Properties

Label 300.2.w.a.67.16
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.16
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.170201 - 1.40393i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.94206 - 0.477901i) q^{4} +(0.0997280 - 2.23384i) q^{5} +(-0.387729 + 1.36002i) q^{6} +(2.03014 - 2.03014i) q^{7} +(-1.00148 + 2.64519i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(0.170201 - 1.40393i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.94206 - 0.477901i) q^{4} +(0.0997280 - 2.23384i) q^{5} +(-0.387729 + 1.36002i) q^{6} +(2.03014 - 2.03014i) q^{7} +(-1.00148 + 2.64519i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-3.11920 - 0.520213i) q^{10} +(-3.90886 + 1.27006i) q^{11} +(1.84339 + 0.775823i) q^{12} +(-2.28342 - 4.48146i) q^{13} +(-2.50466 - 3.19572i) q^{14} +(-0.447950 + 2.19074i) q^{15} +(3.54322 + 1.85623i) q^{16} +(1.11123 + 7.01601i) q^{17} +(0.595710 - 1.28263i) q^{18} +(-5.34832 - 3.88579i) q^{19} +(-1.26123 + 4.29060i) q^{20} +(-2.32273 + 1.68756i) q^{21} +(1.11780 + 5.70394i) q^{22} +(0.683618 - 1.34168i) q^{23} +(1.40295 - 2.45596i) q^{24} +(-4.98011 - 0.445553i) q^{25} +(-6.68031 + 2.44302i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-4.91288 + 2.97246i) q^{28} +(0.370327 + 0.509711i) q^{29} +(2.99941 + 1.00176i) q^{30} +(3.16553 - 4.35697i) q^{31} +(3.20908 - 4.65852i) q^{32} +(4.05941 - 0.642948i) q^{33} +(10.0392 - 0.365961i) q^{34} +(-4.33256 - 4.73748i) q^{35} +(-1.69933 - 1.05464i) q^{36} +(8.74359 - 4.45508i) q^{37} +(-6.36568 + 6.84733i) q^{38} +(1.55425 + 4.78349i) q^{39} +(5.80906 + 2.50095i) q^{40} +(1.20194 - 3.69918i) q^{41} +(1.97390 + 3.54819i) q^{42} +(4.26195 + 4.26195i) q^{43} +(8.19821 - 0.598500i) q^{44} +(0.785142 - 2.09369i) q^{45} +(-1.76727 - 1.18811i) q^{46} +(1.30515 - 8.24040i) q^{47} +(-3.20922 - 2.38766i) q^{48} -1.24297i q^{49} +(-1.47315 + 6.91591i) q^{50} -7.10347i q^{51} +(2.29285 + 9.79453i) q^{52} +(-0.811396 + 5.12295i) q^{53} +(-0.789023 + 1.17365i) q^{54} +(2.44730 + 8.85843i) q^{55} +(3.33696 + 7.40327i) q^{56} +(4.67461 + 4.67461i) q^{57} +(0.778630 - 0.433161i) q^{58} +(1.42595 - 4.38863i) q^{59} +(1.91690 - 4.04048i) q^{60} +(-2.83426 - 8.72296i) q^{61} +(-5.57813 - 5.18575i) q^{62} +(2.55813 - 1.30343i) q^{63} +(-5.99407 - 5.29822i) q^{64} +(-10.2386 + 4.65387i) q^{65} +(-0.211742 - 5.80858i) q^{66} +(11.3977 - 1.80522i) q^{67} +(1.19489 - 14.1566i) q^{68} +(-0.885086 + 1.21822i) q^{69} +(-7.38852 + 5.27631i) q^{70} +(-3.24029 - 4.45988i) q^{71} +(-1.76987 + 2.20625i) q^{72} +(2.13466 + 1.08767i) q^{73} +(-4.76648 - 13.0337i) q^{74} +(4.84910 + 1.21913i) q^{75} +(8.52976 + 10.1024i) q^{76} +(-5.35713 + 10.5140i) q^{77} +(6.98024 - 1.36791i) q^{78} +(-3.03872 + 2.20776i) q^{79} +(4.49988 - 7.72988i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-4.98884 - 2.31704i) q^{82} +(1.25058 + 7.89584i) q^{83} +(5.31739 - 2.16732i) q^{84} +(15.7835 - 1.78261i) q^{85} +(6.70888 - 5.25811i) q^{86} +(-0.286031 - 0.561367i) q^{87} +(0.555087 - 11.6116i) q^{88} +(6.30465 - 2.04851i) q^{89} +(-2.80578 - 1.45864i) q^{90} +(-13.7337 - 4.46234i) q^{91} +(-1.96882 + 2.27892i) q^{92} +(-3.80814 + 3.80814i) q^{93} +(-11.3468 - 3.23487i) q^{94} +(-9.21361 + 11.5598i) q^{95} +(-3.89832 + 4.09915i) q^{96} +(-4.60222 - 0.728920i) q^{97} +(-1.74504 - 0.211554i) q^{98} -4.11001 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.170201 1.40393i 0.120350 0.992732i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) −1.94206 0.477901i −0.971032 0.238950i
\(5\) 0.0997280 2.23384i 0.0445997 0.999005i
\(6\) −0.387729 + 1.36002i −0.158290 + 0.555228i
\(7\) 2.03014 2.03014i 0.767322 0.767322i −0.210312 0.977634i \(-0.567448\pi\)
0.977634 + 0.210312i \(0.0674480\pi\)
\(8\) −1.00148 + 2.64519i −0.354077 + 0.935216i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −3.11920 0.520213i −0.986376 0.164506i
\(11\) −3.90886 + 1.27006i −1.17856 + 0.382939i −0.831833 0.555026i \(-0.812708\pi\)
−0.346731 + 0.937964i \(0.612708\pi\)
\(12\) 1.84339 + 0.775823i 0.532142 + 0.223961i
\(13\) −2.28342 4.48146i −0.633306 1.24293i −0.955145 0.296139i \(-0.904301\pi\)
0.321839 0.946794i \(-0.395699\pi\)
\(14\) −2.50466 3.19572i −0.669398 0.854092i
\(15\) −0.447950 + 2.19074i −0.115660 + 0.565647i
\(16\) 3.54322 + 1.85623i 0.885805 + 0.464057i
\(17\) 1.11123 + 7.01601i 0.269512 + 1.70163i 0.636393 + 0.771365i \(0.280426\pi\)
−0.366880 + 0.930268i \(0.619574\pi\)
\(18\) 0.595710 1.28263i 0.140410 0.302318i
\(19\) −5.34832 3.88579i −1.22699 0.891460i −0.230329 0.973113i \(-0.573980\pi\)
−0.996661 + 0.0816526i \(0.973980\pi\)
\(20\) −1.26123 + 4.29060i −0.282020 + 0.959408i
\(21\) −2.32273 + 1.68756i −0.506862 + 0.368257i
\(22\) 1.11780 + 5.70394i 0.238315 + 1.21608i
\(23\) 0.683618 1.34168i 0.142544 0.279759i −0.808686 0.588240i \(-0.799821\pi\)
0.951230 + 0.308482i \(0.0998209\pi\)
\(24\) 1.40295 2.45596i 0.286376 0.501320i
\(25\) −4.98011 0.445553i −0.996022 0.0891107i
\(26\) −6.68031 + 2.44302i −1.31012 + 0.479116i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) −4.91288 + 2.97246i −0.928446 + 0.561742i
\(29\) 0.370327 + 0.509711i 0.0687679 + 0.0946509i 0.842016 0.539453i \(-0.181369\pi\)
−0.773248 + 0.634104i \(0.781369\pi\)
\(30\) 2.99941 + 1.00176i 0.547615 + 0.182895i
\(31\) 3.16553 4.35697i 0.568546 0.782536i −0.423836 0.905739i \(-0.639317\pi\)
0.992381 + 0.123203i \(0.0393167\pi\)
\(32\) 3.20908 4.65852i 0.567291 0.823518i
\(33\) 4.05941 0.642948i 0.706653 0.111923i
\(34\) 10.0392 0.365961i 1.72170 0.0627617i
\(35\) −4.33256 4.73748i −0.732336 0.800781i
\(36\) −1.69933 1.05464i −0.283222 0.175774i
\(37\) 8.74359 4.45508i 1.43744 0.732411i 0.450389 0.892833i \(-0.351285\pi\)
0.987049 + 0.160422i \(0.0512854\pi\)
\(38\) −6.36568 + 6.84733i −1.03265 + 1.11078i
\(39\) 1.55425 + 4.78349i 0.248879 + 0.765971i
\(40\) 5.80906 + 2.50095i 0.918494 + 0.395435i
\(41\) 1.20194 3.69918i 0.187711 0.577715i −0.812274 0.583277i \(-0.801770\pi\)
0.999985 + 0.00556161i \(0.00177033\pi\)
\(42\) 1.97390 + 3.54819i 0.304579 + 0.547498i
\(43\) 4.26195 + 4.26195i 0.649941 + 0.649941i 0.952979 0.303038i \(-0.0980009\pi\)
−0.303038 + 0.952979i \(0.598001\pi\)
