Properties

Label 503.2.c.a.2.3
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.3
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.53474 - 1.88959i) q^{2} +(0.404749 - 0.350314i) q^{3} +(-0.805040 + 3.84256i) q^{4} +(1.19914 + 3.78712i) q^{5} +(-1.28313 - 0.227171i) q^{6} +(1.44952 - 4.20876i) q^{7} +(4.16812 - 2.14681i) q^{8} +(-0.389221 + 2.68540i) q^{9} +O(q^{10})\) \(q+(-1.53474 - 1.88959i) q^{2} +(0.404749 - 0.350314i) q^{3} +(-0.805040 + 3.84256i) q^{4} +(1.19914 + 3.78712i) q^{5} +(-1.28313 - 0.227171i) q^{6} +(1.44952 - 4.20876i) q^{7} +(4.16812 - 2.14681i) q^{8} +(-0.389221 + 2.68540i) q^{9} +(5.31575 - 8.07812i) q^{10} +(-4.69973 + 1.52053i) q^{11} +(1.02026 + 1.83729i) q^{12} +(-3.02507 + 1.02072i) q^{13} +(-10.1775 + 3.72034i) q^{14} +(1.81203 + 1.11275i) q^{15} +(-3.26191 - 1.42953i) q^{16} +(3.92530 + 1.95998i) q^{17} +(5.67167 - 3.38591i) q^{18} +(-0.390620 - 0.876362i) q^{19} +(-15.5176 + 1.55900i) q^{20} +(-0.887696 - 2.21128i) q^{21} +(10.0860 + 6.54696i) q^{22} +(-0.964553 + 3.33403i) q^{23} +(0.934982 - 2.32907i) q^{24} +(-8.81554 + 6.20473i) q^{25} +(6.57143 + 4.14962i) q^{26} +(1.64910 + 2.57570i) q^{27} +(15.0055 + 8.95809i) q^{28} +(-0.393144 + 3.29077i) q^{29} +(-0.678336 - 5.13179i) q^{30} +(0.718971 + 8.81784i) q^{31} +(-0.188059 - 0.681892i) q^{32} +(-1.36955 + 2.26181i) q^{33} +(-2.32074 - 10.4253i) q^{34} +(17.6772 + 0.442600i) q^{35} +(-10.0055 - 3.65746i) q^{36} +(-1.34087 - 1.69379i) q^{37} +(-1.05647 + 2.08310i) q^{38} +(-0.866821 + 1.47286i) q^{39} +(13.1284 + 13.2108i) q^{40} +(-0.940536 + 4.78708i) q^{41} +(-2.81604 + 5.07112i) q^{42} +(0.0635880 - 0.346518i) q^{43} +(-2.05928 - 19.2831i) q^{44} +(-10.6366 + 1.74615i) q^{45} +(7.78030 - 3.29424i) q^{46} +(6.69379 - 0.251463i) q^{47} +(-1.82104 + 0.564093i) q^{48} +(-10.0971 - 7.89097i) q^{49} +(25.2540 + 7.13515i) q^{50} +(2.27537 - 0.581787i) q^{51} +(-1.48687 - 12.4457i) q^{52} +(1.10653 - 2.48253i) q^{53} +(2.33610 - 7.06915i) q^{54} +(-11.3941 - 15.9751i) q^{55} +(-2.99366 - 20.6545i) q^{56} +(-0.465104 - 0.217867i) q^{57} +(6.82160 - 4.30759i) q^{58} +(4.96991 - 11.9455i) q^{59} +(-5.73459 + 6.06703i) q^{60} +(-1.87880 - 3.10285i) q^{61} +(15.5587 - 14.8916i) q^{62} +(10.7380 + 5.53068i) q^{63} +(-5.13591 + 7.20081i) q^{64} +(-7.49307 - 10.2323i) q^{65} +(6.37581 - 0.883406i) q^{66} +(-0.266490 + 0.163650i) q^{67} +(-10.6914 + 13.5053i) q^{68} +(0.777554 + 1.68734i) q^{69} +(-26.2936 - 34.0821i) q^{70} +(2.47785 + 15.7081i) q^{71} +(4.14273 + 12.0286i) q^{72} +(6.17975 + 5.91480i) q^{73} +(-1.14269 + 5.13321i) q^{74} +(-1.39447 + 5.59956i) q^{75} +(3.68194 - 0.795474i) q^{76} +(-0.412788 + 21.9841i) q^{77} +(4.11345 - 0.622510i) q^{78} +(-0.885852 - 15.7113i) q^{79} +(1.50229 - 14.0674i) q^{80} +(-6.23562 - 1.84637i) q^{81} +(10.4891 - 5.56968i) q^{82} +(3.78974 + 7.24616i) q^{83} +(9.21160 - 1.63086i) q^{84} +(-2.71568 + 17.2159i) q^{85} +(-0.752370 + 0.411659i) q^{86} +(0.993679 + 1.46966i) q^{87} +(-16.3247 + 16.4272i) q^{88} +(1.52200 + 5.80102i) q^{89} +(19.6240 + 17.4191i) q^{90} +(-0.0889379 + 14.2113i) q^{91} +(-12.0347 - 6.39038i) q^{92} +(3.38001 + 3.31714i) q^{93} +(-10.7484 - 12.2626i) q^{94} +(2.85047 - 2.53020i) q^{95} +(-0.314993 - 0.210115i) q^{96} +(-0.456881 - 1.93774i) q^{97} +(0.585643 + 31.1900i) q^{98} +(-2.25401 - 13.2125i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53474 1.88959i −1.08522 1.33615i −0.937841 0.347066i \(-0.887178\pi\)
−0.147383 0.989080i \(-0.547085\pi\)
\(3\) 0.404749 0.350314i 0.233682 0.202254i −0.529729 0.848167i \(-0.677706\pi\)
0.763411 + 0.645913i \(0.223523\pi\)
\(4\) −0.805040 + 3.84256i −0.402520 + 1.92128i
\(5\) 1.19914 + 3.78712i 0.536272 + 1.69365i 0.706045 + 0.708167i \(0.250477\pi\)
−0.169773 + 0.985483i \(0.554303\pi\)
\(6\) −1.28313 0.227171i −0.523837 0.0927423i
\(7\) 1.44952 4.20876i 0.547867 1.59076i −0.237272 0.971443i \(-0.576253\pi\)
0.785140 0.619319i \(-0.212591\pi\)
\(8\) 4.16812 2.14681i 1.47365 0.759013i
\(9\) −0.389221 + 2.68540i −0.129740 + 0.895133i
\(10\) 5.31575 8.07812i 1.68099 2.55453i
\(11\) −4.69973 + 1.52053i −1.41702 + 0.458458i −0.913964 0.405795i \(-0.866995\pi\)
−0.503058 + 0.864253i \(0.667792\pi\)
\(12\) 1.02026 + 1.83729i 0.294525 + 0.530380i
\(13\) −3.02507 + 1.02072i −0.839003 + 0.283096i −0.706170 0.708042i \(-0.749579\pi\)
−0.132833 + 0.991138i \(0.542407\pi\)
\(14\) −10.1775 + 3.72034i −2.72005 + 0.994302i
\(15\) 1.81203 + 1.11275i 0.467864 + 0.287312i
\(16\) −3.26191 1.42953i −0.815477 0.357381i
\(17\) 3.92530 + 1.95998i 0.952025 + 0.475365i 0.854261 0.519845i \(-0.174010\pi\)
0.0977640 + 0.995210i \(0.468831\pi\)
\(18\) 5.67167 3.38591i 1.33682 0.798067i
\(19\) −0.390620 0.876362i −0.0896143 0.201051i 0.863020 0.505170i \(-0.168570\pi\)
−0.952634 + 0.304119i \(0.901638\pi\)
\(20\) −15.5176 + 1.55900i −3.46984 + 0.348602i
\(21\) −0.887696 2.21128i −0.193711 0.482540i
\(22\) 10.0860 + 6.54696i 2.15035 + 1.39582i
\(23\) −0.964553 + 3.33403i −0.201123 + 0.695193i 0.794951 + 0.606673i \(0.207496\pi\)
−0.996074 + 0.0885194i \(0.971786\pi\)
\(24\) 0.934982 2.32907i 0.190852 0.475419i
\(25\) −8.81554 + 6.20473i −1.76311 + 1.24095i
\(26\) 6.57143 + 4.14962i 1.28876 + 0.813808i
\(27\) 1.64910 + 2.57570i 0.317369 + 0.495693i
\(28\) 15.0055 + 8.95809i 2.83577 + 1.69292i
\(29\) −0.393144 + 3.29077i −0.0730049 + 0.611081i 0.908258 + 0.418410i \(0.137412\pi\)
−0.981263 + 0.192672i \(0.938285\pi\)
\(30\) −0.678336 5.13179i −0.123847 0.936932i
\(31\) 0.718971 + 8.81784i 0.129131 + 1.58373i 0.669830 + 0.742515i \(0.266367\pi\)
−0.540699 + 0.841216i \(0.681840\pi\)
\(32\) −0.188059 0.681892i −0.0332444 0.120543i
\(33\) −1.36955 + 2.26181i −0.238407 + 0.393731i
\(34\) −2.32074 10.4253i −0.398003 1.78792i
\(35\) 17.6772 + 0.442600i 2.98800 + 0.0748131i
\(36\) −10.0055 3.65746i −1.66758 0.609577i
\(37\) −1.34087 1.69379i −0.220437 0.278457i 0.661377 0.750054i \(-0.269972\pi\)
−0.881814 + 0.471597i \(0.843678\pi\)
\(38\) −1.05647 + 2.08310i −0.171382 + 0.337923i
\(39\) −0.866821 + 1.47286i −0.138803 + 0.235846i
\(40\) 13.1284 + 13.2108i 2.07578 + 2.08881i
\(41\) −0.940536 + 4.78708i −0.146887 + 0.747617i 0.833805 + 0.552059i \(0.186158\pi\)
−0.980692 + 0.195558i \(0.937348\pi\)
\(42\) −2.81604 + 5.07112i −0.434524 + 0.782490i
