\(260\) −4.29501 0.384125i −0.266366 0.0238224i
\(261\) 14.3805 + 9.87981i 0.890130 + 0.611545i
\(262\) −2.44002 0.386461i −0.150745 0.0238757i
\(263\) −22.4419 3.55445i −1.38383 0.219177i −0.580279 0.814418i \(-0.697057\pi\)
−0.803547 + 0.595241i \(0.797057\pi\)
\(264\) −1.18462 6.89054i −0.0729083 0.424084i
\(265\) −18.4144 16.0699i −1.13119 0.987169i
\(266\) 7.95482 + 10.9489i 0.487741 + 0.671318i
\(267\) −23.4863 7.29049i −1.43734 0.446171i
\(268\) −1.07214 + 1.07214i −0.0654913 + 0.0654913i
\(269\) −3.72777 + 11.4729i −0.227286 + 0.699515i 0.770765 + 0.637119i \(0.219874\pi\)
−0.998051 + 0.0623960i \(0.980126\pi\)
\(270\) 9.04925 + 7.28774i 0.550720 + 0.443517i
\(271\) 2.54786 + 7.84151i 0.154772 + 0.476338i 0.998138 0.0610015i \(-0.0194294\pi\)
−0.843366 + 0.537339i \(0.819429\pi\)
\(272\) 3.50102 + 1.78386i 0.212280 + 0.108162i
\(273\) −3.86272 + 5.46662i −0.233783 + 0.330855i
\(274\) 4.53657i 0.274064i
\(275\) 18.1745 8.77755i 1.09596 0.529306i
\(276\) −2.51773 2.45225i −0.151550 0.147608i
\(277\) 1.31490 + 8.30193i 0.0790045 + 0.498815i 0.995182 + 0.0980425i \(0.0312581\pi\)
−0.916178 + 0.400772i \(0.868742\pi\)
\(278\) −2.60519 + 5.11297i −0.156249 + 0.306656i
\(279\) 9.34414 + 26.3727i 0.559419 + 1.57889i
\(280\) 2.38191 3.79552i 0.142346 0.226826i
\(281\) −0.214763 0.0697807i −0.0128117 0.00416277i 0.302604 0.953116i \(-0.402144\pi\)
−0.315416 + 0.948954i \(0.602144\pi\)
\(282\) 2.29505 0.0302405i 0.136668 0.00180080i
\(283\) −10.2206 20.0591i −0.607554 1.19239i −0.965927 0.258813i \(-0.916669\pi\)
0.358374 0.933578i \(-0.383331\pi\)
\(284\) 0.442552 0.321533i 0.0262606 0.0190795i
\(285\) 6.04188 25.4483i 0.357890 1.50743i
\(286\) −6.29775 4.57558i −0.372394 0.270560i
\(287\) 0.403712 2.54894i 0.0238304 0.150459i
\(288\) −0.391069 + 2.97440i −0.0230440 + 0.175268i
\(289\) 0.917376 1.26266i 0.0539633 0.0742741i
\(290\) −12.6768 + 2.90089i −0.744406 + 0.170346i
\(291\) −2.64237 + 18.2351i −0.154899 + 1.06896i
\(292\) 6.65629 3.39155i 0.389530 0.198475i
\(293\) 7.91375 + 7.91375i 0.462326 + 0.462326i 0.899417 0.437091i \(-0.143991\pi\)
−0.437091 + 0.899417i \(0.643991\pi\)
\(294\) 2.40698 + 4.57396i 0.140378 + 0.266759i
\(295\) 3.93577 + 9.79580i 0.229149 + 0.570334i
\(296\) 6.08511 1.97717i 0.353690 0.114921i
\(297\) 7.26483 + 19.6766i 0.421548 + 1.14175i
\(298\) −15.1600 + 2.40111i −0.878197 + 0.139093i
\(299\) −3.91315 −0.226303
\(300\) −8.56438 + 1.28509i −0.494465 + 0.0741946i
\(301\) 18.9583 1.09274
\(302\) 22.4161 3.55036i 1.28990 0.204300i
\(303\) −6.66059 19.6159i −0.382641 1.12691i
\(304\) 6.42284 2.08691i 0.368375 0.119692i
\(305\) −0.919696 + 0.768695i −0.0526617 + 0.0440153i
\(306\) −11.3030 3.34599i −0.646149 0.191278i
\(307\) −7.00526 7.00526i −0.399811 0.399811i 0.478355 0.878166i \(-0.341233\pi\)
−0.878166 + 0.478355i \(0.841233\pi\)
\(308\) 7.20759 3.67245i 0.410690 0.209257i
\(309\) 4.97253 + 0.720548i 0.282877 + 0.0409905i
\(310\) −19.1808 8.18552i −1.08940 0.464907i
\(311\) −7.14665 + 9.83652i −0.405249 + 0.557778i −0.962052 0.272867i \(-0.912028\pi\)
0.556802 + 0.830645i \(0.312028\pi\)
\(312\) 1.99874 + 2.67616i 0.113157 + 0.151508i
\(313\) −3.84643 + 24.2854i −0.217413 + 1.37269i 0.601545 + 0.798839i \(0.294552\pi\)
−0.818958 + 0.573853i \(0.805448\pi\)
\(314\) −0.493346 0.358437i −0.0278411 0.0202278i
\(315\) −4.94889 + 12.4989i −0.278839 + 0.704236i
\(316\) 8.68411 6.30938i 0.488519 0.354930i
\(317\) 4.73623 + 9.29537i 0.266013 + 0.522080i 0.984917 0.173030i \(-0.0553557\pi\)
−0.718904 + 0.695110i \(0.755356\pi\)
\(318\) 0.249427 + 18.9298i 0.0139872 + 1.06153i
\(319\) −22.3271 7.25450i −1.25008 0.406174i
\(320\) −1.43401 1.71570i −0.0801634 0.0959106i
\(321\) −11.2664 + 22.8509i −0.628828 + 1.27541i
\(322\) 1.84610 3.62317i 0.102879 0.201911i