\(44\) 8.19821 0.598500i 1.23593 0.0902272i
\(45\) 0.785142 2.09369i 0.117042 0.312109i
\(46\) −1.76727 1.18811i −0.260570 0.175177i
\(47\) 1.30515 8.24040i 0.190376 1.20199i −0.688608 0.725134i \(-0.741778\pi\)
0.878984 0.476852i \(-0.158222\pi\)
\(48\) −3.20922 2.38766i −0.463211 0.344629i
\(49\) 1.24297i 0.177567i
\(50\) −1.47315 + 6.91591i −0.208334 + 0.978058i
\(51\) 7.10347i 0.994685i
\(52\) 2.29285 + 9.79453i 0.317961 + 1.35826i
\(53\) −0.811396 + 5.12295i −0.111454 + 0.703691i 0.867167 + 0.498018i \(0.165939\pi\)
−0.978621 + 0.205674i \(0.934061\pi\)
\(54\) −0.789023 + 1.17365i −0.107372 + 0.159713i
\(55\) 2.44730 + 8.85843i 0.329994 + 1.19447i
\(56\) 3.33696 + 7.40327i 0.445921 + 0.989304i
\(57\) 4.67461 + 4.67461i 0.619167 + 0.619167i
\(58\) 0.778630 0.433161i 0.102239 0.0568768i
\(59\) 1.42595 4.38863i 0.185643 0.571351i −0.814316 0.580422i \(-0.802888\pi\)
0.999959 + 0.00907149i \(0.00288758\pi\)
\(60\) 1.91690 4.04048i 0.247471 0.521624i
\(61\) −2.83426 8.72296i −0.362890 1.11686i −0.951292 0.308292i \(-0.900243\pi\)
0.588402 0.808569i \(-0.299757\pi\)
\(62\) −5.57813 5.18575i −0.708423 0.658591i
\(63\) 2.55813 1.30343i 0.322294 0.164217i
\(64\) −5.99407 5.29822i −0.749258 0.662278i
\(65\) −10.2386 + 4.65387i −1.26994 + 0.577241i
\(66\) −0.211742 5.80858i −0.0260636 0.714987i
\(67\) 11.3977 1.80522i 1.39245 0.220543i 0.585266 0.810841i \(-0.300990\pi\)
0.807185 + 0.590299i \(0.200990\pi\)
\(68\) 1.19489 14.1566i 0.144901 1.71674i
\(69\) −0.885086 + 1.21822i −0.106552 + 0.146656i
\(70\) −7.38852 + 5.27631i −0.883097 + 0.630639i
\(71\) −3.24029 4.45988i −0.384552 0.529290i 0.572232 0.820092i \(-0.306078\pi\)
−0.956783 + 0.290802i \(0.906078\pi\)
\(72\) −1.76987 + 2.20625i −0.208582 + 0.260009i
\(73\) 2.13466 + 1.08767i 0.249844 + 0.127302i 0.574428 0.818555i \(-0.305224\pi\)
−0.324585 + 0.945857i \(0.605224\pi\)
\(74\) −4.76648 13.0337i −0.554092 1.51513i
\(75\) 4.84910 + 1.21913i 0.559925 + 0.140773i
\(76\) 8.52976 + 10.1024i 0.978431 + 1.15883i
\(77\) −5.35713 + 10.5140i −0.610501 + 1.19818i
\(78\) 6.98024 1.36791i 0.790357 0.154886i
\(79\) −3.03872 + 2.20776i −0.341883 + 0.248392i −0.745456 0.666555i \(-0.767768\pi\)
0.403573 + 0.914947i \(0.367768\pi\)
\(80\) 4.49988 7.72988i 0.503102 0.864227i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −4.98884 2.31704i −0.550925 0.255875i
\(83\) 1.25058 + 7.89584i 0.137269 + 0.866681i 0.956184 + 0.292767i \(0.0945759\pi\)
−0.818915 + 0.573915i \(0.805424\pi\)
\(84\) 5.31739 2.16732i 0.580174 0.236474i
\(85\) 15.7835 1.78261i 1.71196 0.193352i
\(86\) 6.70888 5.25811i 0.723437 0.566996i
\(87\) −0.286031 0.561367i −0.0306657 0.0601849i
\(88\) 0.555087 11.6116i 0.0591724 1.23780i
\(89\) 6.30465 2.04851i 0.668292 0.217141i 0.0448297 0.998995i \(-0.485725\pi\)
0.623462 + 0.781853i \(0.285725\pi\)
\(90\) −2.80578 1.45864i −0.295755 0.153754i
\(91\) −13.7337 4.46234i −1.43968 0.467780i
\(92\) −1.96882 + 2.27892i −0.205263 + 0.237594i
\(93\) −3.80814 + 3.80814i −0.394885 + 0.394885i
\(94\) −11.3468 3.23487i −1.17034 0.333651i
\(95\) −9.21361 + 11.5598i −0.945297 + 1.18601i
\(96\) −3.89832 + 4.09915i −0.397871 + 0.418368i
\(97\) −4.60222 0.728920i −0.467285 0.0740106i −0.0816477 0.996661i \(-0.526018\pi\)
−0.385637 + 0.922651i \(0.626018\pi\)
\(98\) −1.74504 0.211554i −0.176276 0.0213702i
\(99\) −4.11001 −0.413072
\(100\) 9.45876 + 3.24529i 0.945876 + 0.324529i
\(101\) 4.01036 0.399045 0.199523 0.979893i \(-0.436061\pi\)
0.199523 + 0.979893i \(0.436061\pi\)
\(102\) −9.97281 1.20901i −0.987455 0.119710i
\(103\) −0.702077 0.111198i −0.0691777 0.0109567i 0.121750 0.992561i \(-0.461149\pi\)
−0.190927 + 0.981604i \(0.561149\pi\)
\(104\) 14.1411 1.55197i 1.38665 0.152184i
\(105\) 3.53811 + 5.35692i 0.345285 + 0.522782i
\(106\) 7.05419 + 2.01108i 0.685163 + 0.195333i
\(107\) 3.54316 3.54316i 0.342530 0.342530i −0.514787 0.857318i \(-0.672129\pi\)
0.857318 + 0.514787i \(0.172129\pi\)
\(108\) 1.51343 + 1.30749i 0.145630 + 0.125813i
\(109\) −10.7742 3.50074i −1.03198 0.335310i −0.256406 0.966569i \(-0.582538\pi\)
−0.775572 + 0.631259i \(0.782538\pi\)
\(110\) 12.8532 1.92814i 1.22550 0.183841i
\(111\) −9.33287 + 3.03243i −0.885837 + 0.287826i
\(112\) 10.9617 3.42484i 1.03578 0.323617i
\(113\) −4.83668 9.49253i −0.454997 0.892982i −0.998562 0.0536145i \(-0.982926\pi\)
0.543565 0.839367i \(-0.317074\pi\)
\(114\) 7.35846 5.76722i 0.689183 0.540150i
\(115\) −2.92892 1.66090i −0.273123 0.154880i
\(116\) −0.475606 1.16687i −0.0441589 0.108341i
\(117\) −0.786812 4.96774i −0.0727408 0.459267i
\(118\) −5.91865 2.74889i −0.544856 0.253056i
\(119\) 16.4995 + 11.9876i 1.51250 + 1.09890i
\(120\) −5.34631 3.37890i −0.488049 0.308450i
\(121\) 4.76691 3.46336i 0.433355 0.314851i
\(122\) −12.7289 + 2.49446i −1.15242 + 0.225838i
\(123\) −1.76582 + 3.46561i −0.159219 + 0.312484i
\(124\) −8.22986 + 6.94871i −0.739063 + 0.624013i
\(125\) −1.49195 + 11.0803i −0.133444 + 0.991056i
\(126\) −1.39454 3.81329i −0.124235 0.339715i
\(127\) 13.1537 + 6.70216i 1.16720 + 0.594721i 0.926654 0.375916i \(-0.122672\pi\)
0.240551 + 0.970636i \(0.422672\pi\)
\(128\) −8.45855 + 7.51352i −0.747637 + 0.664107i
\(129\) −3.54276 4.87619i −0.311923 0.429325i
\(130\) 4.79111 + 15.1664i 0.420208 + 1.33018i
\(131\) −0.479143 + 0.659484i −0.0418630 + 0.0576194i −0.829435 0.558603i \(-0.811338\pi\)
0.787572 + 0.616222i \(0.211338\pi\)
\(132\) −8.19090 0.691352i −0.712927 0.0601745i
\(133\) −18.7466 + 2.96916i −1.62553 + 0.257459i
\(134\) −0.594513 16.3089i −0.0513581 1.40887i
\(135\) −1.10300 + 1.94509i −0.0949313 + 0.167407i
\(136\) −19.6716 4.08700i −1.68682 0.350458i
\(137\) 8.38549 4.27262i 0.716421 0.365035i −0.0574756 0.998347i \(-0.518305\pi\)
0.773896 + 0.633312i \(0.218305\pi\)
\(138\) 1.55965 + 1.44994i 0.132767 + 0.123427i
\(139\) 5.80871 + 17.8774i 0.492688 + 1.51634i 0.820529 + 0.571605i \(0.193679\pi\)
−0.327841 + 0.944733i \(0.606321\pi\)
\(140\) 6.15006 + 11.2710i 0.519775 + 0.952576i
\(141\) −2.57816 + 7.93477i −0.217121 + 0.668228i
\(142\) −6.81287 + 3.79008i −0.571723 + 0.318056i
\(143\) 14.6173 + 14.6173i 1.22236 + 1.22236i
\(144\) 2.79620 + 2.86029i 0.233016 + 0.238358i
\(145\) 1.17555 0.776419i 0.0976238 0.0644781i
