Properties

Label 300.2.r.a.59.3
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.3
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40665 + 0.146030i) q^{2} +(1.00033 + 1.41398i) q^{3} +(1.95735 - 0.410828i) q^{4} +(-1.66487 - 1.49272i) q^{5} +(-1.61361 - 1.84290i) q^{6} -0.571505 q^{7} +(-2.69332 + 0.863724i) q^{8} +(-0.998661 + 2.82890i) q^{9} +O(q^{10})\) \(q+(-1.40665 + 0.146030i) q^{2} +(1.00033 + 1.41398i) q^{3} +(1.95735 - 0.410828i) q^{4} +(-1.66487 - 1.49272i) q^{5} +(-1.61361 - 1.84290i) q^{6} -0.571505 q^{7} +(-2.69332 + 0.863724i) q^{8} +(-0.998661 + 2.82890i) q^{9} +(2.55988 + 1.85662i) q^{10} +(5.16870 + 3.75528i) q^{11} +(2.53891 + 2.35668i) q^{12} +(1.72686 + 2.37682i) q^{13} +(0.803910 - 0.0834569i) q^{14} +(0.445243 - 3.84731i) q^{15} +(3.66244 - 1.60827i) q^{16} +(-1.33416 + 4.10613i) q^{17} +(0.991666 - 4.12512i) q^{18} +(-1.41873 - 0.460974i) q^{19} +(-3.87198 - 2.23780i) q^{20} +(-0.571696 - 0.808095i) q^{21} +(-7.81896 - 4.52759i) q^{22} +(-0.0141869 + 0.0195266i) q^{23} +(-3.91551 - 2.94428i) q^{24} +(0.543582 + 4.97036i) q^{25} +(-2.77618 - 3.09119i) q^{26} +(-4.99899 + 1.41776i) q^{27} +(-1.11864 + 0.234790i) q^{28} +(1.13711 - 0.369470i) q^{29} +(-0.0644805 + 5.47685i) q^{30} +(8.64207 + 2.80798i) q^{31} +(-4.91693 + 2.79710i) q^{32} +(-0.139450 + 11.0650i) q^{33} +(1.27709 - 5.97073i) q^{34} +(0.951481 + 0.853096i) q^{35} +(-0.792540 + 5.94743i) q^{36} +(-4.85744 - 6.68569i) q^{37} +(2.06298 + 0.441254i) q^{38} +(-1.63333 + 4.81936i) q^{39} +(5.77333 + 2.58238i) q^{40} +(-2.42710 - 3.34061i) q^{41} +(0.922185 + 1.05322i) q^{42} +2.43642 q^{43} +(11.6597 + 5.22696i) q^{44} +(5.88539 - 3.21903i) q^{45} +(0.0171046 - 0.0295388i) q^{46} +(3.48007 - 1.13074i) q^{47} +(5.93772 + 3.56980i) q^{48} -6.67338 q^{49} +(-1.49045 - 6.91220i) q^{50} +(-7.14058 + 2.22103i) q^{51} +(4.35654 + 3.94283i) q^{52} +(1.79918 + 5.53730i) q^{53} +(6.82482 - 2.72430i) q^{54} +(-2.99964 - 13.9675i) q^{55} +(1.53925 - 0.493623i) q^{56} +(-0.767401 - 2.46719i) q^{57} +(-1.54557 + 0.685770i) q^{58} +(4.98956 - 3.62513i) q^{59} +(-0.709083 - 7.71344i) q^{60} +(-8.41374 - 6.11294i) q^{61} +(-12.5664 - 2.68785i) q^{62} +(0.570740 - 1.61673i) q^{63} +(6.50796 - 4.65258i) q^{64} +(0.672926 - 6.53482i) q^{65} +(-1.41966 - 15.5849i) q^{66} +(-3.09710 + 9.53189i) q^{67} +(-0.924511 + 8.58524i) q^{68} +(-0.0418017 - 0.000526822i) q^{69} +(-1.46298 - 1.06107i) q^{70} +(-1.01727 - 3.13083i) q^{71} +(0.246326 - 8.48171i) q^{72} +(4.98681 - 6.86375i) q^{73} +(7.80905 + 8.69512i) q^{74} +(-6.48422 + 5.74064i) q^{75} +(-2.96634 - 0.319434i) q^{76} +(-2.95394 - 2.14616i) q^{77} +(1.59376 - 7.01768i) q^{78} +(5.80539 - 1.88629i) q^{79} +(-8.49818 - 2.78944i) q^{80} +(-7.00535 - 5.65023i) q^{81} +(3.90191 + 4.34465i) q^{82} +(1.19001 + 0.386657i) q^{83} +(-1.45100 - 1.34686i) q^{84} +(8.35050 - 4.84464i) q^{85} +(-3.42720 + 0.355790i) q^{86} +(1.65992 + 1.23826i) q^{87} +(-17.1645 - 5.64985i) q^{88} +(8.73529 - 12.0231i) q^{89} +(-7.80864 + 5.38750i) q^{90} +(-0.986910 - 1.35836i) q^{91} +(-0.0197466 + 0.0440487i) q^{92} +(4.67454 + 15.0286i) q^{93} +(-4.73013 + 2.09876i) q^{94} +(1.67390 + 2.88523i) q^{95} +(-8.87362 - 4.15439i) q^{96} +(9.99435 - 3.24736i) q^{97} +(9.38714 - 0.974515i) q^{98} +(-15.7851 + 10.8715i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40665 + 0.146030i −0.994655 + 0.103259i
\(3\) 1.00033 + 1.41398i 0.577543 + 0.816360i
\(4\) 1.95735 0.410828i 0.978675 0.205414i
\(5\) −1.66487 1.49272i −0.744552 0.667564i
\(6\) −1.61361 1.84290i −0.658753 0.752360i
\(7\) −0.571505 −0.216009 −0.108004 0.994150i \(-0.534446\pi\)
−0.108004 + 0.994150i \(0.534446\pi\)
\(8\) −2.69332 + 0.863724i −0.952233 + 0.305373i
\(9\) −0.998661 + 2.82890i −0.332887 + 0.942967i
\(10\) 2.55988 + 1.85662i 0.809504 + 0.587114i
\(11\) 5.16870 + 3.75528i 1.55842 + 1.13226i 0.937288 + 0.348555i \(0.113328\pi\)
0.621134 + 0.783705i \(0.286672\pi\)
\(12\) 2.53891 + 2.35668i 0.732919 + 0.680316i
\(13\) 1.72686 + 2.37682i 0.478945 + 0.659211i 0.978302 0.207185i \(-0.0664302\pi\)
−0.499357 + 0.866397i \(0.666430\pi\)
\(14\) 0.803910 0.0834569i 0.214854 0.0223048i
\(15\) 0.445243 3.84731i 0.114961 0.993370i
\(16\) 3.66244 1.60827i 0.915610 0.402067i
\(17\) −1.33416 + 4.10613i −0.323582 + 0.995882i 0.648495 + 0.761219i \(0.275399\pi\)
−0.972077 + 0.234663i \(0.924601\pi\)
\(18\) 0.991666 4.12512i 0.233738 0.972300i
\(19\) −1.41873 0.460974i −0.325480 0.105755i 0.141719 0.989907i \(-0.454737\pi\)
−0.467199 + 0.884152i \(0.654737\pi\)
\(20\) −3.87198 2.23780i −0.865802 0.500387i
\(21\) −0.571696 0.808095i −0.124754 0.176341i
\(22\) −7.81896 4.52759i −1.66701 0.965286i
\(23\) −0.0141869 + 0.0195266i −0.00295817 + 0.00407157i −0.810494 0.585748i \(-0.800801\pi\)
0.807535 + 0.589819i \(0.200801\pi\)
\(24\) −3.91551 2.94428i −0.799250 0.600999i
\(25\) 0.543582 + 4.97036i 0.108716 + 0.994073i
\(26\) −2.77618 3.09119i −0.544454 0.606232i
\(27\) −4.99899 + 1.41776i −0.962057 + 0.272848i
\(28\) −1.11864 + 0.234790i −0.211402 + 0.0443711i
\(29\) 1.13711 0.369470i 0.211157 0.0686089i −0.201529 0.979483i \(-0.564591\pi\)
0.412685 + 0.910874i \(0.364591\pi\)
\(30\) −0.0644805 + 5.47685i −0.0117725 + 0.999931i
\(31\) 8.64207 + 2.80798i 1.55216 + 0.504328i 0.954700 0.297570i \(-0.0961761\pi\)
0.597461 + 0.801898i \(0.296176\pi\)
\(32\) −4.91693 + 2.79710i −0.869199 + 0.494463i
\(33\) −0.139450 + 11.0650i −0.0242752 + 1.92616i
\(34\) 1.27709 5.97073i 0.219018 1.02397i
\(35\) 0.951481 + 0.853096i 0.160830 + 0.144200i
\(36\) −0.792540 + 5.94743i −0.132090 + 0.991238i
\(37\) −4.85744 6.68569i −0.798558 1.09912i −0.992989 0.118205i \(-0.962286\pi\)
0.194431 0.980916i \(-0.437714\pi\)
\(38\) 2.06298 + 0.441254i 0.334660 + 0.0715808i
\(39\) −1.63333 + 4.81936i −0.261542 + 0.771715i
\(40\) 5.77333 + 2.58238i 0.912843 + 0.408311i
\(41\) −2.42710 3.34061i −0.379049 0.521716i 0.576283 0.817250i \(-0.304502\pi\)
−0.955332 + 0.295534i \(0.904502\pi\)
\(42\) 0.922185 + 1.05322i 0.142296 + 0.162516i
\(43\) 2.43642 0.371550 0.185775 0.982592i \(-0.440520\pi\)
0.185775 + 0.982592i \(0.440520\pi\)
\(44\) 11.6597 + 5.22696i 1.75777 + 0.787993i
\(45\) 5.88539 3.21903i 0.877343 0.479865i