\(323\) 4.15113 + 26.2092i 0.230975 + 1.45832i
\(324\) −0.474104 8.98750i −0.0263391 0.499306i
\(325\) −5.83257 + 7.67819i −0.323533 + 0.425910i
\(326\) 23.7082i 1.31307i
\(327\) −17.7187 12.5201i −0.979848 0.692362i
\(328\) −1.14744 0.584649i −0.0633567 0.0322818i
\(329\) 0.820621 + 2.52561i 0.0452423 + 0.139242i
\(330\) −14.4587 5.94640i −0.795927 0.327339i
\(331\) 5.72324 17.6143i 0.314578 0.968170i −0.661350 0.750077i \(-0.730016\pi\)
0.975928 0.218093i \(-0.0699837\pi\)
\(332\) −2.38558 + 2.38558i −0.130926 + 0.130926i
\(333\) −16.8671 + 9.16185i −0.924313 + 0.502066i
\(334\) −2.00103 2.75418i −0.109492 0.150702i
\(335\) 0.756293 + 3.30497i 0.0413207 + 0.180570i
\(336\) −3.42079 + 0.588101i −0.186619 + 0.0320836i
\(337\) 11.7295 + 1.85777i 0.638947 + 0.101199i 0.467498 0.883994i \(-0.345155\pi\)
0.171448 + 0.985193i \(0.445155\pi\)
\(338\) −9.16679 1.45188i −0.498608 0.0789717i
\(339\) 24.8618 4.27423i 1.35031 0.232144i
\(340\) 7.53992 4.51064i 0.408910 0.244624i
\(341\) −22.1284 30.4571i −1.19832 1.64934i
\(342\) −17.8033 + 9.67034i −0.962691 + 0.522912i
\(343\) −14.1477 + 14.1477i −0.763903 + 0.763903i
\(344\) 2.92342 8.99736i 0.157620 0.485105i
\(345\) −7.63713 + 1.85386i −0.411169 + 0.0998084i
\(346\) 0.401998 + 1.23722i 0.0216115 + 0.0665135i
\(347\) 6.98295 + 3.55799i 0.374864 + 0.191003i 0.631264 0.775568i \(-0.282536\pi\)
−0.256400 + 0.966571i \(0.582536\pi\)
\(348\) 8.22670 + 5.81300i 0.440998 + 0.311610i
\(349\) 9.37804i 0.501995i −0.967988 0.250997i \(-0.919241\pi\)
0.967988 0.250997i \(-0.0807586\pi\)
\(350\) −4.35759 9.02268i −0.232923 0.482282i
\(351\) −7.36006 6.80006i −0.392851 0.362961i
\(352\) −0.631467 3.98692i −0.0336573 0.212504i
\(353\) 6.61368 12.9801i 0.352010 0.690859i −0.645317 0.763915i \(-0.723275\pi\)
0.997328 + 0.0730551i \(0.0232749\pi\)
\(354\) 3.61612 7.33434i 0.192194 0.389816i
\(355\) −0.0829681 1.22037i −0.00440349 0.0647703i
\(356\) −13.5032 4.38746i −0.715669 0.232535i
\(357\) −0.179690 13.6373i −0.00951021 0.721761i
\(358\) 10.4875 + 20.5829i 0.554283 + 1.08784i
\(359\) −9.55110 + 6.93928i −0.504088 + 0.366241i −0.810576 0.585633i \(-0.800846\pi\)
0.306488 + 0.951874i \(0.400846\pi\)
\(360\) 5.16870 + 4.27605i 0.272414 + 0.225367i
\(361\) 21.5264 + 15.6398i 1.13297 + 0.823148i
\(362\) −2.53804 + 16.0246i −0.133397 + 0.842233i
\(363\) −5.48727 7.34704i −0.288007 0.385619i
\(364\) −2.27153 + 3.12650i −0.119061 + 0.163873i
\(365\) 1.48804 16.6382i 0.0778875 0.870883i
\(366\) 0.918864 + 0.133149i 0.0480298 + 0.00695979i
\(367\) −2.40607 + 1.22595i −0.125596 + 0.0639943i −0.515659 0.856794i \(-0.672453\pi\)
0.390064 + 0.920788i \(0.372453\pi\)
\(368\) −1.43483 1.43483i −0.0747959 0.0747959i
\(369\) 3.70449 + 1.09663i 0.192848 + 0.0570883i
\(370\) 3.48797 13.8753i 0.181331 0.721340i
\(371\) −20.8315 + 6.76857i −1.08152 + 0.351407i
\(372\) 5.19376 + 15.2960i 0.269284 + 0.793062i
\(373\) −21.1854 + 3.35543i −1.09694 + 0.173738i −0.678566 0.734539i \(-0.737398\pi\)
−0.418370 + 0.908277i \(0.637398\pi\)
\(374\) 15.8610 0.820154
\(375\) −7.74562 + 17.7484i −0.399982 + 0.916523i
\(376\) 1.32516 0.0683401
\(377\) 11.0774 1.75448i 0.570514 0.0903605i
\(378\) 9.76839 3.60660i 0.502432 0.185504i
\(379\) −10.0630 + 3.26966i −0.516901 + 0.167951i −0.555838 0.831290i \(-0.687603\pi\)
0.0389376 + 0.999242i \(0.487603\pi\)
\(380\) 3.68156 14.6454i 0.188860 0.751291i
\(381\) 2.95380 + 5.61309i 0.151328 + 0.287567i
\(382\) 3.94052 + 3.94052i 0.201614 + 0.201614i
\(383\) 0.124163 0.0632642i 0.00634444 0.00323265i −0.450815 0.892617i \(-0.648867\pi\)
0.457160 + 0.889385i \(0.348867\pi\)
\(384\) −0.248390 + 1.71415i −0.0126756 + 0.0874747i
\(385\) 1.61128 18.0162i 0.0821187 0.918192i
\(386\) 5.08842 7.00360i 0.258994 0.356474i
\(387\) −3.69966 + 28.1390i −0.188064 + 1.43039i