\(146\) 1.89033 2.81181i 0.156445 0.232707i
\(147\) −0.194443 + 1.22766i −0.0160374 + 0.101256i
\(148\) −19.1097 + 4.47348i −1.57081 + 0.367718i
\(149\) 1.77846i 0.145697i 0.997343 + 0.0728486i \(0.0232090\pi\)
−0.997343 + 0.0728486i \(0.976791\pi\)
\(150\) 2.53690 6.60032i 0.207137 0.538913i
\(151\) 8.52233i 0.693537i 0.937951 + 0.346769i \(0.112721\pi\)
−0.937951 + 0.346769i \(0.887279\pi\)
\(152\) 15.6349 10.2558i 1.26816 0.831855i
\(153\) −1.11123 + 7.01601i −0.0898374 + 0.567211i
\(154\) 13.8491 + 9.31054i 1.11599 + 0.750264i
\(155\) −9.41711 7.50580i −0.756400 0.602881i
\(156\) −0.732418 10.0326i −0.0586404 0.803252i
\(157\) −3.84462 3.84462i −0.306834 0.306834i 0.536846 0.843680i \(-0.319616\pi\)
−0.843680 + 0.536846i \(0.819616\pi\)
\(158\) 2.58236 + 4.64192i 0.205441 + 0.369292i
\(159\) 1.60281 4.93295i 0.127111 0.391208i
\(160\) −10.0864 7.63317i −0.797397 0.603455i
\(161\) −1.33595 4.11164i −0.105288 0.324042i
\(162\) 0.962907 1.03577i 0.0756531 0.0813774i
\(163\) 9.00299 4.58725i 0.705169 0.359301i −0.0643486 0.997927i \(-0.520497\pi\)
0.769517 + 0.638626i \(0.220497\pi\)
\(164\) −4.10208 + 6.60964i −0.320319 + 0.516126i
\(165\) −1.03141 9.13221i −0.0802950 0.710942i
\(166\) 11.2981 0.411853i 0.876902 0.0319660i
\(167\) −2.64020 + 0.418167i −0.204305 + 0.0323588i −0.257748 0.966212i \(-0.582980\pi\)
0.0534430 + 0.998571i \(0.482980\pi\)
\(168\) −2.13775 7.83414i −0.164931 0.604417i
\(169\) −7.22827 + 9.94886i −0.556021 + 0.765297i
\(170\) 0.183686 22.4624i 0.0140881 1.72279i
\(171\) −3.88579 5.34832i −0.297153 0.408997i
\(172\) −6.24018 10.3138i −0.475809 0.786417i
\(173\) 5.11453 + 2.60598i 0.388850 + 0.198129i 0.637475 0.770471i \(-0.279979\pi\)
−0.248625 + 0.968600i \(0.579979\pi\)
\(174\) −0.836805 + 0.306024i −0.0634381 + 0.0231996i
\(175\) −11.0149 + 9.20580i −0.832646 + 0.695893i
\(176\) −16.2075 2.75561i −1.22168 0.207712i
\(177\) −2.09493 + 4.11153i −0.157464 + 0.309041i
\(178\) −1.80291 9.19998i −0.135134 0.689568i
\(179\) −15.5749 + 11.3158i −1.16412 + 0.845785i −0.990294 0.138990i \(-0.955614\pi\)
−0.173830 + 0.984776i \(0.555614\pi\)
\(180\) −2.52537 + 3.69086i −0.188230 + 0.275101i
\(181\) 7.64374 + 5.55350i 0.568155 + 0.412788i 0.834434 0.551107i \(-0.185795\pi\)
−0.266280 + 0.963896i \(0.585795\pi\)
\(182\) −8.60231 + 18.5217i −0.637646 + 1.37292i
\(183\) 1.43479 + 9.05894i 0.106063 + 0.669656i
\(184\) 2.86436 + 3.15196i 0.211163 + 0.232366i
\(185\) −9.07997 19.9761i −0.667573 1.46867i
\(186\) 4.69823 + 5.99452i 0.344491 + 0.439540i
\(187\) −13.2544 26.0133i −0.969259 1.90228i
\(188\) −6.47278 + 15.3796i −0.472076 + 1.12168i
\(189\) −2.73054 + 0.887205i −0.198617 + 0.0645347i
\(190\) 14.6610 + 14.9028i 1.06362 + 1.08116i
\(191\) 3.67019 + 1.19252i 0.265565 + 0.0862874i 0.438773 0.898598i \(-0.355413\pi\)
−0.173208 + 0.984885i \(0.555413\pi\)
\(192\) 5.09145 + 6.17067i 0.367443 + 0.445330i
\(193\) 0.281618 0.281618i 0.0202713 0.0202713i −0.696898 0.717170i \(-0.745437\pi\)
0.717170 + 0.696898i \(0.245437\pi\)
\(194\) −1.80666 + 6.33715i −0.129710 + 0.454981i
\(195\) 10.8406 2.99490i 0.776309 0.214469i
\(196\) −0.594015 + 2.41392i −0.0424297 + 0.172423i
\(197\) −16.4751 2.60941i −1.17381 0.185912i −0.461082 0.887358i \(-0.652538\pi\)
−0.712723 + 0.701445i \(0.752538\pi\)
\(198\) −0.699527 + 5.77019i −0.0497132 + 0.410070i
\(199\) −3.04098 −0.215569 −0.107785 0.994174i \(-0.534376\pi\)
−0.107785 + 0.994174i \(0.534376\pi\)
\(200\) 6.16606 12.7271i 0.436006 0.899944i
\(201\) −11.5398 −0.813953
\(202\) 0.682565 5.63028i 0.0480251 0.396145i
\(203\) 1.78660 + 0.282970i 0.125395 + 0.0198606i
\(204\) −3.39476 + 13.7954i −0.237680 + 0.965870i
\(205\) −8.14352 3.05385i −0.568768 0.213290i
\(206\) −0.275609 + 0.966743i −0.0192026 + 0.0673562i
\(207\) 1.06476 1.06476i 0.0740059 0.0740059i
\(208\) 0.227957 20.1173i 0.0158060 1.39489i
\(209\) 25.8410 + 8.39626i 1.78746 + 0.580781i
\(210\) 8.12295 4.05553i 0.560537 0.279858i
\(211\) 11.6358 3.78070i 0.801041 0.260274i 0.120242 0.992745i \(-0.461633\pi\)
0.680799 + 0.732471i \(0.261633\pi\)
\(212\) 4.02405 9.56133i 0.276373 0.656675i
\(213\) 2.50272 + 4.91186i 0.171483 + 0.336555i
\(214\) −4.37132 5.57742i −0.298817 0.381264i
\(215\) 9.94555 9.09548i 0.678281 0.620307i
\(216\) 2.09322 1.90222i 0.142425 0.129430i
\(217\) −2.41881 15.2718i −0.164199 1.03671i
\(218\) −6.74857 + 14.5304i −0.457071 + 0.984122i
\(219\) −1.93823 1.40821i −0.130974 0.0951580i
\(220\) −0.519363 18.3732i −0.0350154 1.23872i
\(221\) 28.9046 21.0004i 1.94433 1.41264i
\(222\) 2.66888 + 13.6189i 0.179123 + 0.914038i
\(223\) 10.1792 19.9779i 0.681652 1.33782i −0.247778 0.968817i \(-0.579700\pi\)
0.929430 0.369000i \(-0.120300\pi\)
\(224\) −2.94257 15.9724i −0.196609 1.06720i
\(225\) −4.59868 1.96268i −0.306579 0.130846i
\(226\) −14.1501 + 5.17475i −0.941250 + 0.344219i
\(227\) −3.52190 1.79450i −0.233757 0.119105i 0.333189 0.942860i \(-0.391875\pi\)
−0.566946 + 0.823755i \(0.691875\pi\)
\(228\) −6.84438 11.3124i −0.453280 0.749181i
\(229\) 4.49293 + 6.18399i 0.296901 + 0.408650i 0.931241 0.364405i \(-0.118728\pi\)
−0.634339 + 0.773055i \(0.718728\pi\)
\(230\) −2.83029 + 3.82932i −0.186624 + 0.252498i
\(231\) 6.93592 9.54647i 0.456350 0.628112i
\(232\) −1.71916 + 0.469118i −0.112868 + 0.0307991i
\(233\) 2.66746 0.422484i 0.174751 0.0276778i −0.0684457 0.997655i \(-0.521804\pi\)
0.243197 + 0.969977i \(0.421804\pi\)
\(234\) −7.10829 + 0.259121i −0.464684 + 0.0169393i
\(235\) −18.2776 3.73730i −1.19230 0.243795i
\(236\) −4.86662 + 7.84153i −0.316790 + 0.510440i
\(237\) 3.34668 1.70522i 0.217390 0.110766i
\(238\) 19.6380 21.1239i 1.27294 1.36926i
\(239\) 5.46607 + 16.8228i 0.353570 + 1.08818i 0.956834 + 0.290636i \(0.0938668\pi\)
−0.603263 + 0.797542i \(0.706133\pi\)
\(240\) −5.65370 + 6.93078i −0.364945 + 0.447380i
\(241\) −3.20904 + 9.87639i −0.206712 + 0.636195i 0.792927 + 0.609317i \(0.208556\pi\)
−0.999639 + 0.0268774i \(0.991444\pi\)
\(242\) −4.05100 7.28189i −0.260408 0.468098i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 1.33560 + 18.2950i 0.0855033 + 1.17122i
\(245\) −2.77659 0.123959i −0.177390 0.00791942i
\(246\) 4.56495 + 3.06894i 0.291051 + 0.195669i
\(247\) −5.20153 + 32.8412i −0.330965 + 2.08963i