\(43\) 0.0635880 0.346518i 0.00969708 0.0528435i −0.978373 0.206848i \(-0.933679\pi\)
0.988070 + 0.154005i \(0.0492172\pi\)
\(44\) −2.05928 19.2831i −0.310448 2.90704i
\(45\) −10.6366 + 1.74615i −1.58562 + 0.260300i
\(46\) 7.78030 3.29424i 1.14714 0.485710i
\(47\) 6.69379 0.251463i 0.976390 0.0366796i 0.455440 0.890267i \(-0.349482\pi\)
0.520950 + 0.853587i \(0.325578\pi\)
\(48\) −1.82104 + 0.564093i −0.262844 + 0.0814199i
\(49\) −10.0971 7.89097i −1.44244 1.12728i
\(50\) 25.2540 + 7.13515i 3.57145 + 1.00906i
\(51\) 2.27537 0.581787i 0.318615 0.0814665i
\(52\) −1.48687 12.4457i −0.206192 1.72591i
\(53\) 1.10653 2.48253i 0.151994 0.341001i −0.821324 0.570462i \(-0.806764\pi\)
0.973318 + 0.229461i \(0.0736964\pi\)
\(54\) 2.33610 7.06915i 0.317903 0.961989i
\(55\) −11.3941 15.9751i −1.53638 2.15408i
\(56\) −2.99366 20.6545i −0.400044 2.76007i
\(57\) −0.465104 0.217867i −0.0616046 0.0288572i
\(58\) 6.82160 4.30759i 0.895720 0.565615i
\(59\) 4.96991 11.9455i 0.647028 1.55518i −0.174283 0.984696i \(-0.555761\pi\)
0.821311 0.570481i \(-0.193243\pi\)
\(60\) −5.73459 + 6.06703i −0.740332 + 0.783250i
\(61\) −1.87880 3.10285i −0.240555 0.397279i 0.711747 0.702436i \(-0.247904\pi\)
−0.952302 + 0.305157i \(0.901291\pi\)
\(62\) 15.5587 14.8916i 1.97596 1.89124i
\(63\) 10.7380 + 5.53068i 1.35286 + 0.696800i
\(64\) −5.13591 + 7.20081i −0.641989 + 0.900101i
\(65\) −7.49307 10.2323i −0.929401 1.26916i
\(66\) 6.37581 0.883406i 0.784807 0.108740i
\(67\) −0.266490 + 0.163650i −0.0325569 + 0.0199930i −0.539482 0.841997i \(-0.681380\pi\)
0.506925 + 0.861990i \(0.330782\pi\)
\(68\) −10.6914 + 13.5053i −1.29652 + 1.63776i
\(69\) 0.777554 + 1.68734i 0.0936065 + 0.203132i
\(70\) −26.2936 34.0821i −3.14269 4.07359i
\(71\) 2.47785 + 15.7081i 0.294067 + 1.86421i 0.473987 + 0.880532i \(0.342814\pi\)
−0.179920 + 0.983681i \(0.557584\pi\)
\(72\) 4.14273 + 12.0286i 0.488225 + 1.41759i
\(73\) 6.17975 + 5.91480i 0.723286 + 0.692275i 0.960218 0.279251i \(-0.0900862\pi\)
−0.236932 + 0.971526i \(0.576142\pi\)
\(74\) −1.14269 + 5.13321i −0.132835 + 0.596724i
\(75\) −1.39447 + 5.59956i −0.161020 + 0.646582i
\(76\) 3.68194 0.795474i 0.422347 0.0912471i
\(77\) −0.412788 + 21.9841i −0.0470415 + 2.50532i
\(78\) 4.11345 0.622510i 0.465756 0.0704854i
\(79\) −0.885852 15.7113i −0.0996662 1.76766i −0.514239 0.857647i \(-0.671926\pi\)
0.414573 0.910016i \(-0.363931\pi\)
\(80\) 1.50229 14.0674i 0.167961 1.57279i
\(81\) −6.23562 1.84637i −0.692847 0.205152i
\(82\) 10.4891 5.56968i 1.15833 0.615069i
\(83\) 3.78974 + 7.24616i 0.415978 + 0.795370i 0.999864 0.0164657i \(-0.00524144\pi\)
−0.583886 + 0.811836i \(0.698469\pi\)
\(84\) 9.21160 1.63086i 1.00507 0.177941i
\(85\) −2.71568 + 17.2159i −0.294557 + 1.86732i
\(86\) −0.752370 + 0.411659i −0.0811301 + 0.0443903i
\(87\) 0.993679 + 1.46966i 0.106534 + 0.157564i
\(88\) −16.3247 + 16.4272i −1.74022 + 1.75115i
\(89\) 1.52200 + 5.80102i 0.161331 + 0.614907i 0.997764 + 0.0668367i \(0.0212907\pi\)
−0.836432 + 0.548070i \(0.815363\pi\)
\(90\) 19.6240 + 17.4191i 2.06855 + 1.83613i
\(91\) −0.0889379 + 14.2113i −0.00932323 + 1.48975i
\(92\) −12.0347 6.39038i −1.25470 0.666243i
\(93\) 3.38001 + 3.31714i 0.350491 + 0.343972i
\(94\) −10.7484 12.2626i −1.10861 1.26479i
\(95\) 2.85047 2.53020i 0.292453 0.259593i
\(96\) −0.314993 0.210115i −0.0321488 0.0214448i
\(97\) −0.456881 1.93774i −0.0463893 0.196748i 0.945133 0.326687i \(-0.105932\pi\)
−0.991522 + 0.129939i \(0.958522\pi\)
\(98\) 0.585643 + 31.1900i 0.0591589 + 3.15066i
\(99\) −2.25401 13.2125i −0.226536 1.32790i
\(100\) −16.7452 38.8693i −1.67452 3.88693i
\(101\) 5.51178 2.17270i 0.548443 0.216192i −0.0762133 0.997092i \(-0.524283\pi\)
0.624656 + 0.780900i \(0.285239\pi\)
\(102\) −4.59143 3.40663i −0.454620 0.337307i
\(103\) 7.88662 1.60084i 0.777092 0.157735i 0.205923 0.978568i \(-0.433980\pi\)
0.571169 + 0.820833i \(0.306490\pi\)
\(104\) −10.4176 + 10.7487i −1.02153 + 1.05400i
\(105\) 7.30989 6.01344i 0.713372 0.586852i
\(106\) −6.38920 + 1.71913i −0.620574 + 0.166976i
\(107\) −13.1883 0.495439i −1.27496 0.0478959i −0.608571 0.793499i \(-0.708257\pi\)
−0.666390 + 0.745603i \(0.732161\pi\)
\(108\) −11.2249 + 4.26321i −1.08011 + 0.410228i
\(109\) 4.51379 + 4.77546i 0.432342 + 0.457406i 0.905984 0.423312i \(-0.139133\pi\)
−0.473642 + 0.880718i \(0.657061\pi\)
\(110\) −12.6995 + 46.0478i −1.21085 + 4.39048i
\(111\) −1.13607 0.215833i −0.107831 0.0204860i
\(112\) −10.7447 + 11.6565i −1.01528 + 1.10143i
\(113\) −3.52297 7.16741i −0.331413 0.674253i 0.666015 0.745939i \(-0.267999\pi\)
−0.997427 + 0.0716855i \(0.977162\pi\)
\(114\) 0.302133 + 1.21323i 0.0282974 + 0.113629i
\(115\) −13.7830 + 0.345096i −1.28527 + 0.0321804i
\(116\) −12.3285 4.15988i −1.14467 0.386236i
\(117\) −1.56362 8.52080i −0.144556 0.787749i
\(118\) −30.1997 + 8.94215i −2.78011 + 0.823191i
\(119\) 13.9389 13.6796i 1.27778 1.25401i
\(120\) 9.94163 + 0.748002i 0.907543 + 0.0682829i
\(121\) 10.8601 7.84886i 0.987281 0.713533i
\(122\) −2.97966 + 8.31222i −0.269766 + 0.752553i
\(123\) 1.29630 + 2.26705i 0.116883 + 0.204413i
\(124\) −34.4619 4.33602i −3.09477 0.389386i
\(125\) −18.2674 13.9114i −1.63389 1.24427i
\(126\) −6.02930 28.7786i −0.537133 2.56380i
\(127\) 4.40534 2.48252i 0.390910 0.220288i −0.282970 0.959129i \(-0.591320\pi\)
0.673880 + 0.738841i \(0.264626\pi\)
\(128\) 20.0770 1.25809i 1.77457 0.111200i
\(129\) −0.0956529 0.162529i −0.00842177 0.0143098i
\(130\) −7.83502 + 29.8628i −0.687176 + 2.61914i
\(131\) 6.76717 4.51402i 0.591250 0.394392i −0.223075 0.974801i \(-0.571609\pi\)
0.814325 + 0.580409i \(0.197107\pi\)
\(132\) −7.58863 7.08342i −0.660505 0.616532i
\(133\) −4.25461 + 0.373720i −0.368921 + 0.0324057i
\(134\) 0.718224 + 0.252399i 0.0620451 + 0.0218040i
\(135\) −7.77697 + 9.33395i −0.669335 + 0.803338i
\(136\) 20.5688 0.257459i 1.76376 0.0220769i
\(137\) 3.55913 + 9.19722i 0.304077 + 0.785772i 0.997848 + 0.0655757i \(0.0208884\pi\)
−0.693771 + 0.720196i \(0.744052\pi\)
\(138\) 1.99505 4.05889i 0.169830 0.345515i
\(139\) 0.518267 + 0.111970i 0.0439588 + 0.00949720i 0.233101 0.972452i \(-0.425113\pi\)
−0.189142 + 0.981950i \(0.560571\pi\)
\(140\) −15.9316 + 67.5696i −1.34647 + 5.71067i
\(141\) 2.62121 2.44671i 0.220746 0.206050i
