Properties

Label 503.2.c.a.2.7
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 2.7
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35722 - 1.67103i) q^{2} +(2.35620 - 2.03931i) q^{3} +(-0.540193 + 2.57841i) q^{4} +(-0.767603 - 2.42424i) q^{5} +(-6.60563 - 1.16949i) q^{6} +(0.954936 - 2.77271i) q^{7} +(1.21411 - 0.625336i) q^{8} +(0.962553 - 6.64105i) q^{9} +O(q^{10})\) \(q+(-1.35722 - 1.67103i) q^{2} +(2.35620 - 2.03931i) q^{3} +(-0.540193 + 2.57841i) q^{4} +(-0.767603 - 2.42424i) q^{5} +(-6.60563 - 1.16949i) q^{6} +(0.954936 - 2.77271i) q^{7} +(1.21411 - 0.625336i) q^{8} +(0.962553 - 6.64105i) q^{9} +(-3.00917 + 4.57291i) q^{10} +(-2.12003 + 0.685909i) q^{11} +(3.98538 + 7.17686i) q^{12} +(4.27581 - 1.44274i) q^{13} +(-5.92934 + 2.16745i) q^{14} +(-6.75239 - 4.14660i) q^{15} +(2.13293 + 0.934753i) q^{16} +(6.07671 + 3.03422i) q^{17} +(-12.4038 + 7.40491i) q^{18} +(1.70491 + 3.82500i) q^{19} +(6.66533 - 0.669642i) q^{20} +(-3.40440 - 8.48046i) q^{21} +(4.02353 + 2.61172i) q^{22} +(-2.42681 + 8.38838i) q^{23} +(1.58544 - 3.94937i) q^{24} +(-1.19894 + 0.843860i) q^{25} +(-8.21408 - 5.18689i) q^{26} +(-6.23447 - 9.73752i) q^{27} +(6.63334 + 3.96002i) q^{28} +(-0.352149 + 2.94763i) q^{29} +(2.23539 + 16.9113i) q^{30} +(-0.670422 - 8.22241i) q^{31} +(-2.05903 - 7.46594i) q^{32} +(-3.59644 + 5.93954i) q^{33} +(-3.17715 - 14.2725i) q^{34} +(-7.45471 - 0.186650i) q^{35} +(16.6034 + 6.06931i) q^{36} +(4.79454 + 6.05647i) q^{37} +(4.07775 - 8.04032i) q^{38} +(7.13245 - 12.1191i) q^{39} +(-2.44792 - 2.46329i) q^{40} +(-1.30716 + 6.65308i) q^{41} +(-9.55060 + 17.1987i) q^{42} +(-0.160747 + 0.875980i) q^{43} +(-0.623327 - 5.83684i) q^{44} +(-16.8383 + 2.76424i) q^{45} +(17.3109 - 7.32960i) q^{46} +(-5.01661 + 0.188457i) q^{47} +(6.93186 - 2.14725i) q^{48} +(-1.26054 - 0.985123i) q^{49} +(3.03734 + 0.858157i) q^{50} +(20.5056 - 5.24307i) q^{51} +(1.41022 + 11.8042i) q^{52} +(2.60771 - 5.85045i) q^{53} +(-7.81016 + 23.6339i) q^{54} +(3.29015 + 4.61296i) q^{55} +(-0.574475 - 3.96354i) q^{56} +(11.8175 + 5.53560i) q^{57} +(5.40353 - 3.41213i) q^{58} +(-1.62800 + 3.91302i) q^{59} +(14.3392 - 15.1705i) q^{60} +(-4.88503 - 8.06766i) q^{61} +(-12.8300 + 12.2799i) q^{62} +(-17.4945 - 9.01066i) q^{63} +(-6.97675 + 9.78177i) q^{64} +(-6.77967 - 9.25811i) q^{65} +(14.8063 - 2.05150i) q^{66} +(-12.4111 + 7.62159i) q^{67} +(-11.1061 + 14.0292i) q^{68} +(11.3885 + 24.7137i) q^{69} +(9.80578 + 12.7104i) q^{70} +(0.991264 + 6.28404i) q^{71} +(-2.98424 - 8.66491i) q^{72} +(1.43252 + 1.37110i) q^{73} +(3.61331 - 16.2318i) q^{74} +(-1.10404 + 4.43330i) q^{75} +(-10.7834 + 2.32973i) q^{76} +(-0.122672 + 6.53324i) q^{77} +(-29.9317 + 4.52972i) q^{78} +(0.383916 + 6.80907i) q^{79} +(0.628817 - 5.88825i) q^{80} +(-15.2445 - 4.51390i) q^{81} +(12.8916 - 6.84539i) q^{82} +(1.05577 + 2.01868i) q^{83} +(23.7051 - 4.19685i) q^{84} +(2.69117 - 17.0604i) q^{85} +(1.68196 - 0.920284i) q^{86} +(5.18140 + 7.66334i) q^{87} +(-2.14504 + 2.15851i) q^{88} +(-1.96657 - 7.49550i) q^{89} +(27.4725 + 24.3857i) q^{90} +(0.0828171 - 13.2333i) q^{91} +(-20.3177 - 10.7886i) q^{92} +(-18.3477 - 18.0064i) q^{93} +(7.12355 + 8.12713i) q^{94} +(7.96400 - 7.06918i) q^{95} +(-20.0769 - 13.3922i) q^{96} +(0.199590 + 0.846508i) q^{97} +(0.0646561 + 3.44343i) q^{98} +(2.51451 + 14.7395i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35722 1.67103i −0.959699 1.18160i −0.983321 0.181877i \(-0.941783\pi\)
0.0236222 0.999721i \(-0.492480\pi\)
\(3\) 2.35620 2.03931i 1.36035 1.17740i 0.394319 0.918974i \(-0.370981\pi\)
0.966032 0.258423i \(-0.0832027\pi\)
\(4\) −0.540193 + 2.57841i −0.270096 + 1.28921i
\(5\) −0.767603 2.42424i −0.343283 1.08415i −0.955880 0.293756i \(-0.905095\pi\)
0.612598 0.790395i \(-0.290125\pi\)
\(6\) −6.60563 1.16949i −2.69674 0.477441i
\(7\) 0.954936 2.77271i 0.360932 1.04799i −0.606550 0.795045i \(-0.707447\pi\)
0.967482 0.252940i \(-0.0813976\pi\)
\(8\) 1.21411 0.625336i 0.429254 0.221090i
\(9\) 0.962553 6.64105i 0.320851 2.21368i
\(10\) −3.00917 + 4.57291i −0.951583 + 1.44608i
\(11\) −2.12003 + 0.685909i −0.639214 + 0.206809i −0.609546 0.792751i \(-0.708648\pi\)
−0.0296683 + 0.999560i \(0.509445\pi\)
\(12\) 3.98538 + 7.17686i 1.15048 + 2.07178i
\(13\) 4.27581 1.44274i 1.18590 0.400145i 0.343577 0.939124i \(-0.388361\pi\)
0.842319 + 0.538980i \(0.181190\pi\)
\(14\) −5.92934 + 2.16745i −1.58468 + 0.579275i
\(15\) −6.75239 4.14660i −1.74346 1.07065i
\(16\) 2.13293 + 0.934753i 0.533233 + 0.233688i
\(17\) 6.07671 + 3.03422i 1.47382 + 0.735907i 0.990237 0.139393i \(-0.0445152\pi\)
0.483581 + 0.875300i \(0.339336\pi\)
\(18\) −12.4038 + 7.40491i −2.92361 + 1.74535i
\(19\) 1.70491 + 3.82500i 0.391133 + 0.877514i 0.996658 + 0.0816878i \(0.0260310\pi\)
−0.605525 + 0.795827i \(0.707037\pi\)
\(20\) 6.66533 0.669642i 1.49041 0.149737i
\(21\) −3.40440 8.48046i −0.742900 1.85059i
\(22\) 4.02353 + 2.61172i 0.857819 + 0.556820i
\(23\) −2.42681 + 8.38838i −0.506024 + 1.74910i 0.144393 + 0.989520i \(0.453877\pi\)
−0.650417 + 0.759577i \(0.725406\pi\)
\(24\) 1.58544 3.94937i 0.323626 0.806162i
\(25\) −1.19894 + 0.843860i −0.239787 + 0.168772i
\(26\) −8.21408 5.18689i −1.61091 1.01723i
\(27\) −6.23447 9.73752i −1.19982 1.87399i
\(28\) 6.63334 + 3.96002i 1.25358 + 0.748373i
\(29\) −0.352149 + 2.94763i −0.0653925 + 0.547362i 0.921781 + 0.387711i \(0.126734\pi\)
−0.987174 + 0.159651i \(0.948963\pi\)
\(30\) 2.23539 + 16.9113i 0.408124 + 3.08757i
\(31\) −0.670422 8.22241i −0.120411 1.47679i −0.729661 0.683809i \(-0.760322\pi\)
0.609250 0.792978i \(-0.291471\pi\)
\(32\) −2.05903 7.46594i −0.363989 1.31980i
\(33\) −3.59644 + 5.93954i −0.626059 + 1.03394i
\(34\) −3.17715 14.2725i −0.544876 2.44771i
\(35\) −7.45471 0.186650i −1.26008 0.0315496i
\(36\) 16.6034 + 6.06931i 2.76723 + 1.01155i
\(37\) 4.79454 + 6.05647i 0.788218 + 0.995678i 0.999832 + 0.0183244i \(0.00583316\pi\)
−0.211614 + 0.977353i \(0.567872\pi\)
\(38\) 4.07775 8.04032i 0.661499 1.30431i
\(39\) 7.13245 12.1191i 1.14211 1.94061i
\(40\) −2.44792 2.46329i −0.387050 0.389480i
\(41\) −1.30716 + 6.65308i −0.204144 + 1.03904i 0.730354 + 0.683069i \(0.239355\pi\)
−0.934498 + 0.355969i \(0.884151\pi\)
\(42\) −9.55060 + 17.1987i −1.47369 + 2.65382i