\(248\) 8.35481 + 12.7369i 0.530531 + 0.808791i
\(249\) 7.99426i 0.506616i
\(250\) 15.3021 + 3.98048i 0.967793 + 0.251748i
\(251\) 5.42401i 0.342360i −0.985240 0.171180i \(-0.945242\pi\)
0.985240 0.171180i \(-0.0547580\pi\)
\(252\) −5.59096 + 1.30882i −0.352198 + 0.0824476i
\(253\) −0.968150 + 6.11266i −0.0608670 + 0.384299i
\(254\) 11.6482 17.3263i 0.730871 1.08715i
\(255\) −15.8680 0.708415i −0.993695 0.0443626i
\(256\) 9.10883 + 13.1541i 0.569302 + 0.822128i
\(257\) 10.7061 + 10.7061i 0.667828 + 0.667828i 0.957213 0.289385i \(-0.0934508\pi\)
−0.289385 + 0.957213i \(0.593451\pi\)
\(258\) −7.44883 + 4.14387i −0.463744 + 0.257986i
\(259\) 8.70629 26.7952i 0.540982 1.66497i
\(260\) 22.1081 4.14507i 1.37109 0.257067i
\(261\) 0.194692 + 0.599201i 0.0120511 + 0.0370896i
\(262\) 0.844322 + 0.784931i 0.0521624 + 0.0484932i
\(263\) −25.7719 + 13.1314i −1.58916 + 0.809718i −0.589163 + 0.808014i \(0.700542\pi\)
−0.999999 + 0.00170375i \(0.999458\pi\)
\(264\) −2.36471 + 11.3818i −0.145538 + 0.700503i
\(265\) 11.3629 + 2.32343i 0.698020 + 0.142727i
\(266\) 0.977835 + 26.8243i 0.0599549 + 1.64470i
\(267\) −6.54749 + 1.03702i −0.400700 + 0.0634646i
\(268\) −22.9978 1.94112i −1.40481 0.118573i
\(269\) −0.237117 + 0.326364i −0.0144573 + 0.0198988i −0.816184 0.577791i \(-0.803915\pi\)
0.801727 + 0.597690i \(0.203915\pi\)
\(270\) 2.54305 + 1.87960i 0.154765 + 0.114389i
\(271\) −7.48792 10.3062i −0.454859 0.626060i 0.518574 0.855033i \(-0.326463\pi\)
−0.973433 + 0.228973i \(0.926463\pi\)
\(272\) −9.08600 + 26.9220i −0.550920 + 1.63239i
\(273\) 12.8665 + 6.55582i 0.778717 + 0.396776i
\(274\) −4.57126 12.4999i −0.276160 0.755145i
\(275\) 20.0324 4.58346i 1.20800 0.276393i
\(276\) 2.30108 1.94287i 0.138509 0.116947i
\(277\) 7.48434 14.6888i 0.449690 0.882567i −0.549210 0.835684i \(-0.685071\pi\)
0.998900 0.0468828i \(-0.0149287\pi\)
\(278\) 26.0873 5.11230i 1.56461 0.306616i
\(279\) 4.35697 3.16553i 0.260845 0.189515i
\(280\) 16.8705 6.71594i 1.00821 0.401354i
\(281\) −2.60100 1.88974i −0.155163 0.112732i 0.507495 0.861655i \(-0.330572\pi\)
−0.662658 + 0.748922i \(0.730572\pi\)
\(282\) 10.7011 + 4.97008i 0.637241 + 0.295964i
\(283\) −1.48904 9.40142i −0.0885141 0.558856i −0.991594 0.129385i \(-0.958700\pi\)
0.903080 0.429472i \(-0.141300\pi\)
\(284\) 4.16147 + 10.2099i 0.246938 + 0.605846i
\(285\) 10.9085 9.97615i 0.646165 0.590936i
\(286\) 23.0096 18.0338i 1.36059 1.06636i
\(287\) −5.06977 9.94998i −0.299259 0.587328i
\(288\) 4.49158 3.43885i 0.264669 0.202636i
\(289\) −31.8217 + 10.3395i −1.87186 + 0.608205i
\(290\) −0.889963 1.78254i −0.0522604 0.104674i
\(291\) 4.43153 + 1.43989i 0.259781 + 0.0844079i
\(292\) −3.62586 3.13247i −0.212187 0.183314i
\(293\) 2.20299 2.20299i 0.128700 0.128700i −0.639822 0.768523i \(-0.720992\pi\)
0.768523 + 0.639822i \(0.220992\pi\)
\(294\) 1.69047 + 0.481934i 0.0985900 + 0.0281070i
\(295\) −9.66130 3.62302i −0.562502 0.210940i
\(296\) 3.02799 + 27.5901i 0.175998 + 1.60364i
\(297\) 4.05941 + 0.642948i 0.235551 + 0.0373076i
\(298\) 2.49684 + 0.302695i 0.144638 + 0.0175347i
\(299\) −7.57365 −0.437995
\(300\) −8.83463 4.68501i −0.510068 0.270489i
\(301\) 17.3047 0.997428
\(302\) 11.9648 + 1.45051i 0.688496 + 0.0834672i
\(303\) −3.96098 0.627358i −0.227553 0.0360408i
\(304\) −11.7374 23.6959i −0.673186 1.35905i
\(305\) −19.7684 + 5.46137i −1.13193 + 0.312717i
\(306\) 9.66089 + 2.75422i 0.552276 + 0.157448i
\(307\) 18.9331 18.9331i 1.08057 1.08057i 0.0841129 0.996456i \(-0.473194\pi\)
0.996456 0.0841129i \(-0.0268056\pi\)
\(308\) 15.4285 17.8586i 0.879121 1.01759i
\(309\) 0.676038 + 0.219658i 0.0384584 + 0.0124959i
\(310\) −12.1405 + 11.9435i −0.689531 + 0.678346i
\(311\) 16.3213 5.30312i 0.925497 0.300712i 0.192777 0.981243i \(-0.438251\pi\)
0.732720 + 0.680530i \(0.238251\pi\)
\(312\) −14.2098 0.679291i −0.804471 0.0384573i
\(313\) 10.9460 + 21.4827i 0.618703 + 1.21427i 0.961485 + 0.274858i \(0.0886307\pi\)
−0.342782 + 0.939415i \(0.611369\pi\)
\(314\) −6.05195 + 4.74324i −0.341531 + 0.267676i
\(315\) −2.65655 5.84445i −0.149679 0.329297i
\(316\) 6.95647 2.83540i 0.391332 0.159504i
\(317\) 4.50589 + 28.4490i 0.253076 + 1.59786i 0.707262 + 0.706951i \(0.249930\pi\)
−0.454187 + 0.890907i \(0.650070\pi\)
\(318\) −6.65274 3.08983i −0.373067 0.173269i
\(319\) −2.09492 1.52205i −0.117293 0.0852183i
\(320\) −12.4332 + 12.8614i −0.695035 + 0.718976i
\(321\) −4.05381 + 2.94527i −0.226262 + 0.164389i
\(322\) −5.99985 + 1.17579i −0.334358 + 0.0655240i
\(323\) 21.3195 41.8419i 1.18625 2.32815i
\(324\) −1.29026 1.52815i −0.0716811 0.0848970i
\(325\) 9.37494 + 23.3355i 0.520028 + 1.29442i
\(326\) −4.90789 13.4204i −0.271823 0.743285i
\(327\) 10.0939 + 5.14309i 0.558193 + 0.284413i
\(328\) 8.58132 + 6.88402i 0.473824 + 0.380106i
\(329\) −14.0795 19.3788i −0.776230 1.06839i
\(330\) −12.9966 0.106279i −0.715438 0.00585049i
\(331\) −12.3027 + 16.9332i −0.676217 + 0.930732i −0.999881 0.0154398i \(-0.995085\pi\)
0.323664 + 0.946172i \(0.395085\pi\)
\(332\) 1.34473 15.9319i 0.0738015 0.874375i
\(333\) 9.69234 1.53512i 0.531137 0.0841239i
\(334\) 0.137715 + 3.77785i 0.00753543 + 0.206715i
\(335\) −2.89590 25.6407i −0.158220 1.40090i
\(336\) −11.3625 + 1.66789i −0.619873 + 0.0909910i
\(337\) −0.00646570 + 0.00329444i −0.000352209 + 0.000179460i −0.454167 0.890917i \(-0.650063\pi\)
0.453814 + 0.891096i \(0.350063\pi\)
\(338\) 12.7373 + 11.8413i 0.692818 + 0.644083i
\(339\) 3.29218 + 10.1323i 0.178807 + 0.550310i
\(340\) −31.5045 4.08100i −1.70857 0.221323i
\(341\) −6.83995 + 21.0512i −0.370404 + 1.13999i
\(342\) −8.17006 + 4.54510i −0.441786 + 0.245771i
\(343\) 11.6876 + 11.6876i 0.631071 + 0.631071i
\(344\) −15.5419 + 7.00540i −0.837964 + 0.377706i
\(345\) 2.63304 + 2.09863i 0.141758 + 0.112987i
\(346\) 4.52912 6.73692i 0.243487 0.362179i
\(347\) 1.87241 11.8219i 0.100516 0.634634i −0.885070 0.465459i \(-0.845889\pi\)
0.985586 0.169176i \(-0.0541106\pi\)
\(348\) 0.287212 + 1.22691i 0.0153962 + 0.0657690i
\(349\) 17.1160i 0.916197i −0.888902 0.458098i \(-0.848531\pi\)
0.888902 0.458098i \(-0.151469\pi\)
\(350\) 11.0496 + 17.0310i 0.590626 + 0.910345i
\(351\) 5.02966i 0.268463i
\(352\) −6.62722 + 22.2852i −0.353232 + 1.18781i