\(142\) 25.8792 28.7900i 2.17173 2.41600i
\(143\) 12.6650 9.39682i 1.05910 0.785802i
\(144\) 5.10845 8.20312i 0.425704 0.683594i
\(145\) −12.9340 + 2.45722i −1.07411 + 0.204061i
\(146\) 1.69227 20.7549i 0.140053 1.71769i
\(147\) −6.85110 + 0.343289i −0.565069 + 0.0283140i
\(148\) 7.58793 3.78880i 0.623724 0.311438i
\(149\) −6.24472 + 9.75353i −0.511587 + 0.799040i −0.997172 0.0751491i \(-0.976057\pi\)
0.485585 + 0.874189i \(0.338607\pi\)
\(150\) 12.7211 5.95887i 1.03867 0.486540i
\(151\) 7.73092 + 11.7484i 0.629133 + 0.956068i 0.999629 + 0.0272339i \(0.00866989\pi\)
−0.370496 + 0.928834i \(0.620812\pi\)
\(152\) −3.50953 2.81419i −0.284661 0.228261i
\(153\) −6.79113 + 9.77812i −0.549031 + 0.790514i
\(154\) 42.1745 32.9598i 3.39852 2.65598i
\(155\) −32.5320 + 13.2967i −2.61304 + 1.06801i
\(156\) −4.96173 4.51653i −0.397256 0.361611i
\(157\) 2.49652 5.24391i 0.199244 0.418509i −0.778695 0.627403i \(-0.784118\pi\)
0.977938 + 0.208894i \(0.0669863\pi\)
\(158\) −28.3285 + 25.7867i −2.25369 + 2.05148i
\(159\) −0.421795 1.39243i −0.0334505 0.110427i
\(160\) 2.35689 1.52989i 0.186329 0.120948i
\(161\) 12.6340 + 8.89231i 0.995697 + 0.700812i
\(162\) 6.08116 + 14.6165i 0.477781 + 1.14838i
\(163\) −23.7062 9.00362i −1.85681 0.705218i −0.970009 0.243069i \(-0.921846\pi\)
−0.886802 0.462149i \(-0.847079\pi\)
\(164\) −17.6375 7.46786i −1.37726 0.583142i
\(165\) −10.2080 2.47439i −0.794694 0.192631i
\(166\) 7.87605 18.2820i 0.611300 1.41896i
\(167\) 0.437333 13.9719i 0.0338419 1.08118i −0.823785 0.566903i \(-0.808142\pi\)
0.857627 0.514273i \(-0.171938\pi\)
\(168\) −8.44722 7.31115i −0.651717 0.564067i
\(169\) −2.23323 + 1.70070i −0.171787 + 0.130823i
\(170\) 36.6988 21.2903i 2.81467 1.63289i
\(171\) 2.50542 0.707870i 0.191594 0.0541322i
\(172\) 1.28033 + 0.523302i 0.0976240 + 0.0399014i
\(173\) −4.82859 10.1424i −0.367111 0.771113i 0.632884 0.774247i \(-0.281871\pi\)
−0.999995 + 0.00313373i \(0.999003\pi\)
\(174\) 1.25203 4.13319i 0.0949158 0.313337i
\(175\) 13.3359 + 46.0964i 1.00810 + 3.48456i
\(176\) 17.5037 + 1.75854i 1.31939 + 0.132555i
\(177\) −2.17312 6.57597i −0.163342 0.494280i
\(178\) 8.62571 11.7790i 0.646524 0.882873i
\(179\) 5.50860 10.2192i 0.411732 0.763817i −0.587227 0.809422i \(-0.699781\pi\)
0.998960 + 0.0456051i \(0.0145216\pi\)
\(180\) 1.85325 42.2777i 0.138133 3.15119i
\(181\) −1.58642 23.0087i −0.117918 1.71022i −0.572819 0.819682i \(-0.694150\pi\)
0.454902 0.890542i \(-0.349674\pi\)
\(182\) 26.9902 21.6426i 2.00065 1.60426i
\(183\) −1.84741 0.597705i −0.136565 0.0441836i
\(184\) 3.13716 + 15.9673i 0.231275 + 1.17713i
\(185\) 4.80667 7.10911i 0.353394 0.522672i
\(186\) 1.08062 11.4778i 0.0792352 0.841593i
\(187\) −21.4281 3.24282i −1.56697 0.237139i
\(188\) −4.42251 + 25.9238i −0.322545 + 1.89068i
\(189\) 13.2309 3.20712i 0.962406 0.233284i
\(190\) −9.15579 1.50304i −0.664231 0.109042i
\(191\) −0.0114052 + 0.202281i −0.000825251 + 0.0146365i −0.998800 0.0489738i \(-0.984405\pi\)
0.997975 + 0.0636103i \(0.0202615\pi\)
\(192\) 0.443790 + 4.71370i 0.0320278 + 0.340182i
\(193\) 9.55074 + 5.22568i 0.687477 + 0.376153i 0.785355 0.619046i \(-0.212480\pi\)
−0.0978779 + 0.995198i \(0.531205\pi\)
\(194\) −2.96035 + 3.83724i −0.212541 + 0.275498i
\(195\) −6.61733 1.51659i −0.473877 0.108605i
\(196\) 38.4501 32.4461i 2.74644 2.31758i
\(197\) −12.2884 + 0.924573i −0.875514 + 0.0658731i −0.505168 0.863021i \(-0.668570\pi\)
−0.370346 + 0.928894i \(0.620761\pi\)
\(198\) −21.5069 + 24.5368i −1.52843 + 1.74376i
\(199\) 0.118335 + 18.9086i 0.00838853 + 1.34040i 0.746349 + 0.665555i \(0.231805\pi\)
−0.737961 + 0.674844i \(0.764211\pi\)
\(200\) −23.4238 + 44.7874i −1.65631 + 3.16695i
\(201\) −0.0505328 + 0.159592i −0.00356431 + 0.0112568i
\(202\) −12.5647 7.08051i −0.884046 0.498183i
\(203\) 13.2802 + 6.42469i 0.932088 + 0.450925i
\(204\) 0.403792 + 9.21160i 0.0282711 + 0.644941i
\(205\) −19.2571 + 2.17847i −1.34497 + 0.152151i
\(206\) −15.1288 12.4456i −1.05408 0.867129i
\(207\) −8.57777 3.88788i −0.596196 0.270227i
\(208\) 11.3266 + 0.994921i 0.785362 + 0.0689854i
\(209\) 3.16834 + 3.52471i 0.219159 + 0.243809i
\(210\) −22.5817 4.58368i −1.55829 0.316304i
\(211\) 3.89167 2.66691i 0.267914 0.183598i −0.423828 0.905743i \(-0.639314\pi\)
0.691742 + 0.722145i \(0.256844\pi\)
\(212\) 8.64846 + 6.25045i 0.593978 + 0.429283i
\(213\) 6.50568 + 5.48983i 0.445762 + 0.376157i
\(214\) 19.3044 + 25.6809i 1.31962 + 1.75551i
\(215\) 1.38856 0.174709i 0.0946987 0.0119151i
\(216\) 12.4032 + 7.19552i 0.843929 + 0.489593i
\(217\) 38.1543 + 9.75566i 2.59009 + 0.662257i
\(218\) 2.09620 15.8583i 0.141973 1.07406i
\(219\) 4.57328 + 0.229154i 0.309034 + 0.0154848i
\(220\) 70.5580 30.9219i 4.75702 2.08475i
\(221\) −13.8749 1.92245i −0.933326 0.129318i
\(222\) 1.33573 + 2.47796i 0.0896486 + 0.166310i
\(223\) 6.63513 3.20994i 0.444321 0.214953i −0.199863 0.979824i \(-0.564050\pi\)
0.644184 + 0.764871i \(0.277197\pi\)
\(224\) −3.14251 0.196921i −0.209968 0.0131573i
\(225\) −13.2310 26.0882i −0.882066 1.73922i
\(226\) −8.13667 + 17.6571i −0.541243 + 1.17453i
\(227\) 8.55598 1.96090i 0.567880 0.130149i 0.0702360 0.997530i \(-0.477625\pi\)
0.497644 + 0.867381i \(0.334198\pi\)
\(228\) 1.21159 1.61180i 0.0802398 0.106744i
\(229\) 10.6921 18.6990i 0.706553 1.23566i −0.256551 0.966531i \(-0.582586\pi\)
0.963103 0.269131i \(-0.0867366\pi\)
\(230\) 21.8054 + 25.5146i 1.43780 + 1.68238i
\(231\) 7.53425 + 9.04263i 0.495717 + 0.594962i
\(232\) 5.42601 + 14.5603i 0.356235 + 0.955933i
\(233\) −22.3099 0.279253i −1.46157 0.0182945i −0.722244 0.691638i \(-0.756889\pi\)
−0.739329 + 0.673344i \(0.764857\pi\)
\(234\) −13.7011 + 16.0318i −0.895671 + 1.04803i
\(235\) 8.97912 + 25.0486i 0.585733 + 1.63399i
\(236\) 41.9005 + 28.7138i 2.72749 + 1.86911i
\(237\) −5.86244 6.04882i −0.380807 0.392913i
\(238\) −47.2414 5.34422i −3.06221 0.346414i
\(239\) 0.196866 2.85526i 0.0127342 0.184691i −0.986981 0.160836i \(-0.948581\pi\)
0.999715 0.0238556i \(-0.00759419\pi\)
\(240\) −4.31997 6.22005i −0.278853 0.401502i
\(241\) 1.08566 + 0.336300i 0.0699337 + 0.0216630i 0.330663 0.943749i \(-0.392728\pi\)
−0.260729 + 0.965412i \(0.583963\pi\)
\(242\) −31.4986 8.47523i −2.02480 0.544809i
\(243\) −11.5275 + 5.22485i −0.739490 + 0.335175i
\(244\) 13.4354 4.72148i 0.860113 0.302262i
