Properties

Label 441.2.z.a.331.11
Level $441$
Weight $2$
Character 441.331
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 331.11
Character \(\chi\) \(=\) 441.331
Dual form 441.2.z.a.4.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.132809 - 1.77221i) q^{2} +(1.41906 + 0.993117i) q^{3} +(-1.14543 + 0.172646i) q^{4} +(-0.788881 - 3.45631i) q^{5} +(1.57155 - 2.64676i) q^{6} +(2.57823 + 0.593925i) q^{7} +(-0.332830 - 1.45822i) q^{8} +(1.02744 + 2.81858i) q^{9} +O(q^{10})\) \(q+(-0.132809 - 1.77221i) q^{2} +(1.41906 + 0.993117i) q^{3} +(-1.14543 + 0.172646i) q^{4} +(-0.788881 - 3.45631i) q^{5} +(1.57155 - 2.64676i) q^{6} +(2.57823 + 0.593925i) q^{7} +(-0.332830 - 1.45822i) q^{8} +(1.02744 + 2.81858i) q^{9} +(-6.02055 + 1.85709i) q^{10} +(1.33579 + 0.643285i) q^{11} +(-1.79689 - 0.892556i) q^{12} +(-0.172992 - 2.30842i) q^{13} +(0.710149 - 4.64804i) q^{14} +(2.31306 - 5.68815i) q^{15} +(-4.75390 + 1.46638i) q^{16} +(0.421630 + 0.0635504i) q^{17} +(4.85866 - 2.19517i) q^{18} +(-2.91097 + 5.04194i) q^{19} +(1.50033 + 3.82278i) q^{20} +(3.06881 + 3.40329i) q^{21} +(0.962631 - 2.45274i) q^{22} +(1.15315 + 1.44601i) q^{23} +(0.975883 - 2.39984i) q^{24} +(-6.81893 + 3.28382i) q^{25} +(-4.06804 + 0.613158i) q^{26} +(-1.34119 + 5.02008i) q^{27} +(-3.05573 - 0.235180i) q^{28} +(-3.05029 - 7.77201i) q^{29} +(-10.3878 - 3.34379i) q^{30} +(3.82249 - 6.62074i) q^{31} +(2.13720 + 5.44550i) q^{32} +(1.25671 + 2.23946i) q^{33} +(0.0566287 - 0.755657i) q^{34} +(0.0188767 - 9.37970i) q^{35} +(-1.66348 - 3.05111i) q^{36} +(-1.11492 - 2.84076i) q^{37} +(9.32199 + 4.48923i) q^{38} +(2.04705 - 3.44758i) q^{39} +(-4.77752 + 2.30073i) q^{40} +(-1.79590 + 1.66635i) q^{41} +(5.62379 - 5.89057i) q^{42} +(8.01694 + 7.43863i) q^{43} +(-1.64112 - 0.506220i) q^{44} +(8.93136 - 5.77466i) q^{45} +(2.40948 - 2.23567i) q^{46} +(-0.218989 - 2.92221i) q^{47} +(-8.20233 - 2.64030i) q^{48} +(6.29451 + 3.06255i) q^{49} +(6.72524 + 11.6485i) q^{50} +(0.535203 + 0.508909i) q^{51} +(0.596692 + 2.61428i) q^{52} +(-3.69994 + 9.42729i) q^{53} +(9.07477 + 1.71016i) q^{54} +(1.16961 - 5.12440i) q^{55} +(0.00796409 - 3.95731i) q^{56} +(-9.13806 + 4.26386i) q^{57} +(-13.3685 + 6.43795i) q^{58} +(1.66840 + 1.54805i) q^{59} +(-1.66742 + 6.91474i) q^{60} +(-5.36407 - 0.808503i) q^{61} +(-12.2410 - 5.89496i) q^{62} +(0.974939 + 7.87715i) q^{63} +(0.402244 - 0.193711i) q^{64} +(-7.84216 + 2.41899i) q^{65} +(3.80189 - 2.52457i) q^{66} +(-2.30338 + 3.98958i) q^{67} -0.493921 q^{68} +(0.200332 + 3.19718i) q^{69} +(-16.6253 + 1.21225i) q^{70} +(9.09991 + 11.4109i) q^{71} +(3.76816 - 2.43634i) q^{72} +(4.11216 + 2.80362i) q^{73} +(-4.88636 + 2.35315i) q^{74} +(-12.9377 - 2.11207i) q^{75} +(2.46385 - 6.27778i) q^{76} +(3.06192 + 2.45190i) q^{77} +(-6.38170 - 3.16993i) q^{78} +(2.85886 + 4.95169i) q^{79} +(8.81854 + 15.2742i) q^{80} +(-6.88875 + 5.79181i) q^{81} +(3.19164 + 2.96141i) q^{82} +(-0.721157 + 9.62317i) q^{83} +(-4.10268 - 3.36843i) q^{84} +(-0.112965 - 1.50742i) q^{85} +(12.1181 - 15.1956i) q^{86} +(3.38999 - 14.0582i) q^{87} +(0.493461 - 2.16199i) q^{88} +(-0.179417 + 2.39415i) q^{89} +(-11.4201 - 15.0613i) q^{90} +(0.925016 - 6.05438i) q^{91} +(-1.57051 - 1.45722i) q^{92} +(11.9995 - 5.59902i) q^{93} +(-5.14969 + 0.776191i) q^{94} +(19.7229 + 6.08372i) q^{95} +(-2.37521 + 9.84996i) q^{96} +(-2.09625 + 3.63080i) q^{97} +(4.59151 - 11.5619i) q^{98} +(-0.440704 + 4.42597i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.132809 1.77221i −0.0939101 1.25314i −0.822728 0.568435i \(-0.807549\pi\)
0.728818 0.684708i \(-0.240070\pi\)
\(3\) 1.41906 + 0.993117i 0.819292 + 0.573377i
\(4\) −1.14543 + 0.172646i −0.572717 + 0.0863232i
\(5\) −0.788881 3.45631i −0.352798 1.54571i −0.770688 0.637213i \(-0.780087\pi\)
0.417889 0.908498i \(-0.362770\pi\)
\(6\) 1.57155 2.64676i 0.641583 1.08054i
\(7\) 2.57823 + 0.593925i 0.974478 + 0.224483i
\(8\) −0.332830 1.45822i −0.117673 0.515560i
\(9\) 1.02744 + 2.81858i 0.342479 + 0.939526i
\(10\) −6.02055 + 1.85709i −1.90386 + 0.587265i
\(11\) 1.33579 + 0.643285i 0.402757 + 0.193958i 0.624285 0.781196i \(-0.285390\pi\)
−0.221528 + 0.975154i \(0.571105\pi\)
\(12\) −1.79689 0.892556i −0.518718 0.257659i
\(13\) −0.172992 2.30842i −0.0479794 0.640241i −0.968415 0.249346i \(-0.919785\pi\)
0.920435 0.390895i \(-0.127835\pi\)
\(14\) 0.710149 4.64804i 0.189795 1.24224i
\(15\) 2.31306 5.68815i 0.597229 1.46867i
\(16\) −4.75390 + 1.46638i −1.18847 + 0.366596i
\(17\) 0.421630 + 0.0635504i 0.102260 + 0.0154132i 0.199973 0.979801i \(-0.435915\pi\)
−0.0977128 + 0.995215i \(0.531153\pi\)
\(18\) 4.85866 2.19517i 1.14520 0.517405i
\(19\) −2.91097 + 5.04194i −0.667821 + 1.15670i 0.310691 + 0.950511i \(0.399440\pi\)
−0.978512 + 0.206189i \(0.933894\pi\)
\(20\) 1.50033 + 3.82278i 0.335484 + 0.854800i
\(21\) 3.06881 + 3.40329i 0.669669 + 0.742660i
\(22\) 0.962631 2.45274i 0.205234 0.522927i
\(23\) 1.15315 + 1.44601i 0.240449 + 0.301513i 0.887383 0.461032i \(-0.152521\pi\)
−0.646935 + 0.762546i \(0.723949\pi\)
\(24\) 0.975883 2.39984i 0.199201 0.489865i
\(25\) −6.81893 + 3.28382i −1.36379 + 0.656765i
\(26\) −4.06804 + 0.613158i −0.797807 + 0.120250i
\(27\) −1.34119 + 5.02008i −0.258112 + 0.966115i
\(28\) −3.05573 0.235180i −0.577478 0.0444449i
\(29\) −3.05029 7.77201i −0.566424 1.44323i −0.871261 0.490821i \(-0.836697\pi\)
0.304836 0.952405i \(-0.401398\pi\)
\(30\) −10.3878 3.34379i −1.89654 0.610490i
\(31\) 3.82249 6.62074i 0.686539 1.18912i −0.286412 0.958107i \(-0.592462\pi\)
0.972951 0.231014i \(-0.0742042\pi\)
\(32\) 2.13720 + 5.44550i 0.377807 + 0.962637i
\(33\) 1.25671 + 2.23946i 0.218765 + 0.389839i
\(34\) 0.0566287 0.755657i 0.00971174 0.129594i
\(35\) 0.0188767 9.37970i 0.00319074 1.58546i
\(36\) −1.66348 3.05111i −0.277246 0.508518i
\(37\) −1.11492 2.84076i −0.183291 0.467018i 0.809464 0.587169i \(-0.199758\pi\)
−0.992756 + 0.120150i \(0.961662\pi\)
\(38\) 9.32199 + 4.48923i 1.51223 + 0.728250i
\(39\) 2.04705 3.44758i 0.327790 0.552054i
\(40\) −4.77752 + 2.30073i −0.755392 + 0.363778i
\(41\) −1.79590 + 1.66635i −0.280473 + 0.260241i −0.807847 0.589392i \(-0.799367\pi\)
0.527374 + 0.849633i \(0.323177\pi\)
\(42\) 5.62379 5.89057i 0.867770 0.908934i