\(388\) −1.66415 + 10.5070i −0.0844846 + 0.533415i
\(389\) 28.0002 + 20.3434i 1.41967 + 1.03145i 0.991826 + 0.127596i \(0.0407260\pi\)
0.427842 + 0.903854i \(0.359274\pi\)
\(390\) 7.44435 0.604745i 0.376959 0.0306225i
\(391\) 6.45042 4.68650i 0.326212 0.237007i
\(392\) 1.35476 + 2.65886i 0.0684255 + 0.134293i
\(393\) 4.27855 0.0563759i 0.215824 0.00284379i
\(394\) 16.8632 + 5.47918i 0.849555 + 0.276037i
\(395\) −1.62807 23.9470i −0.0819170 1.20490i
\(396\) 4.04431 + 11.4146i 0.203234 + 0.573604i
\(397\) 13.8341 27.1510i 0.694315 1.36267i −0.227017 0.973891i \(-0.572897\pi\)
0.921331 0.388778i \(-0.127103\pi\)
\(398\) −1.62057 10.2319i −0.0812318 0.512877i
\(399\) −16.7921 16.3553i −0.840656 0.818790i
\(400\) −4.95399 + 0.676734i −0.247700 + 0.0338367i
\(401\) 0.718503i 0.0358803i 0.999839 + 0.0179402i \(0.00571084\pi\)
−0.999839 + 0.0179402i \(0.994289\pi\)
\(402\) 1.51551 2.14479i 0.0755868 0.106972i
\(403\) 16.0252 + 8.16524i 0.798272 + 0.406740i
\(404\) −3.69594 11.3749i −0.183880 0.565925i
\(405\) −17.5859 9.78456i −0.873848 0.486199i
\(406\) −3.60148 + 11.0842i −0.178738 + 0.550100i
\(407\) 18.2627 18.2627i 0.905248 0.905248i
\(408\) −6.49977 2.01762i −0.321787 0.0998871i
\(409\) 1.73765 + 2.39167i 0.0859211 + 0.118260i 0.849814 0.527083i \(-0.176714\pi\)
−0.763893 + 0.645343i \(0.776714\pi\)
\(410\) −2.47117 + 1.47834i −0.122042 + 0.0730099i
\(411\) 1.33134 + 7.74396i 0.0656701 + 0.381981i
\(412\) 2.86516 + 0.453797i 0.141156 + 0.0223570i
\(413\) 9.34463 + 1.48004i 0.459819 + 0.0728282i
\(414\) 5.01745 + 3.44713i 0.246594 + 0.169417i
\(415\) 1.68280 + 7.35377i 0.0826053 + 0.360982i
\(416\) 1.13352 + 1.56015i 0.0555753 + 0.0764928i
\(417\) 2.94659 9.49243i 0.144295 0.464846i
\(418\) 19.2763 19.2763i 0.942835 0.942835i
\(419\) −0.976706 + 3.00599i −0.0477152 + 0.146852i −0.972075 0.234668i \(-0.924600\pi\)
0.924360 + 0.381521i \(0.124600\pi\)
\(420\) −2.95207 + 7.17800i −0.144046 + 0.350250i
\(421\) −3.57566 11.0047i −0.174267 0.536338i 0.825332 0.564647i \(-0.190988\pi\)
−0.999599 + 0.0283089i \(0.990988\pi\)
\(422\) −19.6694 10.0220i −0.957489 0.487865i
\(423\) −3.90880 + 0.725145i −0.190052 + 0.0352578i
\(424\) 10.9301i 0.530812i
\(425\) 0.418753 19.6420i 0.0203125 0.952775i
\(426\) −0.661080 + 0.678734i −0.0320294 + 0.0328848i
\(427\) 0.168045 + 1.06100i 0.00813228 + 0.0513452i
\(428\) −6.67790 + 13.1061i −0.322789 + 0.633508i
\(429\) 12.0931 + 5.96237i 0.583860 + 0.287866i
\(430\) −13.5662 16.2312i −0.654223 0.782737i
\(431\) 24.8006 + 8.05821i 1.19460 + 0.388150i 0.837773 0.546019i \(-0.183857\pi\)
0.356831 + 0.934169i \(0.383857\pi\)
\(432\) −0.205335 5.19209i −0.00987916 0.249805i
\(433\) 6.52479 + 12.8056i 0.313561 + 0.615399i 0.992971 0.118361i \(-0.0377639\pi\)
−0.679409 + 0.733759i \(0.737764\pi\)
\(434\) −15.1203 + 10.9856i −0.725799 + 0.527324i
\(435\) 20.7881 8.67207i 0.996711 0.415794i
\(436\) −10.1338 7.36263i −0.485321 0.352606i
\(437\) 2.14373 13.5350i 0.102548 0.647466i
\(438\) −10.3670 + 7.74281i −0.495356 + 0.369966i
\(439\) 2.49050 3.42787i 0.118865 0.163604i −0.745438 0.666575i \(-0.767760\pi\)
0.864303 + 0.502971i \(0.167760\pi\)
\(440\) −8.30180 3.54284i −0.395773 0.168898i
\(441\) −5.45105 7.10142i −0.259574 0.338163i
\(442\) −6.75156 + 3.44009i −0.321139 + 0.163628i
\(443\) −18.5118 18.5118i −0.879523 0.879523i 0.113962 0.993485i \(-0.463646\pi\)
−0.993485 + 0.113962i \(0.963646\pi\)
\(444\) −9.80709 + 5.16083i −0.465424 + 0.244922i
\(445\) −24.3597 + 20.3602i −1.15476 + 0.965165i
\(446\) −14.2556 + 4.63193i −0.675022 + 0.219328i
\(447\) 25.1737 8.54771i 1.19067 0.404293i
\(448\) −1.97930 + 0.313490i −0.0935130 + 0.0148110i
\(449\) 36.0779 1.70262 0.851311 0.524662i \(-0.175808\pi\)
0.851311 + 0.524662i \(0.175808\pi\)