\(46\) 0.0171046 0.0295388i 0.00252193 0.00435526i
\(47\) 3.48007 1.13074i 0.507620 0.164936i −0.0439995 0.999032i \(-0.514010\pi\)
0.551620 + 0.834096i \(0.314010\pi\)
\(48\) 5.93772 + 3.56980i 0.857036 + 0.515257i
\(49\) −6.67338 −0.953340
\(50\) −1.49045 6.91220i −0.210782 0.977533i
\(51\) −7.14058 + 2.22103i −0.999881 + 0.311006i
\(52\) 4.35654 + 3.94283i 0.604143 + 0.546772i
\(53\) 1.79918 + 5.53730i 0.247136 + 0.760607i 0.995278 + 0.0970678i \(0.0309464\pi\)
−0.748142 + 0.663539i \(0.769054\pi\)
\(54\) 6.82482 2.72430i 0.928740 0.370731i
\(55\) −2.99964 13.9675i −0.404471 1.88337i
\(56\) 1.53925 0.493623i 0.205690 0.0659631i
\(57\) −0.767401 2.46719i −0.101645 0.326787i
\(58\) −1.54557 + 0.685770i −0.202943 + 0.0900460i
\(59\) 4.98956 3.62513i 0.649586 0.471952i −0.213544 0.976933i \(-0.568501\pi\)
0.863130 + 0.504982i \(0.168501\pi\)
\(60\) −0.709083 7.71344i −0.0915422 0.995801i
\(61\) −8.41374 6.11294i −1.07727 0.782681i −0.100064 0.994981i \(-0.531905\pi\)
−0.977205 + 0.212300i \(0.931905\pi\)
\(62\) −12.5664 2.68785i −1.59594 0.341357i
\(63\) 0.570740 1.61673i 0.0719065 0.203689i
\(64\) 6.50796 4.65258i 0.813495 0.581572i
\(65\) 0.672926 6.53482i 0.0834662 0.810544i
\(66\) −1.41966 15.5849i −0.174748 1.91837i
\(67\) −3.09710 + 9.53189i −0.378371 + 1.16451i 0.562805 + 0.826589i \(0.309722\pi\)
−0.941176 + 0.337916i \(0.890278\pi\)
\(68\) −0.924511 + 8.58524i −0.112113 + 1.04111i
\(69\) −0.0418017 0.000526822i −0.00503234 6.34220e-5i
\(70\) −1.46298 1.06107i −0.174860 0.126822i
\(71\) −1.01727 3.13083i −0.120727 0.371561i 0.872371 0.488844i \(-0.162581\pi\)
−0.993098 + 0.117283i \(0.962581\pi\)
\(72\) 0.246326 8.48171i 0.0290298 0.999579i
\(73\) 4.98681 6.86375i 0.583662 0.803341i −0.410429 0.911892i \(-0.634621\pi\)
0.994091 + 0.108551i \(0.0346212\pi\)
\(74\) 7.80905 + 8.69512i 0.907784 + 1.01079i
\(75\) −6.48422 + 5.74064i −0.748733 + 0.662872i
\(76\) −2.96634 0.319434i −0.340262 0.0366415i
\(77\) −2.95394 2.14616i −0.336632 0.244578i
\(78\) 1.59376 7.01768i 0.180458 0.794596i
\(79\) 5.80539 1.88629i 0.653158 0.212224i 0.0363517 0.999339i \(-0.488426\pi\)
0.616806 + 0.787115i \(0.288426\pi\)
\(80\) −8.49818 2.78944i −0.950125 0.311869i
\(81\) −7.00535 5.65023i −0.778372 0.627803i
\(82\) 3.90191 + 4.34465i 0.430894 + 0.479787i
\(83\) 1.19001 + 0.386657i 0.130620 + 0.0424412i 0.373598 0.927591i \(-0.378124\pi\)
−0.242977 + 0.970032i \(0.578124\pi\)
\(84\) −1.45100 1.34686i −0.158317 0.146954i
\(85\) 8.35050 4.84464i 0.905739 0.525475i
\(86\) −3.42720 + 0.355790i −0.369564 + 0.0383658i
\(87\) 1.65992 + 1.23826i 0.177962 + 0.132755i
\(88\) −17.1645 5.64985i −1.82974 0.602276i
\(89\) 8.73529 12.0231i 0.925939 1.27445i −0.0354840 0.999370i \(-0.511297\pi\)
0.961423 0.275075i \(-0.0887027\pi\)
\(90\) −7.80864 + 5.38750i −0.823102 + 0.567893i
\(91\) −0.986910 1.35836i −0.103456 0.142395i
\(92\) −0.0197466 + 0.0440487i −0.00205873 + 0.00459239i
\(93\) 4.67454 + 15.0286i 0.484728 + 1.55839i
\(94\) −4.73013 + 2.09876i −0.487876 + 0.216470i
\(95\) 1.67390 + 2.88523i 0.171739 + 0.296019i
\(96\) −8.87362 4.15439i −0.905660 0.424006i
\(97\) 9.99435 3.24736i 1.01477 0.329719i 0.246019 0.969265i \(-0.420877\pi\)
0.768753 + 0.639546i \(0.220877\pi\)
\(98\) 9.38714 0.974515i 0.948244 0.0984409i
\(99\) −15.7851 + 10.8715i −1.58646 + 1.09263i
\(100\) 3.10594 + 9.50543i 0.310594 + 0.950543i
\(101\) 9.92678i 0.987752i −0.869532 0.493876i \(-0.835580\pi\)
0.869532 0.493876i \(-0.164420\pi\)
\(102\) 9.71998 4.16696i 0.962422 0.412590i
\(103\) −2.00595 6.17369i −0.197652 0.608312i −0.999935 0.0113677i \(-0.996381\pi\)
0.802283 0.596944i \(-0.203619\pi\)
\(104\) −6.70391 4.91001i −0.657373 0.481466i
\(105\) −0.254459 + 2.19875i −0.0248326 + 0.214576i
\(106\) −3.33943 7.52633i −0.324354 0.731022i
\(107\) 13.1228i 1.26863i −0.773077 0.634313i \(-0.781283\pi\)
0.773077 0.634313i \(-0.218717\pi\)
\(108\) −9.20233 + 4.82878i −0.885494 + 0.464650i
\(109\) −5.63848 + 4.09660i −0.540069 + 0.392383i −0.824111 0.566429i \(-0.808325\pi\)
0.284042 + 0.958812i \(0.408325\pi\)
\(110\) 6.25912 + 19.2094i 0.596784 + 1.83154i
\(111\) 4.59435 13.5562i 0.436076 1.28670i
\(112\) −2.09310 + 0.919133i −0.197780 + 0.0868499i
\(113\) 2.16481 1.57283i 0.203649 0.147959i −0.481287 0.876563i \(-0.659830\pi\)
0.684935 + 0.728604i \(0.259830\pi\)
\(114\) 1.43975 + 3.35841i 0.134845 + 0.314544i
\(115\) 0.0527670 0.0113322i 0.00492055 0.00105673i
\(116\) 2.07394 1.19034i 0.192560 0.110520i
\(117\) −8.44834 + 2.51148i −0.781049 + 0.232186i
\(118\) −6.48921 + 5.82793i −0.597380 + 0.536505i
\(119\) 0.762480 2.34667i 0.0698964 0.215119i
\(120\) 2.12383 + 10.7466i 0.193878 + 0.981026i
\(121\) 9.21415 + 28.3582i 0.837650 + 2.57802i
\(122\) 12.7279 + 7.37013i 1.15233 + 0.667260i
\(123\) 2.29564 6.77359i 0.206991 0.610754i
\(124\) 18.0692 + 1.94580i 1.62266 + 0.174738i
\(125\) 6.51436 9.08642i 0.582662 0.812714i
\(126\) −0.566742 + 2.35753i −0.0504894 + 0.210025i
\(127\) −0.551340 0.400572i −0.0489235 0.0355450i 0.563055 0.826420i \(-0.309626\pi\)
−0.611978 + 0.790875i \(0.709626\pi\)
\(128\) −8.47503 + 7.49492i −0.749094 + 0.662464i
\(129\) 2.43723 + 3.44504i 0.214586 + 0.303319i
\(130\) 0.00770622 + 9.29049i 0.000675880 + 0.814830i
\(131\) −4.86770 + 14.9812i −0.425293 + 1.30892i 0.477421 + 0.878675i \(0.341572\pi\)
−0.902714 + 0.430241i \(0.858428\pi\)
\(132\) 4.27284 + 21.7153i 0.371903 + 1.89007i
\(133\) 0.810813 + 0.263449i 0.0703064 + 0.0228439i
\(134\) 2.96460 13.8603i 0.256103 1.19735i
\(135\) 10.4390 + 5.10170i 0.898446 + 0.439085i
\(136\) 0.0467635 12.2115i 0.00400994 1.04712i
\(137\) 1.09148 0.793004i 0.0932512 0.0677509i −0.540183 0.841548i \(-0.681645\pi\)
0.633434 + 0.773797i \(0.281645\pi\)
\(138\) 0.0588775 0.00536326i 0.00501199 0.000456551i
\(139\) −7.62410 + 10.4937i −0.646668 + 0.890062i −0.998949 0.0458321i \(-0.985406\pi\)
0.352281 + 0.935894i \(0.385406\pi\)
\(140\) 2.21286 + 1.27891i 0.187021 + 0.108088i
\(141\) 5.08008 + 3.78962i 0.427820 + 0.319143i
\(142\) 1.88814 + 4.25544i 0.158449 + 0.357109i
\(143\) 18.7699i 1.56962i
\(144\) 0.892089 + 11.9668i 0.0743407 + 0.997233i
\(145\) −2.44466 1.08227i −0.203018 0.0898776i
\(146\) −6.01240 + 10.3831i −0.497589 + 0.859315i