\(43\) 8.01694 + 7.43863i 1.22257 + 1.13438i 0.986692 + 0.162598i \(0.0519875\pi\)
0.235879 + 0.971782i \(0.424203\pi\)
\(44\) −1.64112 0.506220i −0.247409 0.0763155i
\(45\) 8.93136 5.77466i 1.33141 0.860836i
\(46\) 2.40948 2.23567i 0.355259 0.329632i
\(47\) −0.218989 2.92221i −0.0319429 0.426248i −0.990134 0.140121i \(-0.955251\pi\)
0.958192 0.286127i \(-0.0923681\pi\)
\(48\) −8.20233 2.64030i −1.18390 0.381094i
\(49\) 6.29451 + 3.06255i 0.899215 + 0.437507i
\(50\) 6.72524 + 11.6485i 0.951093 + 1.64734i
\(51\) 0.535203 + 0.508909i 0.0749434 + 0.0712616i
\(52\) 0.596692 + 2.61428i 0.0827462 + 0.362535i
\(53\) −3.69994 + 9.42729i −0.508226 + 1.29494i 0.414699 + 0.909959i \(0.363887\pi\)
−0.922925 + 0.384980i \(0.874208\pi\)
\(54\) 9.07477 + 1.71016i 1.23492 + 0.232723i
\(55\) 1.16961 5.12440i 0.157710 0.690974i
\(56\) 0.00796409 3.95731i 0.00106425 0.528818i
\(57\) −9.13806 + 4.26386i −1.21037 + 0.564762i
\(58\) −13.3685 + 6.43795i −1.75537 + 0.845344i
\(59\) 1.66840 + 1.54805i 0.217207 + 0.201538i 0.781270 0.624193i \(-0.214572\pi\)
−0.564063 + 0.825732i \(0.690763\pi\)
\(60\) −1.66742 + 6.91474i −0.215263 + 0.892690i
\(61\) −5.36407 0.808503i −0.686798 0.103518i −0.203633 0.979047i \(-0.565275\pi\)
−0.483165 + 0.875529i \(0.660513\pi\)
\(62\) −12.2410 5.89496i −1.55461 0.748661i
\(63\) 0.974939 + 7.87715i 0.122831 + 0.992428i
\(64\) 0.402244 0.193711i 0.0502805 0.0242138i
\(65\) −7.84216 + 2.41899i −0.972700 + 0.300038i
\(66\) 3.80189 2.52457i 0.467980 0.310754i
\(67\) −2.30338 + 3.98958i −0.281403 + 0.487405i −0.971731 0.236093i \(-0.924133\pi\)
0.690327 + 0.723497i \(0.257466\pi\)
\(68\) −0.493921 −0.0598967
\(69\) 0.200332 + 3.19718i 0.0241171 + 0.384895i
\(70\) −16.6253 + 1.21225i −1.98711 + 0.144892i
\(71\) 9.09991 + 11.4109i 1.07996 + 1.35423i 0.930847 + 0.365408i \(0.119071\pi\)
0.149114 + 0.988820i \(0.452358\pi\)
\(72\) 3.76816 2.43634i 0.444081 0.287125i
\(73\) 4.11216 + 2.80362i 0.481291 + 0.328139i 0.779543 0.626348i \(-0.215451\pi\)
−0.298252 + 0.954487i \(0.596404\pi\)
\(74\) −4.88636 + 2.35315i −0.568028 + 0.273548i
\(75\) −12.9377 2.11207i −1.49391 0.243881i
\(76\) 2.46385 6.27778i 0.282623 0.720111i
\(77\) 3.06192 + 2.45190i 0.348938 + 0.279419i
\(78\) −6.38170 3.16993i −0.722586 0.358924i
\(79\) 2.85886 + 4.95169i 0.321647 + 0.557109i 0.980828 0.194875i \(-0.0624302\pi\)
−0.659181 + 0.751984i \(0.729097\pi\)
\(80\) 8.81854 + 15.2742i 0.985943 + 1.70770i
\(81\) −6.88875 + 5.79181i −0.765417 + 0.643535i
\(82\) 3.19164 + 2.96141i 0.352458 + 0.327033i
\(83\) −0.721157 + 9.62317i −0.0791573 + 1.05628i 0.806284 + 0.591529i \(0.201475\pi\)
−0.885441 + 0.464752i \(0.846144\pi\)
\(84\) −4.10268 3.36843i −0.447640 0.367526i
\(85\) −0.112965 1.50742i −0.0122528 0.163502i
\(86\) 12.1181 15.1956i 1.30673 1.63859i
\(87\) 3.38999 14.0582i 0.363445 1.50720i
\(88\) 0.493461 2.16199i 0.0526031 0.230469i
\(89\) −0.179417 + 2.39415i −0.0190182 + 0.253780i 0.979589 + 0.201013i \(0.0644232\pi\)
−0.998607 + 0.0527673i \(0.983196\pi\)
\(90\) −11.4201 15.0613i −1.20378 1.58760i
\(91\) 0.925016 6.05438i 0.0969680 0.634671i
\(92\) −1.57051 1.45722i −0.163737 0.151925i
\(93\) 11.9995 5.59902i 1.24429 0.580591i
\(94\) −5.14969 + 0.776191i −0.531150 + 0.0800580i
\(95\) 19.7229 + 6.08372i 2.02353 + 0.624177i
\(96\) −2.37521 + 9.84996i −0.242419 + 1.00531i
\(97\) −2.09625 + 3.63080i −0.212841 + 0.368652i −0.952603 0.304217i \(-0.901605\pi\)
0.739761 + 0.672869i \(0.234938\pi\)
\(98\) 4.59151 11.5619i 0.463813 1.16793i
\(99\) −0.440704 + 4.42597i −0.0442925 + 0.444827i
\(100\) 7.24369 4.93867i 0.724369 0.493867i
\(101\) −2.88409 12.6360i −0.286978 1.25733i −0.888649 0.458588i \(-0.848355\pi\)
0.601671 0.798744i \(-0.294502\pi\)
\(102\) 0.830815 1.01608i 0.0822630 0.100607i
\(103\) −2.92118 12.7985i −0.287832 1.26108i −0.887493 0.460821i \(-0.847555\pi\)
0.599661 0.800254i \(-0.295302\pi\)
\(104\) −3.30862 + 1.02057i −0.324437 + 0.100075i
\(105\) 9.34193 13.2916i 0.911679 1.29712i
\(106\) 17.1985 + 5.30505i 1.67047 + 0.515272i
\(107\) −0.0776789 + 1.03655i −0.00750951 + 0.100207i −0.999699 0.0245320i \(-0.992190\pi\)
0.992190 + 0.124739i \(0.0398095\pi\)
\(108\) 0.669545 5.98172i 0.0644270 0.575591i
\(109\) 1.35858 + 18.1290i 0.130128 + 1.73644i 0.555583 + 0.831461i \(0.312495\pi\)
−0.425455 + 0.904980i \(0.639886\pi\)
\(110\) −9.23685 1.39223i −0.880700 0.132744i
\(111\) 1.23908 5.13844i 0.117608 0.487719i
\(112\) −13.1275 + 0.957210i −1.24044 + 0.0904478i
\(113\) 11.0537 + 7.53629i 1.03985 + 0.708955i 0.957730 0.287668i \(-0.0928800\pi\)
0.0821153 + 0.996623i \(0.473832\pi\)
\(114\) 8.77008 + 15.6283i 0.821393 + 1.46372i
\(115\) 4.08815 5.12638i 0.381222 0.478038i
\(116\) 4.83571 + 8.37570i 0.448985 + 0.777664i
\(117\) 6.32872 2.85935i 0.585091 0.264347i
\(118\) 2.52189 3.16235i 0.232159 0.291118i
\(119\) 1.04931 + 0.414264i 0.0961903 + 0.0379755i
\(120\) −9.06446 1.47977i −0.827468 0.135084i
\(121\) −5.48786 6.88155i −0.498896 0.625596i
\(122\) −0.720442 + 9.61364i −0.0652258 + 0.870378i
\(123\) −4.20337 + 0.581107i −0.379005 + 0.0523966i
\(124\) −3.23536 + 8.24356i −0.290544 + 0.740294i
\(125\) 5.67727 + 7.11907i 0.507791 + 0.636749i
\(126\) 13.8305 2.77395i 1.23212 0.247123i
\(127\) 2.60677 3.26878i 0.231313 0.290058i −0.652606 0.757698i \(-0.726324\pi\)
0.883919 + 0.467640i \(0.154896\pi\)
\(128\) 5.45316 + 9.44515i 0.481996 + 0.834841i
\(129\) 3.98904 + 18.5176i 0.351216 + 1.63038i
\(130\) 5.32846 + 13.5767i 0.467337 + 1.19076i
\(131\) 1.47342 6.45546i 0.128733 0.564017i −0.868884 0.495017i \(-0.835162\pi\)
0.997617 0.0690000i \(-0.0219809\pi\)
\(132\) −1.82611 2.34818i −0.158943 0.204383i
\(133\) −10.4997 + 11.2704i −0.910436 + 0.977265i
\(134\) 7.37629 + 3.55223i 0.637214 + 0.306866i
\(135\) 18.4090 + 0.675326i 1.58440 + 0.0581228i
\(136\) −0.0476603 0.635982i −0.00408683 0.0545350i
\(137\) 2.78718 12.2114i 0.238125 1.04329i −0.704569 0.709635i \(-0.748860\pi\)
0.942694 0.333658i \(-0.108283\pi\)
\(138\) 5.63947 0.779644i 0.480064 0.0663677i
\(139\) 10.8927 10.1070i 0.923909 0.857262i −0.0661650 0.997809i \(-0.521076\pi\)
0.990074 + 0.140546i \(0.0448859\pi\)
\(140\) 1.59775 + 10.7471i 0.135034 + 0.908294i