\(353\) 4.28029 27.0247i 0.227817 1.43838i −0.563067 0.826411i \(-0.690379\pi\)
0.790883 0.611967i \(-0.209621\pi\)
\(354\) 5.41576 + 3.64093i 0.287844 + 0.193513i
\(355\) −10.2858 + 6.79352i −0.545914 + 0.360563i
\(356\) −13.2230 + 0.965329i −0.700819 + 0.0511623i
\(357\) −14.4211 14.4211i −0.763244 0.763244i
\(358\) 13.2358 + 23.7921i 0.699535 + 1.25745i
\(359\) −4.36824 + 13.4441i −0.230547 + 0.709550i 0.767134 + 0.641487i \(0.221682\pi\)
−0.997681 + 0.0680635i \(0.978318\pi\)
\(360\) 4.75191 + 4.17365i 0.250448 + 0.219971i
\(361\) 7.63392 + 23.4948i 0.401785 + 1.23657i
\(362\) 9.09772 9.78610i 0.478166 0.514346i
\(363\) −5.25001 + 2.67501i −0.275554 + 0.140402i
\(364\) 24.5391 + 15.2295i 1.28620 + 0.798242i
\(365\) 2.64256 4.66003i 0.138318 0.243917i
\(366\) 12.9624 0.472521i 0.677553 0.0246991i
\(367\) 0.863623 0.136785i 0.0450808 0.00714009i −0.133853 0.991001i \(-0.542735\pi\)
0.178934 + 0.983861i \(0.442735\pi\)
\(368\) 4.91267 3.48490i 0.256090 0.181663i
\(369\) 2.28622 3.14671i 0.119016 0.163811i
\(370\) −29.5906 + 9.34774i −1.53834 + 0.485966i
\(371\) 8.75308 + 12.0476i 0.454437 + 0.625479i
\(372\) 9.21555 5.57573i 0.477804 0.289088i
\(373\) 13.4164 + 6.83598i 0.694673 + 0.353953i 0.765411 0.643542i \(-0.222536\pi\)
−0.0707386 + 0.997495i \(0.522536\pi\)
\(374\) −38.7768 + 14.1809i −2.00510 + 0.733275i
\(375\) 3.20693 10.7105i 0.165605 0.553090i
\(376\) 20.4903 + 11.7050i 1.05671 + 0.603638i
\(377\) 1.43864 2.82349i 0.0740936 0.145417i
\(378\) 0.780839 + 3.98450i 0.0401620 + 0.204940i
\(379\) −12.6266 + 9.17375i −0.648584 + 0.471224i −0.862789 0.505565i \(-0.831284\pi\)
0.214205 + 0.976789i \(0.431284\pi\)
\(380\) 23.4179 18.0467i 1.20131 0.925774i
\(381\) −11.9433 8.67734i −0.611876 0.444554i
\(382\) 2.29888 4.94973i 0.117621 0.253250i
\(383\) −4.33189 27.3505i −0.221349 1.39754i −0.808705 0.588214i \(-0.799831\pi\)
0.587356 0.809329i \(-0.300169\pi\)
\(384\) 9.52978 6.09780i 0.486315 0.311177i
\(385\) 22.9523 + 13.0155i 1.16976 + 0.663332i
\(386\) −0.347442 0.443305i −0.0176843 0.0225636i
\(387\) 2.73634 + 5.37037i 0.139096 + 0.272991i
\(388\) 8.58945 + 3.61501i 0.436063 + 0.183525i
\(389\) −11.9584 + 3.88552i −0.606315 + 0.197004i −0.596055 0.802944i \(-0.703266\pi\)
−0.0102599 + 0.999947i \(0.503266\pi\)
\(390\) −2.35958 15.7292i −0.119482 0.796478i
\(391\) 10.1729 + 3.30537i 0.514464 + 0.167160i
\(392\) 3.28789 + 1.24481i 0.166063 + 0.0628724i
\(393\) 0.576410 0.576410i 0.0290761 0.0290761i
\(394\) −6.46751 + 22.6859i −0.325829 + 1.14290i
\(395\) 4.62874 + 7.00820i 0.232897 + 0.352621i
\(396\) 7.98191 + 1.96418i 0.401106 + 0.0987038i
\(397\) 6.69199 + 1.05991i 0.335861 + 0.0531952i 0.322087 0.946710i \(-0.395616\pi\)
0.0137739 + 0.999905i \(0.495616\pi\)
\(398\) −0.517577 + 4.26934i −0.0259438 + 0.214002i
\(399\) 18.9802 0.950201
\(400\) −16.8186 10.8229i −0.840929 0.541146i
\(401\) −13.9504 −0.696648 −0.348324 0.937374i \(-0.613249\pi\)
−0.348324 + 0.937374i \(0.613249\pi\)
\(402\) −1.96408 + 16.2011i −0.0979592 + 0.808037i
\(403\) −26.7538 4.23739i −1.33270 0.211079i
\(404\) −7.78837 1.91655i −0.387486 0.0953521i
\(405\) 1.39370 1.74860i 0.0692536 0.0868885i
\(406\) 0.701352 2.46011i 0.0348075 0.122093i
\(407\) −28.5192 + 28.5192i −1.41364 + 1.41364i
\(408\) 18.7900 + 7.11400i 0.930245 + 0.352195i
\(409\) 13.9221 + 4.52356i 0.688402 + 0.223675i 0.632270 0.774748i \(-0.282123\pi\)
0.0561321 + 0.998423i \(0.482123\pi\)
\(410\) −5.67344 + 10.9132i −0.280191 + 0.538965i
\(411\) −8.95063 + 2.90824i −0.441502 + 0.143453i
\(412\) 1.31034 + 0.551477i 0.0645556 + 0.0271693i
\(413\) −6.01466 11.8044i −0.295962 0.580858i
\(414\) −1.31363 1.67608i −0.0645614 0.0823746i
\(415\) 17.7628 2.00616i 0.871941 0.0984785i
\(416\) −28.2046 3.74402i −1.38285 0.183566i
\(417\) −2.94056 18.5659i −0.144000 0.909178i
\(418\) 16.1860 34.8501i 0.791681 1.70457i
\(419\) −22.6725 16.4725i −1.10762 0.804735i −0.125335 0.992114i \(-0.540001\pi\)
−0.982288 + 0.187379i \(0.940001\pi\)
\(420\) −4.31116 12.0943i −0.210363 0.590144i
\(421\) −27.0733 + 19.6699i −1.31947 + 0.958653i −0.319535 + 0.947575i \(0.603527\pi\)
−0.999939 + 0.0110788i \(0.996473\pi\)
\(422\) −3.32743 16.9794i −0.161977 0.826542i
\(423\) 3.78769 7.43377i 0.184164 0.361442i
\(424\) −12.7386 7.27684i −0.618640 0.353395i
\(425\) −2.40803 35.4356i −0.116806 1.71888i
\(426\) 7.32189 2.67765i 0.354747 0.129733i
\(427\) −23.4628 11.9549i −1.13545 0.578538i
\(428\) −8.57433 + 5.18777i −0.414456 + 0.250760i
\(429\) −12.1507 16.7240i −0.586640 0.807441i
\(430\) −11.0767 15.5110i −0.534167 0.748005i
\(431\) 9.84116 13.5452i 0.474032 0.652449i −0.503312 0.864105i \(-0.667885\pi\)
0.977344 + 0.211655i \(0.0678854\pi\)
\(432\) −2.31432 3.26250i −0.111348 0.156967i
\(433\) 15.3537 2.43179i 0.737852 0.116864i 0.223814 0.974632i \(-0.428149\pi\)
0.514038 + 0.857767i \(0.328149\pi\)
\(434\) −21.8522 + 0.796587i −1.04894 + 0.0382374i
\(435\) −1.28253 + 0.582964i −0.0614927 + 0.0279510i
\(436\) 19.2511 + 11.9476i 0.921960 + 0.572188i
\(437\) −8.86967 + 4.51932i −0.424294 + 0.216189i
\(438\) −2.30692 + 2.48148i −0.110229 + 0.118570i
\(439\) −0.0471984 0.145262i −0.00225266 0.00693296i 0.949924 0.312481i \(-0.101160\pi\)
−0.952177 + 0.305548i \(0.901160\pi\)
\(440\) −25.8832 2.39798i −1.23393 0.114319i
\(441\) 0.384098 1.18213i 0.0182904 0.0562920i
\(442\) −24.5636 44.1544i −1.16837 2.10021i
\(443\) 14.5387 + 14.5387i 0.690756 + 0.690756i 0.962398 0.271642i \(-0.0875666\pi\)
−0.271642 + 0.962398i \(0.587567\pi\)
\(444\) 19.5742 1.42899i 0.928952 0.0678169i
\(445\) −3.94729 14.2879i −0.187120 0.677312i
\(446\) −26.3151 17.6912i −1.24606 0.837703i
\(447\) 0.278213 1.75657i 0.0131590 0.0830827i
\(448\) −22.9250 + 1.41267i −1.08310 + 0.0667423i
\(449\) 0.847419i 0.0399922i 0.999800 + 0.0199961i \(0.00636537\pi\)
−0.999800 + 0.0199961i \(0.993635\pi\)
\(450\) −3.53818 + 6.12220i −0.166791 + 0.288603i
\(451\) 15.9861i 0.752756i
\(452\) 4.85666 + 20.7465i 0.228438 + 0.975835i
\(453\) 1.33319 8.41740i 0.0626385 0.395484i
\(454\) −3.11879 + 4.63910i −0.146372 + 0.217724i
\(455\) −11.3378 + 30.2338i −0.531524 + 1.41738i
\(456\) −17.0468 + 7.68369i −0.798288 + 0.359822i