\(43\) −0.160747 + 0.875980i −0.0245137 + 0.133586i −0.993563 0.113282i \(-0.963864\pi\)
0.969049 + 0.246868i \(0.0794014\pi\)
\(44\) −0.623327 5.83684i −0.0939701 0.879937i
\(45\) −16.8383 + 2.76424i −2.51011 + 0.412068i
\(46\) 17.3109 7.32960i 2.55236 1.08069i
\(47\) −5.01661 + 0.188457i −0.731747 + 0.0274892i −0.400807 0.916162i \(-0.631270\pi\)
−0.330940 + 0.943652i \(0.607366\pi\)
\(48\) 6.93186 2.14725i 1.00053 0.309928i
\(49\) −1.26054 0.985123i −0.180077 0.140732i
\(50\) 3.03734 + 0.858157i 0.429544 + 0.121362i
\(51\) 20.5056 5.24307i 2.87136 0.734177i
\(52\) 1.41022 + 11.8042i 0.195563 + 1.63694i
\(53\) 2.60771 5.85045i 0.358197 0.803621i −0.641148 0.767418i \(-0.721541\pi\)
0.999344 0.0362033i \(-0.0115264\pi\)
\(54\) −7.81016 + 23.6339i −1.06283 + 3.21617i
\(55\) 3.29015 + 4.61296i 0.443644 + 0.622011i
\(56\) −0.574475 3.96354i −0.0767674 0.529650i
\(57\) 11.8175 + 5.53560i 1.56526 + 0.733208i
\(58\) 5.40353 3.41213i 0.709518 0.448035i
\(59\) −1.62800 + 3.91302i −0.211948 + 0.509432i −0.993423 0.114505i \(-0.963472\pi\)
0.781475 + 0.623937i \(0.214468\pi\)
\(60\) 14.3392 15.1705i 1.85119 1.95850i
\(61\) −4.88503 8.06766i −0.625464 1.03296i −0.994620 0.103591i \(-0.966967\pi\)
0.369156 0.929367i \(-0.379647\pi\)
\(62\) −12.8300 + 12.2799i −1.62941 + 1.55955i
\(63\) −17.4945 9.01066i −2.20410 1.13524i
\(64\) −6.97675 + 9.78177i −0.872094 + 1.22272i
\(65\) −6.77967 9.25811i −0.840915 1.14833i
\(66\) 14.8063 2.05150i 1.82253 0.252523i
\(67\) −12.4111 + 7.62159i −1.51626 + 0.931125i −0.519189 + 0.854659i \(0.673766\pi\)
−0.997072 + 0.0764661i \(0.975636\pi\)
\(68\) −11.1061 + 14.0292i −1.34681 + 1.70129i
\(69\) 11.3885 + 24.7137i 1.37101 + 2.97518i
\(70\) 9.80578 + 12.7104i 1.17202 + 1.51918i
\(71\) 0.991264 + 6.28404i 0.117641 + 0.745779i 0.973520 + 0.228602i \(0.0734154\pi\)
−0.855879 + 0.517177i \(0.826983\pi\)
\(72\) −2.98424 8.66491i −0.351696 1.02117i
\(73\) 1.43252 + 1.37110i 0.167664 + 0.160476i 0.770611 0.637306i \(-0.219951\pi\)
−0.602947 + 0.797781i \(0.706007\pi\)
\(74\) 3.61331 16.2318i 0.420038 1.88691i
\(75\) −1.10404 + 4.43330i −0.127483 + 0.511914i
\(76\) −10.7834 + 2.32973i −1.23694 + 0.267238i
\(77\) −0.122672 + 6.53324i −0.0139798 + 0.744532i
\(78\) −29.9317 + 4.52972i −3.38909 + 0.512890i
\(79\) 0.383916 + 6.80907i 0.0431939 + 0.766081i 0.943612 + 0.331054i \(0.107404\pi\)
−0.900418 + 0.435026i \(0.856739\pi\)
\(80\) 0.628817 5.88825i 0.0703038 0.658326i
\(81\) −15.2445 4.51390i −1.69384 0.501545i
\(82\) 12.8916 6.84539i 1.42364 0.755947i
\(83\) 1.05577 + 2.01868i 0.115886 + 0.221579i 0.937116 0.349018i \(-0.113485\pi\)
−0.821230 + 0.570597i \(0.806712\pi\)
\(84\) 23.7051 4.19685i 2.58644 0.457914i
\(85\) 2.69117 17.0604i 0.291898 1.85047i
\(86\) 1.68196 0.920284i 0.181370 0.0992368i
\(87\) 5.18140 + 7.66334i 0.555505 + 0.821597i
\(88\) −2.14504 + 2.15851i −0.228662 + 0.230097i
\(89\) −1.96657 7.49550i −0.208456 0.794521i −0.986147 0.165874i \(-0.946956\pi\)
0.777691 0.628647i \(-0.216391\pi\)
\(90\) 27.4725 + 24.3857i 2.89585 + 2.57048i
\(91\) 0.0828171 13.2333i 0.00868159 1.38723i
\(92\) −20.3177 10.7886i −2.11827 1.12479i
\(93\) −18.3477 18.0064i −1.90257 1.86718i
\(94\) 7.12355 + 8.12713i 0.734738 + 0.838249i
\(95\) 7.96400 7.06918i 0.817089 0.725283i
\(96\) −20.0769 13.3922i −2.04909 1.36684i
\(97\) 0.199590 + 0.846508i 0.0202653 + 0.0859499i 0.982495 0.186289i \(-0.0596462\pi\)
−0.962230 + 0.272239i \(0.912236\pi\)
\(98\) 0.0646561 + 3.44343i 0.00653125 + 0.347839i
\(99\) 2.51451 + 14.7395i 0.252718 + 1.48137i
\(100\) −1.52816 3.54720i −0.152816 0.354720i
\(101\) 3.42527 1.35021i 0.340827 0.134351i −0.190109 0.981763i \(-0.560884\pi\)
0.530936 + 0.847412i \(0.321840\pi\)
\(102\) −36.5920 27.1496i −3.62315 2.68821i
\(103\) 13.7523 2.79146i 1.35505 0.275051i 0.533797 0.845612i \(-0.320765\pi\)
0.821255 + 0.570562i \(0.193274\pi\)
\(104\) 4.28912 4.42547i 0.420583 0.433953i
\(105\) −17.9454 + 14.7627i −1.75129 + 1.44069i
\(106\) −13.3155 + 3.58277i −1.29332 + 0.347990i
\(107\) −2.18758 0.0821797i −0.211481 0.00794462i −0.0684112 0.997657i \(-0.521793\pi\)
−0.143070 + 0.989713i \(0.545697\pi\)
\(108\) 28.4751 10.8149i 2.74002 1.04066i
\(109\) −7.52889 7.96535i −0.721137 0.762942i 0.258000 0.966145i \(-0.416937\pi\)
−0.979137 + 0.203203i \(0.934865\pi\)
\(110\) 3.24294 11.7587i 0.309203 1.12115i
\(111\) 23.6479 + 4.49268i 2.24456 + 0.426426i
\(112\) 4.62861 5.02137i 0.437363 0.474475i
\(113\) −1.10682 2.25181i −0.104121 0.211832i 0.839116 0.543952i \(-0.183073\pi\)
−0.943237 + 0.332120i \(0.892236\pi\)
\(114\) −6.78872 27.2604i −0.635822 2.55317i
\(115\) 22.1982 0.555796i 2.07000 0.0518282i
\(116\) −7.40998 2.50028i −0.688000 0.232145i
\(117\) −5.46564 29.7846i −0.505299 2.75359i
\(118\) 8.74833 2.59038i 0.805349 0.238464i
\(119\) 14.2159 13.9515i 1.30317 1.27893i
\(120\) −10.7912 0.811922i −0.985096 0.0741180i
\(121\) −4.89127 + 3.53504i −0.444661 + 0.321367i
\(122\) −6.85126 + 19.1126i −0.620284 + 1.73038i
\(123\) 10.4878 + 18.3417i 0.945652 + 1.65381i
\(124\) 21.5629 + 2.71306i 1.93641 + 0.243640i
\(125\) −7.14909 5.44434i −0.639434 0.486957i
\(126\) 8.68683 + 41.4634i 0.773884 + 3.69385i
\(127\) −4.65737 + 2.62455i −0.413275 + 0.232891i −0.683568 0.729887i \(-0.739573\pi\)
0.270293 + 0.962778i \(0.412879\pi\)
\(128\) 10.3556 0.648917i 0.915315 0.0573567i
\(129\) 1.40764 + 2.39180i 0.123936 + 0.210586i
\(130\) −6.26910 + 23.8943i −0.549836 + 2.09567i
\(131\) 2.48012 1.65436i 0.216689 0.144542i −0.441849 0.897089i \(-0.645677\pi\)
0.658538 + 0.752548i \(0.271175\pi\)
\(132\) −13.3718 12.4816i −1.16387 1.08638i
\(133\) 12.2337 1.07459i 1.06079 0.0931792i
\(134\) 29.5806 + 10.3952i 2.55537 + 0.898011i
\(135\) −18.8204 + 22.5884i −1.61981 + 1.94410i
\(136\) 9.27522 0.116098i 0.795344 0.00995528i
\(137\) −1.76026 4.54872i −0.150389 0.388624i 0.836943 0.547290i \(-0.184340\pi\)
−0.987332 + 0.158666i \(0.949281\pi\)
\(138\) 25.8407 52.5724i 2.19970 4.47526i
\(139\) 8.37289 + 1.80894i 0.710179 + 0.153432i 0.551837 0.833952i \(-0.313927\pi\)
0.158342 + 0.987384i \(0.449385\pi\)
\(140\) 4.50824 19.1205i 0.381016 1.61598i
\(141\) −11.4358 + 10.6745i −0.963067 + 0.898951i
\(142\) 9.15547 10.1853i 0.768310 0.854728i