\(141\) 2.59134 4.36426i 0.218230 0.367537i
\(142\) 19.0140 17.6424i 1.59562 1.48052i
\(143\) 1.25389 3.19486i 0.104856 0.267167i
\(144\) −9.01744 11.8926i −0.751453 0.991051i
\(145\) −24.4562 + 16.6739i −2.03098 + 1.38470i
\(146\) 4.42248 7.65995i 0.366007 0.633942i
\(147\) 5.89078 + 10.5971i 0.485864 + 0.874035i
\(148\) 1.76751 + 3.06142i 0.145288 + 0.251647i
\(149\) −13.0229 6.27149i −1.06688 0.513781i −0.183778 0.982968i \(-0.558833\pi\)
−0.883099 + 0.469187i \(0.844547\pi\)
\(150\) −2.02480 + 23.2088i −0.165324 + 1.89499i
\(151\) 2.55870 + 3.20850i 0.208224 + 0.261104i 0.874966 0.484184i \(-0.160883\pi\)
−0.666743 + 0.745288i \(0.732312\pi\)
\(152\) 8.32114 + 2.56673i 0.674933 + 0.208189i
\(153\) 0.254076 + 1.25369i 0.0205408 + 0.101355i
\(154\) 3.93863 5.75200i 0.317384 0.463509i
\(155\) −25.8989 7.98874i −2.08025 0.641671i
\(156\) −1.74955 + 4.30239i −0.140076 + 0.344467i
\(157\) −17.6455 16.3726i −1.40826 1.30668i −0.893296 0.449469i \(-0.851613\pi\)
−0.514969 0.857209i \(-0.672196\pi\)
\(158\) 8.39576 5.72413i 0.667931 0.455388i
\(159\) −14.6128 + 9.70338i −1.15887 + 0.769528i
\(160\) 17.1354 11.6827i 1.35467 0.923598i
\(161\) 2.11427 + 4.41302i 0.166628 + 0.347795i
\(162\) 11.1792 + 11.4391i 0.878321 + 0.898742i
\(163\) 15.7554 + 14.6189i 1.23406 + 1.14504i 0.984258 + 0.176740i \(0.0565551\pi\)
0.249799 + 0.968298i \(0.419635\pi\)
\(164\) 1.76940 2.21875i 0.138167 0.173256i
\(165\) 6.74887 6.11025i 0.525399 0.475682i
\(166\) 17.1501 1.33110
\(167\) −7.79189 1.17444i −0.602954 0.0908808i −0.159531 0.987193i \(-0.550998\pi\)
−0.443424 + 0.896312i \(0.646236\pi\)
\(168\) 3.94137 5.60773i 0.304084 0.432646i
\(169\) 7.55592 1.13887i 0.581225 0.0876055i
\(170\) −2.65646 + 0.400397i −0.203741 + 0.0307091i
\(171\) −17.2019 3.02451i −1.31546 0.231290i
\(172\) −10.4671 7.13637i −0.798111 0.544143i
\(173\) −2.59527 + 6.61263i −0.197314 + 0.502749i −0.994948 0.100394i \(-0.967990\pi\)
0.797633 + 0.603143i \(0.206085\pi\)
\(174\) −25.3643 4.14072i −1.92286 0.313907i
\(175\) −19.5311 + 4.41651i −1.47641 + 0.333857i
\(176\) −7.29353 1.09932i −0.549770 0.0828646i
\(177\) 0.830156 + 3.85368i 0.0623983 + 0.289660i
\(178\) 4.26678 0.319808
\(179\) −18.8145 2.83584i −1.40626 0.211960i −0.598338 0.801244i \(-0.704172\pi\)
−0.807926 + 0.589283i \(0.799410\pi\)
\(180\) −9.23331 + 8.15646i −0.688210 + 0.607947i
\(181\) 7.07131 3.40536i 0.525606 0.253119i −0.152212 0.988348i \(-0.548640\pi\)
0.677819 + 0.735229i \(0.262926\pi\)
\(182\) −10.8525 0.835248i −0.804440 0.0619127i
\(183\) −6.80897 6.47446i −0.503333 0.478606i
\(184\) 1.72480 2.16283i 0.127154 0.159446i
\(185\) −8.93903 + 6.09453i −0.657210 + 0.448078i
\(186\) −11.5163 20.5220i −0.844415 1.50475i
\(187\) 0.522329 + 0.356118i 0.0381965 + 0.0260419i
\(188\) 0.755347 + 3.30939i 0.0550893 + 0.241362i
\(189\) −6.43944 + 12.1463i −0.468400 + 0.883516i
\(190\) 8.16226 35.7612i 0.592152 2.59439i
\(191\) −12.2124 + 11.3314i −0.883655 + 0.819912i −0.984571 0.174983i \(-0.944013\pi\)
0.100916 + 0.994895i \(0.467823\pi\)
\(192\) 0.763184 + 0.124590i 0.0550780 + 0.00899148i
\(193\) 22.6020 + 6.97178i 1.62692 + 0.501840i 0.968123 0.250476i \(-0.0805872\pi\)
0.658802 + 0.752316i \(0.271063\pi\)
\(194\) 6.71295 + 3.23279i 0.481962 + 0.232101i
\(195\) −13.5308 4.35551i −0.968960 0.311904i
\(196\) −7.73868 2.42122i −0.552763 0.172944i
\(197\) −16.5925 −1.18216 −0.591082 0.806611i \(-0.701299\pi\)
−0.591082 + 0.806611i \(0.701299\pi\)
\(198\) 7.90229 + 0.193213i 0.561591 + 0.0137310i
\(199\) 13.4107 12.4434i 0.950663 0.882086i −0.0424677 0.999098i \(-0.513522\pi\)
0.993131 + 0.117012i \(0.0373315\pi\)
\(200\) 7.05810 + 8.85057i 0.499083 + 0.625830i
\(201\) −7.23075 + 3.37390i −0.510018 + 0.237977i
\(202\) −22.0107 + 6.78940i −1.54867 + 0.477701i
\(203\) −3.24835 21.8496i −0.227989 1.53354i
\(204\) −0.700901 0.490521i −0.0490729 0.0343434i
\(205\) 7.17620 + 4.89265i 0.501207 + 0.341717i
\(206\) −22.2937 + 6.87670i −1.55328 + 0.479122i
\(207\) −2.89089 + 4.73593i −0.200931 + 0.329170i
\(208\) 4.20742 + 10.7203i 0.291732 + 0.743321i
\(209\) −7.13185 + 4.86242i −0.493321 + 0.336340i
\(210\) −24.7962 14.7906i −1.71110 1.02065i
\(211\) −12.0497 8.21534i −0.829534 0.565567i 0.0724319 0.997373i \(-0.476924\pi\)
−0.901966 + 0.431806i \(0.857876\pi\)
\(212\) 2.61045 11.4371i 0.179286 0.785505i
\(213\) 1.58089 + 25.2300i 0.108321 + 1.72873i
\(214\) 1.84731 0.126279
\(215\) 19.3858 33.5773i 1.32210 2.28995i
\(216\) 7.76679 + 0.284921i 0.528463 + 0.0193864i
\(217\) 13.7875 14.7995i 0.935954 1.00466i
\(218\) 31.9479 4.81538i 2.16379 0.326138i
\(219\) 3.05105 + 8.06234i 0.206171 + 0.544803i
\(220\) −0.455003 + 6.07159i −0.0306763 + 0.409347i
\(221\) 0.0737625 0.984292i 0.00496180 0.0662107i
\(222\) −9.27097 1.51348i −0.622226 0.101578i
\(223\) −20.5218 + 3.09316i −1.37424 + 0.207133i −0.794299 0.607527i \(-0.792162\pi\)
−0.579939 + 0.814660i \(0.696924\pi\)
\(224\) 2.27597 + 15.3091i 0.152070 + 1.02288i
\(225\) −16.2617 15.8458i −1.08411 1.05638i
\(226\) 11.8879 20.5904i 0.790769 1.36965i
\(227\) −14.1137 −0.936760 −0.468380 0.883527i \(-0.655162\pi\)
−0.468380 + 0.883527i \(0.655162\pi\)
\(228\) 9.73090 6.46163i 0.644445 0.427932i
\(229\) −1.70060 + 7.45081i −0.112379 + 0.492363i 0.887145 + 0.461491i \(0.152686\pi\)
−0.999523 + 0.0308718i \(0.990172\pi\)
\(230\) −9.62798 6.56424i −0.634850 0.432833i
\(231\) 1.91001 + 6.52022i 0.125669 + 0.428999i
\(232\) −10.3181 + 7.03476i −0.677417 + 0.461855i
\(233\) −9.26266 23.6009i −0.606817 1.54614i −0.821950 0.569559i \(-0.807114\pi\)
0.215134 0.976585i \(-0.430981\pi\)
\(234\) −5.90788 10.8361i −0.386210 0.708377i
\(235\) −9.92732 + 3.06217i −0.647587 + 0.199754i
\(236\) −2.17830 1.48514i −0.141795 0.0966745i
\(237\) −0.860730 + 9.86591i −0.0559104 + 0.640860i
\(238\) 0.594805 1.91462i 0.0385555 0.124106i
\(239\) −5.61321 + 1.73145i −0.363088 + 0.111998i −0.470931 0.882170i \(-0.656082\pi\)
0.107843 + 0.994168i \(0.465606\pi\)
\(240\) −2.65504 + 30.4327i −0.171382 + 1.96442i
\(241\) −0.284282 0.356479i −0.0183122 0.0229628i 0.772591 0.634904i \(-0.218960\pi\)
−0.790903 + 0.611941i \(0.790389\pi\)
\(242\) −11.4667 + 10.6396i −0.737110 + 0.683938i
\(243\) −15.5275 + 1.37756i −0.996088 + 0.0883708i