\(457\) −13.6982 13.6982i −0.640775 0.640775i 0.309971 0.950746i \(-0.399681\pi\)
−0.950746 + 0.309971i \(0.899681\pi\)
\(458\) 9.44662 5.25527i 0.441412 0.245562i
\(459\) 2.19509 6.75580i 0.102458 0.315334i
\(460\) 4.89440 + 4.62530i 0.228202 + 0.215656i
\(461\) −2.77560 8.54241i −0.129272 0.397860i 0.865383 0.501111i \(-0.167075\pi\)
−0.994655 + 0.103252i \(0.967075\pi\)
\(462\) −12.2221 11.3624i −0.568625 0.528626i
\(463\) −10.9751 + 5.59208i −0.510055 + 0.259886i −0.690024 0.723786i \(-0.742400\pi\)
0.179969 + 0.983672i \(0.442400\pi\)
\(464\) 0.366010 + 2.49343i 0.0169916 + 0.115755i
\(465\) 8.12700 + 8.88655i 0.376881 + 0.412104i
\(466\) −0.139137 3.81684i −0.00644538 0.176812i
\(467\) −39.5800 + 6.26886i −1.83154 + 0.290088i −0.974372 0.224942i \(-0.927781\pi\)
−0.857172 + 0.515031i \(0.827781\pi\)
\(468\) −0.846047 + 10.0237i −0.0391085 + 0.463345i
\(469\) 19.4741 26.8038i 0.899231 1.23769i
\(470\) −8.35778 + 25.0244i −0.385516 + 1.15429i
\(471\) 3.19586 + 4.39872i 0.147257 + 0.202682i
\(472\) 10.1807 + 8.16704i 0.468604 + 0.375919i
\(473\) −22.0723 11.2464i −1.01488 0.517110i
\(474\) −1.82441 4.98874i −0.0837978 0.229141i
\(475\) 24.9039 + 21.7346i 1.14267 + 0.997252i
\(476\) −26.3141 31.1657i −1.20611 1.42848i
\(477\) −2.35476 + 4.62148i −0.107817 + 0.211603i
\(478\) 24.5485 4.81074i 1.12282 0.220038i
\(479\) 15.7328 11.4306i 0.718852 0.522277i −0.167165 0.985929i \(-0.553461\pi\)
0.886017 + 0.463652i \(0.153461\pi\)
\(480\) 8.76809 + 9.11705i 0.400207 + 0.416134i
\(481\) −39.9305 29.0112i −1.82068 1.32280i
\(482\) 13.3196 + 6.18624i 0.606693 + 0.281776i
\(483\) 0.676302 + 4.27001i 0.0307728 + 0.194292i
\(484\) −10.9128 + 4.44796i −0.496036 + 0.202180i
\(485\) −2.08726 + 10.2079i −0.0947777 + 0.463519i
\(486\) −1.11308 + 0.872382i −0.0504904 + 0.0395720i
\(487\) 11.8969 + 23.3489i 0.539099 + 1.05804i 0.986508 + 0.163712i \(0.0523468\pi\)
−0.447409 + 0.894329i \(0.647653\pi\)
\(488\) 25.9123 + 1.23872i 1.17300 + 0.0560744i
\(489\) −9.60975 + 3.12240i −0.434568 + 0.141200i
\(490\) −0.646608 + 3.87706i −0.0292108 + 0.175148i
\(491\) 5.45014 + 1.77086i 0.245961 + 0.0799177i 0.429403 0.903113i \(-0.358724\pi\)
−0.183442 + 0.983031i \(0.558724\pi\)
\(492\) 5.08555 5.88656i 0.229274 0.265386i
\(493\) −3.16462 + 3.16462i −0.142527 + 0.142527i
\(494\) 45.2215 + 12.8922i 2.03461 + 0.580047i
\(495\) −0.409883 + 9.18113i −0.0184229 + 0.412661i
\(496\) 19.3037 9.56179i 0.866762 0.429337i
\(497\) −15.6324 2.47594i −0.701211 0.111061i
\(498\) −11.2234 1.36063i −0.502934 0.0609712i
\(499\) −12.2234 −0.547193 −0.273596 0.961845i \(-0.588213\pi\)
−0.273596 + 0.961845i \(0.588213\pi\)
\(500\) 8.19277 20.8057i 0.366392 0.930461i
\(501\) 2.67311 0.119426
\(502\) −7.61495 0.923169i −0.339872 0.0412031i
\(503\) −14.7797 2.34087i −0.658992 0.104374i −0.182023 0.983294i \(-0.558265\pi\)
−0.476969 + 0.878920i \(0.658265\pi\)
\(504\) 0.885906 + 8.07211i 0.0394614 + 0.359560i
\(505\) 0.399945 8.95851i 0.0177973 0.398648i
\(506\) 8.41699 + 2.39960i 0.374181 + 0.106675i
\(507\) 8.69563 8.69563i 0.386186 0.386186i
\(508\) −22.3424 19.3022i −0.991284 0.856397i
\(509\) 39.6985 + 12.8988i 1.75960 + 0.571730i 0.997159 0.0753238i \(-0.0239990\pi\)
0.762444 + 0.647054i \(0.223999\pi\)
\(510\) −3.69532 + 22.1571i −0.163631 + 0.981133i
\(511\) 6.54179 2.12556i 0.289392 0.0940291i
\(512\) 20.0178 10.5494i 0.884668 0.466221i
\(513\) 3.00128 + 5.89035i 0.132510 + 0.260065i
\(514\) 16.8528 13.2085i 0.743347 0.582601i
\(515\) −0.318416 + 1.55724i −0.0140311 + 0.0686202i
\(516\) 4.54993 + 11.1630i 0.200299 + 0.491422i
\(517\) 5.36419 + 33.8681i 0.235917 + 1.48952i
\(518\) −36.1369 16.7836i −1.58776 0.737430i
\(519\) −4.64389 3.37398i −0.203844 0.148101i
\(520\) −2.05660 31.7438i −0.0901879 1.39206i
\(521\) 0.348795 0.253415i 0.0152810 0.0111023i −0.580119 0.814532i \(-0.696994\pi\)
0.595400 + 0.803430i \(0.296994\pi\)
\(522\) 0.874376 0.171351i 0.0382704 0.00749982i
\(523\) −20.4568 + 40.1487i −0.894513 + 1.75558i −0.294363 + 0.955694i \(0.595107\pi\)
−0.600151 + 0.799887i \(0.704893\pi\)
\(524\) 1.24570 1.05178i 0.0544184 0.0459471i
\(525\) 12.3194 7.36935i 0.537661 0.321625i
\(526\) 14.0493 + 38.4170i 0.612577 + 1.67506i
\(527\) 34.0862 + 17.3678i 1.48482 + 0.756553i
\(528\) 15.5769 + 5.25709i 0.677896 + 0.228786i
\(529\) 12.1863 + 16.7730i 0.529839 + 0.729261i
\(530\) 5.19593 15.5574i 0.225697 0.675770i
\(531\) 2.71232 3.73319i 0.117705 0.162007i
\(532\) 37.8260 + 3.19270i 1.63996 + 0.138421i
\(533\) −19.3223 + 3.06034i −0.836940 + 0.132558i
\(534\) 0.341522 + 9.36875i 0.0147791 + 0.405425i
\(535\) −7.56152 8.26822i −0.326913 0.357466i
\(536\) −6.63944 + 31.9570i −0.286780 + 1.38033i
\(537\) 17.1533 8.74007i 0.740222 0.377162i
\(538\) 0.417836 + 0.388444i 0.0180142 + 0.0167470i
\(539\) 1.57865 + 4.85858i 0.0679972 + 0.209274i
\(540\) 3.07166 3.25037i 0.132183 0.139874i
\(541\) −4.70865 + 14.4917i −0.202441 + 0.623049i 0.797368 + 0.603493i \(0.206225\pi\)
−0.999809 + 0.0195552i \(0.993775\pi\)
\(542\) −15.7437 + 8.75843i −0.676252 + 0.376207i
\(543\) −6.68087 6.68087i −0.286704 0.286704i
\(544\) 36.2503 + 17.3383i 1.55422 + 0.743373i
\(545\) −8.89458 + 23.7187i −0.381002 + 1.01600i
\(546\) 11.3938 16.9480i 0.487611 0.725305i
\(547\) −2.61858 + 16.5331i −0.111962 + 0.706903i 0.866299 + 0.499526i \(0.166493\pi\)
−0.978261 + 0.207377i \(0.933507\pi\)
\(548\) −18.3270 + 4.29027i −0.782892 + 0.183271i
\(549\) 9.17186i 0.391445i
\(550\) −3.02534 28.9043i −0.129001 1.23248i
\(551\) 4.16511i 0.177440i
\(552\) −2.33602 3.56124i −0.0994275 0.151577i
\(553\) −1.68697 + 10.6511i −0.0717372 + 0.452931i
\(554\) −19.3483 13.0076i −0.822032 0.552639i
\(555\) 5.84323 + 21.1506i 0.248031 + 0.897792i
\(556\) −2.73727 37.4949i −0.116086 1.59014i
\(557\) 27.3212 + 27.3212i 1.15764 + 1.15764i 0.984983 + 0.172654i \(0.0552343\pi\)
0.172654 + 0.984983i \(0.444766\pi\)
\(558\) −3.70263 6.65568i −0.156745 0.281757i
\(559\) 9.36794 28.8315i 0.396221 1.21944i
\(560\) −6.55737 24.8282i −0.277099 1.04918i
\(561\) 9.02186 + 27.7664i 0.380903 + 1.17230i
\(562\) −3.09576 + 3.33000i −0.130587 + 0.140467i
\(563\) 16.9090 8.61555i 0.712628 0.363102i −0.0597950 0.998211i \(-0.519045\pi\)
0.772423 + 0.635109i \(0.219045\pi\)