\(143\) −8.07527 + 5.99148i −0.675288 + 0.501033i
\(144\) 8.26080 13.2652i 0.688400 1.10543i
\(145\) 7.41607 1.40892i 0.615871 0.117004i
\(146\) 0.346910 4.25468i 0.0287104 0.352120i
\(147\) −4.97905 + 0.249486i −0.410665 + 0.0205772i
\(148\) −18.2061 + 9.09064i −1.49653 + 0.747246i
\(149\) 11.4837 17.9362i 0.940780 1.46939i 0.0587092 0.998275i \(-0.481302\pi\)
0.882071 0.471116i \(-0.156149\pi\)
\(150\) 8.90661 4.17209i 0.727222 0.340649i
\(151\) −10.4012 15.8063i −0.846439 1.28630i −0.956310 0.292353i \(-0.905562\pi\)
0.109871 0.993946i \(-0.464956\pi\)
\(152\) 4.46186 + 3.57784i 0.361905 + 0.290201i
\(153\) 25.9996 37.4351i 2.10194 3.02645i
\(154\) 11.0837 8.66205i 0.893153 0.698008i
\(155\) −19.4184 + 7.93680i −1.55973 + 0.637499i
\(156\) 27.3951 + 24.9370i 2.19336 + 1.99656i
\(157\) −10.1540 + 21.3283i −0.810373 + 1.70218i −0.103736 + 0.994605i \(0.533080\pi\)
−0.706638 + 0.707576i \(0.749789\pi\)
\(158\) 10.8571 9.88295i 0.863746 0.786245i
\(159\) −5.78660 19.1027i −0.458907 1.51495i
\(160\) −16.5187 + 10.7225i −1.30592 + 0.847685i
\(161\) 20.9411 + 14.7392i 1.65039 + 1.16161i
\(162\) 13.1473 + 31.6004i 1.03295 + 2.48276i
\(163\) −4.74667 1.80279i −0.371788 0.141205i 0.162071 0.986779i \(-0.448183\pi\)
−0.533858 + 0.845574i \(0.679258\pi\)
\(164\) −16.4483 6.96434i −1.28439 0.543823i
\(165\) 17.1595 + 4.15940i 1.33586 + 0.323809i
\(166\) 1.94037 4.50402i 0.150602 0.349580i
\(167\) −0.0893946 + 2.85597i −0.00691756 + 0.221001i 0.989925 + 0.141595i \(0.0452229\pi\)
−0.996842 + 0.0794068i \(0.974697\pi\)
\(168\) −9.43646 8.16735i −0.728039 0.630125i
\(169\) 5.85862 4.46159i 0.450663 0.343199i
\(170\) −32.1610 + 18.6578i −2.46664 + 1.43098i
\(171\) 27.0431 7.64064i 2.06804 0.584294i
\(172\) −2.17180 0.887671i −0.165598 0.0676843i
\(173\) −6.79222 14.2670i −0.516403 1.08470i −0.980063 0.198686i \(-0.936333\pi\)
0.463660 0.886013i \(-0.346536\pi\)
\(174\) 5.77338 19.0591i 0.437679 1.44487i
\(175\) 1.19487 + 4.13013i 0.0903238 + 0.312209i
\(176\) −5.16304 0.518712i −0.389179 0.0390994i
\(177\) 4.14396 + 12.5398i 0.311479 + 0.942552i
\(178\) −9.85614 + 13.4592i −0.738749 + 1.00881i
\(179\) −1.82365 + 3.38310i −0.136306 + 0.252865i −0.939282 0.343146i \(-0.888507\pi\)
0.802976 + 0.596011i \(0.203248\pi\)
\(180\) 1.96861 44.9094i 0.146731 3.34735i
\(181\) 1.71632 + 24.8927i 0.127573 + 1.85026i 0.437152 + 0.899388i \(0.355987\pi\)
−0.309579 + 0.950874i \(0.600188\pi\)
\(182\) −22.2257 + 17.8221i −1.64748 + 1.32106i
\(183\) −27.9626 9.04691i −2.06705 0.668767i
\(184\) 2.29914 + 11.7020i 0.169495 + 0.862684i
\(185\) 11.0020 16.2721i 0.808884 1.19635i
\(186\) −5.18744 + 55.0982i −0.380362 + 4.04000i
\(187\) −14.9640 2.26459i −1.09428 0.165603i
\(188\) 2.22402 13.0367i 0.162203 0.950797i
\(189\) −32.9528 + 7.98765i −2.39697 + 0.581016i
\(190\) −22.6217 3.71366i −1.64115 0.269417i
\(191\) 0.920762 16.3305i 0.0666240 1.18163i −0.771528 0.636196i \(-0.780507\pi\)
0.838152 0.545437i \(-0.183636\pi\)
\(192\) 3.50945 + 37.2755i 0.253273 + 2.69013i
\(193\) −21.5616 11.7974i −1.55203 0.849195i −0.999881 0.0154531i \(-0.995081\pi\)
−0.552154 0.833742i \(-0.686194\pi\)
\(194\) 1.14365 1.48242i 0.0821096 0.106431i
\(195\) −34.8544 7.98808i −2.49598 0.572038i
\(196\) 3.22099 2.71803i 0.230071 0.194145i
\(197\) 0.462524 0.0348000i 0.0329534 0.00247939i −0.0585403 0.998285i \(-0.518645\pi\)
0.0914937 + 0.995806i \(0.470836\pi\)
\(198\) 21.2174 24.2065i 1.50786 1.72028i
\(199\) 0.0825688 + 13.1936i 0.00585314 + 0.935271i 0.886826 + 0.462104i \(0.152905\pi\)
−0.880973 + 0.473167i \(0.843111\pi\)
\(200\) −0.927948 + 1.77428i −0.0656159 + 0.125461i
\(201\) −13.7003 + 43.2681i −0.966344 + 3.05190i
\(202\) −6.90509 3.89120i −0.485840 0.273784i
\(203\) 7.83665 + 3.79121i 0.550025 + 0.266091i
\(204\) 2.44180 + 55.7042i 0.170960 + 3.90008i
\(205\) 17.1320 1.93807i 1.19655 0.135361i
\(206\) −23.3295 19.1919i −1.62544 1.33716i
\(207\) 53.3717 + 24.1908i 3.70959 + 1.68138i
\(208\) 10.4686 + 0.919553i 0.725868 + 0.0637595i
\(209\) −6.23807 6.93971i −0.431496 0.480030i
\(210\) 49.0248 + 9.95113i 3.38303 + 0.686693i
\(211\) −4.38204 + 3.00296i −0.301672 + 0.206732i −0.706594 0.707620i \(-0.749769\pi\)
0.404921 + 0.914352i \(0.367299\pi\)
\(212\) 13.6762 + 9.88413i 0.939285 + 0.678845i
\(213\) 15.1507 + 12.7849i 1.03811 + 0.876010i
\(214\) 2.83170 + 3.76704i 0.193571 + 0.257510i
\(215\) 2.24697 0.282716i 0.153242 0.0192811i
\(216\) −13.6586 7.92382i −0.929348 0.539147i
\(217\) −23.4386 5.99299i −1.59111 0.406830i
\(218\) −3.09199 + 23.3917i −0.209416 + 1.58429i
\(219\) 6.17141 + 0.309232i 0.417026 + 0.0208959i
\(220\) −13.6714 + 5.99147i −0.921727 + 0.403945i
\(221\) 30.3604 + 4.20662i 2.04226 + 0.282968i
\(222\) −24.5880 45.6139i −1.65024 3.06141i
\(223\) −2.06097 + 0.997055i −0.138013 + 0.0667677i −0.503219 0.864159i \(-0.667851\pi\)
0.365206 + 0.930927i \(0.380998\pi\)
\(224\) −22.6671 1.42040i −1.51451 0.0949044i
\(225\) 4.45008 + 8.77446i 0.296672 + 0.584964i
\(226\) −2.26064 + 4.90573i −0.150376 + 0.326325i
\(227\) 2.48282 0.569024i 0.164791 0.0377674i −0.140198 0.990124i \(-0.544774\pi\)
0.304988 + 0.952356i \(0.401347\pi\)
\(228\) −20.6568 + 27.4800i −1.36803 + 1.81991i
\(229\) −2.83841 + 4.96398i −0.187567 + 0.328029i −0.946253 0.323428i \(-0.895165\pi\)
0.758686 + 0.651457i \(0.225842\pi\)
\(230\) −31.0566 36.3396i −2.04781 2.39616i
\(231\) 13.0343 + 15.6438i 0.857591 + 1.02928i
\(232\) 1.41571 + 3.79897i 0.0929461 + 0.249415i
\(233\) 3.32302 + 0.0415941i 0.217698 + 0.00272492i 0.121291 0.992617i \(-0.461297\pi\)
0.0964075 + 0.995342i \(0.469265\pi\)
\(234\) −42.3529 + 49.5575i −2.76870 + 3.23967i
\(235\) 4.30763 + 12.0168i 0.280999 + 0.783888i
\(236\) −9.20994 6.31144i −0.599516 0.410840i
\(237\) 14.7904 + 15.2606i 0.960740 + 0.991282i
\(238\) −42.6074 4.81999i −2.76183 0.312433i
\(239\) −0.371795 + 5.39235i −0.0240494 + 0.348802i 0.970245 + 0.242127i \(0.0778451\pi\)
−0.994294 + 0.106675i \(0.965980\pi\)
\(240\) −10.5263 15.1562i −0.679473 0.978330i
\(241\) −0.922015 0.285608i −0.0593922 0.0183976i 0.266055 0.963958i \(-0.414280\pi\)
−0.325447 + 0.945560i \(0.605515\pi\)
\(242\) 12.5457 + 3.37564i 0.806467 + 0.216994i
\(243\) −13.5310 + 6.13296i −0.868017 + 0.393430i
