Properties

Label 300.2.n.a.11.9
Level $300$
Weight $2$
Character 300.11
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.n (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 11.9
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24841 + 0.664442i) q^{2} +(1.66858 + 0.464581i) q^{3} +(1.11703 - 1.65899i) q^{4} +(0.345709 - 2.20918i) q^{5} +(-2.39175 + 0.528689i) q^{6} -0.309856i q^{7} +(-0.292213 + 2.81329i) q^{8} +(2.56833 + 1.55038i) q^{9} +O(q^{10})\) \(q+(-1.24841 + 0.664442i) q^{2} +(1.66858 + 0.464581i) q^{3} +(1.11703 - 1.65899i) q^{4} +(0.345709 - 2.20918i) q^{5} +(-2.39175 + 0.528689i) q^{6} -0.309856i q^{7} +(-0.292213 + 2.81329i) q^{8} +(2.56833 + 1.55038i) q^{9} +(1.03629 + 2.98766i) q^{10} +(1.53656 - 1.11637i) q^{11} +(2.63460 - 2.24920i) q^{12} +(-3.79520 - 2.75737i) q^{13} +(0.205881 + 0.386826i) q^{14} +(1.60319 - 3.52559i) q^{15} +(-1.50447 - 3.70629i) q^{16} +(4.30413 - 1.39850i) q^{17} +(-4.23646 - 0.229003i) q^{18} +(5.24788 - 1.70514i) q^{19} +(-3.27883 - 3.04126i) q^{20} +(0.143953 - 0.517020i) q^{21} +(-1.17648 + 2.41464i) q^{22} +(-5.20321 + 3.78035i) q^{23} +(-1.79458 + 4.55845i) q^{24} +(-4.76097 - 1.52747i) q^{25} +(6.57006 + 0.920633i) q^{26} +(3.56519 + 3.78014i) q^{27} +(-0.514046 - 0.346120i) q^{28} +(6.49757 + 2.11119i) q^{29} +(0.341119 + 5.46659i) q^{30} +(-5.73466 + 1.86330i) q^{31} +(4.34080 + 3.62732i) q^{32} +(3.08252 - 1.14891i) q^{33} +(-4.44408 + 4.60574i) q^{34} +(-0.684528 - 0.107120i) q^{35} +(5.44098 - 2.52899i) q^{36} +(3.24583 + 2.35823i) q^{37} +(-5.41852 + 5.61562i) q^{38} +(-5.05158 - 6.36408i) q^{39} +(6.11405 + 1.61813i) q^{40} +(0.902077 - 1.24160i) q^{41} +(0.163817 + 0.741099i) q^{42} +3.75970i q^{43} +(-0.135662 - 3.79616i) q^{44} +(4.31297 - 5.13792i) q^{45} +(3.98389 - 8.17664i) q^{46} +(-2.19448 + 6.75392i) q^{47} +(-0.788456 - 6.88319i) q^{48} +6.90399 q^{49} +(6.95854 - 1.25649i) q^{50} +(7.83151 - 0.333888i) q^{51} +(-8.81381 + 3.21610i) q^{52} +(-0.721525 - 0.234438i) q^{53} +(-6.96248 - 2.35029i) q^{54} +(-1.93507 - 3.78048i) q^{55} +(0.871715 + 0.0905438i) q^{56} +(9.54870 - 0.407098i) q^{57} +(-9.51436 + 1.68164i) q^{58} +(-11.0576 - 8.03382i) q^{59} +(-4.05809 - 6.59787i) q^{60} +(-7.66779 + 5.57097i) q^{61} +(5.92112 - 6.13650i) q^{62} +(0.480395 - 0.795812i) q^{63} +(-7.82922 - 1.64416i) q^{64} +(-7.40358 + 7.43104i) q^{65} +(-3.08485 + 3.48246i) q^{66} +(-6.37132 + 2.07017i) q^{67} +(2.48778 - 8.70266i) q^{68} +(-10.4383 + 3.89051i) q^{69} +(0.925744 - 0.321100i) q^{70} +(-0.750346 + 2.30933i) q^{71} +(-5.11218 + 6.77242i) q^{72} +(-7.60274 + 5.52372i) q^{73} +(-5.61902 - 0.787367i) q^{74} +(-7.23443 - 4.76056i) q^{75} +(3.03326 - 10.6109i) q^{76} +(-0.345915 - 0.476111i) q^{77} +(10.5350 + 4.58848i) q^{78} +(1.81171 + 0.588659i) q^{79} +(-8.70797 + 2.04235i) q^{80} +(4.19262 + 7.96379i) q^{81} +(-0.301186 + 2.14940i) q^{82} +(0.792743 + 2.43981i) q^{83} +(-0.696928 - 0.816345i) q^{84} +(-1.60156 - 9.99208i) q^{85} +(-2.49810 - 4.69363i) q^{86} +(9.86090 + 6.54134i) q^{87} +(2.69169 + 4.64900i) q^{88} +(-5.28769 - 7.27788i) q^{89} +(-1.97049 + 9.27993i) q^{90} +(-0.854388 + 1.17596i) q^{91} +(0.459388 + 12.8548i) q^{92} +(-10.4344 + 0.444859i) q^{93} +(-1.74798 - 9.88974i) q^{94} +(-1.95272 - 12.1830i) q^{95} +(5.55779 + 8.06913i) q^{96} +(3.88035 - 11.9425i) q^{97} +(-8.61898 + 4.58730i) q^{98} +(5.67719 - 0.484963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24841 + 0.664442i −0.882756 + 0.469831i
\(3\) 1.66858 + 0.464581i 0.963356 + 0.268226i
\(4\) 1.11703 1.65899i 0.558517 0.829493i
\(5\) 0.345709 2.20918i 0.154606 0.987976i
\(6\) −2.39175 + 0.528689i −0.976430 + 0.215836i
\(7\) 0.309856i 0.117114i −0.998284 0.0585572i \(-0.981350\pi\)
0.998284 0.0585572i \(-0.0186500\pi\)
\(8\) −0.292213 + 2.81329i −0.103313 + 0.994649i
\(9\) 2.56833 + 1.55038i 0.856110 + 0.516794i
\(10\) 1.03629 + 2.98766i 0.327703 + 0.944781i
\(11\) 1.53656 1.11637i 0.463290 0.336600i −0.331531 0.943444i \(-0.607565\pi\)
0.794820 + 0.606845i \(0.207565\pi\)
\(12\) 2.63460 2.24920i 0.760543 0.649288i
\(13\) −3.79520 2.75737i −1.05260 0.764758i −0.0798941 0.996803i \(-0.525458\pi\)
−0.972705 + 0.232045i \(0.925458\pi\)
\(14\) 0.205881 + 0.386826i 0.0550240 + 0.103384i
\(15\) 1.60319 3.52559i 0.413941 0.910303i
\(16\) −1.50447 3.70629i −0.376117 0.926572i
\(17\) 4.30413 1.39850i 1.04391 0.339185i 0.263631 0.964623i \(-0.415080\pi\)
0.780274 + 0.625438i \(0.215080\pi\)
\(18\) −4.23646 0.229003i −0.998542 0.0539765i
\(19\) 5.24788 1.70514i 1.20395 0.391186i 0.362735 0.931892i \(-0.381843\pi\)
0.841212 + 0.540706i \(0.181843\pi\)
\(20\) −3.27883 3.04126i −0.733169 0.680046i
\(21\) 0.143953 0.517020i 0.0314132 0.112823i
\(22\) −1.17648 + 2.41464i −0.250827 + 0.514803i
\(23\) −5.20321 + 3.78035i −1.08494 + 0.788257i −0.978538 0.206065i \(-0.933934\pi\)
−0.106405 + 0.994323i \(0.533934\pi\)
\(24\) −1.79458 + 4.55845i −0.366318 + 0.930490i
\(25\) −4.76097 1.52747i −0.952194 0.305494i
\(26\) 6.57006 + 0.920633i 1.28850 + 0.180551i
\(27\) 3.56519 + 3.78014i 0.686120 + 0.727488i
\(28\) −0.514046 0.346120i −0.0971456 0.0654105i
\(29\) 6.49757 + 2.11119i 1.20657 + 0.392038i 0.842173 0.539207i \(-0.181276\pi\)
0.364395 + 0.931245i \(0.381276\pi\)
\(30\) 0.341119 + 5.46659i 0.0622796 + 0.998059i
\(31\) −5.73466 + 1.86330i −1.02997 + 0.334659i −0.774780 0.632231i \(-0.782140\pi\)
−0.255195 + 0.966890i \(0.582140\pi\)
\(32\) 4.34080 + 3.62732i 0.767352 + 0.641226i
\(33\) 3.08252 1.14891i 0.536598 0.199999i
\(34\) −4.44408 + 4.60574i −0.762154 + 0.789877i
\(35\) −0.684528 0.107120i −0.115706 0.0181066i
\(36\) 5.44098 2.52899i 0.906829 0.421498i
\(37\) 3.24583 + 2.35823i 0.533611 + 0.387691i 0.821707 0.569911i \(-0.193022\pi\)
−0.288096 + 0.957602i \(0.593022\pi\)
\(38\) −5.41852 + 5.61562i −0.879000 + 0.910974i
\(39\) −5.05158 6.36408i −0.808900 1.01907i
\(40\) 6.11405 + 1.61813i 0.966717 + 0.255849i
\(41\) 0.902077 1.24160i 0.140881 0.193906i −0.732746 0.680502i \(-0.761762\pi\)
0.873627 + 0.486596i \(0.161762\pi\)
\(42\) 0.163817 + 0.741099i 0.0252776 + 0.114354i
\(43\) 3.75970i 0.573349i 0.958028 + 0.286674i \(0.0925498\pi\)
−0.958028 + 0.286674i \(0.907450\pi\)