\(244\) 6.28377 0.402277
\(245\) 5.61950 24.1718i 0.359017 1.54428i
\(246\) 1.58809 + 7.37209i 0.101253 + 0.470027i
\(247\) 12.1425 + 5.84752i 0.772609 + 0.372069i
\(248\) −10.9268 3.37046i −0.693850 0.214024i
\(249\) −10.5803 + 12.9396i −0.670499 + 0.820015i
\(250\) 11.8625 11.0068i 0.750251 0.696131i
\(251\) −1.56318 + 6.84872i −0.0986667 + 0.432287i −1.00000 0.000839737i \(-0.999733\pi\)
0.901333 + 0.433127i \(0.142590\pi\)
\(252\) −2.47669 8.85444i −0.156017 0.557777i
\(253\) 0.610180 + 2.67337i 0.0383617 + 0.168073i
\(254\) −6.13918 4.18562i −0.385206 0.262629i
\(255\) 1.33674 2.25130i 0.0837099 0.140982i
\(256\) 16.7523 11.4216i 1.04702 0.713847i
\(257\) 10.0104 12.5526i 0.624432 0.783012i −0.364529 0.931192i \(-0.618770\pi\)
0.988960 + 0.148180i \(0.0473414\pi\)
\(258\) 32.2873 9.52873i 2.01012 0.593233i
\(259\) −1.18731 7.98630i −0.0737758 0.496245i
\(260\) 8.56504 4.12471i 0.531181 0.255804i
\(261\) 18.7720 16.5827i 1.16196 1.02644i
\(262\) −11.6361 1.75386i −0.718883 0.108354i
\(263\) −10.5300 −0.649308 −0.324654 0.945833i \(-0.605248\pi\)
−0.324654 + 0.945833i \(0.605248\pi\)
\(264\) 2.84736 2.57792i 0.175243 0.158660i
\(265\) 35.5025 + 5.35114i 2.18090 + 0.328718i
\(266\) 21.3679 + 17.1108i 1.31015 + 1.04913i
\(267\) −2.63228 + 3.21925i −0.161093 + 0.197015i
\(268\) 1.94959 4.96747i 0.119090 0.303437i
\(269\) 22.2986 + 15.2029i 1.35957 + 0.926940i 0.999981 0.00617064i \(-0.00196419\pi\)
0.359590 + 0.933110i \(0.382917\pi\)
\(270\) −1.24806 32.7144i −0.0759546 1.99093i
\(271\) 6.13721 0.925036i 0.372809 0.0561919i 0.0400344 0.999198i \(-0.487253\pi\)
0.332775 + 0.943006i \(0.392015\pi\)
\(272\) −2.09757 + 0.316158i −0.127184 + 0.0191699i
\(273\) 7.32536 7.67285i 0.443351 0.464382i
\(274\) −22.0114 3.31768i −1.32976 0.200429i
\(275\) −11.2211 −0.676659
\(276\) −0.781448 3.62757i −0.0470377 0.218354i
\(277\) −9.59136 + 12.0272i −0.576289 + 0.722643i −0.981475 0.191591i \(-0.938635\pi\)
0.405186 + 0.914234i \(0.367207\pi\)
\(278\) −19.3583 17.9619i −1.16104 1.07728i
\(279\) 22.5884 + 3.97159i 1.35233 + 0.237773i
\(280\) −13.6840 + 3.09432i −0.817775 + 0.184921i
\(281\) 15.5467 10.5996i 0.927438 0.632316i −0.00251437 0.999997i \(-0.500800\pi\)
0.929952 + 0.367680i \(0.119848\pi\)
\(282\) −8.07854 4.01279i −0.481070 0.238958i
\(283\) −14.4802 + 9.87242i −0.860757 + 0.586855i −0.911242 0.411870i \(-0.864876\pi\)
0.0504850 + 0.998725i \(0.483923\pi\)
\(284\) −12.3934 11.4994i −0.735413 0.682364i
\(285\) 21.9461 + 28.2203i 1.29997 + 1.67163i
\(286\) −5.82849 1.79785i −0.344646 0.106309i
\(287\) −5.61993 + 3.22961i −0.331734 + 0.190638i
\(288\) −13.1527 + 11.6188i −0.775032 + 0.684642i
\(289\) −16.0710 4.95725i −0.945353 0.291603i
\(290\) 32.7978 + 41.1271i 1.92595 + 2.41507i
\(291\) −6.58050 + 3.07049i −0.385756 + 0.179995i
\(292\) −5.19424 2.50141i −0.303970 0.146384i
\(293\) 0.461345 + 0.799073i 0.0269520 + 0.0466823i 0.879187 0.476477i \(-0.158087\pi\)
−0.852235 + 0.523160i \(0.824753\pi\)
\(294\) 17.9980 11.8471i 1.04966 0.690937i
\(295\) 4.03437 6.98773i 0.234890 0.406841i
\(296\) −3.77139 + 2.57129i −0.219208 + 0.149453i
\(297\) −5.02089 + 5.84303i −0.291342 + 0.339047i
\(298\) −9.38486 + 23.9122i −0.543650 + 1.38520i
\(299\) 3.13851 2.91211i 0.181504 0.168412i
\(300\) 15.1839 + 0.185597i 0.876642 + 0.0107155i
\(301\) 16.2515 + 23.9399i 0.936721 + 1.37988i
\(302\) 5.34633 4.96067i 0.307647 0.285454i
\(303\) 8.45638 20.7955i 0.485806 1.19467i
\(304\) 6.44502 28.2375i 0.369647 1.61953i
\(305\) 1.43717 + 19.1777i 0.0822922 + 1.09811i
\(306\) 2.18806 0.616777i 0.125083 0.0352588i
\(307\) −22.9428 11.0487i −1.30941 0.630580i −0.356634 0.934244i \(-0.616076\pi\)
−0.952779 + 0.303664i \(0.901790\pi\)
\(308\) −3.93054 2.27985i −0.223963 0.129907i
\(309\) 8.56512 21.0629i 0.487252 1.19822i
\(310\) −10.7181 + 46.9592i −0.608749 + 2.66710i
\(311\) 1.89190 + 4.82049i 0.107280 + 0.273345i 0.974426 0.224709i \(-0.0721432\pi\)
−0.867146 + 0.498054i \(0.834048\pi\)
\(312\) −5.70866 1.83760i −0.323189 0.104033i
\(313\) −9.08252 15.7314i −0.513375 0.889191i −0.999880 0.0155132i \(-0.995062\pi\)
0.486505 0.873678i \(-0.338272\pi\)
\(314\) −26.6723 + 33.4460i −1.50520 + 1.88747i
\(315\) 26.4568 9.58383i 1.49067 0.539988i
\(316\) −4.12953 5.17826i −0.232304 0.291300i
\(317\) 3.07133 7.82562i 0.172503 0.439531i −0.818309 0.574779i \(-0.805088\pi\)
0.990812 + 0.135248i \(0.0431833\pi\)
\(318\) 19.1371 + 24.6083i 1.07316 + 1.37997i
\(319\) 0.925055 12.3440i 0.0517932 0.691132i
\(320\) −0.986847 1.23747i −0.0551664 0.0691765i
\(321\) −1.13965 + 1.39378i −0.0636091 + 0.0777933i
\(322\) 7.54001 4.33302i 0.420188 0.241470i
\(323\) −1.54777 + 1.94084i −0.0861201 + 0.107991i
\(324\) 6.89067 7.82346i 0.382815 0.434637i
\(325\) 8.76007 + 15.1729i 0.485921 + 0.841640i
\(326\) 23.8153 29.8634i 1.31900 1.65398i
\(327\) −16.0763 + 27.0752i −0.889021 + 1.49726i
\(328\) 3.02765 + 2.06422i 0.167174 + 0.113977i
\(329\) 1.17097 7.66418i 0.0645576 0.422540i
\(330\) −11.7250 11.1489i −0.645438 0.613729i
\(331\) 9.61079 + 1.44859i 0.528257 + 0.0796219i 0.407755 0.913091i \(-0.366312\pi\)
0.120502 + 0.992713i \(0.461550\pi\)
\(332\) −0.835368 11.1472i −0.0458468 0.611783i
\(333\) 6.86140 6.06118i 0.376002 0.332151i
\(334\) −1.04652 + 13.9649i −0.0572631 + 0.764123i
\(335\) 15.6063 + 4.81392i 0.852665 + 0.263012i
\(336\) −19.5793 11.6789i −1.06814 0.637134i
\(337\) 13.6223 4.20192i 0.742053 0.228893i 0.0993968 0.995048i \(-0.468309\pi\)
0.642656 + 0.766155i \(0.277832\pi\)
\(338\) −3.02181 13.2394i −0.164365 0.720130i
\(339\) 8.20140 + 21.6720i 0.445439 + 1.17706i
\(340\) 0.389645 + 1.70714i 0.0211314 + 0.0925829i
\(341\) 9.36508 6.38500i 0.507147 0.345767i
\(342\) −3.07550 + 30.8871i −0.166304 + 1.67019i
\(343\) 14.4097 + 11.6344i 0.778053 + 0.628199i
\(344\) 8.17891 14.1663i 0.440978 0.763795i
\(345\) 10.8924 3.21460i 0.586428 0.173068i
\(346\) 12.0637 + 3.72114i 0.648546 + 0.200050i
\(347\) −29.2245 + 4.40488i −1.56885 + 0.236466i −0.875170 0.483816i \(-0.839250\pi\)
−0.693681 + 0.720282i \(0.744012\pi\)
\(348\) −1.45591 + 16.6880i −0.0780449 + 0.894571i
\(349\) −13.3824 12.4170i −0.716343 0.664669i 0.235283 0.971927i \(-0.424398\pi\)