\(244\) 23.4406 8.23752i 1.50063 0.527353i
\(245\) −1.42058 + 3.81203i −0.0907574 + 0.243542i
\(246\) 16.4153 42.4191i 1.04660 2.70454i
\(247\) 12.8084 + 13.8952i 0.814976 + 0.884131i
\(248\) −5.95574 9.56369i −0.378190 0.607295i
\(249\) 6.60432 + 2.60337i 0.418532 + 0.164982i
\(250\) 0.605221 + 19.3355i 0.0382775 + 1.22289i
\(251\) −6.97325 + 8.58558i −0.440147 + 0.541917i −0.947472 0.319838i \(-0.896371\pi\)
0.507325 + 0.861755i \(0.330634\pi\)
\(252\) 32.6836 40.2406i 2.05887 2.53492i
\(253\) −0.608748 19.4482i −0.0382717 1.22270i
\(254\) 10.7068 + 4.22052i 0.671803 + 0.264819i
\(255\) −28.4506 45.6859i −1.78165 2.86096i
\(256\) 1.14741 + 1.24477i 0.0717129 + 0.0777980i
\(257\) −2.14476 + 5.54233i −0.133787 + 0.345721i −0.983338 0.181784i \(-0.941813\pi\)
0.849552 + 0.527505i \(0.176873\pi\)
\(258\) 2.08628 5.59841i 0.129886 0.348542i
\(259\) 21.3713 7.51033i 1.32795 0.466669i
\(260\) 27.5336 12.4796i 1.70756 0.773953i
\(261\) 19.2364 + 5.17590i 1.19070 + 0.320380i
\(262\) −6.13054 1.89903i −0.378746 0.117322i
\(263\) −14.8651 21.4033i −0.916621 1.31979i −0.947331 0.320257i \(-0.896231\pi\)
0.0307093 0.999528i \(-0.490223\pi\)
\(264\) −0.652272 + 9.46026i −0.0401446 + 0.582239i
\(265\) −16.1846 1.83089i −0.994209 0.112471i
\(266\) −18.3995 18.9844i −1.12814 1.16401i
\(267\) −19.9193 13.6504i −1.21904 0.835391i
\(268\) −12.9472 36.1181i −0.790875 2.20627i
\(269\) 3.85464 4.51034i 0.235022 0.275001i −0.630153 0.776471i \(-0.717008\pi\)
0.865175 + 0.501470i \(0.167207\pi\)
\(270\) 63.2893 + 0.792190i 3.85167 + 0.0482112i
\(271\) 4.82843 + 12.9568i 0.293306 + 0.787069i 0.997060 + 0.0766244i \(0.0244142\pi\)
−0.703754 + 0.710444i \(0.748494\pi\)
\(272\) 10.1250 + 12.1520i 0.613915 + 0.736823i
\(273\) −26.7917 31.3492i −1.62151 1.89734i
\(274\) −5.21200 + 9.11506i −0.314868 + 0.550661i
\(275\) 1.96298 2.61137i 0.118372 0.157472i
\(276\) −69.8740 + 16.0140i −4.20592 + 0.963931i
\(277\) −1.47986 + 3.21139i −0.0889164 + 0.192954i −0.947528 0.319673i \(-0.896427\pi\)
0.858612 + 0.512627i \(0.171327\pi\)
\(278\) −8.34105 16.4465i −0.500263 0.986395i
\(279\) −55.2508 3.46220i −3.30778 0.207276i
\(280\) −9.16759 + 4.43509i −0.547868 + 0.265047i
\(281\) 6.71649 + 12.4600i 0.400672 + 0.743299i 0.998288 0.0584829i \(-0.0186263\pi\)
−0.597616 + 0.801782i \(0.703885\pi\)
\(282\) 33.3582 + 4.62198i 1.98645 + 0.275235i
\(283\) 13.1445 5.76057i 0.781362 0.342430i 0.0276351 0.999618i \(-0.491202\pi\)
0.753727 + 0.657188i \(0.228254\pi\)
\(284\) −16.7383 0.838708i −0.993236 0.0497682i
\(285\) 4.34849 32.8974i 0.257582 1.94868i
\(286\) 20.9719 + 5.36228i 1.24009 + 0.317078i
\(287\) 17.1988 + 9.97764i 1.01521 + 0.588961i
\(288\) −51.5637 + 6.48778i −3.03842 + 0.382296i
\(289\) 17.5051 + 23.2873i 1.02971 + 1.36984i
\(290\) −12.4196 10.4803i −0.729303 0.615423i
\(291\) 2.19657 + 1.58751i 0.128765 + 0.0930617i
\(292\) −4.30911 + 2.95297i −0.252172 + 0.172810i
\(293\) 17.1420 + 3.47951i 1.00145 + 0.203275i 0.671723 0.740802i \(-0.265554\pi\)
0.329724 + 0.944077i \(0.393044\pi\)
\(294\) 7.17456 + 7.98154i 0.418429 + 0.465493i
\(295\) 10.7357 + 0.943017i 0.625059 + 0.0549046i
\(296\) 9.60845 + 4.35504i 0.558480 + 0.253132i
\(297\) 19.8963 + 16.3676i 1.15450 + 0.949745i
\(298\) −45.5578 + 5.15376i −2.63910 + 0.298549i
\(299\) 1.72572 + 39.3683i 0.0998007 + 2.27673i
\(300\) −10.8345 5.24150i −0.625529 0.302618i
\(301\) 2.27534 + 1.28221i 0.131148 + 0.0739054i
\(302\) −12.2961 + 38.8334i −0.707561 + 2.23461i
\(303\) 5.31711 10.1666i 0.305460 0.584053i
\(304\) 0.0610311 + 9.75212i 0.00350037 + 0.559323i
\(305\) −15.8081 + 18.0352i −0.905172 + 1.03269i
\(306\) −97.8424 + 7.36160i −5.59328 + 0.420835i
\(307\) −24.3522 + 20.5496i −1.38985 + 1.17283i −0.426535 + 0.904471i \(0.640266\pi\)
−0.963319 + 0.268358i \(0.913519\pi\)
\(308\) −16.7791 3.84551i −0.956079 0.219118i
\(309\) 26.7104 34.6224i 1.51950 1.96960i
\(310\) 39.6177 + 21.6768i 2.25014 + 1.23116i
\(311\) −0.730941 7.76367i −0.0414479 0.440237i −0.991683 0.128704i \(-0.958918\pi\)
0.950235 0.311533i \(-0.100843\pi\)
\(312\) 1.08109 19.1741i 0.0612049 1.08552i
\(313\) −15.2485 2.50324i −0.861895 0.141491i −0.285217 0.958463i \(-0.592066\pi\)
−0.576678 + 0.816972i \(0.695651\pi\)
\(314\) 49.4213 11.9796i 2.78901 0.676046i
\(315\) −8.41511 + 49.3275i −0.474138 + 2.77929i
\(316\) −17.7640 2.68832i −0.999302 0.151230i
\(317\) −1.38283 + 14.6877i −0.0776676 + 0.824944i 0.867301 + 0.497784i \(0.165853\pi\)
−0.944969 + 0.327160i \(0.893908\pi\)
\(318\) −24.0676 + 35.5962i −1.34964 + 1.99614i
\(319\) −1.27524 6.49063i −0.0713996 0.363405i
\(320\) 29.0687 + 9.40478i 1.62499 + 0.525743i
\(321\) −5.32195 + 4.26751i −0.297042 + 0.238189i
\(322\) −3.79200 54.9975i −0.211320 3.06489i
\(323\) −1.24564 + 28.4165i −0.0693092 + 1.58113i
\(324\) 19.8737 36.8683i 1.10409 2.04824i
\(325\) −3.90895 + 5.33794i −0.216829 + 0.296096i
\(326\) 3.42976 + 10.3786i 0.189957 + 0.574818i
\(327\) −33.9833 3.41419i −1.87928 0.188805i
\(328\) 2.57338 + 8.89501i 0.142091 + 0.491145i
\(329\) −4.26800 + 14.0896i −0.235303 + 0.776782i
\(330\) −16.3387 34.3193i −0.899416 1.88921i
\(331\) −5.00805 2.04692i −0.275267 0.112509i 0.236504 0.971631i \(-0.423998\pi\)
−0.511771 + 0.859122i \(0.671010\pi\)
\(332\) −5.77531 + 1.63173i −0.316961 + 0.0895529i
\(333\) 44.8364 26.0111i 2.45702 1.42540i
\(334\) 4.89374 3.72679i 0.267774 0.203921i
\(335\) 28.0034 + 24.2372i 1.52999 + 1.32422i
\(336\) 0.665788 21.2705i 0.0363217 1.16040i
\(337\) 3.86460 8.97057i 0.210518 0.488658i −0.780044 0.625725i \(-0.784803\pi\)
0.990562 + 0.137067i \(0.0437675\pi\)
\(338\) −15.4069 3.73458i −0.838024 0.203134i
\(339\) −7.20003 3.04855i −0.391052 0.165575i
\(340\) 42.5351 + 16.1549i 2.30679 + 0.876121i
\(341\) 7.06114 + 16.9719i 0.382382 + 0.919082i
\(342\) −49.4711 34.8198i −2.67509 1.88284i
\(343\) 13.2832 8.62228i 0.717226 0.465559i
\(344\) 0.352617 + 1.16406i 0.0190118 + 0.0627620i
\(345\) 51.1699 46.5786i 2.75490 2.50771i
\(346\) −14.6220 + 30.7135i −0.786086 + 1.65117i
\(347\) −2.39254 2.17787i −0.128438 0.116914i 0.606389 0.795168i \(-0.292617\pi\)
−0.734828 + 0.678254i \(0.762737\pi\)
\(348\) −22.5582 + 9.22011i −1.20925 + 0.494250i
\(349\) 0.514534 0.402113i 0.0275424 0.0215246i −0.601906 0.798567i \(-0.705592\pi\)