\(450\) 14.2423 4.70703i 0.671390 0.221891i
\(451\) −5.19836 −0.244781
\(452\) 14.3852 2.27840i 0.676624 0.107167i
\(453\) −37.2226 + 12.6389i −1.74887 + 0.593828i
\(454\) −3.63578 + 1.18134i −0.170635 + 0.0554428i
\(455\) 3.22166 + 8.01843i 0.151034 + 0.375910i
\(456\) −10.3514 + 5.44727i −0.484749 + 0.255092i
\(457\) 12.7889 + 12.7889i 0.598241 + 0.598241i 0.939844 0.341604i \(-0.110970\pi\)
−0.341604 + 0.939844i \(0.610970\pi\)
\(458\) 20.0649 10.2236i 0.937570 0.477716i
\(459\) 20.2762 + 2.39457i 0.946414 + 0.111769i
\(460\) −4.42302 + 1.01214i −0.206224 + 0.0471913i
\(461\) 10.1363 13.9514i 0.472092 0.649779i −0.504869 0.863196i \(-0.668459\pi\)
0.976961 + 0.213417i \(0.0684592\pi\)
\(462\) −11.2257 + 8.38410i −0.522265 + 0.390064i
\(463\) −0.946894 + 5.97845i −0.0440059 + 0.277842i −0.999873 0.0159582i \(-0.994920\pi\)
0.955867 + 0.293800i \(0.0949201\pi\)
\(464\) 4.70506 + 3.41843i 0.218427 + 0.158696i
\(465\) 35.1440 + 8.34380i 1.62976 + 0.386934i
\(466\) 13.9091 10.1055i 0.644325 0.468130i
\(467\) −0.901038 1.76839i −0.0416951 0.0818311i 0.869219 0.494427i \(-0.164622\pi\)
−0.910914 + 0.412596i \(0.864622\pi\)
\(468\) −4.19724 3.98166i −0.194017 0.184053i
\(469\) 2.88977 + 0.938944i 0.133437 + 0.0433564i
\(470\) 1.57508 2.50986i 0.0726532 0.115771i
\(471\) 0.947336 + 0.467073i 0.0436509 + 0.0215216i
\(472\) 2.14337 4.20661i 0.0986568 0.193625i
\(473\) −5.97392 37.7178i −0.274681 1.73427i
\(474\) −12.9722 + 13.3187i −0.595835 + 0.611747i
\(475\) −23.3624 24.3803i −1.07194 1.11864i
\(476\) 7.87416i 0.360912i
\(477\) −5.98107 32.2401i −0.273854 1.47617i
\(478\) −3.05839 1.55833i −0.139887 0.0712762i
\(479\) −10.9260 33.6268i −0.499222 1.53645i −0.810273 0.586053i \(-0.800681\pi\)
0.311051 0.950393i \(-0.399319\pi\)
\(480\) 2.95136 + 2.50788i 0.134711 + 0.114468i
\(481\) −3.81289 + 11.7349i −0.173853 + 0.535064i
\(482\) 6.05568 6.05568i 0.275829 0.275829i
\(483\) −2.08802 + 6.72655i −0.0950081 + 0.306069i
\(484\) −3.11192 4.28319i −0.141451 0.194690i
\(485\) 17.9224 + 15.6405i 0.813812 + 0.710200i
\(486\) 3.44685 + 15.2026i 0.156352 + 0.689604i
\(487\) 24.6253 + 3.90026i 1.11588 + 0.176738i 0.687023 0.726636i \(-0.258917\pi\)
0.428855 + 0.903373i \(0.358917\pi\)
\(488\) 0.529448 + 0.0838563i 0.0239670 + 0.00379599i
\(489\) −6.95759 40.4700i −0.314633 1.83012i
\(490\) 6.64614 + 0.594399i 0.300242 + 0.0268522i
\(491\) 3.22682 + 4.44133i 0.145624 + 0.200434i 0.875598 0.483041i \(-0.160468\pi\)
−0.729974 + 0.683475i \(0.760468\pi\)
\(492\) 2.13026 + 0.661264i 0.0960396 + 0.0298121i
\(493\) −16.1587 + 16.1587i −0.727750 + 0.727750i
\(494\) −4.02451 + 12.3862i −0.181071 + 0.557280i
\(495\) 26.4263 + 5.90738i 1.18777 + 0.265517i
\(496\) 2.88201 + 8.86991i 0.129406 + 0.398271i
\(497\) −0.976739 0.497673i −0.0438127 0.0223237i
\(498\) 3.37211 4.77229i 0.151108 0.213851i
\(499\) 0.383555i 0.0171703i 0.999963 + 0.00858514i \(0.00273277\pi\)
−0.999963 + 0.00858514i \(0.997267\pi\)
\(500\) −4.60656 + 10.1872i −0.206012 + 0.455587i
\(501\) 4.22404 + 4.11417i 0.188716 + 0.183808i
\(502\) 1.86818 + 11.7952i 0.0833810 + 0.526447i
\(503\) −3.58816 + 7.04217i −0.159988 + 0.313995i −0.957060 0.289890i \(-0.906381\pi\)
0.797072 + 0.603885i \(0.206381\pi\)
\(504\) 5.66673 2.00779i 0.252416 0.0894339i
\(505\) −25.9371 6.52009i −1.15419 0.290140i
\(506\) −7.79006 2.53115i −0.346311 0.112523i
\(507\) 16.0739 0.211796i 0.713866 0.00940619i
\(508\) 1.66253 + 3.26290i 0.0737630 + 0.144768i
\(509\) −20.5303 + 14.9162i −0.909990 + 0.661147i −0.941012 0.338372i \(-0.890124\pi\)
0.0310220 + 0.999519i \(0.490124\pi\)
\(510\) −11.5470 + 9.91243i −0.511309 + 0.438930i
\(511\) −12.1116 8.79956i −0.535784 0.389270i
\(512\) −0.156434 + 0.987688i −0.00691349 + 0.0436501i
\(513\) 27.5524 21.7320i 1.21647 0.959493i