\(44\) −0.135662 3.79616i −0.0204518 0.572292i
\(45\) 4.31297 5.13792i 0.642940 0.765916i
\(46\) 3.98389 8.17664i 0.587393 1.20558i
\(47\) −2.19448 + 6.75392i −0.320098 + 0.985161i 0.653507 + 0.756921i \(0.273297\pi\)
−0.973605 + 0.228240i \(0.926703\pi\)
\(48\) −0.788456 6.88319i −0.113804 0.993503i
\(49\) 6.90399 0.986284
\(50\) 6.95854 1.25649i 0.984086 0.177694i
\(51\) 7.83151 0.333888i 1.09663 0.0467536i
\(52\) −8.81381 + 3.21610i −1.22226 + 0.445993i
\(53\) −0.721525 0.234438i −0.0991091 0.0322025i 0.259043 0.965866i \(-0.416593\pi\)
−0.358152 + 0.933663i \(0.616593\pi\)
\(54\) −6.96248 2.35029i −0.947474 0.319834i
\(55\) −1.93507 3.78048i −0.260925 0.509759i
\(56\) 0.871715 + 0.0905438i 0.116488 + 0.0120994i
\(57\) 9.54870 0.407098i 1.26476 0.0539215i
\(58\) −9.51436 + 1.68164i −1.24930 + 0.220810i
\(59\) −11.0576 8.03382i −1.43958 1.04591i −0.988131 0.153617i \(-0.950908\pi\)
−0.451447 0.892298i \(-0.649092\pi\)
\(60\) −4.05809 6.59787i −0.523897 0.851782i
\(61\) −7.66779 + 5.57097i −0.981760 + 0.713290i −0.958101 0.286430i \(-0.907531\pi\)
−0.0236585 + 0.999720i \(0.507531\pi\)
\(62\) 5.92112 6.13650i 0.751984 0.779337i
\(63\) 0.480395 0.795812i 0.0605241 0.100263i
\(64\) −7.82922 1.64416i −0.978653 0.205520i
\(65\) −7.40358 + 7.43104i −0.918301 + 0.921707i
\(66\) −3.08485 + 3.48246i −0.379719 + 0.428661i
\(67\) −6.37132 + 2.07017i −0.778380 + 0.252911i −0.671149 0.741323i \(-0.734199\pi\)
−0.107232 + 0.994234i \(0.534199\pi\)
\(68\) 2.48778 8.70266i 0.301687 1.05535i
\(69\) −10.4383 + 3.89051i −1.25662 + 0.468362i
\(70\) 0.925744 0.321100i 0.110648 0.0383787i
\(71\) −0.750346 + 2.30933i −0.0890497 + 0.274067i −0.985657 0.168759i \(-0.946024\pi\)
0.896608 + 0.442826i \(0.146024\pi\)
\(72\) −5.11218 + 6.77242i −0.602476 + 0.798137i
\(73\) −7.60274 + 5.52372i −0.889834 + 0.646502i −0.935835 0.352439i \(-0.885352\pi\)
0.0460010 + 0.998941i \(0.485352\pi\)
\(74\) −5.61902 0.787367i −0.653198 0.0915296i
\(75\) −7.23443 4.76056i −0.835360 0.549703i
\(76\) 3.03326 10.6109i 0.347939 1.21715i
\(77\) −0.345915 0.476111i −0.0394207 0.0542579i
\(78\) 10.5350 + 4.58848i 1.19285 + 0.519543i
\(79\) 1.81171 + 0.588659i 0.203833 + 0.0662293i 0.409154 0.912465i \(-0.365824\pi\)
−0.205321 + 0.978695i \(0.565824\pi\)
\(80\) −8.70797 + 2.04235i −0.973581 + 0.228341i
\(81\) 4.19262 + 7.96379i 0.465847 + 0.884865i
\(82\) −0.301186 + 2.14940i −0.0332604 + 0.237362i
\(83\) 0.792743 + 2.43981i 0.0870149 + 0.267804i 0.985091 0.172037i \(-0.0550348\pi\)
−0.898076 + 0.439841i \(0.855035\pi\)
\(84\) −0.696928 0.816345i −0.0760410 0.0890706i
\(85\) −1.60156 9.99208i −0.173713 1.08379i
\(86\) −2.49810 4.69363i −0.269377 0.506127i
\(87\) 9.86090 + 6.54134i 1.05720 + 0.701305i
\(88\) 2.69169 + 4.64900i 0.286935 + 0.495586i
\(89\) −5.28769 7.27788i −0.560494 0.771454i 0.430895 0.902402i \(-0.358198\pi\)
−0.991389 + 0.130948i \(0.958198\pi\)
\(90\) −1.97049 + 9.27993i −0.207708 + 0.978191i
\(91\) −0.854388 + 1.17596i −0.0895642 + 0.123275i
\(92\) 0.459388 + 12.8548i 0.0478945 + 1.34021i
\(93\) −10.4344 + 0.444859i −1.08200 + 0.0461297i
\(94\) −1.74798 9.88974i −0.180291 1.02005i
\(95\) −1.95272 12.1830i −0.200345 1.24995i
\(96\) 5.55779 + 8.06913i 0.567240 + 0.823553i
\(97\) 3.88035 11.9425i 0.393990 1.21258i −0.535755 0.844374i \(-0.679973\pi\)
0.929745 0.368204i \(-0.120027\pi\)
\(98\) −8.61898 + 4.58730i −0.870649 + 0.463387i
\(99\) 5.67719 0.484963i 0.570579 0.0487406i
\(100\) −7.85222 + 6.19215i −0.785222 + 0.619215i
\(101\) 8.75109i 0.870766i −0.900245 0.435383i \(-0.856613\pi\)
0.900245 0.435383i \(-0.143387\pi\)
\(102\) −9.55505 + 5.62041i −0.946091 + 0.556503i
\(103\) 4.44126 + 1.44305i 0.437610 + 0.142188i 0.519533 0.854451i \(-0.326106\pi\)
−0.0819226 + 0.996639i \(0.526106\pi\)
\(104\) 8.86630 9.87127i 0.869413 0.967957i
\(105\) −1.09242 0.496757i −0.106610 0.0484785i
\(106\) 1.05653 0.186738i 0.102619 0.0181376i
\(107\) 0.307528 0.0297299 0.0148649 0.999890i \(-0.495268\pi\)
0.0148649 + 0.999890i \(0.495268\pi\)
\(108\) 10.2536 1.69205i 0.986656 0.162818i
\(109\) 7.14020 + 5.18766i 0.683908 + 0.496888i 0.874652 0.484752i \(-0.161090\pi\)
−0.190744 + 0.981640i \(0.561090\pi\)
\(110\) 4.92766 + 3.43383i 0.469834 + 0.327403i
\(111\) 4.32034 + 5.44285i 0.410068 + 0.516613i
\(112\) −1.14842 + 0.466168i −0.108515 + 0.0440488i
\(113\) −5.33456 + 7.34239i −0.501833 + 0.690714i −0.982516 0.186181i \(-0.940389\pi\)
0.480682 + 0.876895i \(0.340389\pi\)
\(114\) −11.6502 + 6.85278i −1.09114 + 0.641821i
\(115\) 6.55269 + 12.8017i 0.611041 + 1.19377i
\(116\) 10.7604 8.42110i 0.999081 0.781880i
\(117\) −5.47233 12.9659i −0.505917 1.19869i
\(118\) 19.1424 + 2.68233i 1.76220 + 0.246929i
\(119\) −0.433332 1.33366i −0.0397235 0.122256i
\(120\) 9.45004 + 5.54046i 0.862667 + 0.505772i
\(121\) −2.28447 + 7.03087i −0.207679 + 0.639170i
\(122\) 5.87092 12.0496i 0.531528 1.09092i
\(123\) 2.08201 1.65263i 0.187729 0.149012i
\(124\) −3.31462 + 11.5951i −0.297661 + 1.04127i
\(125\) −5.02037 + 9.98979i −0.449035 + 0.893514i
\(126\) −0.0709579 + 1.31269i −0.00632143 + 0.116944i
\(127\) −8.06366 11.0987i −0.715534 0.984848i −0.999660 0.0260609i \(-0.991704\pi\)
0.284127 0.958787i \(-0.408296\pi\)
\(128\) 10.8665 3.14948i 0.960472 0.278378i
\(129\) −1.74669 + 6.27337i −0.153787 + 0.552339i
\(130\) 4.30518 14.1962i 0.377589 1.24509i
\(131\) −0.458670 1.41164i −0.0400742 0.123336i 0.929018 0.370035i \(-0.120654\pi\)
−0.969092 + 0.246699i \(0.920654\pi\)
\(132\) 1.53726 6.39722i 0.133801 0.556807i
\(133\) −0.528348 1.62609i −0.0458136 0.141000i
\(134\) 6.57849 6.81778i 0.568295 0.588966i
\(135\) 9.58353 6.56932i 0.824819 0.565397i
\(136\) 2.67666 + 12.5174i 0.229522 + 1.07336i
\(137\) −10.6892 + 14.7124i −0.913236 + 1.25696i 0.0528136 + 0.998604i \(0.483181\pi\)
−0.966050 + 0.258357i \(0.916819\pi\)
\(138\) 10.4462 11.7925i 0.889236 1.00385i
\(139\) 6.52821 + 8.98531i 0.553715 + 0.762124i 0.990510 0.137437i \(-0.0438865\pi\)
−0.436795 + 0.899561i \(0.643887\pi\)
\(140\) −0.942352 + 1.01597i −0.0796433 + 0.0858647i
\(141\) −6.79942 + 10.2500i −0.572614 + 0.863202i
\(142\) −0.597677 3.38154i −0.0501559 0.283772i
\(143\) −8.90981 −0.745075
\(144\) 1.88220 11.8515i 0.156850 0.987622i