0.629448 + 0.777042i \(0.283281\pi\)
\(350\) 5.27988 7.60217i 0.282222 0.406353i
\(351\) −40.7061 32.6410i −2.17273 1.74225i
\(352\) 9.48618 + 14.4158i 0.505615 + 0.768362i
\(353\) 16.6256 7.78787i 0.884893 0.414507i 0.0723305 0.997381i \(-0.476956\pi\)
0.812562 + 0.582874i \(0.198072\pi\)
\(354\) 15.3302 23.9440i 0.814791 1.27261i
\(355\) 14.4731 7.22671i 0.768153 0.383554i
\(356\) 20.3888 1.02162i 1.08060 0.0541459i
\(357\) 5.04406 61.8630i 0.266960 3.27414i
\(358\) 8.12836 1.54424i 0.429597 0.0816157i
\(359\) 5.88139 9.44432i 0.310408 0.498452i −0.656243 0.754550i \(-0.727855\pi\)
0.966651 + 0.256098i \(0.0824369\pi\)
\(360\) −18.7151 + 13.8857i −0.986371 + 0.731842i
\(361\) 0.977819 1.08780i 0.0514642 0.0572528i
\(362\) 39.2671 36.6529i 2.06383 1.92643i
\(363\) −4.31574 + 18.3041i −0.226518 + 0.960714i
\(364\) 34.0762 + 7.36207i 1.78608 + 0.385877i
\(365\) 2.22427 4.52524i 0.116424 0.236862i
\(366\) 22.8337 + 59.0049i 1.19353 + 3.08424i
\(367\) 22.0484 0.275979i 1.15092 0.0144060i 0.565223 0.824938i \(-0.308790\pi\)
0.585694 + 0.810533i \(0.300822\pi\)
\(368\) −13.0173 + 15.6234i −0.678572 + 0.814424i
\(369\) 42.9253 + 15.0848i 2.23460 + 0.785286i
\(370\) −42.1233 + 3.70007i −2.18988 + 0.192357i
\(371\) −13.7314 12.8172i −0.712899 0.665438i
\(372\) 56.3392 37.5809i 2.92105 1.94848i
\(373\) 6.84196 26.0778i 0.354263 1.35026i −0.515544 0.856863i \(-0.672410\pi\)
0.869807 0.493393i \(-0.164243\pi\)
\(374\) 16.5253 + 28.0789i 0.854502 + 1.45193i
\(375\) −27.9474 + 1.75128i −1.44320 + 0.0904355i
\(376\) −5.97288 + 3.36587i −0.308028 + 0.173582i
\(377\) 2.74695 + 13.1116i 0.141475 + 0.675280i
\(378\) 58.0718 + 44.2242i 2.98689 + 2.27465i
\(379\) −9.33161 1.17411i −0.479333 0.0603100i −0.118527 0.992951i \(-0.537817\pi\)
−0.360806 + 0.932641i \(0.617498\pi\)
\(380\) 13.9252 + 24.3532i 0.714346 + 1.24929i
\(381\) −5.62141 + 15.6818i −0.287993 + 0.803401i
\(382\) −28.5384 + 20.6254i −1.46015 + 1.05529i
\(383\) 28.8906 + 2.17371i 1.47624 + 0.111071i 0.788568 0.614948i \(-0.210823\pi\)
0.687674 + 0.726019i \(0.258632\pi\)
\(384\) 23.0765 22.6473i 1.17762 1.15571i
\(385\) 15.9323 4.71755i 0.811984 0.240428i
\(386\) 9.54994 + 52.0417i 0.486079 + 2.64885i
\(387\) 5.66271 + 1.91071i 0.287852 + 0.0971268i
\(388\) −2.29046 + 0.0573483i −0.116281 + 0.00291142i
\(389\) −1.60768 6.45569i −0.0815124 0.327316i 0.915706 0.401848i \(-0.131632\pi\)
−0.997219 + 0.0745322i \(0.976254\pi\)
\(390\) 33.9567 + 69.0844i 1.71947 + 3.49822i
\(391\) −40.1992 + 43.6103i −2.03296 + 2.20547i
\(392\) −2.14647 0.407791i −0.108413 0.0205965i
\(393\) 2.46990 8.95571i 0.124590 0.451756i
\(394\) −0.685898 0.725660i −0.0345550 0.0365582i
\(395\) 16.2121 6.15737i 0.815720 0.309811i
\(396\) −39.3628 1.47872i −1.97805 0.0743087i
\(397\) 0.871499 0.234492i 0.0437393 0.0117688i −0.237890 0.971292i \(-0.576456\pi\)
0.281629 + 0.959523i \(0.409125\pi\)
\(398\) 21.9349 18.0446i 1.09950 0.904495i
\(399\) 26.6335 27.4802i 1.33334 1.37573i
\(400\) −3.34605 + 0.679187i −0.167302 + 0.0339593i
\(401\) −4.35319 3.22986i −0.217388 0.161292i 0.481680 0.876347i \(-0.340027\pi\)
−0.699068 + 0.715056i \(0.746401\pi\)
\(402\) 90.8967 35.8307i 4.53351 1.78707i
\(403\) −14.7294 34.1902i −0.733724 1.70313i
\(404\) 1.63110 + 9.56113i 0.0811501 + 0.475684i
\(405\) 0.758975 + 40.4212i 0.0377138 + 2.00855i
\(406\) −4.30083 18.2408i −0.213446 0.905275i
\(407\) −14.3188 9.55131i −0.709756 0.473441i
\(408\) 21.6175 19.1886i 1.07022 0.949977i
\(409\) −5.86118 6.68691i −0.289817 0.330646i 0.588706 0.808347i \(-0.299638\pi\)
−0.878523 + 0.477701i \(0.841470\pi\)
\(410\) −26.4905 25.9978i −1.30827 1.28394i
\(411\) −13.4238 7.12797i −0.662146 0.351597i
\(412\) −0.231348 + 36.9670i −0.0113977 + 1.82123i
\(413\) 9.29503 + 8.25066i 0.457378 + 0.405988i
\(414\) −32.0136 122.018i −1.57338 5.99686i
\(415\) 4.08335 4.10898i 0.200444 0.201702i
\(416\) −19.5755 28.9523i −0.959766 1.41950i
\(417\) 23.4172 12.8127i 1.14674 0.627440i
\(418\) −3.13005 + 19.8427i −0.153096 + 0.970539i
\(419\) −38.1102 + 6.74718i −1.86180 + 0.329621i −0.987730 0.156172i \(-0.950085\pi\)
−0.874074 + 0.485793i \(0.838531\pi\)
\(420\) −28.3703 54.2453i −1.38433 2.64690i
\(421\) 28.1354 14.9398i 1.37124 0.728122i 0.389980 0.920823i \(-0.372482\pi\)
0.981257 + 0.192701i \(0.0617249\pi\)
\(422\) 10.9654 + 3.24686i 0.533789 + 0.158055i
\(423\) −3.57720 + 33.4970i −0.173929 + 1.62868i
\(424\) −0.492438 8.73381i −0.0239149 0.424151i
\(425\) −9.84604 + 1.49005i −0.477603 + 0.0722783i
\(426\) 0.801187 42.6693i 0.0388176 2.06733i
\(427\) −27.0342 + 5.84067i −1.30828 + 0.282650i
\(428\) 1.39361 5.59608i 0.0673625 0.270497i
\(429\) −6.80845 + 30.5851i −0.328715 + 1.47666i
\(430\) −3.52206 3.37106i −0.169849 0.162567i
\(431\) 5.10643 + 14.8268i 0.245968 + 0.714182i 0.998455 + 0.0555743i \(0.0176990\pi\)
−0.752486 + 0.658608i \(0.771146\pi\)
\(432\) −4.19551 26.5971i −0.201857 1.27966i
\(433\) 23.7135 + 30.7377i 1.13960 + 1.47716i 0.855086 + 0.518486i \(0.173504\pi\)
0.284510 + 0.958673i \(0.408169\pi\)
\(434\) 21.7968 + 47.3004i 1.04628 + 2.27049i
\(435\) 14.6005 18.4434i 0.700040 0.884291i
\(436\) 24.6050 15.1097i 1.17837 0.723626i
\(437\) −36.2230 + 5.01891i −1.73278 + 0.240087i
\(438\) −7.85923 10.7323i −0.375528 0.512810i
\(439\) −10.8411 + 15.1997i −0.517416 + 0.725443i −0.987577 0.157137i \(-0.949773\pi\)
0.470161 + 0.882581i \(0.344196\pi\)
\(440\) 6.87926 + 3.54321i 0.327956 + 0.168916i
\(441\) −7.75559 + 7.42307i −0.369314 + 0.353480i
\(442\) −34.1764 56.4426i −1.62560 2.68470i
\(443\) −12.0717 + 12.7716i −0.573546 + 0.606795i −0.947149 0.320793i \(-0.896050\pi\)
0.373603 + 0.927589i \(0.378122\pi\)
\(444\) −24.3584 + 58.5471i −1.15600 + 2.77852i
\(445\) −16.6613 + 10.5210i −0.789821 + 0.498743i
\(446\) 4.46330 + 2.09072i 0.211343 + 0.0989987i
\(447\) −9.51965 65.6800i −0.450264 3.10656i
\(448\) 20.4596 + 28.6855i 0.966627 + 1.35526i
\(449\) −0.884458 + 2.67641i −0.0417402 + 0.126308i −0.968265 0.249926i \(-0.919594\pi\)
0.926525 + 0.376234i \(0.122781\pi\)
\(450\) 8.62266 19.3451i 0.406476 0.911937i
\(451\) −1.79219 15.0014i −0.0843909 0.706386i
\(452\) 6.40399 1.63743i 0.301218 0.0770183i
\(453\) −56.7413 16.0315i −2.66594 0.753223i