−0.951626 + 0.307258i \(0.900589\pi\)
\(350\) 10.4209 + 34.0267i 0.557020 + 1.81880i
\(351\) 11.8205 + 2.22760i 0.630930 + 0.118900i
\(352\) −0.648145 + 8.64889i −0.0345462 + 0.460988i
\(353\) 2.22704 9.75731i 0.118533 0.519329i −0.880445 0.474148i \(-0.842756\pi\)
0.998979 0.0451813i \(-0.0143866\pi\)
\(354\) 6.71928 1.98301i 0.357126 0.105396i
\(355\) 32.2610 40.4540i 1.71224 2.14708i
\(356\) −0.207832 2.77332i −0.0110151 0.146986i
\(357\) 1.07762 + 1.62995i 0.0570337 + 0.0862663i
\(358\) −2.52696 + 33.7200i −0.133554 + 1.78216i
\(359\) −9.76156 9.05740i −0.515195 0.478031i 0.379196 0.925316i \(-0.376201\pi\)
−0.894392 + 0.447285i \(0.852391\pi\)
\(360\) −11.3934 11.1019i −0.600484 0.585124i
\(361\) −7.44745 12.8994i −0.391971 0.678913i
\(362\) −6.97415 12.0796i −0.366553 0.634889i
\(363\) −0.953380 15.2154i −0.0500395 0.798601i
\(364\) −0.0142779 + 7.09459i −0.000748364 + 0.371858i
\(365\) 6.44619 16.4246i 0.337409 0.859704i
\(366\) −10.5698 + 12.9268i −0.552493 + 0.675694i
\(367\) −16.5291 + 7.96000i −0.862812 + 0.415508i −0.812317 0.583216i \(-0.801794\pi\)
−0.0504949 + 0.998724i \(0.516080\pi\)
\(368\) −7.60236 5.18320i −0.396301 0.270193i
\(369\) −6.54192 3.34982i −0.340559 0.174385i
\(370\) 11.9880 + 15.0324i 0.623225 + 0.781499i
\(371\) −15.1384 + 22.1082i −0.785946 + 1.14780i
\(372\) −12.7780 + 8.48498i −0.662507 + 0.439926i
\(373\) −3.05031 −0.157939 −0.0789696 0.996877i \(-0.525163\pi\)
−0.0789696 + 0.996877i \(0.525163\pi\)
\(374\) 0.561747 0.972974i 0.0290472 0.0503113i
\(375\) 0.986287 + 15.7406i 0.0509316 + 0.812839i
\(376\) −4.18835 + 1.29194i −0.215998 + 0.0666265i
\(377\) −17.4134 + 8.38585i −0.896835 + 0.431893i
\(378\) 22.3811 + 9.79891i 1.15116 + 0.504002i
\(379\) −4.35625 2.09786i −0.223765 0.107760i 0.318643 0.947875i \(-0.396773\pi\)
−0.542408 + 0.840115i \(0.682487\pi\)
\(380\) −23.6417 3.56341i −1.21279 0.182799i
\(381\) 6.94543 2.04976i 0.355825 0.105012i
\(382\) 21.7036 + 20.1380i 1.11045 + 1.03035i
\(383\) 10.1587 4.89217i 0.519085 0.249978i −0.155948 0.987765i \(-0.549843\pi\)
0.675034 + 0.737787i \(0.264129\pi\)
\(384\) −1.64181 + 18.8188i −0.0837832 + 0.960344i
\(385\) 6.05903 12.5172i 0.308797 0.637936i
\(386\) 9.35373 40.9814i 0.476092 2.08590i
\(387\) −12.7295 + 30.2391i −0.647075 + 1.53714i
\(388\) 1.77427 4.52075i 0.0900747 0.229507i
\(389\) −6.40269 28.0520i −0.324629 1.42229i −0.829214 0.558931i \(-0.811212\pi\)
0.504585 0.863362i \(-0.331646\pi\)
\(390\) −5.92187 + 24.5579i −0.299866 + 1.24354i
\(391\) 0.394309 + 0.682963i 0.0199410 + 0.0345389i
\(392\) 2.37088 10.1981i 0.119747 0.515082i
\(393\) 8.50189 7.69738i 0.428864 0.388282i
\(394\) 2.20363 + 29.4054i 0.111017 + 1.48142i
\(395\) 14.8593 13.7874i 0.747653 0.693720i
\(396\) −0.259330 5.14574i −0.0130318 0.258583i
\(397\) 20.1547 + 6.21691i 1.01154 + 0.312018i 0.755852 0.654743i \(-0.227223\pi\)
0.255684 + 0.966760i \(0.417699\pi\)
\(398\) −23.8333 22.1141i −1.19466 1.10848i
\(399\) −26.0924 + 5.56588i −1.30625 + 0.278643i
\(400\) 27.6011 25.6101i 1.38006 1.28051i
\(401\) −6.13040 + 2.95224i −0.306137 + 0.147428i −0.580645 0.814157i \(-0.697200\pi\)
0.274507 + 0.961585i \(0.411485\pi\)
\(402\) 6.93958 + 12.3663i 0.346115 + 0.616777i
\(403\) −15.9447 7.67857i −0.794263 0.382497i
\(404\) 5.48510 + 13.9758i 0.272894 + 0.695323i
\(405\) 25.4527 + 19.2406i 1.26476 + 0.956075i
\(406\) −38.2908 + 8.65858i −1.90034 + 0.429718i
\(407\) 0.338119 4.51188i 0.0167599 0.223646i
\(408\) 0.563972 0.949826i 0.0279208 0.0470234i
\(409\) 0.189457 + 0.482729i 0.00936806 + 0.0238694i 0.935481 0.353376i \(-0.114966\pi\)
−0.926113 + 0.377246i \(0.876871\pi\)
\(410\) 7.71775 13.3675i 0.381152 0.660175i
\(411\) 16.0825 14.5607i 0.793293 0.718226i
\(412\) 5.55563 + 14.1555i 0.273706 + 0.697393i
\(413\) 3.38208 + 4.98212i 0.166421 + 0.245154i
\(414\) 8.77700 + 4.49430i 0.431366 + 0.220883i
\(415\) 33.8296 5.09899i 1.66063 0.250300i
\(416\) 12.2008 5.87559i 0.598193 0.288074i
\(417\) 25.4948 3.52460i 1.24849 0.172600i
\(418\) 9.56440 + 11.9934i 0.467810 + 0.586616i
\(419\) 0.185502 0.472651i 0.00906235 0.0230905i −0.926271 0.376858i \(-0.877004\pi\)
0.935333 + 0.353768i \(0.115100\pi\)
\(420\) −8.40582 + 16.8375i −0.410162 + 0.821584i
\(421\) 7.98480 + 20.3449i 0.389155 + 0.991551i 0.982443 + 0.186561i \(0.0597342\pi\)
−0.593288 + 0.804990i \(0.702171\pi\)
\(422\) −12.9590 + 22.4457i −0.630835 + 1.09264i
\(423\) 8.01148 3.61962i 0.389531 0.175992i
\(424\) 14.9786 + 2.25765i 0.727423 + 0.109641i
\(425\) −3.08375 + 0.951211i −0.149584 + 0.0461405i
\(426\) 44.5030 6.15244i 2.15618 0.298087i
\(427\) −13.3496 5.27036i −0.646032 0.255050i
\(428\) −0.0899811 1.20071i −0.00434940 0.0580387i
\(429\) 4.95221 3.28842i 0.239095 0.158766i
\(430\) −62.0806 29.8964i −2.99379 1.44173i
\(431\) 20.9641 6.46656i 1.00980 0.311483i 0.254652 0.967033i \(-0.418039\pi\)
0.755152 + 0.655549i \(0.227563\pi\)
\(432\) −0.985483 25.8316i −0.0474141 1.24283i
\(433\) 2.11210 + 9.25372i 0.101501 + 0.444706i 0.999984 + 0.00569648i \(0.00181326\pi\)
−0.898483 + 0.439009i \(0.855330\pi\)
\(434\) −28.0589 22.4688i −1.34687 1.07854i
\(435\) −51.2639 0.626614i −2.45791 0.0300438i
\(436\) −4.68606 20.5310i −0.224422 0.983256i
\(437\) −10.6475 + 1.60485i −0.509337 + 0.0767703i
\(438\) 13.8830 6.47786i 0.663354 0.309524i
\(439\) −2.48906 33.2141i −0.118796 1.58522i −0.664527 0.747264i \(-0.731367\pi\)
0.545731 0.837960i \(-0.316252\pi\)
\(440\) −7.86181 −0.374797
\(441\) −2.16482 + 20.8881i −0.103087 + 0.994672i
\(442\) −1.75417 −0.0834374
\(443\) −0.711751 9.49766i −0.0338163 0.451247i −0.988252 0.152832i \(-0.951161\pi\)
0.954436 0.298416i \(-0.0964582\pi\)
\(444\) −0.532152 + 6.09967i −0.0252548 + 0.289477i
\(445\) 8.41649 1.26858i 0.398980 0.0601365i
\(446\) 8.20720 + 35.9581i 0.388622 + 1.70267i
\(447\) −12.2519 21.8329i −0.579494 1.03266i
\(448\) 1.15213 0.260527i 0.0544328 0.0123087i
\(449\) −1.41186 6.18578i −0.0666299 0.291925i 0.930625 0.365975i \(-0.119265\pi\)
−0.997254 + 0.0740505i \(0.976407\pi\)
\(450\) −25.9223 + 30.9237i −1.22199 + 1.45776i
\(451\) −3.47090 + 1.07063i −0.163438 + 0.0504140i
\(452\) −13.9624 6.72394i −0.656736 0.316268i
\(453\) 0.444511 + 7.09413i 0.0208849 + 0.333311i