\(145\) 6.91027 13.6245i 0.573866 1.13145i
\(146\) 5.82112 11.9474i 0.481759 0.988775i
\(147\) 11.5199 + 3.20746i 0.950143 + 0.264547i
\(148\) 7.53798 2.75056i 0.619618 0.226094i
\(149\) 10.3539i 0.848222i 0.905610 + 0.424111i \(0.139413\pi\)
−0.905610 + 0.424111i \(0.860587\pi\)
\(150\) 12.1946 + 1.13626i 0.995687 + 0.0927750i
\(151\) 19.3082i 1.57128i −0.618685 0.785639i \(-0.712334\pi\)
0.618685 0.785639i \(-0.287666\pi\)
\(152\) 3.26356 + 15.2621i 0.264710 + 1.23792i
\(153\) 13.2226 + 3.08125i 1.06899 + 0.249105i
\(154\) 0.748191 + 0.364540i 0.0602909 + 0.0293755i
\(155\) 2.13385 + 13.3131i 0.171395 + 1.06933i
\(156\) −16.2007 + 1.27160i −1.29709 + 0.101809i
\(157\) 5.03933 0.402182 0.201091 0.979573i \(-0.435551\pi\)
0.201091 + 0.979573i \(0.435551\pi\)
\(158\) −2.65287 + 0.468888i −0.211051 + 0.0373027i
\(159\) −1.09501 0.726385i −0.0868398 0.0576061i
\(160\) 9.51407 8.33562i 0.752153 0.658989i
\(161\) 1.17136 + 1.61224i 0.0923164 + 0.127063i
\(162\) −10.5256 7.15628i −0.826967 0.562251i
\(163\) 6.18477 8.51261i 0.484429 0.666759i −0.494920 0.868939i \(-0.664803\pi\)
0.979348 + 0.202180i \(0.0648025\pi\)
\(164\) −1.05215 2.88344i −0.0821591 0.225159i
\(165\) −1.47249 7.20703i −0.114633 0.561067i
\(166\) −2.61078 2.51914i −0.202636 0.195524i
\(167\) −1.55001 4.77044i −0.119943 0.369148i 0.873003 0.487716i \(-0.162170\pi\)
−0.992946 + 0.118568i \(0.962170\pi\)
\(168\) 1.41246 + 0.556062i 0.108974 + 0.0429011i
\(169\) 2.78321 + 8.56584i 0.214093 + 0.658911i
\(170\) 8.63855 + 11.4100i 0.662547 + 0.875110i
\(171\) 16.1219 + 3.75687i 1.23287 + 0.287295i
\(172\) 6.23729 + 4.19971i 0.475589 + 0.320225i
\(173\) −7.28298 10.0242i −0.553715 0.762123i 0.436796 0.899561i \(-0.356113\pi\)
−0.990510 + 0.137438i \(0.956113\pi\)
\(174\) −16.6567 1.61425i −1.26274 0.122376i
\(175\) −0.473295 + 1.47521i −0.0357778 + 0.111516i
\(176\) −6.44931 4.01538i −0.486135 0.302670i
\(177\) −14.7182 18.5422i −1.10628 1.39372i
\(178\) 11.4369 + 5.57239i 0.857233 + 0.417668i
\(179\) −6.67793 + 20.5526i −0.499132 + 1.53617i 0.311285 + 0.950317i \(0.399241\pi\)
−0.810417 + 0.585854i \(0.800759\pi\)
\(180\) −3.70600 12.8944i −0.276229 0.961092i
\(181\) 6.78493 + 20.8819i 0.504320 + 1.55214i 0.801911 + 0.597443i \(0.203817\pi\)
−0.297592 + 0.954693i \(0.596183\pi\)
\(182\) 0.285263 2.03577i 0.0211451 0.150902i
\(183\) −15.3825 + 5.73331i −1.13711 + 0.423819i
\(184\) −9.11479 15.7428i −0.671951 1.16057i
\(185\) 6.33188 6.35536i 0.465529 0.467256i
\(186\) 12.7308 7.48842i 0.933466 0.549077i
\(187\) 5.05230 6.95389i 0.369461 0.508519i
\(188\) 8.75335 + 11.1850i 0.638403 + 0.815748i
\(189\) 1.17130 1.10469i 0.0851994 0.0803547i
\(190\) 10.5327 + 13.9119i 0.764122 + 1.00927i
\(191\) 4.26831 + 3.10111i 0.308844 + 0.224389i 0.731400 0.681948i \(-0.238867\pi\)
−0.422556 + 0.906337i \(0.638867\pi\)
\(192\) −12.2999 6.38072i −0.887665 0.460489i
\(193\) 2.61953 0.188558 0.0942788 0.995546i \(-0.469945\pi\)
0.0942788 + 0.995546i \(0.469945\pi\)
\(194\) 3.09084 + 17.4874i 0.221909 + 1.25552i
\(195\) −15.8058 + 8.95973i −1.13188 + 0.641620i
\(196\) 7.71199 11.4536i 0.550857 0.818116i
\(197\) 21.8387 + 7.09582i 1.55594 + 0.505556i 0.955720 0.294277i \(-0.0950790\pi\)
0.600222 + 0.799834i \(0.295079\pi\)
\(198\) −6.76521 + 4.37760i −0.480783 + 0.311102i
\(199\) 6.62396i 0.469560i 0.972049 + 0.234780i \(0.0754370\pi\)
−0.972049 + 0.234780i \(0.924563\pi\)
\(200\) 5.68843 12.9477i 0.402233 0.915537i
\(201\) −11.5928 + 0.494247i −0.817695 + 0.0348615i
\(202\) 5.81459 + 10.9249i 0.409113 + 0.768674i
\(203\) 0.654164 2.01331i 0.0459133 0.141307i
\(204\) 8.19415 13.3653i 0.573705 0.935760i
\(205\) −2.43107 2.42209i −0.169793 0.169166i
\(206\) −6.50332 + 1.14944i −0.453108 + 0.0800854i
\(207\) −19.2245 + 1.64222i −1.33620 + 0.114142i
\(208\) −4.50987 + 18.2145i −0.312703 + 1.26295i
\(209\) 6.16010 8.47865i 0.426103 0.586480i
\(210\) 1.69386 0.105698i 0.116887 0.00729384i
\(211\) 9.71127 + 13.3664i 0.668551 + 0.920182i 0.999726 0.0233873i \(-0.00744509\pi\)
−0.331175 + 0.943569i \(0.607445\pi\)
\(212\) −1.19490 + 0.935125i −0.0820658 + 0.0642246i
\(213\) −2.32488 + 3.50470i −0.159298 + 0.240138i
\(214\) −0.383920 + 0.204335i −0.0262442 + 0.0139680i
\(215\) 8.30586 + 1.29976i 0.566455 + 0.0886431i
\(216\) −11.6764 + 8.92531i −0.794480 + 0.607290i
\(217\) 0.577355 + 1.77692i 0.0391934 + 0.120625i
\(218\) −12.3608 1.73206i −0.837177 0.117310i
\(219\) −15.2520 + 5.68468i −1.03064 + 0.384135i
\(220\) −8.43330 1.01266i −0.568573 0.0682738i
\(221\) −20.1912 6.56052i −1.35821 0.441309i
\(222\) −9.00999 3.92428i −0.604711 0.263380i
\(223\) −12.0612 16.6009i −0.807679 1.11168i −0.991677 0.128749i \(-0.958904\pi\)
0.183998 0.982927i \(-0.441096\pi\)
\(224\) 1.12395 1.34502i 0.0750968 0.0898681i
\(225\) −9.85957 11.3044i −0.657305 0.753625i
\(226\) 1.78110 12.7108i 0.118477 0.845509i
\(227\) 9.87438 7.17416i 0.655386 0.476166i −0.209716 0.977762i \(-0.567254\pi\)
0.865102 + 0.501597i \(0.167254\pi\)
\(228\) 9.99085 16.2959i 0.661660 1.07922i
\(229\) 0.971101 2.98874i 0.0641721 0.197502i −0.913830 0.406097i \(-0.866889\pi\)
0.978002 + 0.208596i \(0.0668893\pi\)
\(230\) −16.6864 11.6279i −1.10027 0.766720i
\(231\) −0.355995 0.955136i −0.0234228 0.0628434i
\(232\) −7.83806 + 17.6626i −0.514594 + 1.15961i
\(233\) −8.86597 + 2.88073i −0.580829 + 0.188723i −0.584672 0.811270i \(-0.698777\pi\)
0.00384306 + 0.999993i \(0.498777\pi\)
\(234\) 15.4468 + 12.5506i 1.00979 + 0.820459i
\(235\) 14.1620 + 7.18290i 0.923826 + 0.468561i
\(236\) −25.6797 + 9.37036i −1.67161 + 0.609958i
\(237\) 2.74950 + 1.82391i 0.178599 + 0.118476i
\(238\) 1.42711 + 1.37702i 0.0925061 + 0.0892593i
\(239\) 18.5823 13.5009i 1.20199 0.873298i 0.207512 0.978232i \(-0.433463\pi\)
0.994479 + 0.104935i \(0.0334634\pi\)
\(240\) −15.4788 0.637740i −0.999152 0.0411659i
\(241\) −6.49962 4.72225i −0.418677 0.304187i 0.358428 0.933557i \(-0.383313\pi\)
−0.777105 + 0.629371i \(0.783313\pi\)
\(242\) −1.81966 10.2953i −0.116972 0.661806i
\(243\) 3.29591 + 15.2360i 0.211433 + 0.977393i
\(244\) 0.676985 + 18.9437i 0.0433395 + 1.21275i
\(245\) 2.38677 15.2522i 0.152485 0.974425i
\(246\) −1.50112 + 3.44653i −0.0957082 + 0.219742i