\(564\) 8.79899 14.1777i 0.370504 0.596990i
\(565\) −21.6872 + 9.85772i −0.912386 + 0.414717i
\(566\) −13.4524 + 0.490385i −0.565447 + 0.0206124i
\(567\) 2.83571 0.449132i 0.119089 0.0188618i
\(568\) 15.0423 4.10470i 0.631161 0.172229i
\(569\) −14.3767 + 19.7878i −0.602701 + 0.829547i −0.995952 0.0898841i \(-0.971350\pi\)
0.393251 + 0.919431i \(0.371350\pi\)
\(570\) −12.1492 17.0128i −0.508875 0.712588i
\(571\) 16.9704 + 23.3577i 0.710188 + 0.977490i 0.999793 + 0.0203441i \(0.00647618\pi\)
−0.289605 + 0.957146i \(0.593524\pi\)
\(572\) −21.4021 35.3733i −0.894866 1.47903i
\(573\) −3.43845 1.75198i −0.143643 0.0731899i
\(574\) −14.8320 + 5.42413i −0.619075 + 0.226399i
\(575\) −4.00228 + 6.37710i −0.166907 + 0.265944i
\(576\) −4.06346 6.89118i −0.169311 0.287132i
\(577\) −3.26771 + 6.41324i −0.136036 + 0.266986i −0.948968 0.315373i \(-0.897870\pi\)
0.812931 + 0.582359i \(0.197870\pi\)
\(578\) 9.09989 + 46.4353i 0.378506 + 1.93145i
\(579\) −0.322206 + 0.234096i −0.0133904 + 0.00972871i
\(580\) −2.65404 + 0.946060i −0.110203 + 0.0392830i
\(581\) 18.5685 + 13.4908i 0.770353 + 0.559694i
\(582\) 2.77576 5.97651i 0.115059 0.247734i
\(583\) −3.33485 21.0554i −0.138115 0.872026i
\(584\) −5.01491 + 4.55732i −0.207519 + 0.188583i
\(585\) −11.1756 + 1.26219i −0.462055 + 0.0521852i
\(586\) −2.71791 3.46781i −0.112276 0.143254i
\(587\) 8.38878 + 16.4639i 0.346242 + 0.679538i 0.996802 0.0799173i \(-0.0254656\pi\)
−0.650560 + 0.759455i \(0.725466\pi\)
\(588\) 0.964322 2.29128i 0.0397680 0.0944907i
\(589\) −33.8605 + 11.0020i −1.39520 + 0.453328i
\(590\) −6.73084 + 12.9472i −0.277104 + 0.533027i
\(591\) 15.8641 + 5.15456i 0.652562 + 0.212030i
\(592\) 39.2501 + 0.444757i 1.61317 + 0.0182794i
\(593\) 0.577494 0.577494i 0.0237148 0.0237148i −0.695150 0.718865i \(-0.744662\pi\)
0.718865 + 0.695150i \(0.244662\pi\)
\(594\) 1.59357 5.58972i 0.0653850 0.229349i
\(595\) 28.4238 35.6617i 1.16526 1.46199i
\(596\) 0.849928 3.45388i 0.0348144 0.141477i
\(597\) 3.00354 + 0.475714i 0.122927 + 0.0194697i
\(598\) −1.28904 + 10.6329i −0.0527128 + 0.434812i
\(599\) 0.789836 0.0322718 0.0161359 0.999870i \(-0.494864\pi\)
0.0161359 + 0.999870i \(0.494864\pi\)
\(600\) −8.08111 + 11.6058i −0.329910 + 0.473807i
\(601\) 23.6331 0.964016 0.482008 0.876167i \(-0.339908\pi\)
0.482008 + 0.876167i \(0.339908\pi\)
\(602\) 2.94527 24.2947i 0.120040 0.990178i
\(603\) 11.3977 + 1.80522i 0.464150 + 0.0735142i
\(604\) 4.07283 16.5509i 0.165721 0.673447i
\(605\) −7.26121 10.9939i −0.295210 0.446966i
\(606\) −1.55493 + 5.45418i −0.0631648 + 0.221561i
\(607\) −2.37288 + 2.37288i −0.0963122 + 0.0963122i −0.753621 0.657309i \(-0.771695\pi\)
0.657309 + 0.753621i \(0.271695\pi\)
\(608\) −35.2652 + 12.4455i −1.43019 + 0.504731i
\(609\) −1.72034 0.558972i −0.0697117 0.0226507i
\(610\) 4.30282 + 28.6830i 0.174216 + 1.16134i
\(611\) −39.9092 + 12.9673i −1.61455 + 0.524600i
\(612\) 5.51103 13.0945i 0.222770 0.529313i
\(613\) −19.9127 39.0809i −0.804267 1.57846i −0.815663 0.578528i \(-0.803627\pi\)
0.0113957 0.999935i \(-0.496373\pi\)
\(614\) −23.3584 29.8033i −0.942669 1.20276i
\(615\) 7.56554 + 4.29018i 0.305072 + 0.172997i
\(616\) −22.4463 24.7002i −0.904389 0.995198i
\(617\) −6.74622 42.5940i −0.271593 1.71477i −0.626123 0.779725i \(-0.715359\pi\)
0.354530 0.935045i \(-0.384641\pi\)
\(618\) 0.423447 0.911727i 0.0170335 0.0366750i
\(619\) 17.0937 + 12.4193i 0.687054 + 0.499174i 0.875690 0.482873i \(-0.160407\pi\)
−0.188636 + 0.982047i \(0.560407\pi\)
\(620\) 14.7016 + 19.0772i 0.590430 + 0.766158i
\(621\) −1.21822 + 0.885086i −0.0488853 + 0.0355173i
\(622\) −4.66733 23.8166i −0.187143 0.954961i
\(623\) 8.64059 16.9581i 0.346178 0.679413i
\(624\) −3.37220 + 19.8340i −0.134996 + 0.793996i
\(625\) 24.6030 + 4.43781i 0.984119 + 0.177512i
\(626\) 32.0233 11.7111i 1.27991 0.468068i
\(627\) −24.2094 12.3353i −0.966831 0.492625i
\(628\) 5.62915 + 9.30385i 0.224628 + 0.371264i
\(629\) 40.9730 + 56.3945i 1.63370 + 2.24860i
\(630\) −8.65737 + 2.73489i −0.344918 + 0.108961i
\(631\) 8.57072 11.7966i 0.341195 0.469615i −0.603595 0.797291i \(-0.706266\pi\)
0.944790 + 0.327677i \(0.106266\pi\)
\(632\) −2.79672 10.2490i −0.111248 0.407684i
\(633\) −12.0840 + 1.91391i −0.480294 + 0.0760712i
\(634\) 40.7075 1.48392i 1.61670 0.0589341i
\(635\) 16.2834 28.7150i 0.646186 1.13952i
\(636\) −5.47022 + 8.81411i −0.216908 + 0.349502i
\(637\) −5.57031 + 2.83821i −0.220704 + 0.112454i
\(638\) −2.49341 + 2.68208i −0.0987151 + 0.106184i
\(639\) −1.70352 5.24290i −0.0673902 0.207406i
\(640\) 15.9405 + 19.6444i 0.630102 + 0.776512i
\(641\) 11.6983 36.0038i 0.462057 1.42206i −0.400590 0.916258i \(-0.631195\pi\)
0.862646 0.505807i \(-0.168805\pi\)
\(642\) 3.44500 + 6.19257i 0.135963 + 0.244401i
\(643\) 23.2894 + 23.2894i 0.918443 + 0.918443i 0.996916 0.0784732i \(-0.0250045\pi\)
−0.0784732 + 0.996916i \(0.525004\pi\)
\(644\) 0.629548 + 8.62351i 0.0248077 + 0.339814i
\(645\) −11.2460 + 7.42768i −0.442809 + 0.292464i
\(646\) −55.1147 37.0527i −2.16846 1.45782i
\(647\) −3.38894 + 21.3969i −0.133233 + 0.841200i 0.827041 + 0.562141i \(0.190022\pi\)
−0.960274 + 0.279058i \(0.909978\pi\)
\(648\) −2.36502 + 1.55135i −0.0929068 + 0.0609427i
\(649\) 18.9656i 0.744463i
\(650\) 34.3572 9.19008i 1.34760 0.360464i
\(651\) 15.4621i 0.606008i
\(652\) −19.6766 + 4.60620i −0.770596 + 0.180393i
\(653\) 6.17299 38.9747i 0.241568 1.52520i −0.506886 0.862013i \(-0.669204\pi\)
0.748454 0.663187i \(-0.230796\pi\)
\(654\) 8.93854 13.2958i 0.349525 0.519906i
\(655\) 1.42540 + 1.13610i 0.0556950 + 0.0443911i
\(656\) 11.1253 10.8760i 0.434368 0.424635i
\(657\) 1.69408 + 1.69408i 0.0660923 + 0.0660923i
\(658\) −29.6030 + 16.4685i −1.15404 + 0.642008i
\(659\) 14.9986 46.1611i 0.584264 1.79818i −0.0179400 0.999839i \(-0.505711\pi\)
0.602204 0.798342i \(-0.294289\pi\)
\(660\) −2.36123 + 18.2282i −0.0919109 + 0.709534i
\(661\) −5.19782 15.9972i −0.202172 0.622221i −0.999818 0.0190946i \(-0.993922\pi\)
0.797646 0.603126i \(-0.206078\pi\)
\(662\) 21.6792 + 20.1542i 0.842585 + 0.783315i
\(663\) −31.8339 + 16.2202i −1.23633 + 0.629940i
\(664\) −22.1384 4.59952i −0.859138 0.178496i
\(665\) 4.76309 + 42.1730i 0.184705 + 1.63540i