\(454\) 1.87443 + 25.0125i 0.0879712 + 1.17389i
\(455\) −21.6556 + 1.57904i −1.01523 + 0.0740265i
\(456\) 9.25909 + 11.9062i 0.433597 + 0.557559i
\(457\) 11.0753 3.41629i 0.518083 0.159807i −0.0246769 0.999695i \(-0.507856\pi\)
0.542759 + 0.839888i \(0.317380\pi\)
\(458\) 13.4303 + 2.02429i 0.627555 + 0.0945887i
\(459\) −0.884514 + 2.03138i −0.0412856 + 0.0948168i
\(460\) −3.79766 + 6.57774i −0.177067 + 0.306689i
\(461\) 0.967468 + 2.46507i 0.0450595 + 0.114810i 0.951632 0.307241i \(-0.0994057\pi\)
−0.906572 + 0.422051i \(0.861310\pi\)
\(462\) 11.3015 4.25089i 0.525795 0.197769i
\(463\) −11.2382 + 28.6344i −0.522282 + 1.33075i 0.389859 + 0.920875i \(0.372524\pi\)
−0.912141 + 0.409877i \(0.865571\pi\)
\(464\) 25.8975 + 32.4744i 1.20226 + 1.50759i
\(465\) −28.8181 37.0571i −1.33641 1.71848i
\(466\) −40.5956 + 19.5498i −1.88055 + 0.905627i
\(467\) −32.5918 + 4.91242i −1.50817 + 0.227320i −0.850495 0.525984i \(-0.823697\pi\)
−0.657673 + 0.753304i \(0.728459\pi\)
\(468\) −6.75548 + 4.36782i −0.312272 + 0.201903i
\(469\) −8.30816 + 8.91800i −0.383635 + 0.411795i
\(470\) 6.74525 + 17.1866i 0.311135 + 0.792760i
\(471\) −8.78000 40.7577i −0.404561 1.87802i
\(472\) 1.70211 2.94813i 0.0783458 0.135699i
\(473\) 5.92382 + 15.0937i 0.272378 + 0.694007i
\(474\) 17.5988 + 0.215115i 0.808339 + 0.00988057i
\(475\) 3.29283 43.9397i 0.151085 2.01609i
\(476\) −1.27344 0.293352i −0.0583680 0.0134458i
\(477\) −30.3730 0.742628i −1.39068 0.0340026i
\(478\) 3.81397 + 9.71785i 0.174447 + 0.444484i
\(479\) 4.32968 + 2.08506i 0.197828 + 0.0952690i 0.530175 0.847888i \(-0.322126\pi\)
−0.332347 + 0.943157i \(0.607840\pi\)
\(480\) 35.9183 + 0.439040i 1.63944 + 0.0200394i
\(481\) −6.36480 + 3.06513i −0.290210 + 0.139758i
\(482\) −0.594000 + 0.551152i −0.0270560 + 0.0251043i
\(483\) −1.38238 + 8.36203i −0.0629006 + 0.380486i
\(484\) 7.47405 + 6.93491i 0.339730 + 0.315223i
\(485\) 14.2029 + 4.38101i 0.644920 + 0.198931i
\(486\) 4.50352 + 27.3350i 0.204284 + 1.23994i
\(487\) −4.24601 + 3.93972i −0.192405 + 0.178526i −0.770493 0.637449i \(-0.779990\pi\)
0.578087 + 0.815975i \(0.303799\pi\)
\(488\) 0.606345 + 8.09111i 0.0274479 + 0.366267i
\(489\) 7.83952 + 36.3919i 0.354515 + 1.64570i
\(490\) −43.5838 6.74872i −1.96892 0.304876i
\(491\) 12.1877 + 21.1097i 0.550024 + 0.952670i 0.998272 + 0.0587604i \(0.0187148\pi\)
−0.448248 + 0.893909i \(0.647952\pi\)
\(492\) 4.71436 1.39132i 0.212540 0.0627254i
\(493\) −0.792177 3.47076i −0.0356779 0.156315i
\(494\) 8.75041 22.2957i 0.393699 1.00313i
\(495\) 15.6452 1.96835i 0.703200 0.0884709i
\(496\) −8.46317 + 37.0795i −0.380007 + 1.66492i
\(497\) 16.6844 + 34.8246i 0.748398 + 1.56210i
\(498\) 24.3369 + 17.0320i 1.09056 + 0.763224i
\(499\) 32.3282 15.5684i 1.44721 0.696938i 0.465099 0.885258i \(-0.346019\pi\)
0.982108 + 0.188320i \(0.0603043\pi\)
\(500\) −7.73202 7.17427i −0.345787 0.320843i
\(501\) −9.89077 9.40485i −0.441887 0.420178i
\(502\) 12.3450 + 1.86071i 0.550983 + 0.0830474i
\(503\) −34.9332 16.8229i −1.55759 0.750098i −0.560639 0.828061i \(-0.689444\pi\)
−0.996956 + 0.0779624i \(0.975159\pi\)
\(504\) 11.1622 4.04343i 0.497202 0.180109i
\(505\) −41.3989 + 19.9367i −1.84223 + 0.887170i
\(506\) 4.65674 1.43642i 0.207018 0.0638564i
\(507\) 11.8533 + 5.88779i 0.526424 + 0.261486i
\(508\) −2.42154 + 4.19422i −0.107438 + 0.186089i
\(509\) −9.76127 −0.432661 −0.216330 0.976320i \(-0.569409\pi\)
−0.216330 + 0.976320i \(0.569409\pi\)
\(510\) −4.16731 2.06999i −0.184531 0.0916608i
\(511\) 8.93693 + 9.67068i 0.395346 + 0.427806i
\(512\) −8.86631 11.1180i −0.391839 0.491351i
\(513\) −21.4068 21.3755i −0.945133 0.943751i
\(514\) −23.5754 16.0734i −1.03987 0.708969i
\(515\) −41.9312 + 20.1930i −1.84771 + 0.889811i
\(516\) −7.76618 20.5220i −0.341887 0.903430i
\(517\) 1.58729 4.04434i 0.0698088 0.177870i
\(518\) −13.9957 + 3.16482i −0.614937 + 0.139054i
\(519\) −10.2499 + 6.80628i −0.449923 + 0.298763i
\(520\) 6.13753 + 10.6305i 0.269148 + 0.466179i
\(521\) 15.0238 + 26.0219i 0.658203 + 1.14004i 0.981081 + 0.193600i \(0.0620164\pi\)
−0.322878 + 0.946441i \(0.604650\pi\)
\(522\) −31.8812 31.0657i −1.39540 1.35971i
\(523\) −14.1028 13.0854i −0.616670 0.572186i 0.308743 0.951145i \(-0.400092\pi\)
−0.925413 + 0.378959i \(0.876282\pi\)
\(524\) −0.573190 + 7.64869i −0.0250399 + 0.334134i
\(525\) −32.1018 13.1294i −1.40104 0.573014i
\(526\) 1.39848 + 18.6614i 0.0609765 + 0.813675i
\(527\) 2.03242 2.54858i 0.0885338 0.111018i
\(528\) −9.25816 8.80333i −0.402910 0.383116i
\(529\) 4.35681 19.0884i 0.189426 0.829931i
\(530\) 4.76831 63.6286i 0.207122 2.76385i
\(531\) −2.64912 + 6.29302i −0.114962 + 0.273094i
\(532\) 10.0809 14.7222i 0.437062 0.638288i
\(533\) 4.15732 + 3.85743i 0.180074 + 0.167084i
\(534\) 6.05479 + 4.23741i 0.262016 + 0.183371i
\(535\) 3.64393 0.549235i 0.157541 0.0237455i
\(536\) 6.58434 + 2.03100i 0.284400 + 0.0877258i
\(537\) −23.8826 22.7093i −1.03061 0.979977i
\(538\) 23.9814 41.5370i 1.03391 1.79079i
\(539\) 6.43808 + 8.14009i 0.277308 + 0.350619i
\(540\) −21.2029 + 2.40471i −0.912428 + 0.103482i
\(541\) −11.0477 + 7.53221i −0.474979 + 0.323835i −0.777038 0.629454i \(-0.783279\pi\)
0.302059 + 0.953289i \(0.402326\pi\)
\(542\) −2.45444 10.7536i −0.105427 0.461906i
\(543\) 13.4165 + 2.19024i 0.575757 + 0.0939922i
\(544\) 0.555043 + 2.43180i 0.0237973 + 0.104263i
\(545\) 61.5877 18.9973i 2.63813 0.813754i
\(546\) −14.5708 11.9631i −0.623572 0.511972i
\(547\) 6.29189 + 1.94079i 0.269022 + 0.0829822i 0.426331 0.904567i \(-0.359806\pi\)
−0.157309 + 0.987549i \(0.550282\pi\)
\(548\) −1.08427 + 14.4686i −0.0463177 + 0.618067i
\(549\) −3.23241 15.9497i −0.137956 0.680717i
\(550\) 1.49026 + 19.8862i 0.0635451 + 0.847950i
\(551\) 48.0653 + 7.24468i 2.04765 + 0.308634i
\(552\) 4.59553 1.35625i 0.195599 0.0577257i
\(553\) 4.42986 + 14.4645i 0.188377 + 0.615095i
\(554\) 22.5885 + 15.4006i 0.959695 + 0.654309i
\(555\) −18.7376 0.229035i −0.795365 0.00972198i
\(556\) −10.7320 + 13.4575i −0.455137 + 0.570723i
\(557\) 16.4886 + 28.5592i 0.698646 + 1.21009i 0.968936 + 0.247311i \(0.0795471\pi\)
−0.270290 + 0.962779i \(0.587120\pi\)
\(558\) 4.03855 40.5589i 0.170965 1.71700i
\(559\) 15.7846 19.7933i 0.667618 0.837167i