\(247\) −24.6185 7.99903i −1.56644 0.508966i
\(248\) −3.56628 16.6777i −0.226459 1.05904i
\(249\) 0.189265 + 4.43932i 0.0119942 + 0.281330i
\(250\) −0.370175 15.8071i −0.0234119 0.999726i
\(251\) −26.8547 −1.69505 −0.847527 0.530752i \(-0.821909\pi\)
−0.847527 + 0.530752i \(0.821909\pi\)
\(252\) −0.783622 1.68592i −0.0493636 0.106203i
\(253\) −3.77474 + 11.6175i −0.237316 + 0.730383i
\(254\) 17.4411 + 8.49781i 1.09435 + 0.533200i
\(255\) 1.96981 17.4167i 0.123354 1.09067i
\(256\) −11.4731 + 11.1520i −0.717072 + 0.696999i
\(257\) 3.87994i 0.242024i 0.992651 + 0.121012i \(0.0386140\pi\)
−0.992651 + 0.121012i \(0.961386\pi\)
\(258\) −1.98771 8.99228i −0.123750 0.559835i
\(259\) 0.730712 1.00574i 0.0454042 0.0624936i
\(260\) 4.05794 + 20.5832i 0.251663 + 1.27651i
\(261\) 13.4147 + 15.4959i 0.830351 + 0.959175i
\(262\) 1.51056 + 1.45754i 0.0933227 + 0.0900472i
\(263\) 11.2726 + 8.19005i 0.695101 + 0.505020i 0.878333 0.478049i \(-0.158656\pi\)
−0.183232 + 0.983070i \(0.558656\pi\)
\(264\) 2.33146 + 9.00775i 0.143491 + 0.554389i
\(265\) −0.767353 + 1.51293i −0.0471381 + 0.0929387i
\(266\) 1.74003 + 1.67896i 0.106688 + 0.102944i
\(267\) −5.44178 14.6003i −0.333031 0.893524i
\(268\) −3.68260 + 12.8824i −0.224951 + 0.786916i
\(269\) 13.6533 4.43622i 0.832456 0.270481i 0.138376 0.990380i \(-0.455812\pi\)
0.694079 + 0.719899i \(0.255812\pi\)
\(270\) −7.59921 + 14.5689i −0.462473 + 0.886633i
\(271\) 1.44312 + 0.468897i 0.0876630 + 0.0284834i 0.352520 0.935804i \(-0.385325\pi\)
−0.264857 + 0.964288i \(0.585325\pi\)
\(272\) −11.6587 13.8484i −0.706910 0.839680i
\(273\) −1.97195 + 1.56526i −0.119348 + 0.0947339i
\(274\) 3.56890 25.4693i 0.215605 1.53866i
\(275\) −9.02073 + 2.96798i −0.543971 + 0.178976i
\(276\) −5.20558 + 21.6627i −0.313339 + 1.30394i
\(277\) 10.4349 7.58142i 0.626974 0.455523i −0.228377 0.973573i \(-0.573342\pi\)
0.855350 + 0.518050i \(0.173342\pi\)
\(278\) −14.1201 6.87970i −0.846865 0.412617i
\(279\) −17.6173 4.10534i −1.05472 0.245780i
\(280\) 0.501388 1.89447i 0.0299636 0.113217i
\(281\) 24.2794 7.88884i 1.44838 0.470609i 0.523884 0.851789i \(-0.324482\pi\)
0.924501 + 0.381181i \(0.124482\pi\)
\(282\) 1.67794 17.3139i 0.0999196 1.03103i
\(283\) −2.52345 + 0.819917i −0.150003 + 0.0487390i −0.383056 0.923725i \(-0.625128\pi\)
0.233053 + 0.972464i \(0.425128\pi\)
\(284\) 2.99298 + 3.82441i 0.177601 + 0.226937i
\(285\) 2.40172 21.2355i 0.142266 1.25789i
\(286\) 11.1231 5.92005i 0.657720 0.350060i
\(287\) −0.384718 0.279514i −0.0227092 0.0164992i
\(288\) 5.52486 + 16.0461i 0.325556 + 0.945523i
\(289\) 2.81646 2.04628i 0.165674 0.120369i
\(290\) 0.425837 + 21.6003i 0.0250060 + 1.26841i
\(291\) 12.0229 18.1243i 0.704798 1.06247i
\(292\) 0.671242 + 18.7830i 0.0392815 + 1.09919i
\(293\) 25.7575i 1.50477i −0.658726 0.752383i \(-0.728904\pi\)
0.658726 0.752383i \(-0.271096\pi\)
\(294\) −16.5126 + 3.65007i −0.963037 + 0.212876i
\(295\) −21.5709 + 21.6509i −1.25591 + 1.26056i
\(296\) −7.58287 + 8.44236i −0.440745 + 0.490702i
\(297\) 9.69817 + 1.82832i 0.562745 + 0.106090i
\(298\) −6.87954 12.9258i −0.398521 0.748773i
\(299\) 30.1710 1.74484
\(300\) −15.9788 + 6.68411i −0.922538 + 0.385907i
\(301\) 1.16497 0.0671475
\(302\) 12.8292 + 24.1045i 0.738236 + 1.38706i
\(303\) 4.06559 14.6019i 0.233562 0.838858i
\(304\) −14.2150 16.8848i −0.815287 0.968412i
\(305\) 9.65647 + 18.8655i 0.552928 + 1.08023i
\(306\) −18.5545 + 4.93901i −1.06069 + 0.282345i
\(307\) 12.4595i 0.711099i −0.934657 0.355550i \(-0.884294\pi\)
0.934657 0.355550i \(-0.115706\pi\)
\(308\) −1.17626 + 0.0420356i −0.0670237 + 0.00239520i
\(309\) 6.74019 + 4.47118i 0.383436 + 0.254356i
\(310\) −11.5097 15.2023i −0.653705 0.863432i
\(311\) 6.46908 4.70006i 0.366828 0.266516i −0.389067 0.921210i \(-0.627202\pi\)
0.755894 + 0.654694i \(0.227202\pi\)
\(312\) 19.3802 12.3519i 1.09719 0.699288i
\(313\) −18.1139 13.1605i −1.02386 0.743875i −0.0567864 0.998386i \(-0.518085\pi\)
−0.967070 + 0.254511i \(0.918085\pi\)
\(314\) −6.29113 + 3.34834i −0.355029 + 0.188958i
\(315\) −1.59202 1.33640i −0.0896999 0.0752976i
\(316\) 3.00031 2.34804i 0.168781 0.132088i
\(317\) 16.3147 5.30095i 0.916323 0.297731i 0.187365 0.982290i \(-0.440005\pi\)
0.728957 + 0.684559i \(0.240005\pi\)
\(318\) 1.84965 + 0.179255i 0.103723 + 0.0100521i
\(319\) 12.3408 4.00976i 0.690950 0.224503i
\(320\) −6.33888 + 16.7278i −0.354354 + 0.935111i
\(321\) 0.513136 + 0.142872i 0.0286404 + 0.00797433i
\(322\) −2.53358 1.23443i −0.141191 0.0687922i
\(323\) 20.2029 14.6783i 1.12412 0.816722i
\(324\) 17.8951 + 1.94032i 0.994173 + 0.107796i
\(325\) 13.8570 + 18.9248i 0.768650 + 1.04976i
\(326\) −2.06497 + 14.7366i −0.114368 + 0.816185i
\(327\) 9.50392 + 11.9732i 0.525568 + 0.662122i
\(328\) 3.22939 + 2.90062i 0.178313 + 0.160160i
\(329\) 2.09274 + 0.679973i 0.115377 + 0.0374881i
\(330\) 6.62691 + 8.01892i 0.364800 + 0.441427i
\(331\) −33.9964 + 11.0461i −1.86861 + 0.607149i −0.876566 + 0.481282i \(0.840171\pi\)
−0.992047 + 0.125867i \(0.959829\pi\)
\(332\) 4.93314 + 1.41020i 0.270741 + 0.0773950i
\(333\) 4.68019 + 11.0890i 0.256473 + 0.607673i
\(334\) 5.10472 + 4.92555i 0.279318 + 0.269514i
\(335\) 2.37075 + 14.7911i 0.129528 + 0.808123i
\(336\) −2.13280 + 0.244308i −0.116354 + 0.0133281i
\(337\) −3.49101 2.53637i −0.190167 0.138165i 0.488628 0.872492i \(-0.337498\pi\)
−0.678795 + 0.734328i \(0.737498\pi\)
\(338\) −9.16608 8.84436i −0.498569 0.481070i
\(339\) −12.3123 + 9.77304i −0.668712 + 0.530799i
\(340\) −18.3657 8.50454i −0.996021 0.461223i
\(341\) −6.73149 + 9.26510i −0.364531 + 0.501733i
\(342\) −22.6229 + 6.02197i −1.22331 + 0.325631i
\(343\) 4.30823i 0.232623i
\(344\) −10.5771 1.09863i −0.570281 0.0592343i
\(345\) 4.98625 + 24.4050i 0.268450 + 1.31392i
\(346\) 15.7526 + 7.67510i 0.846864 + 0.412616i
\(347\) 4.70767 14.4887i 0.252721 0.777795i −0.741549 0.670898i \(-0.765909\pi\)
0.994270 0.106896i \(-0.0340913\pi\)
\(348\) 21.8669 9.05220i 1.17219 0.485249i
\(349\) 6.71463 0.359426 0.179713 0.983719i \(-0.442483\pi\)
0.179713 + 0.983719i \(0.442483\pi\)
\(350\) −0.389329 2.15614i −0.0208105 0.115251i
\(351\) −3.10734 24.1769i −0.165858 1.29047i
\(352\) 10.7193 + 0.727629i 0.571343 + 0.0387828i