\(454\) −4.32059 3.37658i −0.202775 0.158471i
\(455\) −32.1442 + 9.95716i −1.50694 + 0.466799i
\(456\) 17.8093 0.669036i 0.833999 0.0313305i
\(457\) −10.9591 + 4.64019i −0.512646 + 0.217059i −0.630813 0.775935i \(-0.717278\pi\)
0.118166 + 0.992994i \(0.462298\pi\)
\(458\) 12.1473 1.99414i 0.567606 0.0931801i
\(459\) −8.33924 78.0888i −0.389243 3.64487i
\(460\) −10.5583 + 57.5364i −0.492281 + 2.68265i
\(461\) 3.83705 6.90975i 0.178709 0.321819i −0.769958 0.638094i \(-0.779723\pi\)
0.948668 + 0.316275i \(0.102432\pi\)
\(462\) 8.45087 43.0127i 0.393170 2.00113i
\(463\) 15.2260 + 15.3216i 0.707613 + 0.712055i 0.967299 0.253638i \(-0.0816271\pi\)
−0.259686 + 0.965693i \(0.583619\pi\)
\(464\) −3.50642 + 5.95793i −0.162781 + 0.276590i
\(465\) −29.5680 + 58.3009i −1.37118 + 2.70364i
\(466\) −4.44056 5.60932i −0.205705 0.259847i
\(467\) −6.36806 2.32782i −0.294679 0.107719i 0.191736 0.981446i \(-0.438588\pi\)
−0.486415 + 0.873728i \(0.661696\pi\)
\(468\) 79.7494 + 1.99675i 3.68642 + 0.0923000i
\(469\) 9.28061 + 41.6906i 0.428539 + 1.92509i
\(470\) 14.2340 23.5076i 0.656566 1.08432i
\(471\) 19.5702 + 70.9606i 0.901749 + 3.26969i
\(472\) 0.470373 + 5.76890i 0.0216507 + 0.265535i
\(473\) −0.260053 1.96737i −0.0119572 0.0904596i
\(474\) 5.42712 45.4272i 0.249276 2.08654i
\(475\) −5.27184 3.14722i −0.241889 0.144404i
\(476\) 28.2933 + 44.1909i 1.29682 + 2.02548i
\(477\) −36.3431 22.9493i −1.66404 1.05078i
\(478\) 9.51540 6.69732i 0.435224 0.306328i
\(479\) 8.49380 21.1583i 0.388092 0.966749i −0.598142 0.801390i \(-0.704094\pi\)
0.986234 0.165358i \(-0.0528780\pi\)
\(480\) −17.0548 + 58.9510i −0.778444 + 2.69073i
\(481\) 29.2385 + 18.9790i 1.33316 + 0.865369i
\(482\) 0.774117 + 1.92835i 0.0352601 + 0.0878339i
\(483\) 79.3991 7.97694i 3.61278 0.362964i
\(484\) −6.47256 14.5213i −0.294207 0.660059i
\(485\) 1.89893 1.13364i 0.0862259 0.0514758i
\(486\) 28.6130 + 14.2870i 1.29791 + 0.648072i
\(487\) 7.53115 + 3.30051i 0.341269 + 0.149561i 0.565001 0.825090i \(-0.308876\pi\)
−0.223732 + 0.974651i \(0.571824\pi\)
\(488\) −10.9760 6.74027i −0.496859 0.305118i
\(489\) −14.8605 + 5.43221i −0.672017 + 0.245653i
\(490\) 8.29805 2.79993i 0.374868 0.126488i
\(491\) −14.9306 26.8869i −0.673807 1.21339i −0.966373 0.257144i \(-0.917218\pi\)
0.292566 0.956245i \(-0.405491\pi\)
\(492\) −52.9578 + 17.1338i −2.38752 + 0.772450i
\(493\) −11.0837 + 16.8434i −0.499184 + 0.758589i
\(494\) 5.83557 40.2620i 0.262555 1.81147i
\(495\) 33.8019 17.4098i 1.51928 0.782514i
\(496\) 6.25595 18.1645i 0.280901 0.815610i
\(497\) 18.3704 + 3.25237i 0.824026 + 0.145889i
\(498\) −4.61320 14.5694i −0.206722 0.652869i
\(499\) 1.83910 8.77825i 0.0823293 0.392969i −0.917661 0.397364i \(-0.869925\pi\)
0.999990 + 0.00439548i \(0.00139913\pi\)
\(500\) 17.8996 15.4923i 0.800497 0.692837i
\(501\) 5.61357 + 6.91153i 0.250796 + 0.308784i
\(502\) 23.8110 1.06274
\(503\) −16.1435 15.5688i −0.719804 0.694177i
\(504\) −26.8750 −1.19711
\(505\) −5.90248 7.26723i −0.262657 0.323388i
\(506\) −31.6724 + 27.4127i −1.40801 + 1.21864i
\(507\) 4.70549 22.4599i 0.208978 0.997480i
\(508\) −4.25129 13.4264i −0.188620 0.595699i
\(509\) −40.6319 7.19363i −1.80098 0.318852i −0.829953 0.557834i \(-0.811633\pi\)
−0.971024 + 0.238982i \(0.923186\pi\)
\(510\) −37.7288 + 109.548i −1.67066 + 4.85085i
\(511\) 5.16964 2.66265i 0.228692 0.117789i
\(512\) 3.49943 24.1440i 0.154654 1.06702i
\(513\) 26.6168 40.4484i 1.17516 1.78584i
\(514\) 12.1723 3.93819i 0.536898 0.173706i
\(515\) −17.3234 31.1960i −0.763362 1.37466i
\(516\) −6.92743 + 2.33745i −0.304963 + 0.102901i
\(517\) 10.5061 3.84047i 0.462058 0.168904i
\(518\) −41.5556 25.5190i −1.82585 1.12124i
\(519\) −45.0986 19.7644i −1.97961 0.867560i
\(520\) −14.0207 7.00083i −0.614850 0.307007i
\(521\) −0.0802623 + 0.0479156i −0.00351636 + 0.00209922i −0.514349 0.857581i \(-0.671967\pi\)
0.510833 + 0.859680i \(0.329337\pi\)
\(522\) −17.4590 39.1695i −0.764158 1.71440i
\(523\) −44.8759 + 4.50853i −1.96229 + 0.197144i −0.997763 0.0668485i \(-0.978706\pi\)
−0.964525 + 0.263993i \(0.914961\pi\)
\(524\) 2.92587 + 7.28843i 0.127817 + 0.318397i
\(525\) 11.2380 + 7.29470i 0.490466 + 0.318367i
\(526\) −15.5904 + 53.8891i −0.679774 + 2.34967i
\(527\) 20.8746 51.9994i 0.909313 2.26513i
\(528\) −13.2230 + 9.30686i −0.575455 + 0.405029i
\(529\) −45.0282 28.4337i −1.95775 1.23625i
\(530\) 18.9065 + 29.5298i 0.821247 + 1.28269i
\(531\) 24.4195 + 14.5781i 1.05972 + 0.632638i
\(532\) −3.83780 + 32.1240i −0.166390 + 1.39275i
\(533\) 4.00954 + 30.3332i 0.173672 + 1.31388i
\(534\) 4.22457 + 51.8123i 0.182815 + 2.24214i
\(535\) 1.47997 + 5.36628i 0.0639846 + 0.232005i
\(536\) −10.3025 + 17.0146i −0.444999 + 0.734919i
\(537\) 2.60232 + 11.6902i 0.112299 + 0.504471i
\(538\) −12.7685 0.319696i −0.550490 0.0137831i
\(539\) 3.34809 + 1.22388i 0.144212 + 0.0527163i
\(540\) −48.0754 60.7289i −2.06884 2.61336i
\(541\) 16.1901 31.9229i 0.696068 1.37247i −0.221605 0.975137i \(-0.571129\pi\)
0.917673 0.397338i \(-0.130066\pi\)
\(542\) 15.0979 25.6537i 0.648512 1.10192i
\(543\) 54.8080 + 55.1520i 2.35203 + 2.36680i
\(544\) 10.1412 51.6159i 0.434799 2.21301i
\(545\) −13.5307 + 24.3660i −0.579591 + 1.04373i
\(546\) −16.0232 + 87.3174i −0.685731 + 3.73684i
\(547\) 2.87242 + 26.8974i 0.122816 + 1.15005i 0.872624 + 0.488393i \(0.162417\pi\)
−0.749808 + 0.661655i \(0.769854\pi\)
\(548\) 12.6794 2.08148i 0.541635 0.0889166i
\(549\) −58.2799 + 24.6762i −2.48732 + 1.05315i
\(550\) −7.02788 + 0.264013i −0.299670 + 0.0112576i
\(551\) −11.8751 + 3.67848i −0.505895 + 0.156709i
\(552\) 29.2813 + 22.8836i 1.24629 + 0.973990i
\(553\) 19.2462 + 5.43774i 0.818432 + 0.231236i
\(554\) 7.37484 1.88567i 0.313327 0.0801144i
\(555\) −7.26090 60.7767i −0.308208 2.57983i
\(556\) −9.18717 + 20.6116i −0.389623 + 0.874125i
\(557\) −4.18155 + 12.6536i −0.177178 + 0.536149i −0.999458 0.0329344i \(-0.989515\pi\)
0.822280 + 0.569084i \(0.192702\pi\)
\(558\) 69.2020 + 97.0247i 2.92955 + 4.10738i
\(559\) 0.576490 + 3.97744i 0.0243829 + 0.168228i
\(560\) −15.7259 7.36643i −0.664541 0.311288i
\(561\) −39.8764 + 25.1805i −1.68358 + 1.06312i
\(562\) 11.7052 28.1344i 0.493756 1.18678i
\(563\) −4.57371 + 4.83886i −0.192759 + 0.203933i −0.815928 0.578154i \(-0.803773\pi\)