\(560\) 13.6645 + 44.6178i 0.577430 + 1.88545i
\(561\) 0.387547 + 1.02409i 0.0163623 + 0.0432369i
\(562\) −20.8494 26.1443i −0.879479 1.10283i
\(563\) 0.725702 9.68383i 0.0305847 0.408125i −0.960809 0.277211i \(-0.910590\pi\)
0.991394 0.130914i \(-0.0417911\pi\)
\(564\) −2.21473 + 5.44636i −0.0932571 + 0.229333i
\(565\) 17.3277 44.1503i 0.728983 1.85742i
\(566\) 19.4191 + 24.3508i 0.816246 + 1.02354i
\(567\) −21.2007 + 10.8412i −0.890344 + 0.455288i
\(568\) 13.6110 17.0676i 0.571104 0.716141i
\(569\) 16.4861 + 28.5547i 0.691132 + 1.19708i 0.971467 + 0.237174i \(0.0762212\pi\)
−0.280335 + 0.959902i \(0.590445\pi\)
\(570\) 47.0978 42.6410i 1.97271 1.78604i
\(571\) −6.24328 15.9076i −0.261273 0.665713i 0.738692 0.674043i \(-0.235444\pi\)
−0.999965 + 0.00832962i \(0.997349\pi\)
\(572\) −0.884667 + 3.87598i −0.0369898 + 0.162063i
\(573\) −28.5834 + 3.95159i −1.19409 + 0.165080i
\(574\) 6.46993 + 9.53079i 0.270049 + 0.397808i
\(575\) −12.6117 6.07347i −0.525944 0.253281i
\(576\) 0.959268 + 0.934731i 0.0399695 + 0.0389471i
\(577\) −1.20808 16.1207i −0.0502930 0.671113i −0.964198 0.265184i \(-0.914567\pi\)
0.913905 0.405929i \(-0.133052\pi\)
\(578\) −6.65092 + 29.1396i −0.276642 + 1.21205i
\(579\) 25.1496 + 32.3397i 1.04518 + 1.34399i
\(580\) 25.1342 23.3212i 1.04364 0.968359i
\(581\) −7.57475 + 24.3824i −0.314253 + 1.01155i
\(582\) 6.31551 + 11.2543i 0.261786 + 0.466504i
\(583\) −11.0068 + 10.2128i −0.455855 + 0.422971i
\(584\) 2.71966 6.92957i 0.112540 0.286748i
\(585\) −14.8754 19.6184i −0.615022 0.811120i
\(586\) 1.35485 0.923724i 0.0559685 0.0381587i
\(587\) −5.58442 + 9.67249i −0.230494 + 0.399227i −0.957953 0.286924i \(-0.907367\pi\)
0.727460 + 0.686150i \(0.240701\pi\)
\(588\) −8.57706 11.1213i −0.353712 0.458633i
\(589\) 22.2543 + 38.5455i 0.916971 + 1.58824i
\(590\) −12.9195 6.22172i −0.531889 0.256144i
\(591\) −23.5456 16.4783i −0.968538 0.677825i
\(592\) 9.46584 + 11.8698i 0.389044 + 0.487845i
\(593\) 14.2093 + 4.38300i 0.583508 + 0.179988i 0.572435 0.819950i \(-0.305999\pi\)
0.0110731 + 0.999939i \(0.496475\pi\)
\(594\) 11.0219 + 8.12208i 0.452234 + 0.333253i
\(595\) 0.604043 3.95356i 0.0247633 0.162080i
\(596\) 15.9996 + 4.93523i 0.655369 + 0.202155i
\(597\) 31.3883 4.33936i 1.28464 0.177598i
\(598\) −5.57769 5.17534i −0.228089 0.211636i
\(599\) −2.52754 + 1.72325i −0.103273 + 0.0704101i −0.613855 0.789419i \(-0.710382\pi\)
0.510583 + 0.859829i \(0.329430\pi\)
\(600\) 1.22617 + 19.5690i 0.0500582 + 0.798900i
\(601\) −10.4344 + 7.11407i −0.425629 + 0.290189i −0.757128 0.653267i \(-0.773398\pi\)
0.331499 + 0.943456i \(0.392446\pi\)
\(602\) 40.2683 31.9805i 1.64121 1.30343i
\(603\) −13.6115 2.39323i −0.554304 0.0974599i
\(604\) −3.48475 3.23338i −0.141793 0.131564i
\(605\) −19.4555 + 24.3965i −0.790981 + 0.991858i
\(606\) −37.9771 12.2247i −1.54271 0.496593i
\(607\) 13.5702 0.550798 0.275399 0.961330i \(-0.411190\pi\)
0.275399 + 0.961330i \(0.411190\pi\)
\(608\) −33.6772 5.07602i −1.36579 0.205860i
\(609\) 17.0897 34.2318i 0.692509 1.38714i
\(610\) 33.7961 5.09394i 1.36836 0.206248i
\(611\) −6.70781 + 1.01104i −0.271369 + 0.0409023i
\(612\) −0.507472 1.39215i −0.0205133 0.0562745i
\(613\) −2.05485 1.40097i −0.0829945 0.0565847i 0.521112 0.853488i \(-0.325517\pi\)
−0.604106 + 0.796904i \(0.706470\pi\)
\(614\) −16.5336 + 42.1268i −0.667240 + 1.70010i
\(615\) 5.32445 + 14.0697i 0.214702 + 0.567347i
\(616\) 2.55631 5.28103i 0.102997 0.212779i
\(617\) −8.54499 1.28795i −0.344008 0.0518509i −0.0252341 0.999682i \(-0.508033\pi\)
−0.318774 + 0.947831i \(0.603271\pi\)
\(618\) −38.4654 12.3819i −1.54730 0.498071i
\(619\) 37.9665 1.52600 0.763002 0.646396i \(-0.223725\pi\)
0.763002 + 0.646396i \(0.223725\pi\)
\(620\) 31.0446 + 4.67923i 1.24678 + 0.187922i
\(621\) −8.80567 + 3.84955i −0.353359 + 0.154477i
\(622\) 8.29167 3.99306i 0.332466 0.160107i
\(623\) −1.88453 + 6.06611i −0.0755019 + 0.243034i
\(624\) −4.67598 + 19.3912i −0.187189 + 0.776269i
\(625\) −3.46716 + 4.34769i −0.138687 + 0.173907i
\(626\) −26.6731 + 18.1854i −1.06607 + 0.726836i
\(627\) −14.9494 0.182732i −0.597023 0.00729760i
\(628\) 23.0384 + 15.7073i 0.919334 + 0.626791i
\(629\) −0.289550 1.26860i −0.0115451 0.0505825i
\(630\) −20.4983 45.6142i −0.816671 1.81731i
\(631\) −4.38605 + 19.2165i −0.174606 + 0.764998i 0.809457 + 0.587179i \(0.199761\pi\)
−0.984063 + 0.177819i \(0.943096\pi\)
\(632\) 6.26916 5.81693i 0.249374 0.231385i
\(633\) −8.94038 23.6248i −0.355348 0.939000i
\(634\) −14.2766 4.40373i −0.566994 0.174895i
\(635\) −13.3544 6.43113i −0.529952 0.255211i
\(636\) 15.0628 13.6374i 0.597278 0.540759i
\(637\) 5.98075 15.0602i 0.236966 0.596706i
\(638\) −21.9990 −0.870950
\(639\) −22.8130 + 37.3728i −0.902469 + 1.47845i
\(640\) 28.3435 26.2989i 1.12038 1.03956i
\(641\) 4.07979 + 5.11589i 0.161142 + 0.202066i 0.855847 0.517229i \(-0.173037\pi\)
−0.694705 + 0.719295i \(0.744465\pi\)
\(642\) 2.62143 + 1.83459i 0.103460 + 0.0724057i
\(643\) −24.6314 + 7.59777i −0.971366 + 0.299627i −0.739527 0.673127i \(-0.764951\pi\)
−0.231840 + 0.972754i \(0.574474\pi\)
\(644\) −3.18365 4.68980i −0.125453 0.184804i
\(645\) 60.8557 28.3956i 2.39619 1.11807i
\(646\) 3.64513 + 2.48521i 0.143416 + 0.0977793i
\(647\) −6.45086 + 1.98983i −0.253610 + 0.0782282i −0.418953 0.908008i \(-0.637603\pi\)
0.165344 + 0.986236i \(0.447127\pi\)
\(648\) 10.7385 + 8.11765i 0.421850 + 0.318892i
\(649\) 1.23280 + 3.14112i 0.0483917 + 0.123300i
\(650\) 25.7261 17.5398i 1.00906 0.687967i
\(651\) 34.2628 7.30874i 1.34287 0.286452i
\(652\) −20.5706 14.0248i −0.805609 0.549255i
\(653\) 1.46668 6.42593i 0.0573955 0.251466i −0.938088 0.346396i \(-0.887405\pi\)
0.995484 + 0.0949296i \(0.0302626\pi\)
\(654\) 50.1181 + 24.8948i 1.95977 + 0.973462i
\(655\) −23.4745 −0.917223
\(656\) 6.09402 10.5552i 0.237932 0.412110i
\(657\) −3.67724 + 14.4710i −0.143463 + 0.564566i
\(658\) −13.7381 1.05733i −0.535566 0.0412191i
\(659\) 41.1844 6.20754i 1.60431 0.241812i 0.715006 0.699118i \(-0.246424\pi\)
0.889309 + 0.457307i \(0.151186\pi\)
\(660\) −6.67548 + 8.16405i −0.259843 + 0.317785i
\(661\) 2.25793 30.1300i 0.0878234 1.17192i −0.762974 0.646429i \(-0.776262\pi\)
0.850798 0.525493i \(-0.176119\pi\)
\(662\) 1.29082 17.2247i 0.0501690 0.669459i