\(353\) 12.7469 + 4.14173i 0.678451 + 0.220442i 0.627917 0.778280i \(-0.283908\pi\)
0.0505337 + 0.998722i \(0.483908\pi\)
\(354\) 30.6945 + 13.3689i 1.63139 + 0.710548i
\(355\) 4.84232 + 2.45601i 0.257004 + 0.130351i
\(356\) −17.9804 + 0.642560i −0.952961 + 0.0340556i
\(357\) −0.103457 2.42664i −0.00547553 0.128431i
\(358\) −5.31921 30.0950i −0.281129 1.59057i
\(359\) −19.8499 14.4218i −1.04764 0.761153i −0.0758753 0.997117i \(-0.524175\pi\)
−0.971762 + 0.235965i \(0.924175\pi\)
\(360\) 13.1942 + 13.6350i 0.695394 + 0.718629i
\(361\) 9.26145 6.72883i 0.487445 0.354149i
\(362\) −22.3451 21.5608i −1.17443 1.13321i
\(363\) −7.07824 + 10.6703i −0.371511 + 0.560044i
\(364\) 0.996528 + 2.73101i 0.0522322 + 0.143144i
\(365\) 9.57455 + 18.7054i 0.501155 + 0.979087i
\(366\) 15.3941 17.3783i 0.804665 0.908377i
\(367\) 29.8410 9.69594i 1.55769 0.506124i 0.601500 0.798872i \(-0.294570\pi\)
0.956190 + 0.292748i \(0.0945698\pi\)
\(368\) 21.8391 + 13.5972i 1.13844 + 0.708801i
\(369\) 4.24179 1.79028i 0.220819 0.0931981i
\(370\) −3.68198 + 12.1412i −0.191417 + 0.631193i
\(371\) −0.0726419 + 0.223569i −0.00377138 + 0.0116071i
\(372\) −10.9176 + 17.8074i −0.566050 + 0.923273i
\(373\) 2.56104 1.86070i 0.132606 0.0963436i −0.519505 0.854467i \(-0.673884\pi\)
0.652111 + 0.758124i \(0.273884\pi\)
\(374\) −1.68686 + 12.0382i −0.0872256 + 0.622483i
\(375\) −13.0180 + 14.3364i −0.672245 + 0.740329i
\(376\) −18.3595 8.14730i −0.946819 0.420165i
\(377\) −18.8382 25.9286i −0.970218 1.33539i
\(378\) −0.728250 + 2.15737i −0.0374572 + 0.110963i
\(379\) 16.6493 + 5.40969i 0.855217 + 0.277877i 0.703630 0.710567i \(-0.251561\pi\)
0.151588 + 0.988444i \(0.451561\pi\)
\(380\) −22.3927 10.3693i −1.14872 0.531934i
\(381\) −8.29863 22.2653i −0.425152 1.14068i
\(382\) −7.38910 1.03540i −0.378059 0.0529757i
\(383\) −6.59223 20.2888i −0.336847 1.03671i −0.965805 0.259270i \(-0.916518\pi\)
0.628958 0.777439i \(-0.283482\pi\)
\(384\) 19.5948 0.206801i 0.999944 0.0105533i
\(385\) −1.17140 + 0.599593i −0.0597002 + 0.0305581i
\(386\) −3.27023 + 1.74052i −0.166450 + 0.0885903i
\(387\) −5.82898 + 9.65615i −0.296304 + 0.490850i
\(388\) −15.4780 19.7776i −0.785774 1.00406i
\(389\) 4.43623 + 6.10594i 0.224926 + 0.309583i 0.906533 0.422134i \(-0.138719\pi\)
−0.681608 + 0.731718i \(0.738719\pi\)
\(390\) 13.7788 21.6874i 0.697718 1.09818i
\(391\) −17.1085 + 23.5478i −0.865213 + 1.19086i
\(392\) −2.01743 + 19.4229i −0.101896 + 0.981007i
\(393\) −0.109506 2.56853i −0.00552387 0.129565i
\(394\) −31.9783 + 5.65207i −1.61104 + 0.284747i
\(395\) 1.92678 3.79888i 0.0969467 0.191142i
\(396\) 5.53707 9.96010i 0.278248 0.500514i
\(397\) −8.37440 + 25.7738i −0.420299 + 1.29355i 0.487125 + 0.873332i \(0.338046\pi\)
−0.907424 + 0.420216i \(0.861954\pi\)
\(398\) −4.40124 8.26939i −0.220614 0.414507i
\(399\) −0.126142 2.95872i −0.00631498 0.148121i
\(400\) 1.50149 + 19.9436i 0.0750744 + 0.997178i
\(401\) 15.4298i 0.770526i −0.922807 0.385263i \(-0.874111\pi\)
0.922807 0.385263i \(-0.125889\pi\)
\(402\) 14.1442 8.31978i 0.705446 0.414953i
\(403\) 26.9020 + 8.74099i 1.34008 + 0.435420i
\(404\) −14.5179 9.77527i −0.722294 0.486338i
\(405\) 19.0429 6.50911i 0.946249 0.323440i
\(406\) 0.521065 + 2.94808i 0.0258600 + 0.146311i
\(407\) 7.62007 0.377713
\(408\) −1.34914 + 22.1299i −0.0667926 + 1.09559i
\(409\) −23.6000 17.1464i −1.16694 0.847834i −0.176303 0.984336i \(-0.556414\pi\)
−0.990640 + 0.136502i \(0.956414\pi\)
\(410\) 4.64430 + 1.40844i 0.229365 + 0.0695580i
\(411\) −24.6708 + 19.5828i −1.21692 + 0.965948i
\(412\) 7.35504 5.75605i 0.362357 0.283580i
\(413\) −2.48933 + 3.42626i −0.122492 + 0.168595i
\(414\) 22.9089 14.8237i 1.12591 0.728547i
\(415\) 5.66405 0.907848i 0.278037 0.0445645i
\(416\) −6.47232 25.7356i −0.317332 1.26179i
\(417\) 6.71844 + 18.0256i 0.329004 + 0.882717i
\(418\) −2.05674 + 14.6778i −0.100598 + 0.717916i
\(419\) 8.89913 + 27.3887i 0.434751 + 1.33803i 0.893342 + 0.449378i \(0.148354\pi\)
−0.458591 + 0.888648i \(0.651646\pi\)
\(420\) −2.04439 + 1.25742i −0.0997560 + 0.0613559i
\(421\) 7.02569 21.6229i 0.342411 1.05383i −0.620544 0.784172i \(-0.713088\pi\)
0.962955 0.269662i \(-0.0869119\pi\)
\(422\) −21.0048 10.2341i −1.02250 0.498190i
\(423\) −16.1073 + 13.9440i −0.783165 + 0.677980i
\(424\) 0.870380 1.96135i 0.0422694 0.0952518i
\(425\) −22.6280 + 0.0837748i −1.09762 + 0.00406367i
\(426\) 0.573726 5.92004i 0.0277971 0.286827i
\(427\) 1.72620 + 2.37591i 0.0835366 + 0.114978i
\(428\) 0.343519 0.510185i 0.0166046 0.0246607i
\(429\) −14.8667 4.13933i −0.717773 0.199849i
\(430\) −11.2327 + 3.89613i −0.541689 + 0.187888i
\(431\) 4.98781 + 15.3509i 0.240255 + 0.739428i 0.996381 + 0.0850017i \(0.0270896\pi\)
−0.756126 + 0.654426i \(0.772910\pi\)
\(432\) 8.64657 18.9007i 0.416008 0.909361i
\(433\) −3.93756 12.1186i −0.189227 0.582380i 0.810769 0.585367i \(-0.199049\pi\)
−0.999996 + 0.00298628i \(0.999049\pi\)
\(434\) −1.90143 1.83469i −0.0912716 0.0880682i
\(435\) 17.8600 19.5231i 0.856322 0.936062i
\(436\) 16.5821 6.05070i 0.794139 0.289776i
\(437\) −20.8598 + 28.7110i −0.997859 + 1.37343i
\(438\) 15.2636 17.2309i 0.729321 0.823322i
\(439\) −0.00992669 0.0136629i −0.000473775 0.000652095i 0.808780 0.588111i \(-0.200128\pi\)
−0.809254 + 0.587459i \(0.800128\pi\)
\(440\) 11.2010 4.33922i 0.533989 0.206864i
\(441\) 17.7317 + 10.7038i 0.844367 + 0.509706i
\(442\) 29.5659 5.22569i 1.40631 0.248561i
\(443\) 13.3387 0.633739 0.316870 0.948469i \(-0.397368\pi\)
0.316870 + 0.948469i \(0.397368\pi\)
\(444\) 13.8556 1.08753i 0.657557 0.0516117i
\(445\) −17.9062 + 9.16544i −0.848834 + 0.434484i
\(446\) 26.0876 + 12.7106i 1.23528 + 0.601865i
\(447\) −4.81021 + 17.2763i −0.227515 + 0.817139i
\(448\) −0.509452 + 2.42593i −0.0240694 + 0.114614i
\(449\) 34.1036i 1.60945i −0.593649 0.804724i \(-0.702313\pi\)
0.593649 0.804724i \(-0.297687\pi\)
\(450\) 19.8198 + 7.56133i 0.934316 + 0.356445i
\(451\) 2.91485i 0.137255i
\(452\) 6.22204 + 17.0517i 0.292660 + 0.802043i
\(453\) 8.97022 32.2173i 0.421458 1.51370i
\(454\) −7.56043 + 15.5172i −0.354828 + 0.728259i
\(455\) 2.30255 + 2.29404i 0.107945 + 0.107546i
\(456\) −1.64497 + 26.9822i −0.0770326 + 1.26356i
\(457\) −31.6417 −1.48014 −0.740069 0.672531i \(-0.765207\pi\)