\(514\) 1.74029 2.39531i 0.0767611 0.105653i
\(515\) 4.26501 4.88724i 0.187939 0.215357i
\(516\) −2.34986 + 16.2165i −0.103447 + 0.713892i
\(517\) 4.76616 2.42848i 0.209615 0.106804i
\(518\) −9.06647 9.06647i −0.398358 0.398358i
\(519\) −1.04930 1.99398i −0.0460591 0.0875258i
\(520\) 4.30223 0.292492i 0.188665 0.0128266i
\(521\) 19.7375 6.41311i 0.864716 0.280963i 0.157119 0.987580i \(-0.449779\pi\)
0.707597 + 0.706616i \(0.249779\pi\)
\(522\) −15.7490 7.50856i −0.689314 0.328641i
\(523\) 17.5234 2.77544i 0.766246 0.121361i 0.238937 0.971035i \(-0.423201\pi\)
0.527309 + 0.849674i \(0.323201\pi\)
\(524\) 2.47044 0.107922
\(525\) 10.0863 + 14.1230i 0.440203 + 0.616377i
\(526\) 22.7216 0.990710
\(527\) −36.1948 + 5.73269i −1.57667 + 0.249720i
\(528\) 2.24795 + 6.62039i 0.0978296 + 0.288116i
\(529\) 17.9583 5.83501i 0.780797 0.253696i
\(530\) 20.7016 + 12.9914i 0.899220 + 0.564313i
\(531\) −4.02034 + 13.5810i −0.174468 + 0.589365i
\(532\) −9.56966 9.56966i −0.414898 0.414898i
\(533\) 2.21278 1.12747i 0.0958463 0.0488361i
\(534\) 24.3377 + 3.52666i 1.05319 + 0.152614i
\(535\) 16.8857 + 28.2258i 0.730032 + 1.22031i
\(536\) 0.891220 1.22666i 0.0384948 0.0529836i
\(537\) −23.9427 32.0574i −1.03320 1.38338i
\(538\) 1.88712 11.9148i 0.0813595 0.513684i
\(539\) 9.74519 + 7.08029i 0.419755 + 0.304970i
\(540\) −10.0779 5.78240i −0.433683 0.248835i
\(541\) 10.0053 7.26924i 0.430160 0.312529i −0.351553 0.936168i \(-0.614346\pi\)
0.781713 + 0.623639i \(0.214346\pi\)
\(542\) −3.74318 7.34640i −0.160783 0.315555i
\(543\) −0.370243 28.0989i −0.0158886 1.20584i
\(544\) −3.73697 1.21422i −0.160221 0.0520591i
\(545\) −25.9898 + 10.4422i −1.11328 + 0.447296i
\(546\) 2.96000 6.00358i 0.126676 0.256930i
\(547\) −12.0831 + 23.7144i −0.516636 + 1.01396i 0.474393 + 0.880313i \(0.342667\pi\)
−0.991030 + 0.133643i \(0.957333\pi\)
\(548\) 0.709676 + 4.48072i 0.0303159 + 0.191407i
\(549\) −1.60758 + 0.0423717i −0.0686100 + 0.00180838i
\(550\) −16.5776 + 11.5126i −0.706872 + 0.490899i
\(551\) 39.2761i 1.67322i
\(552\) 2.87035 + 2.02820i 0.122170 + 0.0863257i
\(553\) −19.1664 9.76575i −0.815036 0.415282i
\(554\) −2.59742 7.99403i −0.110354 0.339634i
\(555\) −1.88204 + 24.7088i −0.0798883 + 1.04883i
\(556\) 1.77327 5.45757i 0.0752034 0.231452i
\(557\) −28.3195 + 28.3195i −1.19993 + 1.19993i −0.225748 + 0.974186i \(0.572483\pi\)
−0.974186 + 0.225748i \(0.927517\pi\)
\(558\) −13.3547 24.5862i −0.565349 1.04082i
\(559\) 10.7235 + 14.7597i 0.453556 + 0.624267i
\(560\) −1.75883 + 4.12140i −0.0743243 + 0.174161i
\(561\) −27.0749 + 4.65471i −1.14310 + 0.196522i
\(562\) 0.223035 + 0.0353253i 0.00940816 + 0.00149011i
\(563\) 8.73181 + 1.38298i 0.368002 + 0.0582858i 0.337697 0.941255i \(-0.390352\pi\)
0.0303051 + 0.999541i \(0.490352\pi\)
\(564\) −2.26206 + 0.388893i −0.0952501 + 0.0163754i
\(565\) 12.7829 29.9537i 0.537782 1.26016i
\(566\) 13.2327 + 18.2133i 0.556214 + 0.765563i
\(567\) −15.6163 + 9.02321i −0.655823 + 0.378939i
\(568\) −0.386804 + 0.386804i −0.0162300 + 0.0162300i
\(569\) −7.02196 + 21.6114i −0.294376 + 0.905996i 0.689054 + 0.724710i \(0.258026\pi\)
−0.983430 + 0.181286i \(0.941974\pi\)
\(570\) −1.98650 + 26.0802i −0.0832053 + 1.09238i
\(571\) −8.54837 26.3092i −0.357738 1.10101i −0.954405 0.298516i \(-0.903508\pi\)
0.596666 0.802489i \(-0.296492\pi\)
\(572\) 6.93599 + 3.53406i 0.290008 + 0.147767i
\(573\) −7.88291 5.57008i −0.329313 0.232693i
\(574\) 2.58071i 0.107717i
\(575\) −3.34018 + 9.58022i −0.139295 + 0.399523i
\(576\) −0.0790447 2.99896i −0.00329353 0.124957i
\(577\) 1.72432 + 10.8869i 0.0717842 + 0.453228i 0.997232 + 0.0743526i \(0.0236890\pi\)
−0.925448 + 0.378875i \(0.876311\pi\)
\(578\) −0.708558 + 1.39062i −0.0294721 + 0.0578423i
\(579\) −6.63063 + 13.4485i −0.275560 + 0.558901i
\(580\) 12.0669 4.84826i 0.501051 0.201313i