0.623169 + 0.782087i \(0.285845\pi\)
\(564\) −21.3456 35.2524i −0.898812 1.48440i
\(565\) −4.60932 + 4.41169i −0.193915 + 0.185601i
\(566\) −27.4661 14.1466i −1.15449 0.594625i
\(567\) −27.0733 + 37.9581i −1.13697 + 1.59409i
\(568\) 5.13315 + 7.00967i 0.215382 + 0.294119i
\(569\) 45.8128 6.34763i 1.92057 0.266107i 0.926626 0.375983i \(-0.122695\pi\)
0.993945 + 0.109877i \(0.0350456\pi\)
\(570\) −60.8745 + 37.3826i −2.54975 + 1.56578i
\(571\) 20.5729 25.9878i 0.860951 1.08755i −0.134370 0.990931i \(-0.542901\pi\)
0.995321 0.0966229i \(-0.0308041\pi\)
\(572\) −11.0863 24.0579i −0.463541 1.00591i
\(573\) −31.1334 40.3556i −1.30062 1.68588i
\(574\) −6.66963 42.2816i −0.278385 1.76480i
\(575\) −4.16903 12.1050i −0.173861 0.504814i
\(576\) 58.2458 + 55.7485i 2.42691 + 2.32285i
\(577\) 0.659657 2.96333i 0.0274619 0.123365i −0.960426 0.278536i \(-0.910151\pi\)
0.987888 + 0.155171i \(0.0495930\pi\)
\(578\) 15.1555 60.8575i 0.630385 2.53134i
\(579\) −74.8618 + 16.1737i −3.11115 + 0.672156i
\(580\) −0.373332 + 19.8828i −0.0155018 + 0.825587i
\(581\) 6.60541 0.999632i 0.274038 0.0414717i
\(582\) −0.328439 5.82514i −0.0136142 0.241460i
\(583\) −1.51557 + 14.1918i −0.0627684 + 0.587765i
\(584\) 2.59665 + 0.768867i 0.107450 + 0.0318160i
\(585\) −68.0094 + 36.1127i −2.81184 + 1.49308i
\(586\) −17.4511 33.3673i −0.720898 1.37839i
\(587\) −32.4925 + 5.75260i −1.34111 + 0.237435i −0.798219 0.602368i \(-0.794224\pi\)
−0.542891 + 0.839803i \(0.682670\pi\)
\(588\) 2.04637 12.9728i 0.0843909 0.534990i
\(589\) 30.3077 16.5828i 1.24881 0.683283i
\(590\) −12.9949 19.2196i −0.534993 0.791260i
\(591\) 1.01883 1.02522i 0.0419090 0.0421721i
\(592\) 4.56513 + 17.3997i 0.187626 + 0.715125i
\(593\) 16.5737 + 14.7115i 0.680599 + 0.604129i 0.931438 0.363900i \(-0.118555\pi\)
−0.250839 + 0.968029i \(0.580706\pi\)
\(594\) 0.347093 55.4618i 0.0142414 2.27563i
\(595\) −44.7338 23.7535i −1.83391 0.973797i
\(596\) 40.0435 + 39.2987i 1.64025 + 1.60974i
\(597\) 27.1004 + 30.9184i 1.10915 + 1.26540i
\(598\) 63.4436 56.3152i 2.59440 2.30290i
\(599\) 11.2846 + 7.52739i 0.461077 + 0.307561i 0.763725 0.645542i \(-0.223368\pi\)
−0.302647 + 0.953103i \(0.597870\pi\)
\(600\) 1.43188 + 6.07293i 0.0584562 + 0.247926i
\(601\) −0.177324 9.44383i −0.00723318 0.385222i −0.984712 0.174189i \(-0.944270\pi\)
0.977479 0.211033i \(-0.0676826\pi\)
\(602\) −0.945516 5.54240i −0.0385363 0.225891i
\(603\) 38.6690 + 89.7592i 1.57472 + 3.65528i
\(604\) 46.3738 18.2802i 1.88692 0.743810i
\(605\) 12.3243 + 9.14408i 0.501055 + 0.371760i
\(606\) −24.2051 + 4.91319i −0.983265 + 0.199585i
\(607\) 16.0840 16.5953i 0.652830 0.673584i −0.307789 0.951455i \(-0.599589\pi\)
0.960618 + 0.277871i \(0.0896288\pi\)
\(608\) 25.0467 20.6046i 1.01578 0.835625i
\(609\) 26.1961 7.04853i 1.06152 0.285621i
\(610\) 51.5926 + 1.93816i 2.08892 + 0.0784736i
\(611\) −21.1782 + 8.04348i −0.856776 + 0.325404i
\(612\) 82.4784 + 87.2598i 3.33399 + 3.52727i
\(613\) 0.0988250 0.358334i 0.00399150 0.0144730i −0.961988 0.273093i \(-0.911953\pi\)
0.965979 + 0.258621i \(0.0832679\pi\)
\(614\) 67.3904 + 12.8030i 2.71965 + 0.516685i
\(615\) 36.4141 39.5040i 1.46836 1.59295i
\(616\) 3.93653 + 8.00881i 0.158607 + 0.322684i
\(617\) 10.9810 + 44.0945i 0.442078 + 1.77518i 0.613198 + 0.789929i \(0.289883\pi\)
−0.171121 + 0.985250i \(0.554739\pi\)
\(618\) −94.1070 + 2.35624i −3.78554 + 0.0947817i
\(619\) 42.4987 + 14.3399i 1.70817 + 0.576370i 0.992519 0.122091i \(-0.0389598\pi\)
0.715649 + 0.698460i \(0.246131\pi\)
\(620\) −9.97465 54.3561i −0.400592 2.18299i
\(621\) 96.8118 28.6660i 3.88492 1.15033i
\(622\) −11.9813 + 11.7584i −0.480406 + 0.471470i
\(623\) −22.6608 1.70498i −0.907885 0.0683087i
\(624\) 26.5414 19.1821i 1.06250 0.767899i
\(625\) −10.1844 + 28.4109i −0.407375 + 1.13644i
\(626\) 16.5125 + 28.8781i 0.659974 + 1.15420i
\(627\) −28.8503 3.62997i −1.15217 0.144967i
\(628\) −49.5079 37.7024i −1.97558 1.50449i
\(629\) 10.7584 + 51.3511i 0.428964 + 2.04750i
\(630\) 93.8489 52.8863i 3.73903 2.10704i
\(631\) −33.1429 + 2.07685i −1.31940 + 0.0826780i −0.706630 0.707583i \(-0.749785\pi\)
−0.612770 + 0.790261i \(0.709945\pi\)
\(632\) 4.72408 + 8.02691i 0.187914 + 0.319293i
\(633\) −4.20100 + 16.0119i −0.166975 + 0.636416i
\(634\) 26.4204 17.6237i 1.04929 0.699926i
\(635\) 9.93753 + 9.27595i 0.394359 + 0.368105i
\(636\) 52.3806 4.60106i 2.07703 0.182444i
\(637\) −6.81110 2.39357i −0.269866 0.0948365i
\(638\) −9.11526 + 10.9402i −0.360877 + 0.433125i
\(639\) 42.6868 0.534309i 1.68866 0.0211369i
\(640\) −9.52212 24.6063i −0.376395 0.972650i
\(641\) −2.42520 + 4.93403i −0.0957897 + 0.194882i −0.940038 0.341070i \(-0.889211\pi\)
0.844248 + 0.535952i \(0.180047\pi\)
\(642\) 14.3542 + 3.10119i 0.566515 + 0.122394i
\(643\) 0.562190 2.38438i 0.0221706 0.0940307i −0.961090 0.276235i \(-0.910913\pi\)
0.983261 + 0.182205i \(0.0583234\pi\)
\(644\) −49.3159 + 46.0327i −1.94332 + 1.81394i
\(645\) 4.71777 5.24841i 0.185762 0.206656i
\(646\) 49.1754 36.4859i 1.93478 1.43552i
\(647\) −10.7864 + 17.3208i −0.424058 + 0.680950i −0.989612 0.143761i \(-0.954080\pi\)
0.565555 + 0.824711i \(0.308662\pi\)
\(648\) −21.3313 + 4.05256i −0.837972 + 0.159200i
\(649\) 0.767449 9.41240i 0.0301250 0.369469i
\(650\) 14.2252 0.712782i 0.557957 0.0279576i
\(651\) −67.4474 + 33.6778i −2.64347 + 1.31994i
\(652\) 7.21245 11.2650i 0.282461 0.441172i
\(653\) −25.3085 + 11.8551i −0.990397 + 0.463928i −0.850350 0.526217i \(-0.823610\pi\)
−0.140047 + 0.990145i \(0.544725\pi\)
\(654\) 40.4177 + 61.4210i 1.58046 + 2.40175i
\(655\) −5.91429 4.74250i −0.231091 0.185305i
\(656\) −9.00706 + 12.9687i −0.351667 + 0.506343i
\(657\) 10.4845 8.19371i 0.409038 0.319667i
\(658\) 29.3367 11.9907i 1.14366 0.467444i
\(659\) 2.40741 + 2.19140i 0.0937794 + 0.0853649i 0.718687 0.695334i \(-0.244744\pi\)
−0.624907 + 0.780699i \(0.714863\pi\)
\(660\) −19.9941 + 41.9973i −0.778269 + 1.63474i
\(661\) 23.8419 21.7027i 0.927344 0.844136i −0.0607240 0.998155i \(-0.519341\pi\)
0.988068 + 0.154018i \(0.0492214\pi\)
\(662\) 3.37656 + 11.1467i 0.131234 + 0.433230i
\(663\) 80.1138 52.0027i 3.11136 2.01962i
\(664\) 2.54418 + 1.79070i 0.0987333 + 0.0694925i
\(665\) −11.9957 28.8325i −0.465173 1.11808i
\(666\) −104.318 39.6201i −4.04225 1.53525i