−0.740069 + 0.672531i \(0.765207\pi\)
\(458\) 0.773516 + 4.37640i 0.0361440 + 0.204496i
\(459\) 20.6315 + 11.2843i 0.962998 + 0.526706i
\(460\) 28.5575 + 3.42916i 1.33150 + 0.159885i
\(461\) 7.09986 + 9.77212i 0.330673 + 0.455133i 0.941688 0.336486i \(-0.109238\pi\)
−0.611015 + 0.791619i \(0.709238\pi\)
\(462\) 1.07906 + 0.955860i 0.0502024 + 0.0444706i
\(463\) 20.5543 28.2905i 0.955238 1.31477i 0.00607669 0.999982i \(-0.498066\pi\)
0.949161 0.314791i \(-0.101934\pi\)
\(464\) −1.95071 27.2581i −0.0905597 1.26542i
\(465\) −2.62449 + 23.2053i −0.121708 + 1.07612i
\(466\) 9.15425 9.48723i 0.424062 0.439488i
\(467\) −3.83021 11.7882i −0.177241 0.545492i 0.822488 0.568783i \(-0.192586\pi\)
−0.999729 + 0.0232909i \(0.992586\pi\)
\(468\) −27.6230 5.40478i −1.27687 0.249836i
\(469\) 0.641453 + 1.97419i 0.0296196 + 0.0911596i
\(470\) −22.4525 + 0.442638i −1.03566 + 0.0204174i
\(471\) 8.40853 + 2.34118i 0.387445 + 0.107876i
\(472\) 25.8327 28.7607i 1.18904 1.32382i
\(473\) 4.19723 + 5.77700i 0.192989 + 0.265627i
\(474\) −4.64437 0.450098i −0.213323 0.0206737i
\(475\) −27.5896 + 0.102144i −1.26590 + 0.00468668i
\(476\) −2.69657 0.770852i −0.123597 0.0353319i
\(477\) −1.48964 1.72075i −0.0682061 0.0787879i
\(478\) −14.2278 + 29.2014i −0.650763 + 1.33564i
\(479\) −0.322045 + 0.991153i −0.0147146 + 0.0452869i −0.958144 0.286286i \(-0.907579\pi\)
0.943430 + 0.331573i \(0.107579\pi\)
\(480\) 19.7476 9.48860i 0.901349 0.433094i
\(481\) −5.81604 17.8999i −0.265189 0.816166i
\(482\) 11.2518 + 1.57667i 0.512506 + 0.0718151i
\(483\) 1.20550 + 3.23435i 0.0548520 + 0.147168i
\(484\) 9.11229 + 11.6436i 0.414195 + 0.529256i
\(485\) −25.0417 12.7010i −1.13708 0.576725i
\(486\) −14.2381 16.8308i −0.645853 0.763462i
\(487\) −15.6093 + 21.4843i −0.707323 + 0.973547i 0.292527 + 0.956257i \(0.405504\pi\)
−0.999851 + 0.0172900i \(0.994496\pi\)
\(488\) −13.4322 23.1996i −0.608045 1.05020i
\(489\) 14.2746 11.3307i 0.645519 0.512390i
\(490\) 7.15452 + 20.6268i 0.323208 + 0.931822i
\(491\) −25.8833 18.8053i −1.16810 0.848671i −0.177316 0.984154i \(-0.556741\pi\)
−0.990780 + 0.135483i \(0.956741\pi\)
\(492\) −0.416003 5.30007i −0.0187549 0.238946i
\(493\) 30.9189 1.39252
\(494\) 36.0487 6.37151i 1.62191 0.286668i
\(495\) 0.891286 12.7096i 0.0400603 0.571255i
\(496\) 15.5336 + 18.4510i 0.697477 + 0.828475i
\(497\) 0.715558 + 0.232499i 0.0320972 + 0.0104290i
\(498\) −3.18595 5.41632i −0.142766 0.242711i
\(499\) 22.0312i 0.986252i −0.869958 0.493126i \(-0.835854\pi\)
0.869958 0.493126i \(-0.164146\pi\)
\(500\) 10.9650 + 19.4877i 0.490370 + 0.871515i
\(501\) −0.370061 8.67997i −0.0165331 0.387792i
\(502\) 33.5256 17.8434i 1.49632 0.796389i
\(503\) −5.57845 + 17.1687i −0.248731 + 0.765514i 0.746270 + 0.665644i \(0.231843\pi\)
−0.995000 + 0.0998705i \(0.968157\pi\)
\(504\) 2.09847 + 1.58404i 0.0934734 + 0.0705587i
\(505\) −19.3328 3.02533i −0.860296 0.134626i
\(506\) −3.00671 17.0114i −0.133665 0.756249i
\(507\) 0.664484 + 15.5858i 0.0295108 + 0.692191i
\(508\) −27.4199 + 0.979896i −1.21656 + 0.0434758i
\(509\) −17.7421 + 24.4200i −0.786406 + 1.08240i 0.208140 + 0.978099i \(0.433259\pi\)
−0.994546 + 0.104296i \(0.966741\pi\)
\(510\) 9.11324 + 23.0519i 0.403541 + 1.02075i
\(511\) 1.71156 + 2.35575i 0.0757147 + 0.104212i
\(512\) 6.91330 21.5454i 0.305528 0.952183i
\(513\) 25.1553 + 13.7586i 1.11064 + 0.607456i
\(514\) −2.57800 4.84374i −0.113711 0.213648i
\(515\) 4.72335 9.31267i 0.208136 0.410365i
\(516\) 8.45632 + 9.90529i 0.372269 + 0.436056i
\(517\) 4.16796 + 12.8277i 0.183307 + 0.564160i
\(518\) −0.243970 + 1.74109i −0.0107194 + 0.0764989i
\(519\) −7.49521 20.1097i −0.329003 0.882716i
\(520\) −18.7423 22.9999i −0.821902 1.00861i
\(521\) −2.15432 0.699982i −0.0943826 0.0306668i 0.261445 0.965218i \(-0.415801\pi\)
−0.355828 + 0.934552i \(0.615801\pi\)
\(522\) −27.0432 10.4319i −1.18365 0.456592i
\(523\) 2.94584 + 4.05459i 0.128812 + 0.177295i 0.868552 0.495598i \(-0.165051\pi\)
−0.739739 + 0.672893i \(0.765051\pi\)
\(524\) −2.85424 0.815925i −0.124688 0.0356438i
\(525\) −1.47509 + 2.24163i −0.0643781 + 0.0978328i
\(526\) −19.5146 2.73450i −0.850879 0.119230i
\(527\) −22.0769 + 16.0398i −0.961685 + 0.698705i
\(528\) −8.89573 9.69621i −0.387137 0.421973i
\(529\) 5.67491 17.4656i 0.246735 0.759373i
\(530\) −0.0472872 2.39862i −0.00205403 0.104189i
\(531\) −15.9441 37.7770i −0.691913 1.63938i
\(532\) −3.28784 0.939874i −0.142546 0.0407487i
\(533\) −6.84712 + 2.22477i −0.296582 + 0.0963653i
\(534\) 16.4946 + 14.6114i 0.713791 + 0.632295i
\(535\) 0.106315 0.679386i 0.00459641 0.0293724i
\(536\) −3.96220 18.5293i −0.171141 0.800344i
\(537\) −20.6910 + 31.1912i −0.892883 + 1.34600i
\(538\) −14.0972 + 14.6100i −0.607775 + 0.629883i
\(539\) 10.6084 7.70744i 0.456935 0.331983i
\(540\) −0.193272 23.2371i −0.00831708 0.999965i
\(541\) 2.54633 + 1.85001i 0.109475 + 0.0795383i 0.641176 0.767394i \(-0.278447\pi\)
−0.531701 + 0.846932i \(0.678447\pi\)
\(542\) −2.11315 + 0.373493i −0.0907675 + 0.0160429i
\(543\) 1.61988 + 37.9952i 0.0695159 + 1.63053i
\(544\) 23.7562 + 9.54187i 1.01854 + 0.409104i
\(545\) 13.9289 13.9806i 0.596650 0.598863i
\(546\) 1.42177 3.26432i 0.0608460 0.139700i
\(547\) 19.1348 + 6.21729i 0.818147 + 0.265832i 0.688045 0.725668i \(-0.258469\pi\)
0.130103 + 0.991501i \(0.458469\pi\)
\(548\) 12.4674 + 34.1674i 0.532583 + 1.45956i
\(549\) −28.3305 + 2.42008i −1.20912 + 0.103287i
\(550\) 9.28949 9.69900i 0.396105 0.413567i
\(551\) 37.6983 1.60600
\(552\) −7.89495 30.5027i −0.336031 1.29828i
\(553\) 0.182399 0.561367i 0.00775641 0.0238718i
\(554\) −7.98961 + 16.3981i −0.339446 + 0.696688i
\(555\) 13.5178 7.66277i 0.573800 0.325266i
\(556\) 22.1987 0.793308i 0.941436 0.0336438i
\(557\) 2.68419i 0.113733i −0.998382 0.0568664i \(-0.981889\pi\)
0.998382 0.0568664i \(-0.0181109\pi\)
\(558\) 24.7213 6.58055i 1.04654 0.278577i
\(559\) 10.3669 14.2688i 0.438473 0.603507i
\(560\) 0.632833 + 2.69822i 0.0267421 + 0.114020i
\(561\) 11.6608 9.25594i 0.492320 0.390786i
\(562\) −25.0688 + 25.9807i −1.05746 + 1.09593i
\(563\) 5.37175 + 3.90280i 0.226392 + 0.164483i 0.695199 0.718817i \(-0.255316\pi\)
−0.468807 + 0.883301i \(0.655316\pi\)