\(581\) 6.42992 + 2.08921i 0.266758 + 0.0866750i
\(582\) −0.242762 18.4240i −0.0100628 0.763699i
\(583\) 20.0303 + 39.3117i 0.829572 + 1.62813i
\(584\) −6.04378 + 4.39106i −0.250093 + 0.181704i
\(585\) −12.5301 + 3.21699i −0.518056 + 0.133006i
\(586\) −9.05430 6.57833i −0.374030 0.271749i
\(587\) 3.29168 20.7828i 0.135862 0.857800i −0.821773 0.569815i \(-0.807015\pi\)
0.957635 0.287985i \(-0.0929852\pi\)
\(588\) −3.09287 4.14112i −0.127548 0.170777i
\(589\) −37.0213 + 50.9555i −1.52544 + 2.09958i
\(590\) −5.41972 9.05951i −0.223126 0.372974i
\(591\) −30.3935 4.40420i −1.25022 0.181164i
\(592\) −5.70089 + 2.90475i −0.234305 + 0.119385i
\(593\) −10.8276 10.8276i −0.444635 0.444635i 0.448931 0.893566i \(-0.351805\pi\)
−0.893566 + 0.448931i \(0.851805\pi\)
\(594\) −10.2535 18.2979i −0.420706 0.750771i
\(595\) −14.9137 9.35920i −0.611401 0.383690i
\(596\) 14.5978 4.74310i 0.597948 0.194285i
\(597\) 5.76905 + 16.9903i 0.236112 + 0.695367i
\(598\) 3.86497 0.612151i 0.158050 0.0250327i
\(599\) −20.9614 −0.856459 −0.428230 0.903670i \(-0.640863\pi\)
−0.428230 + 0.903670i \(0.640863\pi\)
\(600\) 8.25790 2.60903i 0.337127 0.106513i
\(601\) −24.3199 −0.992029 −0.496015 0.868314i \(-0.665204\pi\)
−0.496015 + 0.868314i \(0.665204\pi\)
\(602\) −18.7249 + 2.96573i −0.763170 + 0.120874i
\(603\) −1.95756 + 4.10593i −0.0797181 + 0.167206i
\(604\) −21.5847 + 7.01330i −0.878270 + 0.285367i
\(605\) −11.8112 + 0.802997i −0.480192 + 0.0326465i
\(606\) 9.64719 + 18.3325i 0.391890 + 0.744706i
\(607\) −12.8780 12.8780i −0.522702 0.522702i 0.395685 0.918386i \(-0.370507\pi\)
−0.918386 + 0.395685i \(0.870507\pi\)
\(608\) −6.01730 + 3.06597i −0.244034 + 0.124341i
\(609\) 2.89489 19.9778i 0.117307 0.809539i
\(610\) 0.788123 0.903103i 0.0319102 0.0365656i
\(611\) −1.50210 + 2.06746i −0.0607683 + 0.0836404i
\(612\) 11.6873 + 1.53662i 0.472430 + 0.0621142i
\(613\) 1.91504 12.0911i 0.0773477 0.488354i −0.918356 0.395756i \(-0.870483\pi\)
0.995704 0.0925984i \(-0.0295173\pi\)
\(614\) 8.01488 + 5.82315i 0.323454 + 0.235003i
\(615\) 3.78446 3.24874i 0.152604 0.131002i
\(616\) −6.54435 + 4.75475i −0.263679 + 0.191574i
\(617\) 11.6432 + 22.8510i 0.468737 + 0.919948i 0.997465 + 0.0711569i \(0.0226691\pi\)
−0.528728 + 0.848791i \(0.677331\pi\)
\(618\) −5.02403 + 0.0661986i −0.202096 + 0.00266290i
\(619\) −28.2577 9.18149i −1.13577 0.369035i −0.320006 0.947415i \(-0.603685\pi\)
−0.815767 + 0.578380i \(0.803685\pi\)
\(620\) 20.2252 + 5.08421i 0.812262 + 0.204187i
\(621\) −9.57645 4.41182i −0.384290 0.177040i
\(622\) 5.51989 10.8334i 0.221328 0.434380i
\(623\) 4.45096 + 28.1023i 0.178324 + 1.12589i
\(624\) −2.39278 2.33054i −0.0957878 0.0932964i
\(625\) 13.8193 + 20.8333i 0.552772 + 0.833333i
\(626\) 24.5881i 0.982739i
\(627\) −27.2478 + 38.5618i −1.08817 + 1.54001i
\(628\) 0.543344 + 0.276848i 0.0216818 + 0.0110474i
\(629\) −7.76887 23.9101i −0.309765 0.953359i
\(630\) 2.93270 13.1192i 0.116842 0.522683i
\(631\) −0.858936 + 2.64353i −0.0341937 + 0.105237i −0.966697 0.255925i \(-0.917620\pi\)
0.932503 + 0.361162i \(0.117620\pi\)
\(632\) −7.59019 + 7.59019i −0.301922 + 0.301922i
\(633\) 36.5169 + 11.3354i 1.45142 + 0.450540i
\(634\) −6.13203 8.44002i −0.243534 0.335196i
\(635\) 8.15602 + 0.729435i 0.323662 + 0.0289468i
\(636\) −3.20763 18.6577i −0.127191 0.739827i
\(637\) −5.68387 0.900236i −0.225203 0.0356687i
\(638\) 23.1870 + 3.67247i 0.917984 + 0.145394i
\(639\) 0.929282 1.35261i 0.0367618 0.0535084i
\(640\) 1.68475 + 1.47025i 0.0665954 + 0.0581167i
\(641\) 18.3443 + 25.2487i 0.724554 + 0.997264i 0.999360 + 0.0357639i \(0.0113864\pi\)
−0.274806 + 0.961500i \(0.588614\pi\)
\(642\) 7.55300 24.3320i 0.298093 0.960308i
\(643\) 23.9422 23.9422i 0.944188 0.944188i −0.0543345 0.998523i \(-0.517304\pi\)