\(147\) −6.67561 9.43601i −0.550595 0.778269i
\(148\) −12.2544 11.0907i −1.00730 0.911648i
\(149\) 15.2344i 1.24805i 0.781403 + 0.624027i \(0.214504\pi\)
−0.781403 + 0.624027i \(0.785496\pi\)
\(150\) 8.28274 9.02198i 0.676283 0.736642i
\(151\) 7.90033i 0.642920i 0.946923 + 0.321460i \(0.104174\pi\)
−0.946923 + 0.321460i \(0.895826\pi\)
\(152\) 4.21926 + 0.0161576i 0.342227 + 0.00131055i
\(153\) −10.2834 7.87484i −0.831367 0.636643i
\(154\) 4.46857 + 2.58754i 0.360088 + 0.208510i
\(155\) −10.1964 17.5751i −0.818994 1.41167i
\(156\) −1.21707 + 10.1042i −0.0974440 + 0.808983i
\(157\) 7.37427i 0.588531i −0.955724 0.294265i \(-0.904925\pi\)
0.955724 0.294265i \(-0.0950750\pi\)
\(158\) −7.89072 + 3.50111i −0.627752 + 0.278534i
\(159\) −6.02984 + 8.08315i −0.478197 + 0.641036i
\(160\) 12.3613 + 2.68279i 0.977250 + 0.212093i
\(161\) 0.00810787 0.0111595i 0.000638990 0.000879494i
\(162\) 10.6792 + 6.92492i 0.839038 + 0.544073i
\(163\) 14.5917 10.6015i 1.14291 0.830375i 0.155391 0.987853i \(-0.450336\pi\)
0.987523 + 0.157478i \(0.0503363\pi\)
\(164\) −6.12309 5.54163i −0.478133 0.432729i
\(165\) 16.7490 18.2136i 1.30391 1.41792i
\(166\) −1.73039 0.370116i −0.134305 0.0287266i
\(167\) −9.34074 3.03499i −0.722808 0.234855i −0.0755678 0.997141i \(-0.524077\pi\)
−0.647240 + 0.762286i \(0.724077\pi\)
\(168\) 2.23773 + 1.68267i 0.172645 + 0.129821i
\(169\) 1.34999 4.15485i 0.103846 0.319604i
\(170\) −11.0388 + 8.03415i −0.846637 + 0.616191i
\(171\) 2.72089 3.55310i 0.208071 0.271712i
\(172\) 4.76892 1.00095i 0.363627 0.0763215i
\(173\) −10.1333 7.36225i −0.770418 0.559741i 0.131670 0.991294i \(-0.457966\pi\)
−0.902088 + 0.431552i \(0.857966\pi\)
\(174\) −2.51575 1.49940i −0.190719 0.113669i
\(175\) −0.310660 2.84059i −0.0234837 0.214728i
\(176\) 24.9696 + 5.44084i 1.88215 + 0.410119i
\(177\) 10.1171 + 3.42879i 0.760447 + 0.257723i
\(178\) −10.5318 + 18.1879i −0.789391 + 1.36324i
\(179\) −3.15823 9.72002i −0.236057 0.726509i −0.996979 0.0776659i \(-0.975253\pi\)
0.760922 0.648843i \(-0.224747\pi\)
\(180\) 10.1973 8.71865i 0.760063 0.649850i
\(181\) −7.00003 + 21.5439i −0.520308 + 1.60134i 0.253104 + 0.967439i \(0.418548\pi\)
−0.773412 + 0.633904i \(0.781452\pi\)
\(182\) 1.58660 + 1.76663i 0.117607 + 0.130951i
\(183\) 0.227001 18.0118i 0.0167804 1.33147i
\(184\) 0.0213443 0.0648449i 0.00157352 0.00478043i
\(185\) −1.89285 + 18.3816i −0.139165 + 1.35144i
\(186\) −8.77009 20.4574i −0.643055 1.50001i
\(187\) −22.3155 + 16.2132i −1.63187 + 1.18563i
\(188\) 6.34717 3.64297i 0.462915 0.265691i
\(189\) 2.85695 0.810258i 0.207813 0.0589376i
\(190\) −2.77593 3.81408i −0.201387 0.276703i
\(191\) 9.57476 6.95647i 0.692805 0.503353i −0.184776 0.982781i \(-0.559156\pi\)
0.877581 + 0.479428i \(0.159156\pi\)
\(192\) 13.0888 + 4.54797i 0.944601 + 0.328222i
\(193\) 0.806872i 0.0580799i 0.999578 + 0.0290400i \(0.00924501\pi\)
−0.999578 + 0.0290400i \(0.990755\pi\)
\(194\) −13.5844 + 6.02739i −0.975301 + 0.432741i
\(195\) 9.91323 5.58550i 0.709901 0.399986i
\(196\) −13.0621 + 2.74161i −0.933011 + 0.195829i
\(197\) −5.69341 17.5225i −0.405638 1.24843i −0.920361 0.391070i \(-0.872105\pi\)
0.514723 0.857357i \(-0.327895\pi\)
\(198\) 20.6166 17.5975i 1.46516 1.25060i
\(199\) 11.0655i 0.784415i −0.919877 0.392208i \(-0.871711\pi\)
0.919877 0.392208i \(-0.128289\pi\)
\(200\) −5.75707 12.9173i −0.407086 0.913390i
\(201\) −16.5760 + 5.15585i −1.16918 + 0.363666i
\(202\) 1.44961 + 13.9635i 0.101994 + 0.982472i
\(203\) −0.649866 + 0.211154i −0.0456116 + 0.0148201i
\(204\) −13.0642 + 7.28087i −0.914674 + 0.509763i
\(205\) −0.945794 + 9.18465i −0.0660571 + 0.641484i
\(206\) 3.72323 + 8.39131i 0.259409 + 0.584651i
\(207\) −0.0410708 0.0596337i −0.00285462 0.00414483i
\(208\) 10.1471 + 5.92771i 0.703574 + 0.411013i
\(209\) −5.60192 7.71038i −0.387493 0.533338i
\(210\) 0.0368509 3.13004i 0.00254295 0.215994i
\(211\) −13.6581 + 18.7988i −0.940264 + 1.29416i 0.0154551 + 0.999881i \(0.495080\pi\)
−0.955719 + 0.294281i \(0.904920\pi\)
\(212\) 5.79650 + 10.0993i 0.398105 + 0.693622i
\(213\) 3.40931 4.57027i 0.233602 0.313150i
\(214\) 1.91632 + 18.4592i 0.130997 + 1.26184i
\(215\) −4.05632 3.63689i −0.276638 0.248034i
\(216\) 12.2393 8.13624i 0.832782 0.553601i
\(217\) −4.93899 1.60477i −0.335280 0.108939i
\(218\) 7.33317 6.58588i 0.496665 0.446052i
\(219\) 14.6937 + 0.185182i 0.992905 + 0.0125135i
\(220\) −11.6096 26.1069i −0.782716 1.76013i
\(221\) −12.0634 + 3.91965i −0.811475 + 0.263664i
\(222\) −4.48304 + 19.7398i −0.300882 + 1.32485i
\(223\) 4.01422 + 2.91650i 0.268812 + 0.195303i 0.714023 0.700122i \(-0.246871\pi\)
−0.445211 + 0.895426i \(0.646871\pi\)
\(224\) 2.81005 1.59856i 0.187754 0.106808i
\(225\) −14.6035 3.42597i −0.973568 0.228398i
\(226\) −2.81546 + 2.52855i −0.187282 + 0.168197i
\(227\) −2.33225 + 3.21007i −0.154797 + 0.213060i −0.879371 0.476137i \(-0.842037\pi\)
0.724574 + 0.689197i \(0.242037\pi\)
\(228\) −2.51566 4.51388i −0.166604 0.298939i
\(229\) −5.31601 16.3610i −0.351292 1.08116i −0.958129 0.286338i \(-0.907562\pi\)
0.606837 0.794826i \(-0.292438\pi\)
\(230\) −0.0725700 + 0.0236460i −0.00478513 + 0.00155917i
\(231\) 0.0796966 6.32368i 0.00524365 0.416068i
\(232\) −2.74349 + 1.97725i −0.180119 + 0.129813i
\(233\) −3.62305 + 11.1506i −0.237354 + 0.730501i 0.759446 + 0.650570i \(0.225470\pi\)
−0.996800 + 0.0799309i \(0.974530\pi\)
\(234\) 11.5171 4.76649i 0.752899 0.311595i
\(235\) −7.48174 3.31222i −0.488055 0.216066i
\(236\) 8.27702 9.14550i 0.538788 0.595322i
\(237\) 8.47450 + 6.32177i 0.550478 + 0.410643i
\(238\) −0.729861 + 3.41230i −0.0473098 + 0.221187i
\(239\) 17.3488 + 12.6046i 1.12220 + 0.815326i 0.984541 0.175154i \(-0.0560424\pi\)
0.137658 + 0.990480i \(0.456042\pi\)
\(240\) −4.55682 14.8066i −0.294141 0.955762i
\(241\) 16.3429 11.8738i 1.05274 0.764858i 0.0800062 0.996794i \(-0.474506\pi\)
0.972731 + 0.231936i \(0.0745060\pi\)
\(242\) −17.1023 38.5447i −1.09938 2.47775i
\(243\) 0.981596 15.5575i 0.0629694 0.998015i
\(244\) −18.9800 8.50856i −1.21507 0.544705i
\(245\) 11.1103 + 9.96148i 0.709812 + 0.636416i
\(246\) −2.24002 + 9.86333i −0.142819 + 0.628863i
\(247\) −1.35430 4.16811i −0.0861722 0.265211i