\(245\) 17.7762 47.7012i 1.13568 3.04752i
\(246\) 2.29432 5.92881i 0.146281 0.378007i
\(247\) 2.07617 + 2.25234i 0.132104 + 0.143313i
\(248\) 21.9270 + 35.2103i 1.39237 + 2.23586i
\(249\) 4.07233 + 1.60528i 0.258073 + 0.101730i
\(250\) 1.74873 + 55.8683i 0.110600 + 3.53342i
\(251\) −1.32742 + 1.63434i −0.0837857 + 0.103158i −0.816403 0.577482i \(-0.804035\pi\)
0.732618 + 0.680640i \(0.238298\pi\)
\(252\) −29.8965 + 36.8091i −1.88330 + 2.31875i
\(253\) −0.536363 17.1357i −0.0337209 1.07731i
\(254\) −11.4520 4.51428i −0.718562 0.283251i
\(255\) 4.93178 + 7.91943i 0.308840 + 0.495934i
\(256\) −21.2008 22.9998i −1.32505 1.43749i
\(257\) 2.55393 6.59966i 0.159310 0.411675i −0.829951 0.557836i \(-0.811632\pi\)
0.989261 + 0.146161i \(0.0466916\pi\)
\(258\) −0.160311 + 0.430184i −0.00998052 + 0.0267821i
\(259\) −9.07236 + 3.18822i −0.563729 + 0.198106i
\(260\) 45.3505 20.5552i 2.81252 1.27478i
\(261\) −8.68402 2.33659i −0.537527 0.144631i
\(262\) −18.9155 5.85936i −1.16860 0.361993i
\(263\) −4.16956 6.00348i −0.257106 0.370190i 0.671659 0.740861i \(-0.265582\pi\)
−0.928765 + 0.370670i \(0.879128\pi\)
\(264\) −0.852734 + 12.3677i −0.0524821 + 0.761178i
\(265\) 10.7285 + 1.21367i 0.659047 + 0.0745551i
\(266\) 7.23589 + 7.46592i 0.443661 + 0.457765i
\(267\) 2.64820 + 1.81478i 0.162067 + 0.111063i
\(268\) −0.414299 1.15575i −0.0253073 0.0705986i
\(269\) −8.48262 + 9.92558i −0.517194 + 0.605173i −0.955985 0.293416i \(-0.905208\pi\)
0.438791 + 0.898589i \(0.355407\pi\)
\(270\) 29.5730 + 0.370164i 1.79975 + 0.0225275i
\(271\) −8.48536 22.7699i −0.515449 1.38317i −0.889997 0.455966i \(-0.849294\pi\)
0.374549 0.927207i \(-0.377798\pi\)
\(272\) −10.0021 12.0046i −0.606468 0.727885i
\(273\) 4.94243 + 5.78318i 0.299130 + 0.350014i
\(274\) 11.9167 20.8406i 0.719914 1.25903i
\(275\) 31.9961 42.5649i 1.92944 2.56676i
\(276\) −7.10967 + 1.62942i −0.427952 + 0.0980798i
\(277\) −2.06311 + 4.47708i −0.123960 + 0.269002i −0.960174 0.279402i \(-0.909864\pi\)
0.836214 + 0.548404i \(0.184764\pi\)
\(278\) −0.583825 1.15116i −0.0350155 0.0690420i
\(279\) −23.9593 1.50137i −1.43440 0.0898845i
\(280\) 74.6310 36.1049i 4.46006 2.15768i
\(281\) 14.1476 + 26.2457i 0.843978 + 1.56569i 0.824489 + 0.565879i \(0.191463\pi\)
0.0194891 + 0.999810i \(0.493796\pi\)
\(282\) −8.64616 1.19798i −0.514871 0.0713385i
\(283\) −18.3021 + 8.02087i −1.08795 + 0.476791i −0.866905 0.498473i \(-0.833894\pi\)
−0.221043 + 0.975264i \(0.570946\pi\)
\(284\) −62.3543 3.12439i −3.70005 0.185399i
\(285\) 0.267361 2.02266i 0.0158371 0.119812i
\(286\) −37.1936 9.51001i −2.19930 0.562338i
\(287\) 18.7844 + 10.8975i 1.10881 + 0.643257i
\(288\) 1.90435 0.239606i 0.112215 0.0141189i
\(289\) 1.35165 + 1.79812i 0.0795087 + 0.105772i
\(290\) 24.4934 + 20.6688i 1.43830 + 1.21371i
\(291\) −0.863739 0.624246i −0.0506333 0.0365939i
\(292\) −27.7029 + 18.9844i −1.62119 + 1.11098i
\(293\) 19.8269 + 4.02450i 1.15830 + 0.235114i 0.739624 0.673021i \(-0.235003\pi\)
0.418678 + 0.908135i \(0.362494\pi\)
\(294\) 11.1633 + 12.4189i 0.651058 + 0.724287i
\(295\) 51.1988 + 4.49725i 2.98091 + 0.261840i
\(296\) −9.22514 4.18131i −0.536201 0.243034i
\(297\) −11.6667 9.59758i −0.676973 0.556908i
\(298\) 28.0142 3.16913i 1.62282 0.183583i
\(299\) −0.485264 11.0702i −0.0280635 0.640206i
\(300\) −20.3941 9.86623i −1.17745 0.569627i
\(301\) −1.36624 0.769912i −0.0787487 0.0443770i
\(302\) 10.3347 32.6390i 0.594696 1.87816i
\(303\) 1.46976 2.81025i 0.0844355 0.161445i
\(304\) 0.0213845 + 3.41701i 0.00122648 + 0.195979i
\(305\) 9.49790 10.8360i 0.543848 0.620466i
\(306\) 28.8993 2.17436i 1.65206 0.124300i
\(307\) 10.4142 8.78806i 0.594372 0.501561i −0.296974 0.954886i \(-0.595977\pi\)
0.891345 + 0.453325i \(0.149762\pi\)
\(308\) −84.1429 19.2842i −4.79449 1.09882i
\(309\) 2.63130 3.41073i 0.149690 0.194030i
\(310\) 75.0534 + 41.0655i 4.26275 + 2.33236i
\(311\) 2.67786 + 28.4428i 0.151848 + 1.61284i 0.659787 + 0.751452i \(0.270646\pi\)
−0.507940 + 0.861393i \(0.669593\pi\)
\(312\) −0.451061 + 7.99995i −0.0255363 + 0.452908i
\(313\) 28.3101 + 4.64747i 1.60018 + 0.262691i 0.894909 0.446248i \(-0.147240\pi\)
0.705270 + 0.708939i \(0.250826\pi\)
\(314\) −13.7404 + 3.33062i −0.775413 + 0.187958i
\(315\) −8.06892 + 47.2982i −0.454632 + 2.66495i
\(316\) 61.0849 + 9.24431i 3.43630 + 0.520033i
\(317\) −2.33264 + 24.7761i −0.131014 + 1.39156i 0.646604 + 0.762826i \(0.276189\pi\)
−0.777618 + 0.628737i \(0.783572\pi\)
\(318\) −1.98379 + 2.93404i −0.111245 + 0.164533i
\(319\) −3.15606 16.0635i −0.176706 0.899385i
\(320\) −33.4290 10.8155i −1.86874 0.604605i
\(321\) −5.51151 + 4.41952i −0.307622 + 0.246673i
\(322\) −2.58699 37.5205i −0.144167 2.09093i
\(323\) 0.184352 4.20559i 0.0102576 0.234005i
\(324\) 12.1147 22.4744i 0.673039 1.24858i
\(325\) 20.3343 27.7679i 1.12795 1.54029i
\(326\) 19.3696 + 58.6133i 1.07278 + 3.24629i
\(327\) 3.49986 + 0.351618i 0.193543 + 0.0194445i
\(328\) 6.35671 + 21.9723i 0.350990 + 1.21322i
\(329\) 8.64444 28.5371i 0.476583 1.57330i
\(330\) 10.9911 + 23.0866i 0.605038 + 1.27087i
\(331\) 11.6074 + 4.74425i 0.638001 + 0.260767i 0.674168 0.738578i \(-0.264503\pi\)
−0.0361661 + 0.999346i \(0.511515\pi\)
\(332\) −30.8947 + 8.72887i −1.69557 + 0.479059i
\(333\) 5.07039 2.94151i 0.277855 0.161194i
\(334\) −27.0724 + 20.6168i −1.48133 + 1.12810i
\(335\) −0.939319 0.812990i −0.0513205 0.0444184i
\(336\) −0.265494 + 8.48197i −0.0144839 + 0.462729i
\(337\) 9.56471 22.2018i 0.521023 1.20941i −0.430712 0.902489i \(-0.641738\pi\)
0.951736 0.306919i \(-0.0992982\pi\)
\(338\) 6.64107 + 1.60977i 0.361226 + 0.0875601i
\(339\) −3.93676 1.66686i −0.213815 0.0905312i
\(340\) −63.9668 24.2946i −3.46908 1.31756i
\(341\) −16.7868 40.3482i −0.909056 2.18498i
\(342\) −5.18275 3.64783i −0.280251 0.197252i
\(343\) −21.7109 + 14.0928i −1.17228 + 0.760939i
\(344\) −0.478868 1.58084i −0.0258188 0.0852332i
\(345\) −5.45775 + 4.96805i −0.293836 + 0.267471i
\(346\) −11.7544 + 24.6900i −0.631921 + 1.32734i
\(347\) −3.56301 3.24332i −0.191273 0.174110i 0.571862 0.820350i \(-0.306221\pi\)
−0.763135 + 0.646239i \(0.776341\pi\)
\(348\) −6.44721 + 2.63514i −0.345607 + 0.141258i
\(349\) 8.56402 6.69287i 0.458422 0.358261i −0.359929 0.932980i \(-0.617199\pi\)
0.818351 + 0.574719i \(0.194888\pi\)