0.998523 + 0.0543345i \(0.0173037\pi\)
\(644\) −1.25658 + 3.86736i −0.0495162 + 0.152395i
\(645\) 27.9210 + 23.7255i 1.09939 + 0.934191i
\(646\) −8.20005 25.2372i −0.322627 0.992942i
\(647\) −0.500806 0.255174i −0.0196887 0.0100319i 0.444118 0.895968i \(-0.353517\pi\)
−0.463807 + 0.885936i \(0.653517\pi\)
\(648\) 1.87422 + 8.80269i 0.0736264 + 0.345802i
\(649\) 19.0576i 0.748078i
\(650\) 4.55963 8.49608i 0.178843 0.333244i
\(651\) 22.5866 23.1898i 0.885239 0.908879i
\(652\) −3.70877 23.4163i −0.145247 0.917052i
\(653\) −10.9835 + 21.5563i −0.429816 + 0.843562i 0.569944 + 0.821683i \(0.306965\pi\)
−0.999761 + 0.0218786i \(0.993035\pi\)
\(654\) 19.4592 + 9.59412i 0.760913 + 0.375160i
\(655\) 2.93635 4.67901i 0.114733 0.182824i
\(656\) 1.22477 + 0.397952i 0.0478193 + 0.0155374i
\(657\) 15.4243 16.2594i 0.601760 0.634341i
\(658\) −1.20561 2.36614i −0.0469996 0.0922419i
\(659\) 4.30697 3.12920i 0.167776 0.121896i −0.500729 0.865604i \(-0.666935\pi\)
0.668505 + 0.743708i \(0.266935\pi\)
\(660\) 15.2109 + 3.61135i 0.592085 + 0.140571i
\(661\) −10.9702 7.97029i −0.426690 0.310008i 0.353634 0.935384i \(-0.384946\pi\)
−0.780324 + 0.625376i \(0.784946\pi\)
\(662\) −2.89729 + 18.2928i −0.112606 + 0.710969i
\(663\) 10.5154 7.85363i 0.408384 0.305010i
\(664\) 1.98302 2.72939i 0.0769561 0.105921i
\(665\) −29.4994 + 6.75049i −1.14394 + 0.261773i
\(666\) 15.2262 11.6877i 0.590005 0.452887i
\(667\) 10.5149 5.35761i 0.407138 0.207447i
\(668\) 2.40724 + 2.40724i 0.0931391 + 0.0931391i
\(669\) 22.9751 12.0903i 0.888269 0.467438i
\(670\) −1.26399 3.14597i −0.0488323 0.121540i
\(671\) 2.05791 0.668657i 0.0794449 0.0258132i
\(672\) 3.28668 1.11599i 0.126786 0.0430503i
\(673\) 48.7489 7.72106i 1.87913 0.297625i 0.891331 0.453353i \(-0.149772\pi\)
0.987800 + 0.155727i \(0.0497721\pi\)
\(674\) −11.8757 −0.457435
\(675\) −22.9304 + 12.2146i −0.882592 + 0.470140i
\(676\) 9.28106 0.356964
\(677\) 3.02000 0.478321i 0.116068 0.0183834i −0.0981301 0.995174i \(-0.531286\pi\)
0.214198 + 0.976790i \(0.431286\pi\)
\(678\) −23.8871 + 8.11085i −0.917377 + 0.311495i
\(679\) 20.2749 6.58771i 0.778078 0.252813i
\(680\) −6.74147 + 5.63461i −0.258524 + 0.216078i
\(681\) 5.85962 3.08353i 0.224541 0.118161i
\(682\) 26.6205 + 26.6205i 1.01935 + 1.01935i
\(683\) 31.2546 15.9250i 1.19592 0.609353i 0.261391 0.965233i \(-0.415819\pi\)
0.934532 + 0.355880i \(0.115819\pi\)
\(684\) 16.0713 12.3363i 0.614502 0.471691i
\(685\) 9.33000 + 3.98163i 0.356481 + 0.152130i
\(686\) 11.7603 16.1867i 0.449011 0.618011i
\(687\) −31.2506 + 23.3401i −1.19229 + 0.890481i
\(688\) −1.47993 + 9.34391i −0.0564218 + 0.356233i
\(689\) −17.0526 12.3894i −0.649652 0.472000i
\(690\) 7.25309 3.02575i 0.276121 0.115188i
\(691\) −2.34860 + 1.70636i −0.0893451 + 0.0649130i −0.631561 0.775326i \(-0.717585\pi\)
0.542216 + 0.840239i \(0.317585\pi\)
\(692\) −0.590593 1.15910i −0.0224510 0.0440625i
\(693\) 16.7018 17.6061i 0.634450 0.668800i
\(694\) −7.45357 2.42181i −0.282934 0.0919307i
\(695\) −8.22893 9.84542i −0.312141 0.373458i
\(696\) −9.03477 4.45449i −0.342462 0.168847i
\(697\) −2.29725 + 4.50861i −0.0870146 + 0.170776i
\(698\) 1.46705 + 9.26258i 0.0555286 + 0.350594i
\(699\) −20.7773 + 21.3321i −0.785868 + 0.806854i
\(700\) 5.71540 + 8.22992i 0.216022 + 0.311062i
\(701\) 5.87338i 0.221834i −0.993830 0.110917i \(-0.964621\pi\)
0.993830 0.110917i \(-0.0353788\pi\)
\(702\) 8.33321 + 5.56498i 0.314517 + 0.210037i
\(703\) −38.5003 19.6169i −1.45206 0.739864i
\(704\) 1.24738 + 3.83905i 0.0470126 + 0.144690i
\(705\) −1.95212 + 4.74659i −0.0735209 + 0.178767i
\(706\) −4.50172 + 13.8549i −0.169424 + 0.521435i
\(707\) −16.9480 + 16.9480i −0.637396 + 0.637396i
\(708\) −2.42425 + 7.80973i −0.0911089 + 0.293508i
\(709\) 10.1538 + 13.9755i 0.381335 + 0.524862i 0.955938 0.293570i \(-0.0948434\pi\)