\(248\) −25.7012 0.0984221i −1.63203 0.00624981i
\(249\) 0.643683 + 2.06943i 0.0407917 + 0.131145i
\(250\) −7.83656 + 13.7327i −0.495628 + 0.868535i
\(251\) 0.126327 0.00797366 0.00398683 0.999992i \(-0.498731\pi\)
0.00398683 + 0.999992i \(0.498731\pi\)
\(252\) 0.452940 3.39898i 0.0285326 0.214116i
\(253\) −0.146655 + 0.0476513i −0.00922015 + 0.00299581i
\(254\) 0.834040 + 0.482954i 0.0523323 + 0.0303032i
\(255\) 15.2035 + 6.96115i 0.952080 + 0.435924i
\(256\) 10.8270 11.7804i 0.676684 0.736273i
\(257\) 23.6075 1.47260 0.736299 0.676656i \(-0.236572\pi\)
0.736299 + 0.676656i \(0.236572\pi\)
\(258\) −3.93142 4.49007i −0.244760 0.279539i
\(259\) 2.77605 + 3.82091i 0.172495 + 0.237420i
\(260\) −1.36753 13.0674i −0.0848107 0.810404i
\(261\) −0.0903960 + 3.58575i −0.00559537 + 0.221953i
\(262\) 4.65945 21.7842i 0.287862 1.34583i
\(263\) 6.23673 + 8.58413i 0.384573 + 0.529320i 0.956789 0.290783i \(-0.0939159\pi\)
−0.572215 + 0.820103i \(0.693916\pi\)
\(264\) −9.18149 29.9219i −0.565082 1.84157i
\(265\) 5.27024 11.9046i 0.323748 0.731291i
\(266\) −1.17901 0.252179i −0.0722894 0.0154621i
\(267\) 25.7386 + 0.324380i 1.57518 + 0.0198518i
\(268\) −2.14614 + 19.9296i −0.131097 + 1.21740i
\(269\) −18.3932 5.97632i −1.12145 0.364383i −0.311132 0.950367i \(-0.600708\pi\)
−0.810323 + 0.585984i \(0.800708\pi\)
\(270\) −15.4291 5.65192i −0.938982 0.343965i
\(271\) 9.62907 3.12868i 0.584924 0.190053i −0.00158099 0.999999i \(-0.500503\pi\)
0.586505 + 0.809945i \(0.300503\pi\)
\(272\) 1.71746 + 17.1841i 0.104136 + 1.04194i
\(273\) 0.933456 2.75429i 0.0564954 0.166697i
\(274\) −1.41953 + 1.27487i −0.0857568 + 0.0770178i
\(275\) −15.8555 + 27.7316i −0.956123 + 1.67228i
\(276\) −0.0820371 + 0.0161421i −0.00493805 + 0.000971642i
\(277\) 0.984629 1.35523i 0.0591606 0.0814276i −0.778412 0.627754i \(-0.783974\pi\)
0.837572 + 0.546327i \(0.183974\pi\)
\(278\) 9.19208 15.8743i 0.551304 0.952078i
\(279\) −16.5740 + 21.6433i −0.992259 + 1.29575i
\(280\) −3.29948 1.47584i −0.197182 0.0881986i
\(281\) −6.69110 2.17407i −0.399158 0.129694i 0.102557 0.994727i \(-0.467297\pi\)
−0.501715 + 0.865033i \(0.667297\pi\)
\(282\) −7.69931 4.58883i −0.458487 0.273261i
\(283\) −0.0631316 + 0.194299i −0.00375278 + 0.0115499i −0.952915 0.303236i \(-0.901933\pi\)
0.949163 + 0.314786i \(0.101933\pi\)
\(284\) −3.27738 5.71021i −0.194477 0.338838i
\(285\) −2.40519 + 5.25306i −0.142471 + 0.311164i
\(286\) −2.74097 26.4028i −0.162077 1.56123i
\(287\) 1.38710 + 1.90918i 0.0818778 + 0.112695i
\(288\) −3.00237 16.7029i −0.176917 0.984226i
\(289\) −1.32700 0.964124i −0.0780590 0.0567132i
\(290\) 3.59683 + 1.16538i 0.211213 + 0.0684338i
\(291\) 14.5894 + 10.8833i 0.855245 + 0.637992i
\(292\) 6.94111 15.4835i 0.406198 0.906102i
\(293\) 12.9095 0.754182 0.377091 0.926176i \(-0.376924\pi\)
0.377091 + 0.926176i \(0.376924\pi\)
\(294\) 10.7682 + 12.2984i 0.628015 + 0.717255i
\(295\) −13.7183 1.41265i −0.798709 0.0822474i
\(296\) 18.8572 + 13.8112i 1.09606 + 0.802761i
\(297\) −31.1624 11.4446i −1.80823 0.664085i
\(298\) −2.22469 21.4296i −0.128873 1.24138i
\(299\) −0.0709099 −0.00410083
\(300\) −10.3335 + 13.9003i −0.596603 + 0.802536i
\(301\) −1.39242 −0.0802580
\(302\) −1.15369 11.1130i −0.0663872 0.639483i
\(303\) 14.0362 9.93010i 0.806361 0.570470i
\(304\) −5.93740 + 0.593411i −0.340533 + 0.0340345i
\(305\) 4.88288 + 22.7366i 0.279593 + 1.30189i
\(306\) 15.6152 + 9.57548i 0.892662 + 0.547394i
\(307\) 16.8845 0.963647 0.481823 0.876268i \(-0.339975\pi\)
0.481823 + 0.876268i \(0.339975\pi\)
\(308\) −6.66359 2.98723i −0.379694 0.170213i
\(309\) 6.72283 9.01213i 0.382448 0.512682i
\(310\) 16.9093 + 23.2331i 0.960383 + 1.31955i
\(311\) 9.58877 + 6.96665i 0.543729 + 0.395043i 0.825468 0.564449i \(-0.190911\pi\)
−0.281739 + 0.959491i \(0.590911\pi\)
\(312\) 0.236487 14.3908i 0.0133884 0.814720i
\(313\) −11.9954 16.5102i −0.678019 0.933213i 0.321889 0.946777i \(-0.395682\pi\)
−0.999908 + 0.0135646i \(0.995682\pi\)
\(314\) 1.07687 + 10.3730i 0.0607710 + 0.585385i
\(315\) −3.36353 + 1.83969i −0.189514 + 0.103655i
\(316\) 10.5882 6.07714i 0.595635 0.341866i
\(317\) −5.62883 + 17.3238i −0.316147 + 0.972999i 0.659133 + 0.752026i \(0.270923\pi\)
−0.975280 + 0.220973i \(0.929077\pi\)
\(318\) 7.30151 12.2507i 0.409448 0.686987i
\(319\) 7.26486 + 2.36050i 0.406754 + 0.132162i
\(320\) −17.7799 1.96862i −0.993926 0.110049i
\(321\) 18.5553 13.1272i 1.03565 0.732686i
\(322\) −0.00977534 + 0.0168816i −0.000544759 + 0.000940774i
\(323\) 3.78564 5.21049i 0.210639 0.289919i
\(324\) −16.0332 8.18148i −0.890733 0.454527i
\(325\) −10.8750 + 9.87513i −0.603235 + 0.547773i
\(326\) −18.9774 + 17.0435i −1.05106 + 0.943952i
\(327\) −11.4329 3.87472i −0.632239 0.214272i
\(328\) 9.42232 + 6.90100i 0.520260 + 0.381044i
\(329\) −1.98888 + 0.646225i −0.109650 + 0.0356275i
\(330\) −20.9004 + 28.0660i −1.15053 + 1.54498i
\(331\) −13.5418 4.40001i −0.744327 0.241847i −0.0877887 0.996139i \(-0.527980\pi\)
−0.656538 + 0.754293i \(0.727980\pi\)
\(332\) 2.48811 + 0.267935i 0.136553 + 0.0147049i
\(333\) 23.7641 7.06447i 1.30226 0.387131i
\(334\) 13.5824 + 2.90515i 0.743195 + 0.158963i
\(335\) 19.3847 11.2463i 1.05910 0.614449i
\(336\) −3.39344 2.04016i −0.185127 0.111300i
\(337\) 10.1859 + 14.0198i 0.554864 + 0.763705i 0.990662 0.136340i \(-0.0435339\pi\)
−0.435798 + 0.900044i \(0.643534\pi\)
\(338\) −1.29224 + 6.04158i −0.0702886 + 0.328619i
\(339\) 4.38948 + 1.48764i 0.238404 + 0.0807976i
\(340\) 14.3545 12.9133i 0.778484 0.700320i
\(341\) 34.1235 + 46.9670i 1.84789 + 2.54341i
\(342\) −3.30848 + 5.39531i −0.178902 + 0.291745i
\(343\) 7.81441 0.421938
\(344\) −6.56205 + 2.10439i −0.353802 + 0.113461i
\(345\) 0.0688081 + 0.0632753i 0.00370450 + 0.00340663i
\(346\) 15.3291 + 8.87637i 0.824098 + 0.477197i
\(347\) −7.16370 + 2.32763i −0.384568 + 0.124954i −0.494919 0.868939i \(-0.664802\pi\)
0.110351 + 0.993893i \(0.464802\pi\)
\(348\) 3.75775 + 1.74176i 0.201436 + 0.0933684i
\(349\) −29.9877 −1.60521 −0.802604 0.596513i \(-0.796553\pi\)
−0.802604 + 0.596513i \(0.796553\pi\)
\(350\) 0.851802 + 3.95036i 0.0455307 + 0.211156i
\(351\) −12.0023 9.43344i −0.640637 0.503520i
\(352\) −35.9181 4.00708i −1.91444 0.213578i