\(350\) 66.6363 95.9454i 3.56186 5.12850i
\(351\) −7.61770 6.10841i −0.406603 0.326043i
\(352\) 1.92067 + 2.91876i 0.102372 + 0.155570i
\(353\) 25.5380 11.9626i 1.35925 0.636707i 0.399283 0.916828i \(-0.369259\pi\)
0.959965 + 0.280121i \(0.0903746\pi\)
\(354\) −9.09075 + 14.1987i −0.483168 + 0.754653i
\(355\) −56.5173 + 28.2202i −2.99962 + 1.49777i
\(356\) −23.5160 + 1.17832i −1.24635 + 0.0624509i
\(357\) 0.849587 10.4198i 0.0449649 0.551474i
\(358\) −27.7644 + 5.27473i −1.46739 + 0.278778i
\(359\) −6.45824 + 10.3706i −0.340853 + 0.547340i −0.973959 0.226725i \(-0.927198\pi\)
0.633106 + 0.774065i \(0.281780\pi\)
\(360\) −40.5862 + 30.1130i −2.13908 + 1.58710i
\(361\) 12.0863 13.4457i 0.636119 0.707669i
\(362\) −41.0424 + 38.3100i −2.15714 + 2.01353i
\(363\) 1.64605 6.98126i 0.0863950 0.366421i
\(364\) −54.5364 11.7825i −2.85848 0.617568i
\(365\) −14.9896 + 30.4961i −0.784593 + 1.59624i
\(366\) 1.70587 + 4.40818i 0.0891674 + 0.230419i
\(367\) −12.6357 + 0.158161i −0.659580 + 0.00825594i −0.341606 0.939843i \(-0.610971\pi\)
−0.317974 + 0.948099i \(0.603003\pi\)
\(368\) 7.91236 9.49644i 0.412460 0.495036i
\(369\) −12.4891 4.38895i −0.650159 0.228480i
\(370\) −20.8103 + 1.82796i −1.08188 + 0.0950310i
\(371\) −8.84441 8.25560i −0.459179 0.428609i
\(372\) −15.4674 + 10.3175i −0.801946 + 0.534936i
\(373\) −8.73724 + 33.3016i −0.452397 + 1.72429i 0.212325 + 0.977199i \(0.431896\pi\)
−0.664722 + 0.747090i \(0.731450\pi\)
\(374\) 26.7588 + 45.4672i 1.38367 + 2.35105i
\(375\) −12.2671 + 0.768695i −0.633468 + 0.0396953i
\(376\) 27.3607 15.4185i 1.41102 0.795146i
\(377\) −2.16967 10.3561i −0.111744 0.533367i
\(378\) −26.3661 20.0789i −1.35613 1.03275i
\(379\) 29.7906 + 3.74827i 1.53024 + 0.192536i 0.844597 0.535402i \(-0.179840\pi\)
0.685643 + 0.727938i \(0.259521\pi\)
\(380\) 7.42772 + 12.9900i 0.381034 + 0.666375i
\(381\) 0.913393 2.54805i 0.0467945 0.130540i
\(382\) 0.399732 0.288897i 0.0204521 0.0147812i
\(383\) 1.51904 + 0.114292i 0.0776194 + 0.00584003i 0.113780 0.993506i \(-0.463704\pi\)
−0.0361607 + 0.999346i \(0.511513\pi\)
\(384\) 7.68540 7.54245i 0.392194 0.384899i
\(385\) −83.7513 + 24.7988i −4.26836 + 1.26386i
\(386\) −4.78345 26.0671i −0.243471 1.32678i
\(387\) 0.905789 + 0.305631i 0.0460439 + 0.0155361i
\(388\) 7.81369 0.195638i 0.396680 0.00993201i
\(389\) 2.33921 + 9.39317i 0.118602 + 0.476253i 0.999993 + 0.00386360i \(0.00122983\pi\)
−0.881390 + 0.472389i \(0.843392\pi\)
\(390\) 7.29013 + 14.8316i 0.369150 + 0.751029i
\(391\) −10.3208 + 11.1965i −0.521944 + 0.566234i
\(392\) −59.0263 11.2139i −2.98128 0.566389i
\(393\) 1.15768 4.19768i 0.0583971 0.211745i
\(394\) 20.6066 + 21.8012i 1.03814 + 1.09833i
\(395\) 58.4384 22.1949i 2.94035 1.11675i
\(396\) 52.5843 + 1.97541i 2.64246 + 0.0992682i
\(397\) 15.9697 4.29692i 0.801496 0.215656i 0.164353 0.986402i \(-0.447447\pi\)
0.637144 + 0.770745i \(0.280116\pi\)
\(398\) 35.5481 29.2434i 1.78186 1.46584i
\(399\) −1.59113 + 1.64171i −0.0796560 + 0.0821883i
\(400\) 37.6253 7.63725i 1.88127 0.381862i
\(401\) −8.95072 6.64102i −0.446978 0.331637i 0.348830 0.937186i \(-0.386579\pi\)
−0.795808 + 0.605549i \(0.792954\pi\)
\(402\) 0.379119 0.149446i 0.0189087 0.00745367i
\(403\) −11.1755 25.9407i −0.556690 1.29220i
\(404\) 3.91152 + 22.9285i 0.194606 + 1.14073i
\(405\) −0.484984 25.8291i −0.0240990 1.28346i
\(406\) −8.24158 34.9544i −0.409023 1.73476i
\(407\) 8.87718 + 5.92150i 0.440025 + 0.293518i
\(408\) 8.23501 7.30975i 0.407694 0.361886i
\(409\) 17.3522 + 19.7968i 0.858010 + 0.978888i 0.999940 0.0109887i \(-0.00349788\pi\)
−0.141929 + 0.989877i \(0.545331\pi\)
\(410\) 33.6710 + 33.0447i 1.66289 + 1.63196i
\(411\) 4.66247 + 2.47575i 0.229983 + 0.122120i
\(412\) −0.197720 + 31.5936i −0.00974097 + 1.55650i
\(413\) −43.0719 38.2325i −2.11943 1.88130i
\(414\) 5.81810 + 22.1754i 0.285944 + 1.08986i
\(415\) −22.8976 + 23.0414i −1.12400 + 1.13106i
\(416\) 1.26491 + 1.87081i 0.0620174 + 0.0917243i
\(417\) 0.248993 0.136236i 0.0121932 0.00667152i
\(418\) 1.79770 11.3964i 0.0879284 0.557416i
\(419\) −1.92615 + 0.341014i −0.0940986 + 0.0166596i −0.221183 0.975232i \(-0.570992\pi\)
0.127084 + 0.991892i \(0.459438\pi\)
\(420\) 17.2223 + 32.9298i 0.840361 + 1.60681i
\(421\) 1.36673 0.725729i 0.0666104 0.0353699i −0.435342 0.900265i \(-0.643372\pi\)
0.501952 + 0.864896i \(0.332615\pi\)
\(422\) −11.0121 3.26068i −0.536060 0.158727i
\(423\) −1.93009 + 18.0734i −0.0938441 + 0.878758i
\(424\) −0.717360 12.7230i −0.0348381 0.617883i
\(425\) −46.7648 + 7.07716i −2.26842 + 0.343293i
\(426\) 0.389025 20.7185i 0.0188483 1.00382i
\(427\) −15.7825 + 3.40977i −0.763769 + 0.165010i
\(428\) 12.5209 50.2780i 0.605219 2.43028i
\(429\) 1.83429 8.24007i 0.0885606 0.397834i
\(430\) −2.46120 2.35567i −0.118689 0.113601i
\(431\) −8.19341 23.7900i −0.394663 1.14593i −0.949446 0.313930i \(-0.898354\pi\)
0.554783 0.831995i \(-0.312801\pi\)
\(432\) −1.69718 10.7591i −0.0816554 0.517648i
\(433\) 21.4848 + 27.8489i 1.03249 + 1.33833i 0.939456 + 0.342670i \(0.111331\pi\)
0.0930380 + 0.995663i \(0.470342\pi\)
\(434\) −40.1227 87.0686i −1.92595 4.17943i
\(435\) −4.37421 + 5.52551i −0.209727 + 0.264928i
\(436\) −21.9838 + 13.5001i −1.05283 + 0.646536i
\(437\) 3.29859 0.457039i 0.157793 0.0218631i
\(438\) −6.58578 8.99334i −0.314681 0.429719i
\(439\) −3.56941 + 5.00449i −0.170358 + 0.238851i −0.890508 0.454968i \(-0.849651\pi\)
0.720150 + 0.693819i \(0.244073\pi\)
\(440\) −81.7874 42.1251i −3.89906 2.00823i
\(441\) 25.1204 24.0434i 1.19621 1.14492i
\(442\) 17.6617 + 29.1684i 0.840080 + 1.38740i
\(443\) 22.1533 23.4375i 1.05253 1.11355i 0.0592033 0.998246i \(-0.481144\pi\)
0.993330 0.115304i \(-0.0367843\pi\)
\(444\) 1.74394 4.19167i 0.0827635 0.198928i
\(445\) −20.1440 + 12.7202i −0.954919 + 0.602997i
\(446\) −16.2487 7.61129i −0.769396 0.360405i
\(447\) 0.889255 + 6.13534i 0.0420603 + 0.290192i
\(448\) 22.8619 + 32.0535i 1.08012 + 1.51439i
\(449\) 7.16889 21.6934i 0.338321 1.02378i −0.630537 0.776159i \(-0.717165\pi\)
0.968858 0.247617i \(-0.0796474\pi\)
\(450\) −28.9901 + 65.0398i −1.36661 + 3.06601i
\(451\) −2.85865 23.9281i −0.134609 1.12673i
\(452\) 30.3774 7.76716i 1.42883 0.365337i
\(453\) 7.24469 + 2.04689i 0.340385 + 0.0961711i
\(454\) −16.8365 13.1579i −0.790175 0.617530i