\(667\) −23.8713 10.1073i −0.924299 0.391356i
\(668\) −7.31557 1.77327i −0.283048 0.0686098i
\(669\) −2.82275 + 6.55221i −0.109134 + 0.253323i
\(670\) 2.49436 79.6896i 0.0963657 3.07868i
\(671\) 15.8901 + 13.7530i 0.613431 + 0.530930i
\(672\) −56.3049 + 42.8786i −2.17201 + 1.65408i
\(673\) −2.09394 + 1.21477i −0.0807155 + 0.0468259i −0.541617 0.840626i \(-0.682188\pi\)
0.460901 + 0.887451i \(0.347526\pi\)
\(674\) −20.2352 + 5.71717i −0.779431 + 0.220217i
\(675\) 15.6918 + 6.41365i 0.603979 + 0.246861i
\(676\) 8.33903 + 17.5160i 0.320732 + 0.673694i
\(677\) 3.53341 11.6645i 0.135800 0.448304i −0.862534 0.505999i \(-0.831124\pi\)
0.998334 + 0.0576950i \(0.0183751\pi\)
\(678\) 4.67779 + 16.1690i 0.179650 + 0.620968i
\(679\) 2.53772 + 0.254955i 0.0973887 + 0.00978429i
\(680\) −7.40114 22.3962i −0.283821 0.858855i
\(681\) 4.68960 6.40397i 0.179706 0.245401i
\(682\) 18.7771 34.8340i 0.719013 1.33386i
\(683\) −0.864534 + 19.7224i −0.0330805 + 0.754657i 0.908503 + 0.417878i \(0.137226\pi\)
−0.941584 + 0.336779i \(0.890662\pi\)
\(684\) 5.09224 + 73.8556i 0.194707 + 2.82394i
\(685\) −9.67599 + 7.75889i −0.369701 + 0.296452i
\(686\) −32.4363 10.4943i −1.23842 0.400676i
\(687\) 3.43525 + 17.4845i 0.131063 + 0.667075i
\(688\) −1.16169 + 1.71815i −0.0442889 + 0.0655037i
\(689\) 2.70939 28.7777i 0.103219 1.09634i
\(690\) −147.283 22.2892i −5.60698 0.848534i
\(691\) 3.56990 20.9259i 0.135805 0.796060i −0.833924 0.551879i \(-0.813911\pi\)
0.969730 0.244181i \(-0.0785192\pi\)
\(692\) 40.4553 9.80622i 1.53788 0.372777i
\(693\) 43.2695 + 7.10327i 1.64367 + 0.269831i
\(694\) −0.392080 + 6.95386i −0.0148831 + 0.263965i
\(695\) −2.04175 21.6864i −0.0774481 0.822612i
\(696\) 11.0830 + 6.06405i 0.420099 + 0.229857i
\(697\) −28.1301 + 36.4626i −1.06550 + 1.38112i
\(698\) −1.37028 0.314046i −0.0518658 0.0118868i
\(699\) 7.91451 6.67866i 0.299354 0.252610i
\(700\) −11.2946 + 0.849802i −0.426898 + 0.0321195i
\(701\) −13.7443 + 15.6806i −0.519115 + 0.592249i −0.950812 0.309770i \(-0.899748\pi\)
0.431696 + 0.902019i \(0.357915\pi\)
\(702\) 0.702939 + 112.322i 0.0265307 + 4.23933i
\(703\) −14.9917 + 28.6648i −0.565423 + 1.08112i
\(704\) 8.08156 25.5231i 0.304585 0.961938i
\(705\) 34.6555 + 19.5293i 1.30520 + 0.735516i
\(706\) −35.5784 17.2121i −1.33901 0.647786i
\(707\) −0.472834 10.7866i −0.0177827 0.405673i
\(708\) −34.5714 + 3.91091i −1.29927 + 0.146981i
\(709\) −7.84862 6.45662i −0.294761 0.242484i 0.476243 0.879314i \(-0.341998\pi\)
−0.771004 + 0.636830i \(0.780245\pi\)
\(710\) −31.7192 14.3768i −1.19040 0.539551i
\(711\) 45.5890 + 4.00449i 1.70972 + 0.150180i
\(712\) −7.07485 7.87061i −0.265141 0.294964i
\(713\) 70.5996 + 14.3304i 2.64398 + 0.536679i
\(714\) −110.221 + 75.5328i −4.12491 + 2.82675i
\(715\) 20.7234 + 14.9773i 0.775010 + 0.560119i
\(716\) −7.73791 6.52964i −0.289179 0.244024i
\(717\) 10.1207 + 13.4636i 0.377963 + 0.502809i
\(718\) −23.7641 + 2.99002i −0.886868 + 0.111586i
\(719\) 4.16289 + 2.41504i 0.155250 + 0.0900657i 0.577405 0.816458i \(-0.304065\pi\)
−0.422156 + 0.906523i \(0.638727\pi\)
\(720\) −38.4989 9.84376i −1.43477 0.366855i
\(721\) 5.39264 40.7967i 0.200832 1.51935i
\(722\) −3.14487 0.157580i −0.117040 0.00586453i
\(723\) −2.75489 + 1.20733i −0.102456 + 0.0449009i
\(724\) −65.1108 9.02149i −2.41982 0.335281i
\(725\) −2.06519 3.83119i −0.0766991 0.142287i
\(726\) 36.4441 17.6309i 1.35257 0.654344i
\(727\) −18.5635 1.16325i −0.688481 0.0431425i −0.285537 0.958368i \(-0.592172\pi\)
−0.402943 + 0.915225i \(0.632013\pi\)
\(728\) −8.17471 16.1185i −0.302975 0.597392i
\(729\) 0.586962 1.27374i 0.0217393 0.0471757i
\(730\) −10.5806 + 2.42492i −0.391607 + 0.0897502i
\(731\) −3.63473 + 4.83533i −0.134435 + 0.178841i
\(732\) 38.4318 67.2119i 1.42048 2.48422i
\(733\) −15.0991 17.6676i −0.557700 0.652569i 0.407770 0.913085i \(-0.366307\pi\)
−0.965470 + 0.260516i \(0.916107\pi\)
\(734\) −30.3857 36.4690i −1.12156 1.34609i
\(735\) 4.42675 + 11.8789i 0.163283 + 0.438159i
\(736\) 67.6240 + 0.846447i 2.49265 + 0.0312005i
\(737\) 21.0843 24.6709i 0.776651 0.908766i
\(738\) −33.0518 92.2029i −1.21665 3.39404i
\(739\) −8.31824 5.70038i −0.305991 0.209692i 0.402484 0.915427i \(-0.368147\pi\)
−0.708476 + 0.705735i \(0.750617\pi\)
\(740\) 36.0129 + 37.1578i 1.32386 + 1.36595i
\(741\) 58.5156 + 6.61962i 2.14963 + 0.243178i
\(742\) −2.78148 + 40.3414i −0.102111 + 1.48098i
\(743\) −5.77030 8.30829i −0.211692 0.304802i 0.701231 0.712934i \(-0.252634\pi\)
−0.912923 + 0.408133i \(0.866180\pi\)
\(744\) −33.5362 10.3884i −1.22950 0.380855i
\(745\) −52.2965 14.0713i −1.91600 0.515532i
\(746\) −52.8628 + 23.9601i −1.93545 + 0.877243i
\(747\) 14.4224 5.06834i 0.527688 0.185441i
\(748\) 13.9225 37.3601i 0.509057 1.36602i
\(749\) −2.31686 + 5.98704i −0.0846561 + 0.218762i
\(750\) 40.8572 + 44.3241i 1.49189 + 1.61849i
\(751\) 6.83240 + 10.9714i 0.249318 + 0.400354i 0.949576 0.313536i \(-0.101514\pi\)
−0.700258 + 0.713889i \(0.746932\pi\)
\(752\) −10.8762 4.28732i −0.396616 0.156343i
\(753\) 1.07832 + 34.4499i 0.0392960 + 1.25542i
\(754\) 18.1816 22.3855i 0.662136 0.815233i
\(755\) −30.3342 + 37.3480i −1.10397 + 1.35923i
\(756\) −2.79458 89.2808i −0.101638 3.24711i
\(757\) −16.9872 6.69623i −0.617412 0.243379i 0.0372433 0.999306i \(-0.488142\pi\)
−0.654655 + 0.755928i \(0.727186\pi\)
\(758\) 10.7031 + 17.1869i 0.388753 + 0.624258i
\(759\) −41.0953 44.5824i −1.49166 1.61824i
\(760\) 5.24858 13.5630i 0.190386 0.491981i
\(761\) −8.47967 + 22.7547i −0.307388 + 0.824855i 0.687712 + 0.725983i \(0.258615\pi\)
−0.995100 + 0.0988720i \(0.968477\pi\)
\(762\) 33.8342 11.8901i 1.22568 0.430731i
\(763\) −29.2752 + 13.2690i −1.05983 + 0.480371i
\(764\) 41.6093 + 11.1957i 1.50537 + 0.405047i
\(765\) −110.709 34.2938i −4.00269 1.23989i
\(766\) −35.5786 51.2274i −1.28551 1.85092i
\(767\) −1.31555 + 19.0801i −0.0475017 + 0.688943i
\(768\) 5.24198 + 0.593003i 0.189154 + 0.0213981i
\(769\) 30.7551 + 31.7329i 1.10906 + 1.14432i 0.988439 + 0.151618i \(0.0484482\pi\)
0.120619 + 0.992699i \(0.461512\pi\)
\(770\) −29.5068 20.2206i −1.06335 0.728699i
\(771\) 6.24905 + 17.4327i 0.225054 + 0.627822i
\(772\) 42.0659 49.2217i 1.51399 1.77153i
\(773\) −4.09303 0.0512323i −0.147216 0.00184270i −0.0611260