\(353\) −5.71654 17.5937i −0.304261 0.936419i −0.979952 0.199234i \(-0.936155\pi\)
0.675691 0.737185i \(-0.263845\pi\)
\(354\) −14.7319 3.34572i −0.782994 0.177823i
\(355\) −2.97983 + 6.73091i −0.158153 + 0.357240i
\(356\) 12.1586 27.1221i 0.644405 1.43747i
\(357\) 4.08087 1.26933i 0.215983 0.0671800i
\(358\) 5.86195 + 13.2115i 0.309814 + 0.698250i
\(359\) −10.7589 + 7.81678i −0.567832 + 0.412554i −0.834317 0.551285i \(-0.814138\pi\)
0.266485 + 0.963839i \(0.414138\pi\)
\(360\) −13.0709 + 13.7532i −0.688897 + 0.724859i
\(361\) −13.5710 9.85992i −0.714264 0.518943i
\(362\) 6.70056 31.3270i 0.352174 1.64651i
\(363\) −30.8807 + 41.3963i −1.62081 + 2.17274i
\(364\) −2.48978 2.25335i −0.130500 0.118107i
\(365\) −18.5480 + 3.98335i −0.970848 + 0.208498i
\(366\) 2.31096 + 25.3695i 0.120796 + 1.32609i
\(367\) 1.95631 6.02092i 0.102119 0.314289i −0.886925 0.461914i \(-0.847163\pi\)
0.989043 + 0.147625i \(0.0471628\pi\)
\(368\) −0.0205547 + 0.0943312i −0.00107149 + 0.00491735i
\(369\) 11.8741 3.52987i 0.618141 0.183758i
\(370\) −0.0216766 26.1330i −0.00112691 1.35859i
\(371\) −1.02824 3.16459i −0.0533835 0.164298i
\(372\) 15.3239 + 27.4958i 0.794507 + 1.42559i
\(373\) 8.27640 11.3915i 0.428536 0.589829i −0.539080 0.842254i \(-0.681228\pi\)
0.967616 + 0.252425i \(0.0812281\pi\)
\(374\) 29.0226 26.0651i 1.50072 1.34779i
\(375\) 19.3645 + 0.121695i 0.999980 + 0.00628430i
\(376\) −8.39629 + 6.05127i −0.433006 + 0.312071i
\(377\) 2.84180 + 2.06469i 0.146360 + 0.106337i
\(378\) −3.90042 + 1.55695i −0.200616 + 0.0800810i
\(379\) 5.02371 1.63230i 0.258051 0.0838458i −0.177135 0.984187i \(-0.556683\pi\)
0.435185 + 0.900341i \(0.356683\pi\)
\(380\) 4.46174 + 4.95973i 0.228883 + 0.254429i
\(381\) 0.0148750 1.18029i 0.000762071 0.0604680i
\(382\) −12.4525 + 11.1836i −0.637126 + 0.572200i
\(383\) −16.8153 5.46361i −0.859219 0.279177i −0.153917 0.988084i \(-0.549189\pi\)
−0.705302 + 0.708907i \(0.749189\pi\)
\(384\) −19.0755 4.48607i −0.973443 0.228929i
\(385\) 1.71431 + 7.98248i 0.0873691 + 0.406825i
\(386\) −0.117828 1.13499i −0.00599727 0.0577694i
\(387\) −2.43316 + 6.89238i −0.123684 + 0.350359i
\(388\) 18.2283 10.4622i 0.925403 0.531137i
\(389\) −3.77356 + 5.19386i −0.191327 + 0.263339i −0.893894 0.448279i \(-0.852037\pi\)
0.702567 + 0.711618i \(0.252037\pi\)
\(390\) −13.1288 + 9.30450i −0.664804 + 0.471151i
\(391\) −0.0612510 0.0843047i −0.00309759 0.00426347i
\(392\) 17.9736 5.76396i 0.907802 0.291124i
\(393\) −26.0524 + 8.10343i −1.31417 + 0.408764i
\(394\) 10.5675 + 23.8167i 0.532381 + 1.19987i
\(395\) −12.4809 5.52540i −0.627983 0.278013i
\(396\) −26.4307 + 27.7643i −1.32819 + 1.39521i
\(397\) 23.7613 7.72051i 1.19254 0.387481i 0.355531 0.934664i \(-0.384300\pi\)
0.837013 + 0.547183i \(0.184300\pi\)
\(398\) 1.61590 + 15.5654i 0.0809979 + 0.780222i
\(399\) 0.438573 + 1.41001i 0.0219561 + 0.0705887i
\(400\) 9.98451 + 17.3294i 0.499226 + 0.866472i
\(401\) 9.88161i 0.493464i −0.969084 0.246732i \(-0.920643\pi\)
0.969084 0.246732i \(-0.0793567\pi\)
\(402\) 22.5638 9.67310i 1.12538 0.482450i
\(403\) 8.24959 + 25.3896i 0.410942 + 1.26475i
\(404\) −4.07820 19.4302i −0.202898 0.966688i
\(405\) 3.22880 + 19.8639i 0.160440 + 0.987046i
\(406\) 0.883301 0.391921i 0.0438375 0.0194507i
\(407\) 52.7974i 2.61707i
\(408\) 17.3135 12.1494i 0.857147 0.601486i
\(409\) 4.17728 3.03497i 0.206553 0.150070i −0.479700 0.877433i \(-0.659254\pi\)
0.686253 + 0.727363i \(0.259254\pi\)
\(410\) −0.0108311 13.0577i −0.000534908 0.644876i
\(411\) 2.21313 + 0.750053i 0.109166 + 0.0369974i
\(412\) −6.46268 11.2600i −0.318393 0.554739i
\(413\) −2.85156 + 2.07178i −0.140316 + 0.101946i
\(414\) 0.0664807 + 0.0778864i 0.00326735 + 0.00382791i
\(415\) −1.40404 2.42008i −0.0689216 0.118797i
\(416\) −15.1391 6.85646i −0.742254 0.336165i
\(417\) −22.4645 0.283117i −1.10009 0.0138643i
\(418\) 9.00591 + 10.0278i 0.440494 + 0.490475i
\(419\) 0.814332 2.50625i 0.0397827 0.122439i −0.929193 0.369595i \(-0.879496\pi\)
0.968975 + 0.247157i \(0.0794963\pi\)
\(420\) 0.405244 + 4.40827i 0.0197739 + 0.215102i
\(421\) 5.25352 + 16.1687i 0.256041 + 0.788012i 0.993623 + 0.112755i \(0.0359675\pi\)
−0.737582 + 0.675257i \(0.764033\pi\)
\(422\) 16.4671 28.4379i 0.801604 1.38433i
\(423\) −0.276652 + 10.9740i −0.0134513 + 0.533574i
\(424\) −9.62847 13.3597i −0.467600 0.648806i
\(425\) −21.1342 4.39925i −1.02516 0.213395i
\(426\) −4.12832 + 6.92665i −0.200018 + 0.335597i
\(427\) 4.80849 + 3.49357i 0.232699 + 0.169066i
\(428\) −5.39119 25.6858i −0.260593 1.24157i
\(429\) −26.5402 + 18.7762i −1.28137 + 0.906524i
\(430\) 6.23693 + 4.52349i 0.300771 + 0.218142i
\(431\) −1.46991 + 4.52393i −0.0708032 + 0.217910i −0.980196 0.198028i \(-0.936546\pi\)
0.909393 + 0.415937i \(0.136546\pi\)
\(432\) −16.0284 + 13.2322i −0.771166 + 0.636634i
\(433\) 22.8496 + 7.42429i 1.09808 + 0.356789i 0.801365 0.598176i \(-0.204108\pi\)
0.296718 + 0.954965i \(0.404108\pi\)
\(434\) 7.18179 + 1.53612i 0.344737 + 0.0737361i
\(435\) −0.915174 4.53932i −0.0438792 0.217644i
\(436\) −9.35349 + 10.3349i −0.447951 + 0.494953i
\(437\) 0.0291287 0.0211632i 0.00139341 0.00101237i
\(438\) −20.6959 + 1.88523i −0.988890 + 0.0900797i
\(439\) 12.8074 17.6279i 0.611265 0.841335i −0.385415 0.922743i \(-0.625942\pi\)
0.996681 + 0.0814086i \(0.0259419\pi\)
\(440\) 20.1430 + 35.0280i 0.960281 + 1.66990i
\(441\) 6.66445 18.8783i 0.317355 0.898968i
\(442\) 16.3967 7.27522i 0.779911 0.346047i
\(443\) 4.33324i 0.205878i −0.994688 0.102939i \(-0.967175\pi\)
0.994688 0.102939i \(-0.0328247\pi\)
\(444\) 3.42348 28.4218i 0.162471 1.34884i
\(445\) −32.4902 + 6.97755i −1.54018 + 0.330768i
\(446\) −6.07251 3.51631i −0.287542 0.166502i
\(447\) −21.5411 + 15.2395i −1.01886 + 0.720805i
\(448\) −3.71933 + 2.65897i −0.175722 + 0.125625i
\(449\) 2.83535i 0.133809i 0.997759 + 0.0669043i \(0.0213122\pi\)
−0.997759 + 0.0669043i \(0.978688\pi\)
\(450\) 21.0424 + 2.68660i 0.991948 + 0.126648i
\(451\) 26.3811i 1.24224i
\(452\) 3.59114 3.96794i 0.168913 0.186636i
\(453\) −11.1709 + 7.90297i −0.524854 + 0.371314i
\(454\) 2.81190 4.85603i 0.131969 0.227905i
\(455\) −0.384580 + 3.73468i −0.0180294 + 0.175084i
\(456\) 4.19783 + 5.98210i 0.196581 + 0.280137i
\(457\) 24.8353i 1.16174i 0.813995 + 0.580872i \(0.197288\pi\)