−0.574603 + 0.818432i \(0.694843\pi\)
\(710\) 0.272854 + 1.19236i 0.0102400 + 0.0447486i
\(711\) 18.2351 26.5420i 0.683871 0.995403i
\(712\) 14.0233 + 2.22107i 0.525546 + 0.0832383i
\(713\) 18.6917 + 2.96048i 0.700011 + 0.110871i
\(714\) 2.31082 + 13.4413i 0.0864801 + 0.503026i
\(715\) 14.9376 8.93620i 0.558635 0.334195i
\(716\) −13.5783 18.6889i −0.507444 0.698437i
\(717\) 5.67801 + 1.76254i 0.212049 + 0.0658231i
\(718\) 8.34797 8.34797i 0.311544 0.311544i
\(719\) 12.3239 37.9289i 0.459602 1.41451i −0.406044 0.913854i \(-0.633092\pi\)
0.865646 0.500656i \(-0.166908\pi\)
\(720\) −5.77398 3.41484i −0.215184 0.127264i
\(721\) −1.79640 5.52874i −0.0669013 0.205901i
\(722\) −23.7079 12.0798i −0.882318 0.449563i
\(723\) −8.55995 + 12.1143i −0.318348 + 0.450534i
\(724\) 16.2243i 0.602972i
\(725\) 5.16007 28.6174i 0.191640 1.06282i
\(726\) 6.56905 + 6.39818i 0.243800 + 0.237459i
\(727\) 3.26644 + 20.6235i 0.121146 + 0.764883i 0.971214 + 0.238210i \(0.0765608\pi\)
−0.850068 + 0.526673i \(0.823439\pi\)
\(728\) 1.75448 3.44335i 0.0650252 0.127619i
\(729\) −10.3453 24.9394i −0.383158 0.923683i
\(730\) 1.13307 + 16.6661i 0.0419367 + 0.616841i
\(731\) −35.3532 11.4869i −1.30758 0.424860i
\(732\) −0.928380 + 0.0122327i −0.0343139 + 0.000452134i
\(733\) 4.26895 + 8.37829i 0.157677 + 0.309459i 0.956307 0.292363i \(-0.0944416\pi\)
−0.798630 + 0.601822i \(0.794442\pi\)
\(734\) 2.18467 1.58725i 0.0806375 0.0585866i
\(735\) −11.5195 + 0.935788i −0.424901 + 0.0345170i
\(736\) 1.64163 + 1.19271i 0.0605112 + 0.0439639i
\(737\) 0.957451 6.04511i 0.0352682 0.222674i
\(738\) −3.83043 0.503619i −0.141000 0.0185385i
\(739\) 0.0758416 0.104387i 0.00278988 0.00383994i −0.807620 0.589704i \(-0.799245\pi\)
0.810410 + 0.585864i \(0.199245\pi\)
\(740\) −1.27446 + 14.2501i −0.0468500 + 0.523843i
\(741\) 3.23492 22.3243i 0.118838 0.820105i
\(742\) 19.5162 9.94400i 0.716462 0.365056i
\(743\) 7.88637 + 7.88637i 0.289323 + 0.289323i 0.836812 0.547490i \(-0.184416\pi\)
−0.547490 + 0.836812i \(0.684416\pi\)
\(744\) −7.52264 14.2952i −0.275794 0.524088i
\(745\) 8.36741 33.2858i 0.306558 1.21950i
\(746\) 20.3996 6.62824i 0.746883 0.242677i
\(747\) −4.35570 + 9.13594i −0.159367 + 0.334267i
\(748\) −15.6658 + 2.48121i −0.572797 + 0.0907221i
\(749\) 29.4771 1.07707
\(750\) 4.87380 18.7416i 0.177966 0.684345i
\(751\) 24.5205 0.894768 0.447384 0.894342i \(-0.352356\pi\)
0.447384 + 0.894342i \(0.352356\pi\)
\(752\) −1.30885 + 0.207301i −0.0477288 + 0.00755950i
\(753\) −6.65052 19.5863i −0.242359 0.713764i
\(754\) −10.6665 + 3.46577i −0.388452 + 0.126216i
\(755\) −12.3723 + 49.2175i −0.450275 + 1.79121i
\(756\) −9.08393 + 5.09031i −0.330379 + 0.185133i
\(757\) 13.4521 + 13.4521i 0.488924 + 0.488924i 0.907967 0.419042i \(-0.137634\pi\)
−0.419042 + 0.907967i \(0.637634\pi\)
\(758\) 9.42760 4.80360i 0.342426 0.174475i
\(759\) 14.0405 + 2.03455i 0.509638 + 0.0738495i
\(760\) −1.34519 + 15.0410i −0.0487952 + 0.545593i
\(761\) −9.74504 + 13.4129i −0.353258 + 0.486217i −0.948255 0.317510i \(-0.897153\pi\)
0.594997 + 0.803728i \(0.297153\pi\)
\(762\) −3.79552 5.08190i −0.137497 0.184098i
\(763\) −3.92679 + 24.7928i −0.142159 + 0.897559i
\(764\) −4.50844 3.27557i −0.163109 0.118506i
\(765\) 16.8018 20.3093i 0.607470 0.734283i
\(766\) −0.112738 + 0.0819087i −0.00407338 + 0.00295948i
\(767\) 4.13340 + 8.11226i 0.149249 + 0.292917i
\(768\) −0.0228202 1.73190i −0.000823454 0.0624946i
\(769\) −24.2927 7.89319i −0.876018 0.284636i −0.163715 0.986508i \(-0.552348\pi\)
−0.712303 + 0.701872i \(0.752348\pi\)
\(770\) 1.22691 + 18.0465i 0.0442149 + 0.650350i
\(771\) −2.26775 + 4.59953i −0.0816710 + 0.165648i
\(772\) −3.93016 + 7.71338i −0.141450 + 0.277611i
\(773\) 1.33889 + 8.45340i 0.0481564 + 0.304048i 0.999997 0.00254649i