\(564\) 9.40934 + 22.7297i 0.396205 + 0.957092i
\(565\) 14.3765 + 14.3233i 0.604823 + 0.602588i
\(566\) 2.60550 2.70027i 0.109517 0.113501i
\(567\) 2.46763 1.29911i 0.103631 0.0545574i
\(568\) −6.27755 2.78576i −0.263400 0.116888i
\(569\) −16.1239 + 5.23898i −0.675950 + 0.219629i −0.626821 0.779163i \(-0.715644\pi\)
−0.0491284 + 0.998792i \(0.515644\pi\)
\(570\) 11.1115 + 28.1064i 0.465408 + 1.17725i
\(571\) −10.2552 3.33210i −0.429165 0.139444i 0.0864661 0.996255i \(-0.472443\pi\)
−0.515631 + 0.856811i \(0.672443\pi\)
\(572\) −9.95256 + 14.7812i −0.416137 + 0.618035i
\(573\) 5.68131 + 7.15744i 0.237340 + 0.299006i
\(574\) 0.666004 + 0.0933241i 0.0277985 + 0.00389527i
\(575\) 30.5467 10.0504i 1.27388 0.419131i
\(576\) −17.5589 16.3610i −0.731623 0.681710i
\(577\) −0.900509 + 0.654258i −0.0374887 + 0.0272371i −0.606372 0.795181i \(-0.707376\pi\)
0.568883 + 0.822418i \(0.307376\pi\)
\(578\) −2.15646 + 4.42597i −0.0896967 + 0.184096i
\(579\) 4.37089 + 1.21698i 0.181648 + 0.0505761i
\(580\) −14.8838 26.6830i −0.618015 1.10795i
\(581\) 0.755990 0.245636i 0.0313638 0.0101907i
\(582\) −2.96698 + 30.6150i −0.122985 + 1.26903i
\(583\) −1.37038 + 0.445265i −0.0567555 + 0.0184410i
\(584\) −13.3182 23.0028i −0.551111 0.951864i
\(585\) −30.5358 + 7.60696i −1.26250 + 0.314509i
\(586\) 17.1143 + 32.1558i 0.706986 + 1.32834i
\(587\) 6.04530 + 4.39217i 0.249516 + 0.181284i 0.705512 0.708698i \(-0.250717\pi\)
−0.455996 + 0.889982i \(0.650717\pi\)
\(588\) 18.1892 15.5285i 0.750111 0.640383i
\(589\) −26.9176 + 19.5568i −1.10912 + 0.805824i
\(590\) 12.5435 41.3617i 0.516406 1.70283i
\(591\) 33.1430 + 21.9858i 1.36332 + 0.904375i
\(592\) 3.85704 15.5779i 0.158523 0.640246i
\(593\) 41.8958i 1.72045i 0.509912 + 0.860226i \(0.329678\pi\)
−0.509912 + 0.860226i \(0.670322\pi\)
\(594\) −13.3221 + 4.16138i −0.546611 + 0.170744i
\(595\) −3.09611 + 0.496252i −0.126928 + 0.0203443i
\(596\) 17.1769 + 11.5656i 0.703594 + 0.473746i
\(597\) −3.07737 + 11.0526i −0.125948 + 0.452354i
\(598\) −37.6657 + 20.0469i −1.54027 + 0.819779i
\(599\) −30.2844 −1.23739 −0.618693 0.785633i \(-0.712338\pi\)
−0.618693 + 0.785633i \(0.712338\pi\)
\(600\) 15.5069 18.9615i 0.633065 0.774099i
\(601\) −5.91631 −0.241331 −0.120666 0.992693i \(-0.538503\pi\)
−0.120666 + 0.992693i \(0.538503\pi\)
\(602\) −1.45435 + 0.774051i −0.0592748 + 0.0315480i
\(603\) −19.5732 4.56112i −0.797082 0.185743i
\(604\) −32.0320 21.5679i −1.30336 0.877586i
\(605\) 14.7427 + 7.47745i 0.599377 + 0.304001i
\(606\) 4.62661 + 20.9305i 0.187943 + 0.850242i
\(607\) 6.47572i 0.262842i 0.991327 + 0.131421i \(0.0419539\pi\)
−0.991327 + 0.131421i \(0.958046\pi\)
\(608\) 28.9651 + 11.6341i 1.17469 + 0.471824i
\(609\) 2.02687 3.05546i 0.0821330 0.123813i
\(610\) −24.5902 17.1356i −0.995628 0.693801i
\(611\) 26.9516 19.5815i 1.09034 0.792182i
\(612\) 19.8819 18.4943i 0.803678 0.747587i
\(613\) 14.2311 + 10.3395i 0.574787 + 0.417607i 0.836841 0.547446i \(-0.184400\pi\)
−0.262054 + 0.965053i \(0.584400\pi\)
\(614\) 8.27859 + 15.5545i 0.334097 + 0.627727i
\(615\) −2.93118 5.17088i −0.118197 0.208510i
\(616\) 1.44052 0.834035i 0.0580402 0.0336042i
\(617\) 20.9543 6.80846i 0.843587 0.274098i 0.144830 0.989457i \(-0.453737\pi\)
0.698758 + 0.715358i \(0.253737\pi\)
\(618\) −11.3853 1.10338i −0.457985 0.0443845i
\(619\) −19.7409 + 6.41419i −0.793452 + 0.257808i −0.677573 0.735455i \(-0.736968\pi\)
−0.115879 + 0.993263i \(0.536968\pi\)
\(620\) 24.4698 + 11.3311i 0.982730 + 0.455069i
\(621\) −32.8406 6.19118i −1.31785 0.248444i
\(622\) −4.95312 + 10.1659i −0.198602 + 0.407616i
\(623\) −2.25509 + 1.63842i −0.0903484 + 0.0656420i
\(624\) −15.9872 + 28.2972i −0.640000 + 1.13279i
\(625\) 20.3337 + 14.5445i 0.813347 + 0.581779i
\(626\) 31.3578 + 4.39403i 1.25331 + 0.175621i
\(627\) 14.2176 11.2855i 0.567798 0.450698i
\(628\) 5.62910 8.36017i 0.224626 0.333607i
\(629\) 17.2685 + 5.61086i 0.688538 + 0.223720i
\(630\) 2.87544 + 0.610568i 0.114560 + 0.0243256i
\(631\) −30.4448 + 9.89211i −1.21199 + 0.393799i −0.844158 0.536094i \(-0.819899\pi\)
−0.367830 + 0.929893i \(0.619899\pi\)
\(632\) −2.18547 + 4.92484i −0.0869334 + 0.195900i
\(633\) 9.99426 + 26.8146i 0.397236 + 1.06579i
\(634\) −16.8451 + 17.4579i −0.669006 + 0.693341i
\(635\) −27.3067 + 13.9772i −1.08363 + 0.554667i
\(636\) −2.42822 + 1.00521i −0.0962853 + 0.0398590i
\(637\) −26.2020 19.0369i −1.03816 0.754269i
\(638\) −12.7420 + 13.2055i −0.504462 + 0.522812i
\(639\) −5.50748 + 4.76779i −0.217872 + 0.188611i
\(640\) −3.20114 25.0949i −0.126536 0.991962i
\(641\) −27.9458 + 38.4641i −1.10379 + 1.51924i −0.273535 + 0.961862i \(0.588193\pi\)
−0.830258 + 0.557379i \(0.811807\pi\)
\(642\) −0.735532 + 0.162587i −0.0290291 + 0.00641679i
\(643\) 39.1531i 1.54405i −0.635594 0.772024i \(-0.719245\pi\)
0.635594 0.772024i \(-0.280755\pi\)
\(644\) 3.98314 0.142344i 0.156958 0.00560914i
\(645\) 13.2552 + 6.02751i 0.521922 + 0.237333i
\(646\) −15.4686 + 31.7482i −0.608604 + 1.24911i
\(647\) 2.07945 6.39988i 0.0817515 0.251605i −0.901824 0.432104i \(-0.857771\pi\)
0.983575 + 0.180499i \(0.0577713\pi\)
\(648\) −23.6296 + 9.46795i −0.928258 + 0.371936i
\(649\) −25.9594 −1.01900
\(650\) −29.8736 14.4187i −1.17174 0.565547i
\(651\) 0.137842 + 3.23316i 0.00540246 + 0.126718i
\(652\) −7.21369 19.7693i −0.282510 0.774226i
\(653\) −26.7002 8.67542i −1.04486 0.339495i −0.264210 0.964465i \(-0.585111\pi\)
−0.780649 + 0.624970i \(0.785111\pi\)
\(654\) −19.8203 8.63266i −0.775034 0.337564i
\(655\) −3.27714 + 0.525268i −0.128048 + 0.0205239i
\(656\) −5.95888 1.47541i −0.232655 0.0576049i
\(657\) −28.0902 + 2.39955i −1.09590 + 0.0936154i
\(658\) −3.06439 + 0.541623i −0.119462 + 0.0211146i
\(659\) 10.1120 + 7.34678i 0.393906 + 0.286190i 0.767054 0.641582i \(-0.221722\pi\)
−0.373148 + 0.927772i \(0.621722\pi\)
\(660\) −13.6012 5.60767i −0.529425 0.218278i
\(661\) 18.2915 13.2896i 0.711457 0.516904i −0.172186 0.985064i \(-0.555083\pi\)
0.883644 + 0.468160i \(0.155083\pi\)
\(662\) 35.1018 36.3787i 1.36427 1.41390i
\(663\) −30.6428 20.3272i −1.19007 0.789444i
\(664\) −7.09556 + 1.51727i −0.275361 + 0.0588816i
\(665\) −3.77498 + 0.605063i −0.146387 + 0.0234633i
\(666\) −13.2108 10.7339i −0.511907 0.415928i