−0.813995 + 0.580872i \(0.802712\pi\)
\(458\) 9.86698 + 22.2379i 0.461054 + 1.03911i
\(459\) 0.847955 22.4180i 0.0395791 1.04638i
\(460\) 0.0986279 0.0438592i 0.00459855 0.00204494i
\(461\) −2.65120 + 3.64907i −0.123479 + 0.169954i −0.866281 0.499557i \(-0.833496\pi\)
0.742802 + 0.669511i \(0.233496\pi\)
\(462\) 0.811342 + 8.90687i 0.0377471 + 0.414385i
\(463\) 12.2189 8.87753i 0.567859 0.412574i −0.266468 0.963844i \(-0.585857\pi\)
0.834327 + 0.551270i \(0.185857\pi\)
\(464\) 3.57040 3.18195i 0.165752 0.147718i
\(465\) 14.6510 31.9984i 0.679423 1.48389i
\(466\) 3.46806 16.2141i 0.160655 0.751105i
\(467\) 30.6627 + 9.96291i 1.41890 + 0.461028i 0.915252 0.402881i \(-0.131991\pi\)
0.503647 + 0.863909i \(0.331991\pi\)
\(468\) −15.5046 + 8.38666i −0.716699 + 0.387673i
\(469\) 1.77001 5.44752i 0.0817313 0.251543i
\(470\) 11.0079 + 3.56659i 0.507757 + 0.164515i
\(471\) 10.4270 7.37674i 0.480453 0.339902i
\(472\) −10.3074 + 14.0733i −0.474436 + 0.647774i
\(473\) 12.5931 + 9.14943i 0.579032 + 0.420691i
\(474\) −12.8439 7.65501i −0.589938 0.351606i
\(475\) 1.52001 7.30220i 0.0697430 0.335048i
\(476\) 0.528363 4.90651i 0.0242175 0.224889i
\(477\) −17.4612 0.440194i −0.799495 0.0201551i
\(478\) −26.2444 15.1969i −1.20039 0.695090i
\(479\) −2.77236 8.53244i −0.126672 0.389857i 0.867530 0.497385i \(-0.165706\pi\)
−0.994202 + 0.107528i \(0.965706\pi\)
\(480\) 8.57208 + 20.1623i 0.391260 + 0.920280i
\(481\) 7.50257 23.0905i 0.342088 1.05284i
\(482\) −21.2548 + 19.0889i −0.968131 + 0.869474i
\(483\) 0.0238899 0.000301082i 0.00108703 1.36997e-5i
\(484\) 29.6857 + 51.7216i 1.34935 + 2.35098i
\(485\) −21.4867 9.51232i −0.975660 0.431932i
\(486\) 0.891101 + 22.0274i 0.0404212 + 0.999183i
\(487\) 27.1630 19.7351i 1.23087 0.894282i 0.233919 0.972256i \(-0.424845\pi\)
0.996955 + 0.0779738i \(0.0248451\pi\)
\(488\) 27.9408 + 9.19695i 1.26482 + 0.416327i
\(489\) 29.5869 + 10.0273i 1.33797 + 0.453451i
\(490\) −17.0830 12.3899i −0.771733 0.559719i
\(491\) −8.80114 + 6.39440i −0.397190 + 0.288575i −0.768395 0.639975i \(-0.778945\pi\)
0.371206 + 0.928551i \(0.378945\pi\)
\(492\) 1.71059 14.2014i 0.0771195 0.640248i
\(493\) 5.16206i 0.232488i
\(494\) 2.51371 + 5.66533i 0.113097 + 0.254895i
\(495\) 42.5082 + 5.46311i 1.91060 + 0.245548i
\(496\) 36.1671 3.61470i 1.62395 0.162305i
\(497\) 0.581373 + 1.78928i 0.0260782 + 0.0802603i
\(498\) −1.20764 2.81698i −0.0541156 0.126232i
\(499\) 36.8000i 1.64739i −0.567031 0.823696i \(-0.691908\pi\)
0.567031 0.823696i \(-0.308092\pi\)
\(500\) 9.01794 20.4616i 0.403294 0.915070i
\(501\) −5.05246 16.2436i −0.225727 0.725710i
\(502\) −0.177698 + 0.0184475i −0.00793104 + 0.000823351i
\(503\) −30.1117 + 9.78388i −1.34261 + 0.436242i −0.890201 0.455567i \(-0.849437\pi\)
−0.452413 + 0.891809i \(0.649437\pi\)
\(504\) −0.140777 + 4.84734i −0.00627069 + 0.215918i
\(505\) −14.8179 + 16.5268i −0.659388 + 0.735433i
\(506\) 0.199335 0.0884449i 0.00886152 0.00393186i
\(507\) 7.22531 2.24738i 0.320887 0.0998098i
\(508\) −1.24373 0.557554i −0.0551816 0.0247374i
\(509\) 10.2980 + 14.1740i 0.456452 + 0.628252i 0.973768 0.227542i \(-0.0730689\pi\)
−0.517316 + 0.855794i \(0.673069\pi\)
\(510\) −22.4026 7.57176i −0.992004 0.335283i
\(511\) −2.84998 + 3.92267i −0.126076 + 0.173529i
\(512\) −13.5095 + 18.1520i −0.597041 + 0.802211i
\(513\) 7.74579 + 0.292982i 0.341985 + 0.0129355i
\(514\) −33.2076 + 3.44741i −1.46473 + 0.152059i
\(515\) −5.87593 + 13.2727i −0.258924 + 0.584866i
\(516\) 6.18583 + 5.74186i 0.272316 + 0.252771i
\(517\) 22.2337 + 7.22417i 0.977837 + 0.317718i
\(518\) −4.46291 4.96931i −0.196089 0.218339i
\(519\) 0.273393 21.6929i 0.0120006 0.952213i
\(520\) 3.83187 + 18.1816i 0.168039 + 0.797315i
\(521\) 17.5685 5.70837i 0.769692 0.250088i 0.102259 0.994758i \(-0.467393\pi\)
0.667433 + 0.744670i \(0.267393\pi\)
\(522\) −0.396472 5.05712i −0.0173531 0.221344i
\(523\) −11.3725 8.26263i −0.497286 0.361300i 0.310693 0.950510i \(-0.399439\pi\)
−0.807979 + 0.589211i \(0.799439\pi\)
\(524\) −3.37308 + 31.3233i −0.147354 + 1.36836i
\(525\) 3.70576 3.28080i 0.161733 0.143186i
\(526\) −10.0265 11.1641i −0.437175 0.486780i
\(527\) −23.0598 + 31.7391i −1.00450 + 1.38258i
\(528\) 17.2847 + 40.7490i 0.752220 + 1.77337i
\(529\) 7.10721 + 21.8737i 0.309009 + 0.951032i
\(530\) −5.67497 + 17.5152i −0.246505 + 0.760812i
\(531\) 5.27225 + 17.7353i 0.228796 + 0.769645i
\(532\) 1.69528 + 0.182558i 0.0734996 + 0.00791489i
\(533\) 3.74878 11.5375i 0.162378 0.499747i
\(534\) −36.2527 + 3.30232i −1.56881 + 0.142905i
\(535\) −19.5886 + 21.8477i −0.846889 + 0.944558i
\(536\) 0.108556 28.3475i 0.00468890 1.22442i
\(537\) 10.5846 14.1889i 0.456759 0.612298i
\(538\) 26.7456 + 5.72065i 1.15309 + 0.246635i
\(539\) −34.4927 25.0604i −1.48571 1.07943i
\(540\) 22.5287 + 5.69719i 0.969481 + 0.245168i
\(541\) 12.5133 9.09146i 0.537989 0.390872i −0.285348 0.958424i \(-0.592109\pi\)
0.823338 + 0.567552i \(0.192109\pi\)
\(542\) −13.0879 + 5.80710i −0.562173 + 0.249436i
\(543\) −37.4649 + 11.6532i −1.60777 + 0.500087i
\(544\) −4.92528 23.9213i −0.211169 1.02562i
\(545\) 15.5024 + 1.59637i 0.664050 + 0.0683809i
\(546\) −0.910841 + 4.01064i −0.0389804 + 0.171640i
\(547\) 11.2529 + 34.6330i 0.481140 + 1.48080i 0.837494 + 0.546447i \(0.184020\pi\)
−0.356353 + 0.934351i \(0.615980\pi\)
\(548\) 1.81061 2.00060i 0.0773456 0.0854612i
\(549\) 25.6954 17.6969i 1.09665 0.755284i
\(550\) 18.2536 41.3242i 0.778334 1.76207i
\(551\) −1.78358 −0.0759829
\(552\) 0.113041 0.0346863i 0.00481133 0.00147635i
\(553\) −3.31781 + 1.07802i −0.141088 + 0.0458421i
\(554\) −1.18713 + 2.05012i −0.0504363 + 0.0871012i
\(555\) −27.8846 + 15.7113i −1.18364 + 0.666907i
\(556\) −10.6119 + 23.6720i −0.450047 + 1.00392i
\(557\) 20.0422 0.849217 0.424609 0.905377i \(-0.360412\pi\)
0.424609 + 0.905377i \(0.360412\pi\)
\(558\) 20.1533 32.8650i 0.853157 1.39129i
\(559\) 4.20735 + 5.79093i 0.177952 + 0.244930i
\(560\) 4.85675 + 1.59418i 0.205235 + 0.0673663i
\(561\) −45.2481 15.3350i −1.91038 0.647446i
\(562\) 9.72955 + 2.08106i 0.410416 + 0.0877844i
\(563\) −24.7307 34.0389i −1.04227 1.43457i −0.895320 0.445424i \(-0.853053\pi\)
−0.146954 0.989143i \(-0.546947\pi\)
\(564\) 11.5004 + 5.33057i 0.484253 + 0.224457i