\(455\) −53.9267 + 16.7046i −2.52812 + 0.783124i
\(456\) −2.40633 + 0.0903976i −0.112687 + 0.00423325i
\(457\) −12.4074 + 5.25340i −0.580394 + 0.245744i −0.660229 0.751065i \(-0.729541\pi\)
0.0798351 + 0.996808i \(0.474561\pi\)
\(458\) −51.7430 + 8.49430i −2.41779 + 0.396913i
\(459\) 1.42488 + 13.3426i 0.0665076 + 0.622778i
\(460\) 9.76980 53.2398i 0.455519 2.48232i
\(461\) −12.9302 + 23.2847i −0.602219 + 1.08447i 0.384667 + 0.923055i \(0.374316\pi\)
−0.986886 + 0.161419i \(0.948393\pi\)
\(462\) 5.52381 28.1148i 0.256991 1.30802i
\(463\) −14.7502 14.8428i −0.685499 0.689803i 0.277066 0.960851i \(-0.410638\pi\)
−0.962566 + 0.271048i \(0.912630\pi\)
\(464\) 5.98664 10.1722i 0.277923 0.472232i
\(465\) −8.50929 + 16.7782i −0.394609 + 0.778072i
\(466\) 33.7122 + 42.5853i 1.56169 + 1.97273i
\(467\) −13.0129 4.75681i −0.602164 0.220119i 0.0241256 0.999709i \(-0.492320\pi\)
−0.626290 + 0.779590i \(0.715427\pi\)
\(468\) 34.0005 + 0.851299i 1.57167 + 0.0393513i
\(469\) 0.302479 + 1.35881i 0.0139672 + 0.0627438i
\(470\) 33.5512 55.4100i 1.54760 2.55587i
\(471\) −0.826551 2.99703i −0.0380855 0.138096i
\(472\) −4.92966 60.4599i −0.226906 2.78289i
\(473\) 0.228046 + 1.72523i 0.0104856 + 0.0793261i
\(474\) −2.43250 + 20.3610i −0.111728 + 0.935211i
\(475\) 8.88111 + 5.30191i 0.407493 + 0.243268i
\(476\) 41.3434 + 64.5737i 1.89497 + 2.95973i
\(477\) 6.23588 + 3.93773i 0.285521 + 0.180296i
\(478\) −5.69741 + 4.01007i −0.260594 + 0.183416i
\(479\) −8.12663 + 20.2437i −0.371315 + 0.924958i 0.618908 + 0.785464i \(0.287576\pi\)
−0.990223 + 0.139494i \(0.955452\pi\)
\(480\) 0.418010 1.44487i 0.0190794 0.0659491i
\(481\) 5.78510 + 3.75517i 0.263778 + 0.171221i
\(482\) −1.03074 2.56759i −0.0469487 0.116951i
\(483\) 8.22869 0.826707i 0.374418 0.0376165i
\(484\) 21.4169 + 48.0492i 0.973496 + 2.18406i
\(485\) 6.79058 4.05389i 0.308344 0.184077i
\(486\) 27.5645 + 13.7635i 1.25035 + 0.624326i
\(487\) 31.2366 + 13.6894i 1.41546 + 0.620324i 0.962519 0.271215i \(-0.0874253\pi\)
0.452945 + 0.891539i \(0.350374\pi\)
\(488\) −14.4923 8.89961i −0.656035 0.402866i
\(489\) −12.7491 + 4.66040i −0.576536 + 0.210750i
\(490\) −117.418 + 39.6191i −5.30439 + 1.78981i
\(491\) 1.26421 + 2.27658i 0.0570529 + 0.102741i 0.901265 0.433269i \(-0.142640\pi\)
−0.844212 + 0.536010i \(0.819931\pi\)
\(492\) −9.75485 + 3.15605i −0.439783 + 0.142286i
\(493\) −7.99305 + 12.1467i −0.359989 + 0.547061i
\(494\) 1.06964 7.37987i 0.0481253 0.332036i
\(495\) 47.3343 24.3798i 2.12752 1.09579i
\(496\) 10.2601 29.7908i 0.460692 1.33765i
\(497\) 69.7035 + 12.3406i 3.12663 + 0.553551i
\(498\) −3.21663 10.1587i −0.144141 0.455223i
\(499\) −1.86854 + 8.91878i −0.0836472 + 0.399259i −0.999999 0.00111399i \(-0.999645\pi\)
0.916352 + 0.400373i \(0.131120\pi\)
\(500\) 68.1614 58.9944i 3.04827 2.63831i
\(501\) −4.71753 5.80830i −0.210764 0.259496i
\(502\) 5.12547 0.228761
\(503\) 22.3538 1.81889i 0.996706 0.0811002i
\(504\) 56.6307 2.52253
\(505\) 14.8377 + 18.2684i 0.660267 + 0.812932i
\(506\) −31.5563 + 27.3123i −1.40285 + 1.21418i
\(507\) −0.308118 + 1.47069i −0.0136840 + 0.0653156i
\(508\) 5.99277 + 18.9263i 0.265886 + 0.839719i
\(509\) −34.3382 6.07938i −1.52201 0.269464i −0.650376 0.759612i \(-0.725389\pi\)
−0.871639 + 0.490149i \(0.836942\pi\)
\(510\) 7.39553 21.4733i 0.327480 0.950855i
\(511\) 33.8517 17.4355i 1.49751 0.771301i
\(512\) −5.15160 + 35.5430i −0.227671 + 1.57080i
\(513\) 1.61307 2.45132i 0.0712190 0.108229i
\(514\) −16.3903 + 5.30286i −0.722945 + 0.233899i
\(515\) 15.5197 + 27.9479i 0.683881 + 1.23153i
\(516\) 0.701530 0.236710i 0.0308832 0.0104206i
\(517\) −31.0767 + 11.3599i −1.36675 + 0.499610i
\(518\) 19.9481 + 12.2500i 0.876470 + 0.538234i
\(519\) −5.50739 2.41360i −0.241748 0.105945i
\(520\) −53.1989 26.5632i −2.33292 1.16488i
\(521\) −3.06667 + 1.83076i −0.134353 + 0.0802070i −0.578198 0.815897i \(-0.696244\pi\)
0.443845 + 0.896104i \(0.353614\pi\)
\(522\) 8.91249 + 19.9953i 0.390089 + 0.875172i
\(523\) 1.59569 0.160314i 0.0697748 0.00701003i −0.0650143 0.997884i \(-0.520709\pi\)
0.134789 + 0.990874i \(0.456964\pi\)
\(524\) 11.8976 + 29.6372i 0.519748 + 1.29471i
\(525\) 21.5459 + 13.9857i 0.940340 + 0.610385i
\(526\) −4.94497 + 17.0925i −0.215611 + 0.745270i
\(527\) −14.4606 + 36.0218i −0.629914 + 1.56914i
\(528\) 7.70065 5.42003i 0.335128 0.235877i
\(529\) 9.26188 + 5.84854i 0.402691 + 0.254284i
\(530\) −14.1721 22.1352i −0.615596 0.961491i
\(531\) 30.1441 + 17.9957i 1.30814 + 0.780945i
\(532\) 1.98908 16.6495i 0.0862378 0.721845i
\(533\) −2.04108 15.4413i −0.0884088 0.668836i
\(534\) −0.635103 7.78924i −0.0274836 0.337073i
\(535\) −13.9384 50.5397i −0.602608 2.18502i
\(536\) −0.759437 + 1.25422i −0.0328027 + 0.0541739i
\(537\) −1.35032 6.06594i −0.0582705 0.261765i
\(538\) 31.7739 + 0.795550i 1.36987 + 0.0342986i
\(539\) 59.4521 + 21.7325i 2.56078 + 0.936083i
\(540\) −29.6055 37.3977i −1.27402 1.60934i
\(541\) 15.1466 29.8654i 0.651204 1.28401i −0.293458 0.955972i \(-0.594806\pi\)
0.944663 0.328043i \(-0.106389\pi\)
\(542\) −30.0031 + 50.9797i −1.28874 + 2.18977i
\(543\) −8.70237 8.75700i −0.373454 0.375799i
\(544\) 0.598306 3.04522i 0.0256522 0.130563i
\(545\) −12.6725 + 22.8207i −0.542832 + 0.977531i
\(546\) 3.34253 18.2149i 0.143047 0.779524i
\(547\) −1.46810 13.7473i −0.0627714 0.587792i −0.981306 0.192452i \(-0.938356\pi\)
0.918535 0.395340i \(-0.129373\pi\)
\(548\) −38.2061 + 6.27205i −1.63209 + 0.267929i
\(549\) 9.06365 3.83763i 0.386827 0.163786i
\(550\) −129.536 + 4.86623i −5.52344 + 0.207497i
\(551\) 3.03748 0.940904i 0.129401 0.0400839i
\(552\) 6.86334 + 5.36377i 0.292123 + 0.228297i
\(553\) −67.4093 19.0455i −2.86653 0.809899i
\(554\) 11.6262 2.97270i 0.493950 0.126298i
\(555\) −0.544925 4.56125i −0.0231308 0.193614i
\(556\) −0.847479 + 1.90133i −0.0359411 + 0.0806345i
\(557\) −0.619631 + 1.87503i −0.0262546 + 0.0794477i −0.961793 0.273776i \(-0.911727\pi\)
0.935539 + 0.353224i \(0.114915\pi\)
\(558\) 33.9342 + 47.5775i 1.43655 + 2.01412i
\(559\) 0.161339 + 1.11315i 0.00682393 + 0.0470811i
\(560\) −57.0289 26.7138i −2.40991 1.12886i
\(561\) −9.80898 + 6.19402i −0.414136 + 0.261512i
\(562\) 27.8809 67.0136i 1.17608 2.82680i
\(563\) 12.2003 12.9075i 0.514180 0.543987i −0.416829 0.908985i \(-0.636858\pi\)
0.931008 + 0.364998i \(0.118930\pi\)