\(666\) −0.505560 13.8687i −0.0195901 0.537401i
\(667\) 0.937028 0.148411i 0.0362819 0.00574649i
\(668\) 5.32729 + 0.449649i 0.206119 + 0.0173974i
\(669\) −13.1791 + 18.1395i −0.509535 + 0.701314i
\(670\) −36.4907 0.298403i −1.40976 0.0115283i
\(671\) 22.1574 + 30.4971i 0.855378 + 1.17733i
\(672\) 0.407713 + 16.2360i 0.0157279 + 0.626319i
\(673\) 16.7415 + 8.53020i 0.645336 + 0.328815i 0.745843 0.666121i \(-0.232047\pi\)
−0.100508 + 0.994936i \(0.532047\pi\)
\(674\) 0.00352471 + 0.00963814i 0.000135767 + 0.000371247i
\(675\) 4.23503 + 2.65791i 0.163006 + 0.102303i
\(676\) 18.7923 15.8669i 0.722782 0.610266i
\(677\) −1.37849 + 2.70543i −0.0529796 + 0.103978i −0.915978 0.401228i \(-0.868584\pi\)
0.862999 + 0.505206i \(0.168584\pi\)
\(678\) 14.7854 2.89748i 0.567829 0.111277i
\(679\) −10.8230 + 7.86335i −0.415348 + 0.301768i
\(680\) −11.0915 + 43.5356i −0.425341 + 1.66951i
\(681\) 3.19782 + 2.32335i 0.122541 + 0.0890311i
\(682\) 28.3904 + 13.1858i 1.08712 + 0.504909i
\(683\) 5.65364 + 35.6957i 0.216331 + 1.36586i 0.821703 + 0.569916i \(0.193024\pi\)
−0.605373 + 0.795942i \(0.706976\pi\)
\(684\) 4.99047 + 12.2438i 0.190815 + 0.468154i
\(685\) −8.70809 19.1580i −0.332719 0.731988i
\(686\) 18.3979 14.4194i 0.702434 0.550535i
\(687\) −3.47023 6.81071i −0.132398 0.259845i
\(688\) 7.18987 + 23.0122i 0.274111 + 0.877330i
\(689\) 24.8111 8.06160i 0.945226 0.307122i
\(690\) 3.39449 3.33942i 0.129226 0.127130i
\(691\) −2.18584 0.710223i −0.0831533 0.0270182i 0.267145 0.963656i \(-0.413920\pi\)
−0.350298 + 0.936638i \(0.613920\pi\)
\(692\) −8.68733 7.50522i −0.330243 0.285306i
\(693\) −8.34392 + 8.34392i −0.316959 + 0.316959i
\(694\) −16.2785 4.64084i −0.617924 0.176164i
\(695\) 40.5145 11.1929i 1.53680 0.424569i
\(696\) 1.77138 0.194407i 0.0671439 0.00736898i
\(697\) 27.2891 + 4.32217i 1.03365 + 0.163714i
\(698\) −24.0297 2.91315i −0.909537 0.110264i
\(699\) −2.70071 −0.102150
\(700\) 25.7910 12.6142i 0.974810 0.476773i
\(701\) −23.4413 −0.885365 −0.442683 0.896678i \(-0.645973\pi\)
−0.442683 + 0.896678i \(0.645973\pi\)
\(702\) 7.06131 + 0.856051i 0.266512 + 0.0323096i
\(703\) −64.0750 10.1485i −2.41664 0.382758i
\(704\) 30.1590 + 13.0971i 1.13666 + 0.493617i
\(705\) 17.4679 + 6.55053i 0.657880 + 0.246707i
\(706\) −37.2124 10.6089i −1.40051 0.399270i
\(707\) 8.14160 8.14160i 0.306196 0.306196i
\(708\) 6.03339 6.98368i 0.226749 0.262463i
\(709\) −13.5161 4.39166i −0.507609 0.164932i 0.0440055 0.999031i \(-0.485988\pi\)
−0.551615 + 0.834099i \(0.685988\pi\)
\(710\) 7.78701 + 15.5969i 0.292241 + 0.585340i
\(711\) −3.57223 + 1.16069i −0.133969 + 0.0435292i
\(712\) −0.895308 + 18.7286i −0.0335531 + 0.701882i
\(713\) −3.68164 7.22562i −0.137878 0.270602i
\(714\) −22.7007 + 17.7918i −0.849552 + 0.665840i
\(715\) 34.1105 31.1950i 1.27566 1.16663i
\(716\) 35.6553 14.5328i 1.33250 0.543116i
\(717\) −2.76710 17.4708i −0.103339 0.652458i
\(718\) 18.1311 + 8.42091i 0.676647 + 0.314265i
\(719\) −21.6382 15.7211i −0.806968 0.586296i 0.105982 0.994368i \(-0.466201\pi\)
−0.912950 + 0.408072i \(0.866201\pi\)
\(720\) 6.66831 5.96102i 0.248513 0.222154i
\(721\) −1.65106 + 1.19957i −0.0614888 + 0.0446743i
\(722\) 34.2845 6.71870i 1.27594 0.250044i
\(723\) 4.71454 9.25280i 0.175335 0.344115i
\(724\) −12.1906 14.4382i −0.453060 0.536592i
\(725\) −1.61716 2.70342i −0.0600599 0.100402i
\(726\) 2.86199 + 7.82596i 0.106218 + 0.290448i
\(727\) −6.67481 3.40098i −0.247555 0.126136i 0.325811 0.945435i \(-0.394363\pi\)
−0.573366 + 0.819299i \(0.694363\pi\)
\(728\) 25.5578 31.8592i 0.947234 1.18078i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −6.09262 4.50312i −0.225498 0.166668i
\(731\) −25.1659 + 34.6379i −0.930794 + 1.28113i
\(732\) 1.54281 18.2787i 0.0570240 0.675601i
\(733\) 21.4291 3.39404i 0.791502 0.125362i 0.252423 0.967617i \(-0.418773\pi\)
0.539079 + 0.842255i \(0.318773\pi\)
\(734\) −0.0450472 1.23575i −0.00166272 0.0456124i
\(735\) 2.72302 + 0.556787i 0.100440 + 0.0205374i
\(736\) −4.05644 7.49019i −0.149522 0.276092i
\(737\) −42.2592 + 21.5322i −1.55664 + 0.793147i
\(738\) −4.02866 3.74528i −0.148297 0.137865i
\(739\) −10.3439 31.8353i −0.380507 1.17108i −0.939688 0.342034i \(-0.888884\pi\)
0.559181 0.829046i \(-0.311116\pi\)
\(740\) 8.08728 + 43.1342i 0.297294 + 1.58564i
\(741\) 10.2750 31.6231i 0.377461 1.16171i
\(742\) 18.4038 10.2382i 0.675624 0.375858i
\(743\) −5.37518 5.37518i −0.197196 0.197196i 0.601601 0.798797i \(-0.294530\pi\)
−0.798797 + 0.601601i \(0.794530\pi\)
\(744\) −6.25947 13.8870i −0.229483 0.509123i
\(745\) 3.97280 + 0.177362i 0.145552 + 0.00649805i
\(746\) 11.8807 17.6722i 0.434985 0.647025i
\(747\) −1.25058 + 7.89584i −0.0457563 + 0.288894i
\(748\) 13.3092 + 56.8537i 0.486631 + 2.07878i
\(749\) 14.3863i 0.525662i
\(750\) −14.4911 6.32526i −0.529139 0.230966i
\(751\) 18.5583i 0.677204i −0.940930 0.338602i \(-0.890046\pi\)
0.940930 0.338602i \(-0.109954\pi\)
\(752\) 19.9205 26.7749i 0.726426 0.976380i
\(753\) −0.848502 + 5.35723i −0.0309211 + 0.195228i
\(754\) −3.71913 2.50031i −0.135443 0.0910560i
\(755\) 19.0375 + 0.849914i 0.692847 + 0.0309316i
\(756\) 5.72687 0.418083i 0.208284 0.0152055i
\(757\) −21.2384 21.2384i −0.771923 0.771923i 0.206520 0.978442i \(-0.433786\pi\)
−0.978442 + 0.206520i \(0.933786\pi\)
\(758\) 10.7303 + 19.2883i 0.389742 + 0.700582i
\(759\) 1.91246 5.88595i 0.0694179 0.213646i
\(760\) −21.3506 35.9487i −0.774468 1.30400i
\(761\) −12.4376 38.2789i −0.450861 1.38761i −0.875926 0.482445i \(-0.839749\pi\)
0.425065 0.905163i \(-0.360251\pi\)
\(762\) −14.2152 + 15.2908i −0.514962 + 0.553926i
\(763\) −28.9801 + 14.7661i −1.04915 + 0.534569i
\(764\) −6.55783 4.06993i −0.237254 0.147245i
\(765\) 15.5619 + 3.18200i 0.562640 + 0.115045i
\(766\) −39.1355 + 1.42662i −1.41402 + 0.0515459i
\(767\) −22.9235 + 3.63073i −0.827719 + 0.131098i
\(768\) −6.93894 14.4170i −0.250388 0.520230i
\(769\) 24.2332 33.3541i 0.873871 1.20278i −0.104210 0.994555i \(-0.533231\pi\)
0.978081 0.208225i \(-0.0667687\pi\)
\(770\) 22.1794 30.0082i 0.799291 1.08142i
\(771\) −8.89948 12.2491i −0.320507 0.441140i
\(772\) −0.681506 + 0.412335i −0.0245280 + 0.0148403i
\(773\) 7.46191 + 3.80203i 0.268386 + 0.136750i 0.583005 0.812468i \(-0.301877\pi\)
&m