\(663\) 1.08219 1.32351i 0.0420288 0.0514009i
\(664\) 14.2728 2.15127i 0.553891 0.0834856i
\(665\) 47.2369 + 27.3992i 1.83177 + 1.06249i
\(666\) −11.6529 11.3549i −0.451542 0.439992i
\(667\) 7.72093 13.3730i 0.298956 0.517806i
\(668\) 9.12786 0.353167
\(669\) −32.1934 15.9912i −1.24467 0.618254i
\(670\) 6.45862 28.2971i 0.249518 1.09321i
\(671\) −6.64519 4.53061i −0.256535 0.174902i
\(672\) −11.9740 + 23.9847i −0.461906 + 0.925231i
\(673\) −26.4966 + 18.0651i −1.02137 + 0.696357i −0.953517 0.301338i \(-0.902567\pi\)
−0.0678511 + 0.997695i \(0.521614\pi\)
\(674\) −9.25584 23.5835i −0.356522 0.908403i
\(675\) −7.33958 38.6358i −0.282501 1.48709i
\(676\) −8.45818 + 2.60900i −0.325315 + 0.100346i
\(677\) −19.6234 13.3790i −0.754190 0.514198i 0.124133 0.992266i \(-0.460385\pi\)
−0.878323 + 0.478068i \(0.841337\pi\)
\(678\) 37.3182 17.4129i 1.43320 0.668737i
\(679\) −7.56102 + 8.11602i −0.290165 + 0.311464i
\(680\) −2.16056 + 0.666443i −0.0828535 + 0.0255569i
\(681\) −20.0281 14.0166i −0.767480 0.537116i
\(682\) −12.5593 15.7489i −0.480922 0.603057i
\(683\) 31.9614 29.6558i 1.22297 1.13475i 0.236355 0.971667i \(-0.424047\pi\)
0.986613 0.163081i \(-0.0521432\pi\)
\(684\) 20.2258 + 0.494527i 0.773354 + 0.0189087i
\(685\) −44.4053 −1.69664
\(686\) 18.7049 27.0823i 0.714156 1.03401i
\(687\) −9.81277 + 8.88421i −0.374381 + 0.338954i
\(688\) −49.0196 23.6066i −1.86885 0.899993i
\(689\) 22.4022 + 6.91017i 0.853457 + 0.263257i
\(690\) −7.14357 18.8767i −0.271951 0.718625i
\(691\) 17.2937 16.0462i 0.657884 0.610427i −0.278906 0.960318i \(-0.589972\pi\)
0.936790 + 0.349891i \(0.113781\pi\)
\(692\) 1.83106 8.02239i 0.0696064 0.304966i
\(693\) −3.76493 + 11.1494i −0.143018 + 0.423531i
\(694\) 11.6876 + 51.2069i 0.443657 + 1.94379i
\(695\) −43.5259 29.6755i −1.65103 1.12566i
\(696\) −21.6283 0.264369i −0.819819 0.0100209i
\(697\) −0.863103 + 0.588454i −0.0326924 + 0.0222893i
\(698\) −20.2283 + 25.3655i −0.765654 + 0.960099i
\(699\) 10.2942 42.6898i 0.389363 1.61468i
\(700\) 21.6091 8.43079i 0.816747 0.318654i
\(701\) 2.29032 1.10296i 0.0865044 0.0416583i −0.390131 0.920759i \(-0.627570\pi\)
0.476636 + 0.879101i \(0.341856\pi\)
\(702\) 2.37791 21.2442i 0.0897483 0.801812i
\(703\) 17.5684 + 2.64802i 0.662606 + 0.0998718i
\(704\) 0.661926 0.0249473
\(705\) −17.1285 5.51360i −0.645097 0.207654i
\(706\) −17.5878 2.65093i −0.661925 0.0997691i
\(707\) 0.0690117 34.2915i 0.00259545 1.28966i
\(708\) −1.61621 4.27081i −0.0607410 0.160507i
\(709\) 11.1817 28.4906i 0.419939 1.06999i −0.551810 0.833970i \(-0.686063\pi\)
0.971749 0.236017i \(-0.0758420\pi\)
\(710\) −75.9776 51.8007i −2.85139 1.94404i
\(711\) −11.0194 + 13.1455i −0.413261 + 0.492993i
\(712\) 3.55093 0.535216i 0.133077 0.0200581i
\(713\) 13.9815 2.10738i 0.523613 0.0789220i
\(714\) 2.74551 2.12624i 0.102748 0.0795726i
\(715\) −12.0316 1.81347i −0.449957 0.0678200i
\(716\) 22.0404 0.823689
\(717\) −9.68499 3.11756i −0.361692 0.116427i
\(718\) −14.7552 + 18.5024i −0.550660 + 0.690505i
\(719\) 9.67987 + 8.98160i 0.360998 + 0.334957i 0.839730 0.543004i \(-0.182713\pi\)
−0.478732 + 0.877961i \(0.658904\pi\)
\(720\) −33.9909 + 40.5489i −1.26677 + 1.51117i
\(721\) 0.0698991 34.7324i 0.00260318 1.29350i
\(722\) −21.8713 + 14.9116i −0.813965 + 0.554952i
\(723\) −0.0493871 0.788188i −0.00183672 0.0293130i
\(724\) −7.51179 + 5.12145i −0.279174 + 0.190337i
\(725\) 46.3216 + 42.9802i 1.72034 + 1.59624i
\(726\) −26.8383 + 3.71033i −0.996062 + 0.137703i
\(727\) 39.5689 + 12.2054i 1.46753 + 0.452673i 0.922583 0.385798i \(-0.126074\pi\)
0.544946 + 0.838471i \(0.316550\pi\)
\(728\) −9.13651 + 0.666199i −0.338622 + 0.0246910i
\(729\) −23.4024 13.4658i −0.866756 0.498732i
\(730\) −29.9640 9.24268i −1.10902 0.342087i
\(731\) 2.90745 + 3.64583i 0.107536 + 0.134846i
\(732\) 8.91701 + 6.24052i 0.329582 + 0.230656i
\(733\) 15.6127 + 7.51869i 0.576669 + 0.277709i 0.699400 0.714731i \(-0.253451\pi\)
−0.122731 + 0.992440i \(0.539165\pi\)
\(734\) 16.3020 + 28.2359i 0.601718 + 1.04221i
\(735\) 31.9798 28.7203i 1.17959 1.05936i
\(736\) −5.40971 + 9.36989i −0.199405 + 0.345379i
\(737\) −5.64328 + 3.84752i −0.207873 + 0.141725i
\(738\) −5.06776 + 12.0386i −0.186547 + 0.443145i
\(739\) 12.5965 32.0953i 0.463368 1.18064i −0.488070 0.872805i \(-0.662299\pi\)
0.951438 0.307839i \(-0.0996059\pi\)
\(740\) 9.18687 8.52417i 0.337716 0.313355i
\(741\) 11.4236 + 20.3569i 0.419656 + 0.747828i
\(742\) 41.1909 + 23.8923i 1.51217 + 0.877113i
\(743\) −25.7853 + 23.9252i −0.945970 + 0.877732i −0.992631 0.121179i \(-0.961332\pi\)
0.0466610 + 0.998911i \(0.485142\pi\)
\(744\) −12.1584 15.6344i −0.445749 0.573186i
\(745\) −11.4027 + 49.9587i −0.417764 + 1.83034i
\(746\) 0.405109 + 5.40580i 0.0148321 + 0.197920i
\(747\) −27.8646 + 7.85455i −1.01951 + 0.287383i
\(748\) −0.659776 0.317732i −0.0241238 0.0116174i
\(749\) −0.815909 + 2.62633i −0.0298127 + 0.0959642i
\(750\) 27.7646 3.83840i 1.01382 0.140158i
\(751\) 3.87337 16.9703i 0.141341 0.619257i −0.853783 0.520629i \(-0.825698\pi\)
0.995124 0.0986278i \(-0.0314453\pi\)
\(752\) 5.32613 + 13.5708i 0.194224 + 0.494875i
\(753\) −9.01981 + 8.16629i −0.328700 + 0.297596i
\(754\) 17.1741 + 29.7465i 0.625445 + 1.08330i
\(755\) 9.07109 11.3748i 0.330131 0.413971i
\(756\) 5.27893 15.0246i 0.191993 0.546439i
\(757\) −19.1184 23.9737i −0.694871 0.871340i 0.301758 0.953385i \(-0.402426\pi\)
−0.996629 + 0.0820444i \(0.973855\pi\)
\(758\) −3.13930 + 7.99880i −0.114024 + 0.290530i
\(759\) −1.78909 + 4.39964i −0.0649400 + 0.159697i
\(760\) 2.30704 30.7853i 0.0836851 1.11670i
\(761\) −17.9115 22.4603i −0.649292 0.814186i 0.342839 0.939394i \(-0.388612\pi\)
−0.992131 + 0.125208i \(0.960040\pi\)
\(762\) −4.55502 12.0366i −0.165011 0.436038i
\(763\) −7.26452 + 47.5475i −0.262993 + 1.72133i
\(764\) 12.0321 15.0878i 0.435307 0.545857i
\(765\) 4.13271 1.86718i 0.149418 0.0675079i
\(766\) −10.0191 17.3536i −0.362006 0.627013i
\(767\) 3.28492 4.11916i 0.118612 0.148734i
\(768\) 35.1154 + 0.429227i 1.26712 + 0.0154884i
\(769\) −36.6926 25.0166i −1.32317 0.902121i −0.324133 0.946012i \(-0.605072\pi\)
−0.999036 + 0.0438903i \(0.986025\pi\)
\(770\) −22.9878 9.07549i −0.828424 0.327058i
\(771\) 26.6716