\(564\) 7.29144 + 12.0419i 0.307025 + 0.507054i
\(565\) 22.9193 21.9366i 0.964221 0.922880i
\(566\) 43.2451 + 22.2737i 1.81773 + 0.936232i
\(567\) −16.8096 + 23.5679i −0.705936 + 0.989759i
\(568\) 44.0504 + 60.1539i 1.84831 + 2.52400i
\(569\) 9.76893 1.35354i 0.409535 0.0567435i 0.0704872 0.997513i \(-0.477545\pi\)
0.339048 + 0.940769i \(0.389895\pi\)
\(570\) −4.23233 + 2.59904i −0.177273 + 0.108862i
\(571\) 23.9109 30.2043i 1.00064 1.26401i 0.0363017 0.999341i \(-0.488442\pi\)
0.964339 0.264670i \(-0.0852629\pi\)
\(572\) 25.9121 + 56.2308i 1.08344 + 2.35113i
\(573\) 0.0662455 + 0.0858682i 0.00276744 + 0.00358720i
\(574\) −8.23727 52.2196i −0.343817 2.17960i
\(575\) −12.1837 35.3760i −0.508095 1.47528i
\(576\) −17.3380 16.5947i −0.722418 0.691445i
\(577\) −2.48073 + 11.1440i −0.103274 + 0.463932i 0.896507 + 0.443029i \(0.146096\pi\)
−0.999782 + 0.0209026i \(0.993346\pi\)
\(578\) 1.32329 5.31370i 0.0550414 0.221021i
\(579\) 5.69628 1.23067i 0.236729 0.0511448i
\(580\) 0.970336 51.6778i 0.0402910 2.14580i
\(581\) 35.9907 5.44666i 1.49315 0.225966i
\(582\) 0.146042 + 2.59017i 0.00605362 + 0.107366i
\(583\) −1.42564 + 13.3497i −0.0590440 + 0.552889i
\(584\) 38.4559 + 11.3868i 1.59132 + 0.471189i
\(585\) 30.3943 16.1392i 1.25665 0.667276i
\(586\) −22.8245 43.6414i −0.942870 1.80281i
\(587\) −4.85351 + 0.859284i −0.200326 + 0.0354665i −0.273591 0.961846i \(-0.588212\pi\)
0.0732659 + 0.997312i \(0.476658\pi\)
\(588\) 4.19630 26.6021i 0.173052 1.09705i
\(589\) 7.44677 4.07450i 0.306839 0.167887i
\(590\) −70.0787 103.647i −2.88509 4.26708i
\(591\) −4.64983 + 4.67902i −0.191269 + 0.192469i
\(592\) 1.95248 + 7.44178i 0.0802465 + 0.305855i
\(593\) 13.7611 + 12.2149i 0.565099 + 0.501606i 0.897192 0.441641i \(-0.145603\pi\)
−0.332093 + 0.943247i \(0.607755\pi\)
\(594\) −0.230148 + 36.7752i −0.00944308 + 1.50890i
\(595\) 68.5210 + 36.3844i 2.80909 + 1.49161i
\(596\) −32.4513 31.8477i −1.32926 1.30453i
\(597\) 6.67186 + 7.61180i 0.273061 + 0.311530i
\(598\) −20.1734 + 17.9068i −0.824954 + 0.732264i
\(599\) 21.5173 + 14.3530i 0.879172 + 0.586449i 0.910707 0.413053i \(-0.135538\pi\)
−0.0315352 + 0.999503i \(0.510040\pi\)
\(600\) 6.20889 + 26.3333i 0.253477 + 1.07505i
\(601\) −0.757808 40.3590i −0.0309116 1.64628i −0.582985 0.812483i \(-0.698115\pi\)
0.552073 0.833796i \(-0.313837\pi\)
\(602\) 0.641999 + 3.76325i 0.0261659 + 0.153379i
\(603\) −0.335741 0.779328i −0.0136724 0.0317367i
\(604\) −51.3675 + 20.2486i −2.09011 + 0.823906i
\(605\) 42.7473 + 31.7165i 1.73793 + 1.28946i
\(606\) −7.56593 + 1.53574i −0.307345 + 0.0623854i
\(607\) 4.80368 4.95640i 0.194975 0.201174i −0.613515 0.789683i \(-0.710245\pi\)
0.808491 + 0.588509i \(0.200285\pi\)
\(608\) −0.524124 + 0.431168i −0.0212560 + 0.0174862i
\(609\) 7.62581 2.05186i 0.309013 0.0831454i
\(610\) −35.0524 1.31680i −1.41923 0.0533156i
\(611\) −19.9925 + 7.59317i −0.808811 + 0.307187i
\(612\) −32.1059 33.9671i −1.29780 1.37304i
\(613\) −2.10147 + 7.61982i −0.0848776 + 0.307762i −0.994088 0.108575i \(-0.965371\pi\)
0.909211 + 0.416336i \(0.136686\pi\)
\(614\) −32.5890 6.19132i −1.31518 0.249861i
\(615\) −7.03113 + 7.62775i −0.283522 + 0.307581i
\(616\) 45.4752 + 92.5185i 1.83225 + 3.72767i
\(617\) 7.67986 + 30.8388i 0.309180 + 1.24152i 0.900418 + 0.435026i \(0.143261\pi\)
−0.591238 + 0.806497i \(0.701361\pi\)
\(618\) −10.4833 + 0.262478i −0.421699 + 0.0105584i
\(619\) 3.20012 + 1.07978i 0.128624 + 0.0434001i 0.383285 0.923630i \(-0.374793\pi\)
−0.254661 + 0.967030i \(0.581964\pi\)
\(620\) −24.9037 135.711i −1.00016 5.45027i
\(621\) −10.1781 + 3.01373i −0.408433 + 0.120937i
\(622\) 49.6356 48.7124i 1.99021 1.95319i
\(623\) 26.6213 + 2.00297i 1.06656 + 0.0802471i
\(624\) 4.93298 3.56519i 0.197477 0.142722i
\(625\) 12.5905 35.1230i 0.503619 1.40492i
\(626\) −34.6667 60.6272i −1.38556 2.42315i
\(627\) 2.51714 + 0.316708i 0.100525 + 0.0126481i
\(628\) 18.1402 + 13.8146i 0.723875 + 0.551262i
\(629\) −1.94352 9.27669i −0.0774933 0.369886i
\(630\) 101.758 57.3433i 4.05414 2.28461i
\(631\) −4.03218 + 0.252670i −0.160518 + 0.0100586i −0.142597 0.989781i \(-0.545545\pi\)
−0.0179211 + 0.999839i \(0.505705\pi\)
\(632\) −37.4216 63.5849i −1.48855 2.52927i
\(633\) 0.640894 2.44274i 0.0254733 0.0970900i
\(634\) 50.3967 33.6170i 2.00151 1.33510i
\(635\) 14.6842 + 13.7066i 0.582725 + 0.543931i
\(636\) 5.69007 0.499810i 0.225626 0.0198188i
\(637\) 38.5988 + 13.5644i 1.52934 + 0.537443i
\(638\) −25.5098 + 30.6170i −1.00994 + 1.21214i
\(639\) −43.1470 + 0.540070i −1.70687 + 0.0213648i
\(640\) 28.8397 + 74.5252i 1.13999 + 2.94587i
\(641\) −9.10598 + 18.5259i −0.359664 + 0.731731i −0.999318 0.0369328i \(-0.988241\pi\)
0.639653 + 0.768664i \(0.279078\pi\)
\(642\) 16.8098 + 3.63172i 0.663430 + 0.143332i
\(643\) −3.25368 + 13.7996i −0.128313 + 0.544203i 0.870347 + 0.492439i \(0.163895\pi\)
−0.998659 + 0.0517637i \(0.983516\pi\)
\(644\) −44.3401 + 41.3882i −1.74725 + 1.63092i
\(645\) 0.500813 0.557143i 0.0197195 0.0219375i
\(646\) −8.22979 + 6.10612i −0.323797 + 0.240242i
\(647\) 17.1472 27.5349i 0.674127 1.08251i −0.316850 0.948476i \(-0.602625\pi\)
0.990977 0.134035i \(-0.0427933\pi\)
\(648\) −29.9546 + 5.69084i −1.17673 + 0.223557i
\(649\) −5.19366 + 63.6977i −0.203869 + 2.50035i
\(650\) −83.6780 + 4.19286i −3.28212 + 0.164458i
\(651\) 18.8605 9.41740i 0.739200 0.369097i
\(652\) 53.6814 83.8442i 2.10233 3.28359i
\(653\) −15.3483 + 7.18954i −0.600625 + 0.281348i −0.700501 0.713652i \(-0.747040\pi\)
0.0998755 + 0.995000i \(0.468156\pi\)
\(654\) −4.70695 7.15295i −0.184056 0.279703i
\(655\) 25.2099 + 20.2151i 0.985033 + 0.789869i
\(656\) 9.91120 14.2705i 0.386967 0.557170i
\(657\) −18.2889 + 14.2929i −0.713517 + 0.557621i
\(658\) −67.1904 + 27.4624i −2.61936 + 1.07060i
\(659\) −3.12299 2.84278i −0.121654 0.110739i 0.610043 0.792368i \(-0.291152\pi\)
−0.731698 + 0.681629i \(0.761272\pi\)
\(660\) 17.7259 37.2330i 0.689979 1.44929i
\(661\) −13.6658 + 12.4397i −0.531540 + 0.483847i −0.893947 0.448174i \(-0.852075\pi\)
0.362407 + 0.932020i \(0.381955\pi\)
\(662\) −8.84964 29.2145i −0.343951 1.13545i
\(663\) −6.28930 + 4.08246i −0.244256 + 0.158549i
\(664\) 31.3523 + 22.0670i 1.21670 + 0.856366i
\(665\) −6.51720 15.6645i −0.252726 0.607445i
\(666\) −13.3400 5.06653i −0.516913 0.196324i