\(667\) −41.7892 + 13.5781i −1.61808 + 0.525747i
\(668\) −9.64550 2.75730i −0.373196 0.106683i
\(669\) −12.4127 33.3033i −0.479902 1.28758i
\(670\) −12.7875 16.8900i −0.494023 0.652519i
\(671\) −5.56271 + 17.1202i −0.214746 + 0.660920i
\(672\) 2.50027 1.72211i 0.0964499 0.0664320i
\(673\) 12.8972 9.37034i 0.497149 0.361200i −0.310778 0.950483i \(-0.600590\pi\)
0.807927 + 0.589283i \(0.200590\pi\)
\(674\) 6.04346 + 0.846843i 0.232786 + 0.0326192i
\(675\) −11.1997 23.4428i −0.431077 0.902315i
\(676\) 17.3195 + 4.95103i 0.666136 + 0.190424i
\(677\) −23.1821 31.9074i −0.890960 1.22630i −0.973263 0.229694i \(-0.926228\pi\)
0.0823033 0.996607i \(-0.473772\pi\)
\(678\) 8.87711 20.3815i 0.340923 0.782748i
\(679\) −3.70045 1.20235i −0.142010 0.0461420i
\(680\) 28.5786 1.58583i 1.09594 0.0608139i
\(681\) 19.8092 7.38322i 0.759090 0.282926i
\(682\) 2.24751 16.0393i 0.0860617 0.614176i
\(683\) 7.28659 + 22.4258i 0.278814 + 0.858100i 0.988185 + 0.153265i \(0.0489789\pi\)
−0.709371 + 0.704835i \(0.751021\pi\)
\(684\) 24.2413 22.5495i 0.926890 0.862200i
\(685\) 28.8069 + 28.7005i 1.10066 + 1.09659i
\(686\) 2.86257 + 5.37842i 0.109293 + 0.205349i
\(687\) 3.00887 4.53580i 0.114796 0.173052i
\(688\) 13.9345 5.65635i 0.531249 0.215646i
\(689\) 2.09190 + 2.87925i 0.0796950 + 0.109691i
\(690\) −22.4405 27.1543i −0.854297 1.03374i
\(691\) 10.9643 15.0910i 0.417100 0.574089i −0.547832 0.836588i \(-0.684547\pi\)
0.964932 + 0.262500i \(0.0845468\pi\)
\(692\) −24.7653 + 0.885028i −0.941435 + 0.0336437i
\(693\) −0.150269 1.75911i −0.00570823 0.0668231i
\(694\) 3.74983 + 21.2158i 0.142341 + 0.805339i
\(695\) 22.1070 11.3157i 0.838568 0.429229i
\(696\) −21.2842 + 25.8301i −0.806774 + 0.979089i
\(697\) 2.14628 6.60557i 0.0812962 0.250204i
\(698\) −8.38258 + 4.46148i −0.317285 + 0.168870i
\(699\) −16.1319 + 0.687766i −0.610165 + 0.0260137i
\(700\) 1.91867 + 2.43306i 0.0725190 + 0.0919608i
\(701\) 22.0139i 0.831452i −0.909490 0.415726i \(-0.863528\pi\)
0.909490 0.415726i \(-0.136472\pi\)
\(702\) 19.9434 + 28.1180i 0.752715 + 1.06124i
\(703\) 21.0548 + 6.84113i 0.794098 + 0.258018i
\(704\) −13.8656 + 6.21400i −0.522578 + 0.234199i
\(705\) 20.2934 + 18.5647i 0.764293 + 0.699185i
\(706\) −18.6653 + 3.29903i −0.702477 + 0.124161i
\(707\) −2.71158 −0.101979
\(708\) −47.2020 + 3.70489i −1.77396 + 0.139238i
\(709\) −26.2223 19.0516i −0.984798 0.715498i −0.0260224 0.999661i \(-0.508284\pi\)
−0.958776 + 0.284164i \(0.908284\pi\)
\(710\) −7.67706 + 0.151348i −0.288115 + 0.00568001i
\(711\) 3.74041 + 4.32071i 0.140276 + 0.162039i
\(712\) 22.0199 12.7491i 0.825232 0.477794i
\(713\) 22.7947 31.3742i 0.853667 1.17497i
\(714\) 1.74152 + 2.96069i 0.0651746 + 0.110801i
\(715\) −3.08020 + 19.6834i −0.115193 + 0.736117i
\(716\) 26.6369 + 34.0365i 0.995469 + 1.27200i
\(717\) 37.2784 13.8943i 1.39219 0.518891i
\(718\) 34.3632 + 4.81515i 1.28242 + 0.179700i
\(719\) −11.1789 34.4052i −0.416903 1.28310i −0.910538 0.413426i \(-0.864332\pi\)
0.493634 0.869669i \(-0.335668\pi\)
\(720\) −25.5314 8.25528i −0.951498 0.307656i
\(721\) 0.447138 1.37615i 0.0166523 0.0512505i
\(722\) −7.09112 + 14.5540i −0.263904 + 0.541644i
\(723\) −8.65127 10.8991i −0.321744 0.405340i
\(724\) 42.2217 + 12.0697i 1.56916 + 0.448565i
\(725\) −27.7099 19.9761i −1.02912 0.741895i
\(726\) 1.74674 18.0239i 0.0648277 0.668929i
\(727\) −9.73296 13.3963i −0.360976 0.496840i 0.589445 0.807809i \(-0.299347\pi\)
−0.950420 + 0.310969i \(0.899347\pi\)
\(728\) −3.05867 2.74728i −0.113362 0.101821i
\(729\) −1.57889 + 26.9538i −0.0584774 + 0.998289i
\(730\) −24.3816 16.9902i −0.902404 0.628837i
\(731\) 5.25793 + 16.1822i 0.194472 + 0.598522i
\(732\) −7.67129 + 31.9237i −0.283539 + 1.17993i
\(733\) −2.17150 6.68320i −0.0802063 0.246850i 0.902911 0.429829i \(-0.141426\pi\)
−0.983117 + 0.182979i \(0.941426\pi\)
\(734\) −30.8113 + 31.9321i −1.13727 + 1.17864i
\(735\) 11.0684 24.3406i 0.408264 0.897818i
\(736\) −36.2986 2.46395i −1.33798 0.0908224i
\(737\) −7.47882 + 10.2937i −0.275486 + 0.379174i
\(738\) −4.10594 + 5.05341i −0.151142 + 0.186019i
\(739\) 13.1867 + 18.1499i 0.485081 + 0.667656i 0.979471 0.201584i \(-0.0646088\pi\)
−0.494391 + 0.869240i \(0.664609\pi\)
\(740\) −3.47053 17.6037i −0.127579 0.647123i
\(741\) −37.3617 24.7843i −1.37252 0.910474i
\(742\) −0.0578618 0.327371i −0.00212417 0.0120182i
\(743\) −45.8197 −1.68096 −0.840480 0.541842i \(-0.817727\pi\)
−0.840480 + 0.541842i \(0.817727\pi\)
\(744\) 1.79755 29.4850i 0.0659012 1.08097i
\(745\) 22.8736 + 3.57943i 0.838023 + 0.131140i
\(746\) −1.96089 + 4.02457i −0.0717932 + 0.147350i
\(747\) −1.74662 + 7.49530i −0.0639055 + 0.274239i
\(748\) −5.89282 16.1494i −0.215463 0.590482i
\(749\) 0.0952894i 0.00348180i
\(750\) 6.72599 26.5473i 0.245599 0.969372i
\(751\) 12.7397i 0.464880i 0.972611 + 0.232440i \(0.0746709\pi\)
−0.972611 + 0.232440i \(0.925329\pi\)
\(752\) 28.3335 2.02768i 1.03322 0.0739418i
\(753\) −44.8093 12.4762i −1.63294 0.454658i
\(754\) 40.7458 + 19.8525i 1.48387 + 0.722986i
\(755\) −42.6553 6.67502i −1.55239 0.242929i
\(756\) −0.524292 3.17715i −0.0190683 0.115552i
\(757\) 8.77358 0.318881 0.159441 0.987208i \(-0.449031\pi\)
0.159441 + 0.987208i \(0.449031\pi\)
\(758\) −24.3795 + 4.30901i −0.885504 + 0.156510i
\(759\) −11.6957 + 17.6310i −0.424527 + 0.639965i
\(760\) 34.8450 1.93355i 1.26396 0.0701373i
\(761\) 19.8575 + 27.3316i 0.719836 + 0.990769i 0.999529 + 0.0306793i \(0.00976707\pi\)
−0.279694 + 0.960089i \(0.590233\pi\)
\(762\) 25.1540 + 22.2821i 0.911234 + 0.807196i
\(763\) 1.60743 2.21243i 0.0581928 0.0800955i
\(764\) 9.91255 3.61702i 0.358624 0.130859i
\(765\) 11.3782 28.1460i 0.411381 1.01762i
\(766\) 21.7105 + 20.9485i 0.784432 + 0.756900i
\(767\) 19.8136 + 60.9799i 0.715427 + 2.20186i
\(768\) −24.3249 + 13.2778i −0.877749 + 0.479121i
\(769\) −5.09067 15.6675i −0.183574 0.564984i 0.816346 0.577563i \(-0.195996\pi\)
−0.999921 + 0.0125785i \(0.995996\pi\)
\(770\) 1.06399 1.52686i 0.0383436 0.0550244i
\(771\) −1.80255 + 6.47400i −0.0649172 + 0.233155i
\(772\) 2.92610 4.34576i 0.105313 0.156407i
\(773\) 8.59165 + 11.8254i 0.309020 + 0.425330i 0.935075 0.354449i \(-0.115332\pi\)
−0.626055 + 0.779779i \(0.715332\pi\)
\(774\) 0.860982 15.9278i 0.0309474