\(565\) −5.95192 0.612902i −0.250399 0.0257850i
\(566\) 0.0604308 0.282531i 0.00254010 0.0118756i
\(567\) 4.00359 + 3.22913i 0.168135 + 0.135611i
\(568\) 5.44400 + 7.55369i 0.228425 + 0.316946i
\(569\) −15.1642 4.92713i −0.635715 0.206556i −0.0266098 0.999646i \(-0.508471\pi\)
−0.609105 + 0.793090i \(0.708471\pi\)
\(570\) 2.61617 7.74046i 0.109579 0.324212i
\(571\) −16.0674 + 5.22061i −0.672399 + 0.218476i −0.625265 0.780413i \(-0.715009\pi\)
−0.0471346 + 0.998889i \(0.515009\pi\)
\(572\) 7.71121 + 36.7393i 0.322422 + 1.53615i
\(573\) 19.4143 + 6.57969i 0.811042 + 0.274871i
\(574\) −2.22996 2.48299i −0.0930769 0.103638i
\(575\) −0.104766 0.0598997i −0.00436904 0.00249799i
\(576\) 6.66242 + 23.0567i 0.277601 + 0.960696i
\(577\) 5.49519 7.56348i 0.228768 0.314872i −0.679167 0.733984i \(-0.737659\pi\)
0.907934 + 0.419112i \(0.137659\pi\)
\(578\) 2.00742 + 1.16241i 0.0834979 + 0.0483497i
\(579\) −1.14090 + 0.807142i −0.0474141 + 0.0335437i
\(580\) −5.22968 1.11405i −0.217151 0.0462583i
\(581\) −0.680096 0.220977i −0.0282151 0.00916765i
\(582\) −22.1115 13.1786i −0.916551 0.546270i
\(583\) −11.4947 + 35.3771i −0.476062 + 1.46517i
\(584\) −7.50268 + 22.7935i −0.310463 + 0.943202i
\(585\) 17.8143 + 8.42971i 0.736531 + 0.348526i
\(586\) −18.1592 + 1.88518i −0.750151 + 0.0778760i
\(587\) 20.7312 + 28.5341i 0.855669 + 1.17773i 0.982585 + 0.185814i \(0.0594923\pi\)
−0.126916 + 0.991914i \(0.540508\pi\)
\(588\) −16.9431 15.7270i −0.698721 0.648573i
\(589\) −10.9664 7.96755i −0.451862 0.328297i
\(590\) 19.5032 0.0161774i 0.802932 0.000666011i
\(591\) 19.0811 25.5787i 0.784892 1.05217i
\(592\) −28.5425 16.6739i −1.17309 0.685293i
\(593\) −12.8806 −0.528943 −0.264471 0.964394i \(-0.585197\pi\)
−0.264471 + 0.964394i \(0.585197\pi\)
\(594\) 45.5060 + 11.5480i 1.86713 + 0.473820i
\(595\) −4.77235 + 2.76873i −0.195647 + 0.113507i
\(596\) 6.25873 + 29.8191i 0.256367 + 1.22144i
\(597\) 15.6464 11.0692i 0.640365 0.453034i
\(598\) 0.0997457 0.0103550i 0.00407891 0.000423447i
\(599\) 36.9742 1.51073 0.755363 0.655307i \(-0.227461\pi\)
0.755363 + 0.655307i \(0.227461\pi\)
\(600\) 12.5057 21.0620i 0.510545 0.859851i
\(601\) 27.0515 1.10345 0.551727 0.834025i \(-0.313969\pi\)
0.551727 + 0.834025i \(0.313969\pi\)
\(602\) 1.95866 0.203336i 0.0798290 0.00828735i
\(603\) −23.8718 18.2805i −0.972135 0.744440i
\(604\) 3.24567 + 15.4637i 0.132065 + 0.629210i
\(605\) 26.9905 60.9669i 1.09732 2.47866i
\(606\) −18.2940 + 16.0179i −0.743145 + 0.650684i
\(607\) 14.4568 0.586784 0.293392 0.955992i \(-0.405216\pi\)
0.293392 + 0.955992i \(0.405216\pi\)
\(608\) 8.26521 1.70176i 0.335198 0.0690156i
\(609\) −0.948650 0.707670i −0.0384412 0.0286762i
\(610\) −10.1887 31.2695i −0.412530 1.26606i
\(611\) 8.69717 + 6.31886i 0.351850 + 0.255634i
\(612\) −23.3635 11.1891i −0.944414 0.452292i
\(613\) −22.5580 31.0485i −0.911111 1.25404i −0.966786 0.255587i \(-0.917731\pi\)
0.0556752 0.998449i \(-0.482269\pi\)
\(614\) −23.7506 + 2.46564i −0.958495 + 0.0995051i
\(615\) −13.9330 + 7.85040i −0.561833 + 0.316559i
\(616\) 9.80960 + 3.22891i 0.395240 + 0.130097i
\(617\) −3.55803 + 10.9505i −0.143241 + 0.440851i −0.996781 0.0801774i \(-0.974451\pi\)
0.853540 + 0.521028i \(0.174451\pi\)
\(618\) −8.14065 + 13.6587i −0.327465 + 0.549433i
\(619\) −15.0405 4.88696i −0.604529 0.196423i −0.00926970 0.999957i \(-0.502951\pi\)
−0.595259 + 0.803534i \(0.702951\pi\)
\(620\) −27.1783 30.2117i −1.09151 1.21333i
\(621\) 0.0432361 0.117727i 0.00173501 0.00472422i
\(622\) −14.5054 8.39942i −0.581615 0.336786i
\(623\) −4.99226 + 6.87126i −0.200011 + 0.275291i
\(624\) 1.76884 + 20.2774i 0.0708102 + 0.811748i
\(625\) −24.4090 + 5.40360i −0.976362 + 0.216144i
\(626\) 19.2843 + 21.4725i 0.770757 + 0.858213i
\(627\) 5.29851 15.6339i 0.211602 0.624360i
\(628\) −3.02955 14.4340i −0.120892 0.575981i
\(629\) 33.9329 11.0255i 1.35299 0.439614i
\(630\) 4.46267 3.07899i 0.177797 0.122670i
\(631\) −44.0511 14.3131i −1.75365 0.569794i −0.757136 0.653258i \(-0.773402\pi\)
−0.996511 + 0.0834632i \(0.973402\pi\)
\(632\) −14.0066 + 10.0946i −0.557151 + 0.401543i
\(633\) −40.2437 0.507187i −1.59955 0.0201589i
\(634\) 5.38803 25.1905i 0.213986 1.00044i
\(635\) 0.319968 + 1.48989i 0.0126975 + 0.0591247i
\(636\) −8.48172 + 18.2988i −0.336322 + 0.725594i
\(637\) −11.5240 15.8614i −0.456598 0.628453i
\(638\) −10.5639 2.25951i −0.418227 0.0894550i
\(639\) 9.87270 + 0.248889i 0.390558 + 0.00984588i
\(640\) 25.2976 + 0.172771i 0.999977 + 0.00682939i
\(641\) −10.1925 14.0288i −0.402580 0.554103i 0.558809 0.829296i \(-0.311258\pi\)
−0.961389 + 0.275193i \(0.911258\pi\)
\(642\) −24.1839 + 21.1750i −0.954463 + 0.835710i
\(643\) 21.5302 0.849067 0.424534 0.905412i \(-0.360438\pi\)
0.424534 + 0.905412i \(0.360438\pi\)
\(644\) 0.0112853 0.0251740i 0.000444703 0.000991996i
\(645\) 1.08480 9.37364i 0.0427139 0.369087i
\(646\) −4.56420 + 7.88217i −0.179576 + 0.310120i
\(647\) −46.1953 + 15.0098i −1.81613 + 0.590095i −0.816202 + 0.577766i \(0.803925\pi\)
−0.999924 + 0.0123293i \(0.996075\pi\)
\(648\) 23.7479 + 9.16718i 0.932906 + 0.360121i
\(649\) 39.4030 1.54670
\(650\) 13.8553 15.4790i 0.543448 0.607135i
\(651\) −2.67152 8.58892i −0.104705 0.336626i
\(652\) 24.2058 26.7456i 0.947970 1.04744i
\(653\) 5.26384 + 16.2004i 0.205990 + 0.633972i 0.999671 + 0.0256382i \(0.00816180\pi\)
−0.793681 + 0.608334i \(0.791838\pi\)
\(654\) 16.6479 + 3.78084i 0.650985 + 0.147843i
\(655\) 30.4668 17.6757i 1.19044 0.690646i
\(656\) −14.2617 8.33137i −0.556826 0.325285i
\(657\) 14.4367 + 20.9617i 0.563231 + 0.817795i
\(658\) 2.70329 1.19945i 0.105385 0.0467595i
\(659\) 2.94376 2.13876i 0.114672 0.0833144i −0.528971 0.848640i \(-0.677422\pi\)
0.643643 + 0.765325i \(0.277422\pi\)
\(660\) 25.3011 42.5313i 0.984844 1.65553i
\(661\) −1.35816 0.986760i −0.0528262 0.0383805i 0.561059 0.827776i \(-0.310394\pi\)
−0.613885 + 0.789395i \(0.710394\pi\)
\(662\) 19.6912 + 4.21178i 0.765321 + 0.163695i
\(663\) −17.6098 13.1365i −0.683907 0.510178i
\(664\) −3.53904 0.0135527i −0.137341 0.000525946i
\(665\) −0.956643 1.64892i −0.0370970 0.0639425i
\(666\) −32.3962 + 13.4075i −1.25533 + 0.519531i
\(667\) −0.00891760 + 0.0274455i −0.000345291 + 0.00106270i