\(667\) −10.5923 4.48488i −0.410136 0.173655i
\(668\) 53.3357 + 12.9284i 2.06362 + 0.500215i
\(669\) 1.56107 3.62359i 0.0603546 0.140096i
\(670\) −0.0946122 + 3.02266i −0.00365519 + 0.116776i
\(671\) 13.5478 + 11.7258i 0.523008 + 0.452668i
\(672\) −1.34091 + 1.02116i −0.0517268 + 0.0393922i
\(673\) 8.34296 4.84004i 0.321598 0.186570i −0.332260 0.943188i \(-0.607811\pi\)
0.653857 + 0.756618i \(0.273150\pi\)
\(674\) −56.6317 + 16.0005i −2.18137 + 0.616316i
\(675\) −30.5192 12.4740i −1.17468 0.480123i
\(676\) −4.73722 9.95047i −0.182201 0.382711i
\(677\) 0.787688 2.60032i 0.0302733 0.0999384i −0.940612 0.339484i \(-0.889748\pi\)
0.970885 + 0.239546i \(0.0769985\pi\)
\(678\) 2.89221 + 9.99707i 0.111075 + 0.383935i
\(679\) −8.81774 0.885887i −0.338394 0.0339972i
\(680\) 25.6400 + 77.5878i 0.983247 + 2.97536i
\(681\) 2.77609 3.79095i 0.106380 0.145269i
\(682\) −50.4785 + 93.6442i −1.93292 + 3.58582i
\(683\) 0.123874 2.82591i 0.00473991 0.108130i −0.995207 0.0977941i \(-0.968821\pi\)
0.999947 0.0103364i \(-0.00329022\pi\)
\(684\) 0.703075 + 10.1971i 0.0268828 + 0.389895i
\(685\) −30.5630 + 24.5076i −1.16775 + 0.936388i
\(686\) 59.9502 + 19.3961i 2.28891 + 0.740545i
\(687\) −2.22290 11.3140i −0.0848088 0.431655i
\(688\) −0.702775 + 1.03941i −0.0267930 + 0.0396271i
\(689\) −0.813379 + 8.63927i −0.0309873 + 0.329130i
\(690\) 17.7638 + 2.68829i 0.676257 + 0.102342i
\(691\) 6.82893 40.0297i 0.259785 1.52280i −0.496198 0.868209i \(-0.665271\pi\)
0.755983 0.654591i \(-0.227159\pi\)
\(692\) 42.8600 10.3891i 1.62929 0.394935i
\(693\) −58.8754 9.66517i −2.23649 0.367150i
\(694\) −0.660262 + 11.7103i −0.0250632 + 0.444517i
\(695\) 0.197431 + 2.09701i 0.00748898 + 0.0795440i
\(696\) 7.29686 + 3.99247i 0.276587 + 0.151334i
\(697\) −13.0745 + 16.9473i −0.495231 + 0.641924i
\(698\) −25.7903 5.91074i −0.976178 0.223725i
\(699\) −9.12775 + 7.70245i −0.345243 + 0.291334i
\(700\) −187.864 + 14.1348i −7.10060 + 0.534244i
\(701\) −17.1662 + 19.5846i −0.648357 + 0.739698i −0.978956 0.204073i \(-0.934582\pi\)
0.330599 + 0.943771i \(0.392749\pi\)
\(702\) 0.148753 + 23.7692i 0.00561432 + 0.897109i
\(703\) −0.960600 + 1.83671i −0.0362297 + 0.0692729i
\(704\) 13.1883 41.6512i 0.497053 1.56979i
\(705\) 12.4092 + 6.99289i 0.467356 + 0.263367i
\(706\) −61.7986 29.8969i −2.32582 1.12518i
\(707\) −1.15493 26.3471i −0.0434356 0.990886i
\(708\) 27.0180 3.05643i 1.01540 0.114868i
\(709\) −22.5511 18.5515i −0.846924 0.696718i 0.107812 0.994171i \(-0.465616\pi\)
−0.954736 + 0.297454i \(0.903863\pi\)
\(710\) 140.064 + 63.4841i 5.25650 + 2.38252i
\(711\) 42.5360 + 3.73632i 1.59522 + 0.140123i
\(712\) 18.7976 + 20.9119i 0.704469 + 0.783706i
\(713\) −30.0924 6.10821i −1.12697 0.228754i
\(714\) −20.9931 + 14.3863i −0.785646 + 0.538392i
\(715\) 50.7740 + 36.6956i 1.89884 + 1.37234i
\(716\) 34.8332 + 29.3940i 1.30178 + 1.09851i
\(717\) −0.920554 1.22463i −0.0343787 0.0457345i
\(718\) 29.5079 3.71271i 1.10123 0.138557i
\(719\) −17.6324 10.2292i −0.657579 0.381485i 0.135351 0.990798i \(-0.456784\pi\)
−0.792930 + 0.609313i \(0.791445\pi\)
\(720\) 37.1919 + 9.50958i 1.38606 + 0.354401i
\(721\) 4.69426 35.5134i 0.174824 1.32259i
\(722\) −43.9562 2.20252i −1.63588 0.0819692i
\(723\) 0.557231 0.244205i 0.0207236 0.00908210i
\(724\) 89.6895 + 12.4270i 3.33328 + 0.461846i
\(725\) −16.9526 31.4493i −0.629604 1.16800i
\(726\) −15.7180 + 7.60404i −0.583349 + 0.282212i
\(727\) −46.1911 2.89449i −1.71313 0.107351i −0.824468 0.565908i \(-0.808526\pi\)
−0.888665 + 0.458557i \(0.848366\pi\)
\(728\) 30.1384 + 59.4255i 1.11700 + 2.20246i
\(729\) 5.32975 11.5659i 0.197398 0.428366i
\(730\) 80.6305 18.4792i 2.98427 0.683947i
\(731\) 0.928770 1.23556i 0.0343518 0.0456987i
\(732\) 3.78396 6.61762i 0.139859 0.244594i
\(733\) 24.1472 + 28.2548i 0.891896 + 1.04361i 0.998782 + 0.0493428i \(0.0157127\pi\)
−0.106886 + 0.994271i \(0.534088\pi\)
\(734\) 19.6914 + 23.6337i 0.726823 + 0.872335i
\(735\) −9.51551 25.5342i −0.350985 0.941845i
\(736\) 2.45484 + 0.0307271i 0.0904866 + 0.00113262i
\(737\) 1.00360 1.17432i 0.0369680 0.0432565i
\(738\) 10.8742 + 30.3353i 0.400286 + 1.11666i
\(739\) 26.7031 + 18.2993i 0.982290 + 0.673150i 0.945312 0.326166i \(-0.105757\pi\)
0.0369775 + 0.999316i \(0.488227\pi\)
\(740\) 23.4476 + 24.1931i 0.861953 + 0.889355i
\(741\) 1.62935 + 0.184322i 0.0598558 + 0.00677123i
\(742\) −2.02589 + 29.3825i −0.0743726 + 1.07867i
\(743\) −5.54551 7.98463i −0.203445 0.292928i 0.706453 0.707760i \(-0.250294\pi\)
−0.909898 + 0.414833i \(0.863840\pi\)
\(744\) 21.2096 + 6.56999i 0.777581 + 0.240868i
\(745\) −44.4260 11.9536i −1.62764 0.437946i
\(746\) 76.3358 34.5993i 2.79485 1.26677i
\(747\) −20.9339 + 7.35661i −0.765931 + 0.269164i
\(748\) 29.7112 79.7280i 1.08635 2.91515i
\(749\) −21.2019 + 54.7883i −0.774700 + 2.00192i
\(750\) 20.2792 + 22.0000i 0.740493 + 0.803328i
\(751\) 24.1982 + 38.8574i 0.883005 + 1.41793i 0.908333 + 0.418247i \(0.137355\pi\)
−0.0253279 + 0.999679i \(0.508063\pi\)
\(752\) −22.1940 8.74870i −0.809333 0.319032i
\(753\) 0.0352608 + 1.12651i 0.00128497 + 0.0410522i
\(754\) −16.2390 + 19.9937i −0.591389 + 0.728128i
\(755\) −35.2219 + 43.3658i −1.28186 + 1.57824i
\(756\) 1.67217 + 53.4224i 0.0608164 + 1.94295i
\(757\) 14.5889 + 5.75082i 0.530242 + 0.209017i 0.616642 0.787243i \(-0.288493\pi\)
−0.0864001 + 0.996261i \(0.527536\pi\)
\(758\) −38.6380 62.0447i −1.40340 2.25357i
\(759\) −6.21995 6.74774i −0.225770 0.244928i
\(760\) 6.44924 16.6656i 0.233939 0.604526i
\(761\) −3.01606 + 8.09341i −0.109332 + 0.293386i −0.980162 0.198199i \(-0.936491\pi\)
0.870830 + 0.491585i \(0.163582\pi\)
\(762\) −6.21659 + 2.18464i −0.225203 + 0.0791412i
\(763\) 26.6416 12.0753i 0.964490 0.437156i
\(764\) −0.768094 0.206669i −0.0277887 0.00747703i
\(765\) −45.1744 13.9935i −1.63328 0.505935i
\(766\) −2.11536 3.04578i −0.0764312 0.110048i
\(767\) −2.84130 + 41.2090i −0.102593 + 1.48797i
\(768\) −16.6382 1.88220i −0.600378 0.0679182i
\(769\) 3.50342 + 3.61480i 0.126337 + 0.130353i 0.778287 0.627909i \(-0.216089\pi\)
−0.651950 + 0.758262i \(0.726049\pi\)
\(770\) 175.396 + 120.196i 6.32083 + 4.33158i
\(771\) −1.27825 3.56588i −0.0460351 0.128422i
\(772\) −27.7687 + 32.4924i −0.999419 + 1.16943i
\(773\) −4.99129 0.0624758i −0.179524 0.00224710i