\(668\) −19.5300 2.10310i −0.755637 0.0813716i
\(669\) −0.108303 + 8.59349i −0.00418722 + 0.332243i
\(670\) −25.6253 + 18.6503i −0.989990 + 0.720526i
\(671\) −20.5323 63.1919i −0.792640 2.43950i
\(672\) 5.07131 + 2.37425i 0.195630 + 0.0915888i
\(673\) −5.49326 + 7.56082i −0.211749 + 0.291448i −0.901659 0.432447i \(-0.857650\pi\)
0.689910 + 0.723895i \(0.257650\pi\)
\(674\) −16.3754 18.2335i −0.630757 0.702328i
\(675\) −9.76416 24.0762i −0.375823 0.926692i
\(676\) 0.935482 8.68712i 0.0359801 0.334120i
\(677\) −32.2423 23.4254i −1.23917 0.900312i −0.241630 0.970368i \(-0.577682\pi\)
−0.997543 + 0.0700565i \(0.977682\pi\)
\(678\) −6.39172 1.45160i −0.245473 0.0557483i
\(679\) −5.71182 + 1.85588i −0.219199 + 0.0712222i
\(680\) −18.3061 + 20.2607i −0.702008 + 0.776962i
\(681\) −6.87199 0.0866069i −0.263335 0.00331878i
\(682\) −54.8586 61.0833i −2.10064 2.33900i
\(683\) 48.0114 + 15.5999i 1.83711 + 0.596912i 0.998650 + 0.0519431i \(0.0165415\pi\)
0.838456 + 0.544969i \(0.183459\pi\)
\(684\) 3.86601 8.07247i 0.147821 0.308659i
\(685\) −3.00090 0.309019i −0.114658 0.0118070i
\(686\) −10.9922 + 1.14114i −0.419683 + 0.0435689i
\(687\) 17.8163 23.8832i 0.679733 0.911200i
\(688\) 8.92323 3.91841i 0.340195 0.149388i
\(689\) −10.0542 + 13.8385i −0.383036 + 0.527204i
\(690\) −0.106029 0.0789584i −0.00403646 0.00300590i
\(691\) −8.48987 11.6853i −0.322970 0.444530i 0.616401 0.787432i \(-0.288590\pi\)
−0.939371 + 0.342902i \(0.888590\pi\)
\(692\) −22.8590 10.2475i −0.868967 0.389550i
\(693\) 9.02126 6.21311i 0.342689 0.236016i
\(694\) 9.73695 4.32028i 0.369610 0.163996i
\(695\) 28.3572 6.08996i 1.07565 0.231005i
\(696\) −5.54020 1.90132i −0.210001 0.0720692i
\(697\) 16.9551 5.50905i 0.642221 0.208670i
\(698\) 42.1824 4.37911i 1.59663 0.165752i
\(699\) −19.3910 + 6.03143i −0.733434 + 0.228130i
\(700\) −1.77506 5.43240i −0.0670910 0.205325i
\(701\) 43.4844i 1.64238i −0.570654 0.821191i \(-0.693310\pi\)
0.570654 0.821191i \(-0.306690\pi\)
\(702\) 18.2607 + 11.5169i 0.689206 + 0.434676i
\(703\) 3.80948 + 11.7244i 0.143677 + 0.442193i
\(704\) 51.1094 + 0.391450i 1.92626 + 0.0147533i
\(705\) −2.80084 13.8923i −0.105486 0.523216i
\(706\) 10.6104 + 23.9135i 0.399328 + 0.899996i
\(707\) 5.67320i 0.213363i
\(708\) 21.2113 + 2.55496i 0.797170 + 0.0960211i
\(709\) −9.97446 + 7.24687i −0.374599 + 0.272162i −0.759115 0.650956i \(-0.774368\pi\)
0.384517 + 0.923118i \(0.374368\pi\)
\(710\) 3.20867 9.90321i 0.120419 0.371661i
\(711\) −0.461506 + 18.3066i −0.0173078 + 0.686552i
\(712\) −13.1423 + 39.9269i −0.492529 + 1.49633i
\(713\) −0.177434 + 0.128913i −0.00664496 + 0.00482785i
\(714\) −5.55502 + 2.38144i −0.207891 + 0.0891230i
\(715\) 28.0182 31.2495i 1.04782 1.16866i
\(716\) −10.1750 17.7280i −0.380258 0.662527i
\(717\) −0.468066 + 37.1396i −0.0174803 + 1.38700i
\(718\) 13.9925 12.5666i 0.522196 0.468982i
\(719\) −14.0336 + 43.1910i −0.523365 + 1.61075i 0.244162 + 0.969735i \(0.421487\pi\)
−0.767527 + 0.641017i \(0.778513\pi\)
\(720\) 16.3778 21.2548i 0.610366 0.792119i
\(721\) 1.14641 + 3.52829i 0.0426946 + 0.131401i
\(722\) 20.5296 + 11.8877i 0.764031 + 0.442415i
\(723\) 33.1376 + 11.2307i 1.23240 + 0.417674i
\(724\) −4.85069 + 45.0447i −0.180274 + 1.67407i
\(725\) 2.45452 + 5.45103i 0.0911584 + 0.202446i
\(726\) 37.3933 62.7398i 1.38779 2.32849i
\(727\) −3.07375 2.23321i −0.113999 0.0828251i 0.529325 0.848419i \(-0.322445\pi\)
−0.643324 + 0.765594i \(0.722445\pi\)
\(728\) 3.83132 + 2.80609i 0.141998 + 0.104001i
\(729\) 22.9799 14.1748i 0.851107 0.524992i
\(730\) 25.5090 8.31177i 0.944129 0.307632i
\(731\) −3.25057 + 10.0042i −0.120227 + 0.370020i
\(732\) −6.95543 35.3487i −0.257080 1.30652i
\(733\) −25.6744 8.34213i −0.948307 0.308124i −0.206280 0.978493i \(-0.566136\pi\)
−0.742028 + 0.670369i \(0.766136\pi\)
\(734\) −1.87262 + 8.75503i −0.0691197 + 0.323154i
\(735\) −2.97128 + 25.6745i −0.109597 + 0.947020i
\(736\) 0.0151381 0.135693i 0.000557999 0.00500171i
\(737\) −51.8029 + 37.6370i −1.90818 + 1.38638i
\(738\) −16.1873 + 6.69929i −0.595862 + 0.246604i
\(739\) −1.81401 + 2.49677i −0.0667293 + 0.0918451i −0.841077 0.540915i \(-0.818078\pi\)
0.774348 + 0.632760i \(0.218078\pi\)
\(740\) 3.84669 + 36.7569i 0.141407 + 1.35121i
\(741\) 4.53886 6.08446i 0.166739 0.223518i
\(742\) 1.90850 + 4.30134i 0.0700633 + 0.157907i
\(743\) 22.1453i 0.812431i −0.913777 0.406216i \(-0.866848\pi\)
0.913777 0.406216i \(-0.133152\pi\)
\(744\) −25.5706 36.4393i −0.937465 1.33593i
\(745\) 22.7407 25.3633i 0.833156 0.929241i
\(746\) −9.97854 + 17.2325i −0.365340 + 0.630926i
\(747\) −2.28223 + 2.98028i −0.0835025 + 0.109043i
\(748\) −37.0185 + 40.9027i −1.35353 + 1.49555i
\(749\) 7.49972i 0.274034i
\(750\) −27.2570 + 2.65662i −0.995284 + 0.0970061i
\(751\) 22.3396i 0.815184i 0.913164 + 0.407592i \(0.133631\pi\)
−0.913164 + 0.407592i \(0.866369\pi\)
\(752\) 10.9270 9.73816i 0.398467 0.355114i
\(753\) 0.126369 + 0.178623i 0.00460514 + 0.00650938i
\(754\) −4.29894 2.48931i −0.156558 0.0906555i
\(755\) 11.7930 13.1530i 0.429190 0.478687i
\(756\) 5.25918 2.75967i 0.191274 0.100368i
\(757\) 10.8498i 0.394342i 0.980369 + 0.197171i \(0.0631754\pi\)
−0.980369 + 0.197171i \(0.936825\pi\)
\(758\) −6.82826 + 3.02970i −0.248013 + 0.110044i
\(759\) −0.214082 0.159700i −0.00777070 0.00579675i
\(760\) −7.00040 6.32507i −0.253931 0.229434i
\(761\) 1.55633 2.14210i 0.0564168 0.0776511i −0.779876 0.625934i \(-0.784718\pi\)
0.836293 + 0.548282i \(0.184718\pi\)
\(762\) 0.151434 + 1.66243i 0.00548586 + 0.0602234i
\(763\) 3.22242 2.34123i 0.116659 0.0847581i
\(764\) 15.8833 17.5498i 0.574636 0.634931i
\(765\) 5.36568 + 28.4609i 0.193996 + 1.02901i
\(766\) 24.4511 + 5.22987i 0.883454 + 0.188963i
\(767\) 17.2326 + 5.59920i 0.622232 + 0.202175i
\(768\) 27.4877 + 3.52475i 0.991879 + 0.127188i
\(769\) −5.95384 + 18.3240i −0.214701 + 0.660782i 0.784474 + 0.620162i \(0.212933\pi\)
−0.999175 + 0.0406197i \(0.987067\pi\)
\(770\) −3.57712 10.9782i −0.128910 0.395628i
\(771\) 23.6154 + 33.3805i 0.850489 + 1.20217i
\(772\) 0.331485 + 1.57933i 0.0119304 + 0.0568414i
\(773\) 2.64725 + 1.92334i 0.0952150 + 0.0691777i 0.634374 0.773026i \(-0.281258\pi\)
−0.539159 + 0.842204i \(0.681258\pi\)
\(774\) 2.41611